Therefore , the solution of the given problem of angles comes out to be m∠G= 63° is the response to the second component of the query.
What does an angle mean?The curved lines which make up the ends of a skew are divided by its highest and bottom walls using Cartesian measurements. There is a possibility who two poles will collide at an intersection. Another result of two objects interacting is an angle. They most closely mimic dihedral shapes. Two line beams can be arranged in different ways between their extremities to form a two-dimensional curve.
Here,
m∠E + m∠F + m∠G = 180°
Additionally, we are aware that mE = (5x + 6)°, mF = (4x - 6)°, and mG = (5x - 2)°. When we enter these numbers into the formula above, we obtain:
=> (5x + 6)° + (4x - 6)° + (5x - 2)° = 180°
When we simplify and find x, we obtain:
=> 14x - 2 = 180
=> 14x = 182
=> x = 13
Now that we know the three vectors' values:
=> m∠E = (5x + 6)° = (5(13) + 6)° = 71°
=> m∠F = (4x - 6)° = (4(13) - 6)° = 46°
=> m∠G = (5x - 2)° = (5(13) - 2)° = 63°
In light of this, mE = 71°, mF = 46°, and mG = 63°.
The first portion of the question has the following solution:
=> m∠EFG = m∠E + m∠F + m∠G = 71° + 46° + 63° = 180°.
m∠G= 63° is the response to the second component of the query.
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to meet the required weight specification, a total of 30 yards of material must be used for each frame. what is the optimal solution? if ati purchase the professional grade for $8 per yard will optimal solution change?
The optimal solution would be to use $240 worth of professional grade material for each frame.
Describe Optimal Solution?An optimal solution is a solution that provides the best possible outcome for a problem or situation, given a set of constraints or requirements. In mathematical optimization, an optimal solution is the solution that maximizes or minimizes an objective function while satisfying a set of constraints.
In other words, an optimal solution is the solution that is most efficient, effective, or desirable according to a certain set of criteria. It is the solution that achieves the best possible outcome, given the available resources and limitations.
To find the optimal solution, we need more information about the specific weight specification and the cost of different types of materials.
However, if we assume that there is only one type of material available, and that it costs $x per yard, we can set up an equation to find the optimal solution:
30x = cost per frame
If the professional grade material costs $8 per yard, then the equation becomes:
30(8) = $240 per frame
So, the optimal solution would be to use $240 worth of professional grade material for each frame, assuming that it meets the weight specification. If the weight specification requires a different amount of material, or if there are other materials available at different prices, the optimal solution would be different.
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when a letterform is measured vertically, from the bottom of the descender to the top of the ascender, what unit is used? a.) mean line b.) point c.) x-height d.) pica
The unit used to measure the vertical height of a letterform from the bottom of the descender to the top of the ascender is the x-height. The correct answer to the question is option c) x-height.
The x-height is the height of the lowercase letters in a font, typically excluding ascenders and descenders. It is a crucial factor in typography because it affects the legibility and overall appearance of the text.
The x-height is measured in points, which is a unit of measurement commonly used in typography and printing. One point is equivalent to 1/72 of an inch, and it is abbreviated as "pt".
Therefore, the correct answer to the question is option c) x-height. Typography plays an essential role in graphic design, advertising, and branding, and understanding the measurement units used in typography is crucial for producing effective designs.
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Please help i really need help due tomorrow
The area of the composite figure is 80ft².
Define area of composite figure?Composite shapes may have overlaps between their perimeter and area.
Although we frequently define any shape's area through its perimeter, these two ideas are distinct. The area determines how much room the shape can store, while the perimeter merely draws the object's exterior border. Hence, the space that a shape encloses within its perimeter or boundary is its area.
Calculating the areas of various fundamental shapes is necessary to determine the area of a composite shape.
Breaking the form down is the easiest method:
Separate the composite shape into its constituent parts.
Each fundamental shape's area should be determined separately.
Add these areas together to determine the composite shape's area.
