Answer:
Step-by-step explanation:
The common ratio = 100/500 = 1/5 and the first term a1 = 500.
The rule is a1=500; an = 1/5a(n-1)
For 5 points and brainliest to the best correct answer, find the missing measures.
Thank you
Answer:
x = 7y = 97°z = 19Step-by-step explanation:
The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.
__
Angle y forms a linear pair with the one marked 83°, so is supplementary to it:
y = 180°-83° = 97°
__
The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.
(7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle
10x +27 = 97 . . . . . . . collect terms
10x = 70 . . . . . . . . subtract 27
x = 7 . . . . . . . . divide by 10
__
The side marked Z is congruent to the opposite parallel side, so ...
z = 19
__
The missing measures are ...
x = 7y = 97°z = 19_____
Additional comment
You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...
(7x -5) +(3x +32) +83 = 180
Subtracting 83° from both sides gives the equation we used above.
HELP ME PLEASE ILL MARK U THE BRAINLEST THING PLEASEE I BEG
Answer:
See below ~
Step-by-step explanation:
a)
The intersection of the points represents where they had travelled the same distance at that timeb)
Leslie passed Gale at approximately 2:00 PMc)
Leslie had travelled about 20 miles when they passed Galed)
Between 1:30 and 3:00, Gale had not moved any distance w.r.t time, meaning she had stopped, presumably to take a break, or to fix something that may have happened to her bikee
Rate of covering distance = 10 miles/1 hourTotal distance = 60 milesTotal time = 60/10 = 6 hoursNoon + 6 hours = 6:00 PMA 25-foot tree casts a 6 1/4-foot shadow. At the same time, a fence casts a 2-
foot shadow. How tall is the fence?
Answer: 16.666666 feet
Explanation: 25/9=x/6 (25*2)/3 =50/3 I hoped this helped you solve your problem. Have a good day love!
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The Height of the fence is 8 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
tan(θ) = Perpendicular/Base
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
Given that a 25-foot tree casts a 6 1/4-foot shadow. Also, At the same time, a fence casts a 2-foot shadow.
Length of the shadow = 6 1/4 feet = 6 + 1/4 = 6.25 feet
Now, since the sun is at the same angle, therefore, the angle between the top of the object and the top of the its shadow will be the same for all the objects. Therefore,
tan(θ) = Height of the tree/Shadow of the tree = Height of the fence/Shadow of the fence
tan(θ) = 25 feet / 6.25 feet = Height of the fence / 2 feet
Height of the fence = (2feet × 25 feet) / 6.25 feet
Height of the fence = 8 feet
Hence, the Height of the fence is 8 feet.
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Which expressions are perfect square trinomials? check all that apply. x2 16x 8 x2 14x 49 x2 – 5x 25 x2 – 24x 144 x2 9x – 81
The perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] , [tex]x^2-24x+144[/tex]Expression 2 and 4 are correct.
What are trinomials?A mathematical expression with three terms or three monomials is called a trinomial. Polynomials having only three terms are known as trinomials.
The second and fourth expression seems to be the perfect square let's check it.
Expression 2;
[tex]x^2 + 14x+49 \\\\ x^2+7x+7x+49 \\\\ x(x+7)+7(x+7)\\\\ (x+7)(x+7) \\\\ (x+7)^2[/tex]
Expression 4;
[tex]x^2-24 x +144 \\\\ x^2-12x-12x+144 \\\\ x(x-12)-12(x-12) \\\\ (x-12)^2[/tex]
Hence the perfect square trinomial will be [tex]\rm x^2+14x+49[/tex] , [tex]x^2-24x+144[/tex] .Expressions 2 and 4 are correct.
To learn more about the trinomials refer to the link;
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Answer:
Options 2 and 4
Step-by-step explanation:
Subtract and write your answer as mixed number. 5 3/4 - 1 2/3
Answer: 4 1/12
Step-by-step explanation:
pls need help in math<3
[tex]8 \times 60 = 480 \: \: min[/tex]
For 3 people
____________________________________________
Thus for each person it may take :
[tex]480 \div 3 = 160 \: \: min[/tex]
And for 5 people it will take :
[tex]160 \times 5 = 800 \: \: min[/tex]
Answer is 780 minutes
2.6 hours = 1 person
8/3 = 2.66 (continuing)
5 x 2.6 = 780 minutes (13 hours)
So, 5 people = 780 minutes
780, if rounded, = 800
Please solve this and only answer with image
[tex]\cot^4 A - \cot^2 A = 1\\\\\cot^4 A = 1 + \cot^2 A\\\\\frac{\cos^4 A}{\sin^4 A} = 1 + \frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A}{\sin^2 A}+\frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A+\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{1}{\sin^2 A}\\\\\cos^4 A = \frac{\sin^4 A}{\sin^2 A}\\\\\cos^4 A = \sin^2 A\\\\[/tex]
This then means,
[tex]\cos^4 A + \cos^2 A = 1\\\\\sin^2 A + \cos^2 A = 1\\\\[/tex]
which is the pythagorean trig identity. This concludes the proof.
