Answer:
Around 295m
Step-by-step explanation:
Answer:
295.44 m to the neaest hundredth
Step-by-step explanation:
A line drawn from the kite perpendicular to the ground forms 2 right triangles. Let this line be x m.
Also let y be the distance from Allison to the bottom of the line.
Consider 'Alison' triangle
cos 70 = y/150
y = 51.303 m
sin 70 = x/150
x = 150 sin 70 = 140.954 m
Consider 'Marcs' triangle
tan 30 = x / (AM - y)
tan 30 = 140.954 / (AM - 51.303)
AM - 51.303 = 140.954/tan 30
AM = 140.954/tan 30 + 51.303
AM = 295.442 m
Nadia needs one cup of ice cream for every student in her class for their year-end party. The ice cream is only sold in pints. If there are 24 students in her class, how many pints of ice cream will she need? Describe how to solve this problem.
The pints of ice cream for the students is an illustration of metric units
Nadia needs 12 pints of ice cream for the 24 students
How to determine the pints of ice cream?The given parameter is:
Students = 24
She needs one cup for each student in the class.
So, the number of cups needed is:
Cups = 24
1 cup makes 1/2 pint.
So, we have:
Pint = 1/2 * 24
Pint = 12
Hence, Nadia needs 12 pints of ice cream for the 24 students
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Delta Math: Angle Terminology with Equations
Answer:
x = 13
Step-by-step explanation:
The relevant fact about vertical angles is that they are congruent, their measures are equal. This lets you write an equation relating the expressions for the measures of angles A and B.
__
∠A = ∠B
(8x -12)° = (6x +14)° . . . . . substitute given expressions
2x = 26 . . . . . . . . . . . divide by °, add 12-6x
x = 13 . . . . . . . . . . divide by 2
Last year, rusty’s tools experienced $67,550 in net sales, creating a gross profit of $50,338. if rusty had a total operating expense of $35,200 last year, what was his net profit margin? a. 22.4% b. 52.1% c. 74.5% d. 79.0%
The Net profit margin is 22.41%
Rusty's Tool experienced $67550 in net sales, creating a gross profit of $50338.
If Rusty had a total operating expense of $35200 then we have to find the net profit margin.
Since profit $50338 includes the operating expense of $35300 then net profit will be
= $50338 - $33500
= $15138
Now the selling price is given as $67550.
What is the formula for profit margin?
Profit margin = (Net profit/selling price) 100
Profit margin =151.38/675.50=22.41 %
Therefore, the answer is profit margin = 22.41%.
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Ponzi saves dimes and quarters. She has 12 coins adding up to $1.80. How many dimes does she have?
85, 58, 72, 85, 46, 93 Mean:? Median:? Mode:? Range:?
Answer:
Mean is 73.2. Median is 85. Mode is 85. Range is 47.
Step-by-step explanation:
First order the numbers. 46, 58, 72, 85, 85, 93. The mode is all of these numbers added up to get 439. divided by the amount of numbers there are. there are 6. so 439 divided by 6 is 73.166 or 73.2. Median is the middle of the data set which is 85. the mode is the number that appears the most in a data set which is also 85. the range is the highest number minus the lowest number so we get 93 - 46 to get 47.
Answer:
Step-by-step explanation:mode 85
mean 73.2
median 85
range 47
What is the surface area of this shape?
I tried getting the answer twice and both times I got 228, which the teacher said was wrong.
(each cube is one inch squared)
Step-by-step explanation:
the answer shoukd be 324
because in cube there are 6 sides
and one side contain 54 box
so... 54 × 6 = 324
What is the capacity of a cylinder if it’s 2.60m high and has a diameter of 160.0cm
Answer:
Step-by-step explanation:
pi = 3.14
h = 2.60 m
d = 160.0 cm
Radius
r = d/2
r = 160.0 / 2
r = 80.0 cm
height
There are 100 cm in 1 meter. The units have to agree.
2.6 m * 100 cm / m
2.6 * 100 = 260 cm
Formula
V = pi * r^2 * h
V = 3.14 * 80^2 * 260
V = 5224960 cm^3
If you want a more manageable number, you could convert this into m^3
That's done by
V = 5224960 / 1000000 = 5.22 m^3
What is the value of x?