Here, first the area of the triangle:
1/2 × b × h
=1/2 ×(18-7-7) × 4
= 1/2 × 4 × 4
= 8ft².
Now, area of the rectangle:
b × l
= 4× 18
= 74ft².
Area of the whole figure = 8 + 72 = 80ft².
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Function "p" is in the form y = ax2 + c. If the values of "a" and "c" are both less than 0, which graph could represent "p"?
Question 6 options:
Graph D
Graph A
Graph C
Graph B
The correct option is - Graph B, represent quadratic function "p", when values of "a" and "c" are both less than 0.
Explain about the quadratic function?f(x) = ax² + bx + c, in which a, b, and c are numbers and an is not equal to zero, is a quadratic function.
A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.Regarding a line known as the axis of symmetry, all parabolas are symmetric. The vertex of a parabola is the location where the axis of symmetry of the curve crosses.You are aware that a line is defined by two points. This implies that there is only one line that incorporates both points if you are provided any two points in the plane.Standard form refers to the quadratic function f(x) = a(x - h)² + k, where an is not equal to zero. The graph opens either upward or downward depending on the value of a. The vertex is the point, while the line of symmetry is really the vertical line x = h. (h,k).The given function :
y = ax² + c.
a < 0 and c <0.
Thus, Graph B, represent function "p", when values of "a" and "c" are both less than 0, and the graph will open downward with c less than 0.
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Show your solutions.
1. )A payphone service charges $5. 00 for the first three minutes and $1. 00 for every minute additional or fraction thereof. How much will a caller have to pay if his call lasts for 8 minutes?
2. ) A jeepney passenger is charged $7. 50 for the first 4km and an additional $1. 25 per succeeding kilometers as fare. What is the cost of a 30km ride?
3. ) A private parking garage changes $100. 00 for the first three hours plus $35. 00 for each additional hour. Find the cost of parking for one whole day?
PLEASE! SHOW ME A SOLUTION.
Answer:
Step-by-step explanation:
1) $5 + (8 min - 3 min)($1/min) = $5 + $5 = $10
2) $7.50 + (30 km - 4 km)($1.25/km) = $7.50 + $32.50 = $40
3) $100 + (24 hr - 3 hr)($35/hr) = $100 + $735 = $835
Show by completing the survey slip on the answer sheet , how Samantha, a 14 year old girl who feels a lot of pressure to achieve at school, would complete the survey form
Samantha would fill in the following information on the survey sheet based on the data provided:
Sex: Female
Age: 13-14
How much pressure do you feel to achieve at school? c. A lot
Samantha, a 14-year-old girl, would complete the survey slip by selecting "Female" under "Sex," "13-14" under "Age," and "A lot" under "How much pressure do you feel to achieve at school?"
This indicates that Samantha is feeling a significant amount of pressure to succeed academically. It's common for high school students to feel pressure to perform well in school, and this can be due to various factors such as parental expectations, college aspirations, or personal goals.
As a school counselor, it's essential to understand the level of pressure students are experiencing to provide appropriate support and guidance. Identifying and addressing the sources of pressure can help students like Samantha better manage stress and achieve academic success.
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The question is -
A school counselor conducted a survey among a group of high school students using the following survey slip:
Survey (please tick the correct boxes)
Sex: Male Female
Age: 13-14 15 -16 17–18
How much pressure do you feel to achieve at school?
a. None b. A little c. A lot And d. the unbearable amount
Show, by completing the survey slip on the answer sheet, how Samantha – a 14-year-old girl who feels a lot of pressure to achieve at school – would complete the survey
A sheet of cardboard 10 inches by 12 inches will be made into a box by cut into equal sided squares from each corner and folding up the edges. write a polynomial expression that represents the area of the base according to the specified dimensions
Find the missing side length.
Answer: 9 cm
Step-by-step explanation: 4+5=9
Which scatterplots indicate a nonlinear relationship between the variables shown?
Select TWO correct answers.