Therefore, if [tex]\cot^4 A - \cot^2 A = 1[/tex], then [tex]\cos^4 A + \cos^2 A = 1[/tex]
how do you solve this
Answer: 254.5
Step-by-step explanation:
What’s the distance between -50 and 30
Answer:
80
Step-by-step explanation:
-50+x=30
x=80
Answer:
im pretty sure its 80
Step-by-step explanation:
Suppose a car burns 1 gallon of gas in 25 miles. How much gas will be burned on a trip
of 400 miles?
Answer:
16
Step-by-step explanation:
400 miles / 1 gallon every 25 miles = 16 gallons total
!!!!40 POINTS AND BRAINLIEST!!!!
If you are trying to calculate a company's initial profit, you can graph the profit function
and find:
A)the highest point of the graph.
B)the point where the graph crosses the x-axis.
C)the lowest point of the graph.
D)the point where the graph crosses the y-axis.
(Make sure to explain)
Answer:
D) the point where the graph crosses the y-axis
Step-by-step explanation:
The "initial" value of a function is generally taken to mean the function value when the independent variable is zero.
On a graph of the profit function, that will be the y-intercept: the point where the graph crosses the y-axis.
__
The highest point on the graph will be the maximum profit.
The points where the graph crosses the x-axis will be where profit is zero, referred to as "break-even" points.
The lowest point on the graph will be where the profit is a minimum. That point may actually indicate a loss (negative profit).
Agnes pays state income tax equal to 3.75% of her federal taxable income. she pays federal income tax equal to 28.4% of her federal taxable income. this year, she paid $15,449.60 in federal income tax. how much did agnes pay in state income tax? a. $573.36 b. $4,387.69 c. $1,170.04 d. $2,040.00 please select the best answer from the choices provided a b c d
Based on the information the amount that Agnes paid as state income tax is $2,040.
What is the federal income?Federal Income Tax is the tax system in the United States, levied and governed by Internal Revenue Services (IRS) which helps determine the tax that is charged on the income earned by individuals, corporates, and various other legal entities.
The first step is to calculate Agnes' federal taxable income.
Federal taxable income=$15449.60/0.284
Federal taxable income= $54,400
The second step is to calculate Agnes' state income tax.
State income tax=0.0375 ×$54,400
State income tax=$2,040
Hence, the amount that Agnes paid as state income tax is $2,040.
Learn more here federal income:
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Answer:
its d
Step-by-step explanation:
An auditorium has 25 rows of seats and a total of 500 chairs.
How Many chairs in each row?
HELP! WILL GIVE BRAINLEST!
Answer:
A
Step-by-step explanation:
tan theta will equal zero if theta = n × pi where n is an integer
Gale the birthday clown is blowing up a fun spherical shaped balloon at a constant rate of 100 cubic inches per minute. How fast is the radius increasing when the sphere contains 50 cubic inches of clown breath
Answer:
Step-by-step explanatio the way the question is phrased Is confusing
6 cm 4 cm 10 cm What is the surface area of the figure? square centimeters
Answer:
2 x 10 x 4 + (4 + 10) x 2 x 6 = 80 + 168 = 248
uhh lol help?
'' The Jurassic period (199.6 million to 145.5 million years ago) was characterized by a warm, wet climate that gave rise to lush vegetation and abundant life. Many new dinosaurs emerged—in great numbers. Among them were stegosaurs, brachiosaurs, allosaurs, and many others. Combined these three dinosaurs measured over 749 feet tall. The brachiosaurs was four times larger than the allosaurs, the stegosaurs was twice the size of the allosaurs. How tall was the brachiosaurs? "
A. 107 feet
B. 214 feet
C. 321 feet
D. 428 feet
y=2x^2-18x+40 solved in square root
Answer:
x=-4
or
x=-5
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((0 - 2x2) - 18x) - 40 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-2x2 - 18x - 40 = -2 • (x2 + 9x + 20)
Trying to factor by splitting the middle term
3.2 Factoring x2 + 9x + 20
The first term is, x2 its coefficient is 1 .
The middle term is, +9x its coefficient is 9 .
The last term, "the constant", is +20
Step-1 : Multiply the coefficient of the first term by the constant 1 • 20 = 20
Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is 9 .
-20 + -1 = -21
-10 + -2 = -12
-5 + -4 = -9
-4 + -5 = -9
-2 + -10 = -12
-1 + -20 = -21
1 + 20 = 21
2 + 10 = 12
4 + 5 = 9 That's it
1.
Please show steps
Write the expression in simplest form.