Answer:
x = 27 units
Step-by-step explanation:
39 / ( 39+ 26) = x / (x+18)
x = 27
graph the line y=3x-7
Mathematics question (Optional math)
Answer:
Hi mate!
To prove:-[tex] \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} } = \sec( \theta) - \tan( \theta) [/tex]
Step-by-step explanation:
By taking LHS,
[tex] \maltese \: \: \large \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} } [/tex]
By rationalisation method,[tex] : \longrightarrow \bf \sqrt{ \frac{1 + \sin( \theta)}{1 - \sin( \theta)} \times \frac{1 + \sin( \theta)}{1 + \sin( \theta)} } \\ \\ : \longrightarrow \frac{ {( \sqrt{1 + \sin\theta }) }^{2} }{( \sqrt{1 - \sin( \theta)})(\sqrt{1 + \sin( \theta)}) } \\ \\ : \longrightarrow \frac{ {( \sqrt{1 + \sin\theta }) }^{2} }{ \sqrt{ {1}^{2} - { \sin}^{2} \theta } } \: \\ \\ : \longrightarrow \: \frac{1 + \sin \theta}{ \cos \theta } \\ \\ \longrightarrow \: \frac{1}{ \cos \theta } + \frac{ \sin \theta}{ \cos \theta} [/tex]
[tex] \: \: \: \: \: \bigg\lgroup \because \: \frac{1}{ \cos \theta }\: = \sec \theta \: \\ \: \: \: \: \: \: \: \: \: \: \: \frac{ \sin \theta}{ \cos \theta} = \tan \theta \bigg \rgroup[/tex]
[tex] \implies \boxed{\pink{ \sec \theta + \tan \theta }}[/tex]
Now taking RHS
[tex] \sf \sec \theta + \tan \theta [/tex]
[tex]\implies \: \: \frac{1}{ \cos \theta } + \frac{ \sin \theta}{ \cos \theta} \\ \\ \implies \frac{1 + \sin \theta }{ \cos \theta } [/tex]
Hence, proved
Answer:
[tex]\large{\pink{\underline\textsf{To Prove :-}}}[/tex]
[tex] \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } = \sec \theta + \tan \theta[/tex]
[tex] \huge{\orange{\underline{\textsf{Solution :-}}}}[/tex]
[tex] \sf \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } [/tex]
First we have to rationalize it to remove the square rootNow we will multiply √1+sinθ both sides[tex] \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } \times \sqrt{ \frac{1 + \sin \theta }{1 - \sin \theta } } \\ \sqrt{ \frac{ {(1 + \sin \theta) }^{2} }{(1 + \sin \theta)(1 - \sin \theta) } } \\ \sqrt{ \frac{ {(1 + \sin \theta) }^{2} }{1 - { { \sin}^{2} \theta } } }[/tex]
We know that sin²θ + cos²θ = 1so cos²θ = 1 - sin²θ[tex] \sqrt{ \frac{( {1 + \sin \theta })^{2} }{ { \cos}^{2} \theta} } \\ \frac{1 + \sin \theta }{ \cos \theta } \\ \frac{1}{ \cos \theta} + \frac{ \sin \theta }{ \cos \theta } [/tex]
[tex]\sf{\red { \sec \theta + \tan \theta}}[/tex]
[tex] \sf \huge \purple {HENCE \: \: PROVED! }[/tex]
what is 5x90-100 and divided by 2
Need help ASAP khan Academy geometry practice
Answer:
426.16
Step-by-step explanation:
v=r^2h π
π =3.14
v=6^2*4*3.14
v=426.16
help
Use the diagram to complete the statement.
m∠ECF=
Answer:
37°
Step-by-step explanation:
Angle ECF is vertical to angle ACG, so has the same measure. Angle ACG is the second acute angle in right triangle ACG, so is complemetary to angle CAG. It has measure ...
∠ECF = ∠ACG = 90° -∠CAG = 90° -53°
∠ECF = 37°
what is the value of x?