Answer:
C and E
Step-by-step explanation: C represents a nonlinear relationship because a nonlinear relationship is a relationship that does not have a straight line. E is a nonlinear relationship because it does not have a straight line. Hope this helps!! :))
Also, please mark me brainliest!! :))
a studeny of road rage asked random samples of 596 men and 523 women about their behavior while driving based on their answers each person was assigned a road rage score on a scale of
In this study on road rage, a random sample of 596 men and 523 women were surveyed about their driving behavior.
Based on their responses, each individual was assigned a road rage score on a scale of .
The road rage score scale should be selected according to the researcher's preference, and it should be explained.The researcher should clarify how the data was collected in order to improve the study's transparency and reliability.
ll of these aspects should be explained to make the research findings more reliable.The study's results should be presented in tabular or graphical format to better comprehend the data.
The researcher can use bar charts, pie charts, or histograms, among other things. The researcher should also utilize statistical tools such as mean, median, and mode to present the data's central tendency.
Based on the road rage score results, the study's conclusions and implications should be drawn.
The researcher should emphasize the gender-based findings of the study and discuss whether there is a difference between male and female road rage. Furthermore, the study should propose measures to reduce road rage among motorists.
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what is the product of (8.8x10^6)(5x10^2)?
can u guys show how u do it? because i need to show work on it. Pls.
A.4.4 x 10^8
B. 4.4 x 10^9
C. 4.4 x 10^10
D. 4.4 x 10^12
Answer:
B. 4.4×10^9
Step-by-step explanation:
8.8×10^6×5×10^2
=8.8×5×10^(6+2)
=44×10^8
=4.4×10^9 is the answer
a large bag contains marbles of different colors. there are 10 red marbles, 5 blue marbles and 7 yellow marbles. when selecting 3 marbles without replacement, find the probability of selecting 3 red marbles
A large bag contains marbles of different colors. there are 10 red marbles, 5 blue marbles and 7 yellow marbles. when selecting 3 marbles without replacement, the probability of selecting 3 red marbles is 1/54.
The probability of selecting 3 red marbles is 1/54.What is a probability?
Probability refers to the likelihood or chance of an occurrence. The probability of an event occurring is the ratio of the number of favourable outcomes to the total number of possible outcomes.
A fraction or a decimal is used to express it.The total number of marbles in the bag is 10 + 5 + 7 = 22 marbles.
There are ten red marbles in the large bag, so the number of ways to select 3 red marbles from ten red marbles is:
[tex]10C_3 = (10 \times 9 \times 8) / (3 \times 2 \times 1) = 120[/tex]
There are 22 marbles in the bag, therefore, the total number of ways to pick 3 marbles from 22 is:
[tex]22C_3 = (22 \times 21 \times 20) / (3 \times 2 \times 1) = 1540[/tex]
Hence, the probability of choosing 3 red marbles out of the 22 marbles in the bag without replacement is:120/1540 = 1/54
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A trazpodizi has an aera of 35 mm2 what is the height
The height of the trapezium is 5mm, given that the two parallel sides have lengths of 6mm and 8mm, and the area of the trapezium is 35mm².
To find the height of a trapezium given its area and the lengths of its parallel sides, we use the formula:
Area = (a + b) * h / 2
where a and b are the lengths of the parallel sides, h is the height, and Area is the area of the trapezium.
In this case, we are given that the area of the trapezium is 35mm², and we know that the two parallel sides have lengths 6mm and 8mm. So, we can substitute these values into the formula and solve for h:
35 = (6+8) x h/2
Simplifying the right-hand side of the equation, we can combine the two lengths of the parallel sides and multiply by h, and then divide by 2 to get:
35 = 14h / 2
Multiplying both sides by 2, we get:
70 = 14h
Dividing both sides by 14, we get:
h = 5
Therefore, the height of the trapezium is 5mm.
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setting up squares of known dimension over the entire pattern describes what method of documentation?
The method of documentation that describes the setting up of squares of known dimension over the entire pattern is known as grid method.
Grid method is a method of documentation that involves the setting up of squares of known dimensions over the entire pattern to document a site. This method is commonly used in archaeological surveys and historical preservation.
Grids are used to help maintain a sense of orientation and scale in the documentation process, and they provide a reference point for mapping and recording data. Grids can be set up on maps or site plans, as well as on the ground using physical markers such as stakes or string.Grids can also be used to help facilitate excavation by allowing archaeologists to isolate specific areas of a site and keep track of their findings in a consistent and organized manner.Therefore, grid method is a simple and effective way of recording data, and it is still widely used in the field of archaeology today.
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Refer to the map of Florida the distance on the map between Daytona beach and Orlando is 2 units what is the actual distance between Daytona beach and Orlando?
According to the information, the distance between Daytona beach and Orlando would be 52 miles.
How to calculate the distance from Daytona beach to Orlando?To calculate the distance from Daytona beach to Orlando we must perform the following rule of three mathematical procedure:
1. In this case, we must consider the procedure like this:
If one unit is equal to 26 miles, how many miles are 2 units equal to?
1 unit = 26 miles2 units = ?miles2 * 26 miles / 1 = 52 miles.So, we can conclude that the distance between Orlando and Baytona beach is 52 miles.
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an individual purchased 250 program licenses; 50 licenses will go to the satellite office out of state, and the remaining licenses will be distributed among 10 company departments of varying size. do you have the information you need to solve for how many licenses each department will get?
The answer is yes, we have all the information needed to solve for how many licenses each central office department will get.
If this very individual acquired about 250 program licenses and 50 licenses are taken or conveyed to departments in the satellite office of same organization, then, number of licenses which will be moved to the central office is:
= 250 - 50
= 200 licenses.
This conclude that 200 licenses will be moved to the central office while 50 licenses will be kept or used at the satellite office.
Then, as given if there are 10 company's departments in central office of this organization and all that 250 licenses will be evenly or equally distributed among the departments, each department will get:
200/10
= 20 licenses.
Since dividing 200 by 10 does give a perfect integer, then there's no further information we are yet to be furnished with. One department will get 10 license.
Therefore, we have all the information we need to solve for how many licenses each central office department will get.
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Find one solution for the equation, (2x-3)(3x+5)=0.
The two solutions to the equation (2x - 3)(3x + 5) = 0 when solved are x = 3/2 and x = -5/3
How to determine the solution to the equationGiven that, we have the following equation
(2x - 3)(3x + 5) = 0
The above equation means that
2x - 3 = 0 and 3x + 5 = 0
When the equations are evaluated, the equations becoms
2x = 3 and 3x = -5
Lastly, we divide both sides of the equation by the coefficent of x i.e 2 and 3
So, we have
x = 3/2 and x = -5/3
So, the values of the solutions to the equation are x = 3/2 and x = -5/3
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Please help anyone!!
(57x -32< 72 respuesta son desigualdades
Answer:
x < 2
Step-by-step explanation:
57x - 32 < 72
57x < 104
x < 2
a quantity with an initial value of 2900 grows exponentially at a rate such that the quantity doubles every 7 days. what is the value of the quantity after 54 hours, to the nearest hundredth
Answer: 3623.75
Step-by-step explanation:
4. The three graphs represent the progress
of three runners in a 400-meter race.
The solid line represents runner A. The
dotted line represents runner B. The
dashed line represents runner C.
distance (meters)
400
300
200
100
10
40
20 30
time (seconds)
a. One runner ran at a constant rate throughout the race. Which one?
b. A second runner stopped running for a while. Which one? During which interval
of time did that happen?
c. Describe the third runner's race. Be as specific as possible.
d. Who won the race? Explain how you know.