Answer:
k=10
Step-by-step explanation:
The reason is that we should solve the following equation:
4k+5 + 6k+10 + (180-115) = 180
by doing some basic algebra we get:
10k = 100
thus: k=10
A rectangular driveway is 7 feet wide, and it has an area of a square feet. How long is the driveway?
Please give how to solve every step
☆ Thank you ☆
Answer:
x = a/7
Step-by-step explanation:
Area is length x width, so let's call our unknown, the length, x
So the total area is 7 (the width) times x
If the total area is a, then we can write the equation a = 7(x)
Next, we have to isolate the variable for the length, x
To do this, we divide both sides by 7, leaving a/7 = x, or x = a/7
Please help and explain.
Answer: Plant A
Step-by-step explanation: In the graph for plant A, the X axis is the months and the Y Axis is the inches. You can compare the data for Plant B in the graph for Plant A and see that Plant A has a larger number of inches for each number of months. For example, if you look at 6 months. The chart for Plant B says Plant B is 3 inches, while if you look at 6 months on the graph for Plant A, Plant A is at 10 inches.
Liz flips a coin 60 times. The coin lands heads up 36 times and tails up 24 times. Complete each statement.
Answer: 58.33%
Step-by-step explanation:
So, Liz flipped the coin a total of 60 times
Let this be the denominator.
Probability of coin landing up: 35/60
Probability of coin landing down: 24/60
We need the probability of the coin landing up.
So, convert 35/60 into a percentage
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 1003560 × 100100= (35 × 10060) × 1100 = 58.33/100
So, the probability is 58.33%
6 - v = 260
Solve for V.
Answer:
............
Step-by-step explanation:
answer please it would help
Answer: x=99.54
Step-by-step explanation:
Answer:
94.2
Step-by-step explanation:
We are given a reference angle of 34, we are also given opposite and hypotenuse side of the triangle, following SOHCAHTOA, We know that to solve this question, we have to use sine.
sin(34) = x/178
Get x alone
178sin34 = x
178sin34 is equal to 94.17, since we are looking for one decimal, we can round to the tenths place. The number next to the tenths is seven so we round up.
Our answer is 94.2
please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
280°
Let's consider what the problem wants us to find:
fractional part covered by the labeled angleangle in radiansLet's find the fractional part:
⇒ the fractional part is equal:
[tex]\frac{degree-covered-by-angle}{total-angle} =\frac{280}{180} =\frac{2*2*7*10}{2*2*3*3*5} =\frac{7*10}{3*3*5} =\frac{70}{45}=\frac{14}{9}[/tex]
Answer: The angle 280 degrees covers 14/9 of a semicircle.
Let's find the angle measure in radians:
⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees
⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]
so [tex]280*\frac{\pi }{180} =\frac{28}{18}*\pi =\frac{28\pi }{18}=\frac{2*14*\pi }{2*9} =\frac{14\pi }{9}[/tex]
Answer: The angle 280 degrees in radians is [tex]\frac{14\pi} {9}[/tex] which in terms of [tex]\pi[/tex] is
14/9
Hope that helps!
∠ROP forms a right triangle.
Find the measure of ∠ROQ.
31°
hope it helps......!!!!!
Bruce collects the data on four electric circuits listed in the table. a 3 column table with 4 rows. the first column is labeled circuit with entries w, x, y, z. the second column is labeled voltage in volts with entries 18, 24, 34, 12. the last column is labeled resistance in ohms with entries 38, 34, 70, 18. bruce must report any circuits that deliver more than 4.0 c of charge in 8.0 s. which lists every circuit that bruce must include in his report? x and z x and y w and y w and z
The Bruce must include X and Z in his report.