Answer:
a. Runner A ran at a constant rate throughout the race.
b. Runner B stopped running between 20 and 30 seconds.
c. Runner C started off slow and gradually increased speed until reaching their maximum speed, then gradually slowed down towards the end of the race.
d. Runner A won the race because they crossed the finish line first, at 40 seconds, which is before runners B and C.
a. For which angle measures, 0, between 0 and
2π radians is cos(0) = 0? Label the
corresponding points on the unit circle.
b. What are the values of sin(x) for these angle
measures?
False to say that "cos(0) = 0." Cos(0) is equal to 1, as the input yields the x-coordinate of the spot on the circle for each arc in right spot, where first side coincides positive x-axis or final side spins clockwise first side.
What does it mean to coincide?
occupying the same location in time or space; coinciding; taking up the same spots on a scale. 3. Exactly concur.
Nevertheless, if the query is changed to ask for the angle that measures between 0 & 2 radians for which cos(x) = 0, the response is:
When x is equal to 2 or 3, cos(x) equals 0. The unit circle's corresponding points at these angles are, respectively, (0, 1) and (0, -1).
b. The sin(x) values for these angle measurements are:
As the equivalent point is at (0, 1) just on unit circle, sin(/2) equals 1.Due to (0, -1) being the corresponding point on the unit circle, sin(3/2) = -1.
therefore, False to say that "cos(0) = 0." Cos(0) is equal to 1, as the input yields the x-coordinate of the spot on the circle for each arc in right spot, where first side coincides positive x-axis or final side spins clockwise first side.
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find the perimeter
side A: x+10y units
side B:7x^2-x+9y units
Answer:
14x^2 + 2y
Step-by-step explanation:
We are given two expressions as the side lengths of a rectangle we must find the perimeter.
The formula for perimeter of a rectangle is [tex]P=l+l+w+w[/tex]. Judging by this, we will have add up all the sides of the rectangle. Lets start by adding the two length expressions first.
[tex](x+10y)+(x+10y)[/tex]
Add x terms
[tex]2x[/tex]
Add y terms
[tex]2x+20y[/tex].
Now lets add the width terms
[tex](7x^2 - x - 9y) + (7x^2 - x - 9y)[/tex]
Add x squared terms
[tex]14x^2[/tex]
Add x terms
[tex]14x^2-2x[/tex]
Add y terms
[tex]14x^2-2x-18y[/tex]
Now we need to add both of the two expressions together
[tex](14x^2-2x-18y)+(2x+20y)[/tex]
We can bring down our x squared term since we have no like terms
[tex]14x^2[/tex]
Add x terms, which cancel.
[tex]14x^2+0[/tex]
Add y terms
[tex]14x^2 +2y[/tex]
The perimeter of the rectangle is 14x^2 + 2y
7(x+4)= -21 i need help pls help me its hard 8th grade btw
The given equation is 7(x+4) = -21 . Therefore, the value of x is 7
In mathematics, an equation is a formula that connects two expressions with the equal sign = to indicate that they are equal. An equation is made up of two expressions joined by an equal sign ("="). Expressions for both sides of the equals sign are called the "left side" and the "right side" of the equation. Many times the right side of the equation is assumed to be zero. Assuming this does not reduce generality, this can be achieved by subtracting the right side from both sides.
According to the Question:
The given equation is:
7(x+4)= -21
⇒ 7x + 28 = -21
⇒ 7x = -49
⇒ x = 7
Complete Question:
Solve the Equation : 7(x+4)= -21
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answered • expert verified
A pyramid and a prism share the same base. The prism has 99 edges. How many faces does the pyramid have
A pyramid with a base having n sides will have n + 1 faces, excluding the base. So, the pyramid that shares the same base as the prism will have 16 + 1 = 17 faces.
Let's say the base of the pyramid is a polygon with n sides. There are n faces in the pyramid (excluding the base), each of which is a triangle. Since there is just one base, the number of faces in the pyramid is n + 1.A prism is a polyhedron that is formed when two congruent polygons are joined by parallelograms. As a result, a prism with a polygon base has two polygons as bases and a number of rectangular faces equal to the number of sides of the polygon, which in this scenario is n.There are 2 bases and n rectangular faces in total for the prism. Since the number of edges in the prism is 99, we may express this as:Edges in prism = (Number of edges in each rectangular face × Number of rectangular faces) + (Number of edges in each base × Number of bases)= [tex]4n + 2n = 6n = 99n = 16.5[/tex] faces are in the pyramid = 16 + 1 = 17 faces.
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WILL MARK BRAINLIEST!!Which of the box and whisker plots represent data that has a medium of 18 and a lower quartile of 16?
Plots one and three
Plots one and two
Plot three
Plot two
Answer: Plot 2
Step-by-step explanation:
There are 19 animals in the field. Some are cows and some are ducks. There are 60 legs in all. How many of each animal are in the field?
Answer:
There are 11 cows and 8 ducks
Step-by-step explanation:
x will represent number of cows and (19-x) will represent ducks
[tex]4x+2(19-x)=60[/tex]
multiply 2 with (19-x)
[tex]4x+38-2x=60[/tex]
add your x's
[tex]2x+38=60[/tex]
subtract 38 on both sides
[tex]2x=22[/tex]
then divided 2 on both sides
[tex]x=11[/tex] cows
now to find ducks subtract
[tex]19-11[/tex]
your answer will be 8
So there are 11 cows and 8 ducks
to double check do this
[tex]11*4 + 8*16\\=44+16\\=60[/tex]
Simplify (4x3y − 5x2y + 6y) − (9x3y − 3x2y − 6y).
The simplified expression is −5x³y − 2x²y + 12y.
The given expression is (4x³y − 5x²y + 6y) − (9x³y − 3x²y − 6y). To simplify this expression, we need to distribute the negative sign inside the second set of parentheses and then combine like terms.
Distributing the negative sign inside the second set of parentheses, we get:
(4x³y − 5x²y + 6y) − 9x³y + 3x²y + 6y
Next, we can group the terms that have the same variables and exponents:
4x³y − 9x³y = −5x³y −5x²y + 3x²y = −2x²y 6y + 6y = 12y
Finally, we can combine the like terms to obtain the simplified expression:
−5x³y − 2x²y + 12y
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Answer:
B:−5x3y − 2x2y + 12y
Step-by-step explanation:
i took the test and got it right
a. is w in fv1; v2; v3g? how many vectors are in fv1; v2; v3g? b. how many vectors are in span fv1; v2; v3g? c. is w in the subspace spanned by fv1; v2; v3g? why?
a. No, w is not in fv1; v2; v3g. There are three vectors in fv1; v2; v3g.
b. There are three vectors in the span of fv1; v2; v3g.
c. No, w is not in the subspace spanned by fv1; v2; v3g. This is because the subspace is the set of all linear combinations of the vectors in the span, and w does not have to be a linear combination of the vectors in the span.
To prove this, we first need to recall the definition of the span: it is the set of all linear combinations of a set of vectors. A linear combination is a sum of the vectors, multiplied by constants. For example, if we have a vector v1, and two constants a and b, then the linear combination of a*v1 and b*v1 is (a + b)*v1. If a vector w is not a linear combination of v1, then w is not in the span of v1.
The same logic applies to the vectors fv1; v2; v3g. If w is not a linear combination of these three vectors, then w is not in the subspace spanned by these three vectors. We can prove this by showing that w cannot be a linear combination of fv1; v2; v3g. This is because the only way to create a linear combination of these vectors is to multiply them by constants, and since w is not one of the vectors, it cannot be multiplied by a constant. Therefore, w is not in the subspace spanned by fv1; v2; v3g.
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An plane covers 50 miles in 1/5 of an hour. How many miles can the plane cover in 5 hours
Answer: 1250 miles
Step-by-step explanation:
50 miles in 1/5 of an hour = 250 miles in 1 hour = 1250 miles in 5 hours
Answer:
1,250
Step-by-step explanation:
50 divided by 1/5 equals 250.
Multiply 250 by 5.
250*5= 1,250