We have given the data on four electric circuits listed in the table
For w :
Voltage, V=18\ V
resistance, [tex]R=38\ \Omega[/tex]
What is the formula for ohm's low?The formula of Ohm's low is V=IR
[tex]I=\dfrac{V}{R}[/tex]
[tex]I=\dfrac{18\ V}{38\ \Omega}[/tex]
I=0.47
[tex]q=0.47\times8[/tex]
So charge,q=It
q=3.76\ C
For x :
Voltage, V=24\ V
[tex]resistance, R=34\ \Omega[/tex]
so, V=IR...(Ohm's low)
[tex]I=\dfrac{V}{R}[/tex]
[tex]I=\dfrac{24\ V}{34\ \Omega}[/tex]
I=0.705
[tex]q=0.705\times8[/tex]
So charge,q=It
q=5.64\ C
For y :
Voltage, V=34\ V
resistance, [tex]R=70\ \Omega[/tex]
so, V=IR.......(Ohm's low)
[tex]I=\dfrac{V}{R}[/tex]
[tex]I=\dfrac{34\ V}{70\ \Omega}[/tex]
I=0.485
[tex]q=0.485\times8[/tex]
So charge,q=It
q=3.88\ C
For z :
Voltage, V=12\ V
resistance, [tex]R=18\ \Omega[/tex]
so, V=IR......(Ohm's low)
[tex]I=\dfrac{V}{R}[/tex]
[tex]I=\dfrac{12\ V}{18\ \Omega}[/tex]
I=0.66
[tex]q=0.66\times8[/tex]
So charge,q=It
q=5.28\ C
Therefore, the circuits X and Z deliver 5.64 C and 5.28 C of charge.
Hence, Bruce must include X and Z in his report.
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Answer: A) X and Z
Step-by-step explanation:
Got it right on edge.
What is the next term of the following sequence? 20, 10, 5, 2, ...
Answer:
40/2 = 20
20/2 = 10
10/2 = 5
5/2 = 2.5
2.5/2 = 1.25
what is the length of the line segment that has the endpoints A (-3,2) and B (1,0)
Distance measure how far an object have gone. The length of the line segment that has the endpoints A (-3,2) and B (1,0) is 2√5.
How to calculate the distance between two pointsThe formula for calculating the distance between two coordinates is expressed as:
D = √(x2-x1)²+(y2-y1)²
Given the coordinate points A (-3,2) and B (1,0), the length of the line segment that has the endpoint is given as:
D = √(0-2)²+(1+3)²
D = √(2)²+(4)²
D = √16+4
D=√20
D = 2√5
Hence the length of the line segment that has the endpoints A (-3,2) and B (1,0) is 2√5
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What is the purpose of tax deffered retirement accounts
The two common retirement accounts that allow people to minimize their tax bills are tax-deferred and tax-exempt accounts. Just to be clear, both types of retirement account minimize the amount of lifetime tax expenses someone will incur, which provides incentives to start saving for retirement at an early age.
Hope this helps :)
3x2-9=0 GCF. It’s Precalculus btw
Answer:
x = ± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
3x² - 9 = 0 ( add 9 to both sides )
3x² = 9 ( divide both sides by 3 )
x² = 3 ( take square root of both sides )
x = ± [tex]\sqrt{3}[/tex]
or
3x² - 9 = 0 ← factor out 3 from each term
3(x² - 3) = 0
equate x² - 3 to zero and solve for x
x² - 3 = 0 ( add 3 to both sides )
x² = 3 ( take square root of both sides )
x = ± [tex]\sqrt{3}[/tex]
The circle above has center O, the length of arc ADC is 57, and x = 100. What is the length of arc ABC ?
The length of arc ABC with center O and radius of 9 units is 13π.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the radius of the circle. Hence:
arc ADC = (100 / 360) * 2πr
5π = (100 / 360) * 2πr
r = 9 units
arc ABC = (260 / 360) * 2π(9) = 13π
The length of arc ABC with center O and radius of 9 units is 13π.
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Factor 35x + 7
F. 7(1 + 5x)
G. 7(1 + 35x)
J. 7(x + 5x)
Answer:
Did this at school today… the answer is F. 7(1+5x)
Step-by-step explanation:
rewrite 35 as 7x5
Rewrite 7 as 7x1
That will be 7(5x+7x1) factor out the 7 and the answer will be 7(5x+1)
What's the answer? I need it asap!
Volume of rectangle is
10 times 5 times 3
150 cm
3.14 times radius times 2 times height
So, 50.24 Cm
So its 200.24 Cm
pls helpT-T
(3rd periodical test in mathematics)
where are u from and why u need thes answer