( Sqrt x-sqrt3y) (sqrt x + sqrt3y)
[tex]\left(\sqrt x - \sqrt{3y} \right) \left(\sqrt x + \sqrt{3y} \right)\\\\=\left(\sqrt x\right)^2 - \left(\sqrt{3y} \right)^2\\\\=x -3y[/tex]
x - 3y
Solving Stepwise:
[tex]\hookrightarrow \sf \left(\sqrt{x}-\sqrt{3y}\right)\left(\sqrt{x}+\sqrt{3y}\right)[/tex]
[tex]\sf apply \ the \ rule : \bold{\left(a-b\right)\left(a+b\right)=a^2-b^2}[/tex][tex]\hookrightarrow \sf \left(\sqrt{x}\right)^2-\left(\sqrt{3y}\right)^2[/tex]
[tex]\hookrightarrow \sf x-3y[/tex]
6. What is the area of the shared region to the nearest
tenth of square ft?
[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=50\\ r=36 \end{cases}\implies \begin{array}{llll} A=\pi (50-36)\implies A=14\pi \\\\\\ A\approx 44.0 \end{array}[/tex]
(21x⁵· y⁸)² divided by 3x²
show ur work
[tex]\cfrac{(21x^5y^8)^2}{3x^2}\implies \cfrac{((3)(7)x^5y^8)^2}{3x^2}\implies \cfrac{3^2\cdot 7^2x^{5\cdot 2}y^{8\cdot 2}}{3x^2}\implies \cfrac{3^2}{3}\cdot \cfrac{7^2 x^{10} y^{16}}{x^2} \\\\\\ 3\cdot 7^2 x^{10}\cdot x^{-2} y^{16}\implies 3\cdot 49x^{10-2}y^{16}\implies 147x^8y^{16}[/tex]
It took a car 3 hours to travel from town a to town b the wheel of a car completes a rotation in one second how many degrees has it turned
The number of degrees that have been turned by the car when it travels from town a to town b will be 1080°.
How to calculate the number of degrees?From the information given, it was stated that it took a car 3 hours to travel from town a to town b and the wheel of a car completes a rotation.
In this case, a rotation is 360°, since there are 3 rotations, the degrees will be:
= 360 × 3
= 1080°
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Your mom is building a garden around a fountain she has a space marked out but decides she wants to enlarge it without altering the center of it what type of transformation is this
Answer:
u didnt give out the choses but it might be a chance to be dilation
Step-by-step explanation:
"the action or condition of becoming or being made wider, larger, or more open."
since she enlarge it without altering the center of it
(1) State 3 side lengths that would create a triangle.
(2) State 3 angle measures that would create a right isoscele
triangle.
Answer:
1) 1, 1, [tex]\sqrt{2}[/tex]
2) 45°, 45°, 90°
Step-by-step explanation:
side lengths need to be proportional like 1, 1, [tex]\sqrt{2}[/tex], which is proportional for isoscele triangle.
isosceles is the one that has 90° angle and 2 equal angles so two 45° angles.
The radius of a circle is 3 ft. Find its area in terms of
π
π.
area of circle = πr² (where "r" is the radius)
===========
Here the radius: 3 ft
Area:
πr²π(3)²9π
A large aircraft is flying on a bearing of 310° (50° west of north) with an airspeed of 700 mph. It is being affected by a 100 mph wind
blowing towards the west, as shown in the diagram below.
The distance, R, as indicated in the diagram, that the plane has travelled after 1 hour is, to the nearest mile,
Answer:
779
Step-by-step explanation:
Aiming to get the value of formula
Given that
50° + 80² = 140°.
:: Cos140² = 100 + 700²³ - R²
kaw of ousines axivox. T
·· R² = 607246
R≈ 780 miles
• The result is T80 miles
Which of the following is equal to? ( in picture)
Answer:
2 option hope it helps
Hence, option D is correct.
Explanation:[tex]\dashrightarrow \sf \sqrt{\sqrt[3]{2}}[/tex]
apply radical rule
[tex]\dashrightarrow \sf \left(2^{\dfrac{1}{3}}\right)^{\dfrac{1}{2}}[/tex]
apply exponent rule
[tex]\dashrightarrow \ \sf 2^{\dfrac{1}{6}}[/tex]
this is writing linear equations
Answer:
[tex]y = 3x +1[/tex]
Step-by-step explanation:
We can verify it by substituting the [tex]x[/tex] with the numbers in the [tex]x[/tex] column to get the same [tex]y[/tex] in the [tex]y[/tex] column.
Check:
[tex]y = 3(-2) +1\\y = -6 +1\\y= 5[/tex]
It matches; therefore, the answer is [tex]y = 3x +1[/tex]. You can try with the other equations given and take the same steps, but it will not match.
The first sequence rule is subtract 10 starting from 55. The second sequence rule is add 3 starting from 6. What is the first number that appears in both sequences? 15
12
9
5
Answer:
15
Step-by-step explanation:
Trust me it 15.
Too long to explain...
Please help with 12. Simplify.
[tex]\dfrac 1{x+y} + \dfrac{3}{x-y} + \dfrac{2}{x^2-y^2} \\\\\\=\dfrac 1{x+y} + \dfrac{3}{x-y} + \dfrac{2}{(x+y)(x-y)}\\ \\\\=\dfrac{x-y+3(x+y)+2}{(x+y)(x-y)}\\\\\\=\dfrac{x-y+3x+3y+2}{(x+y)(x-y)}\\\\\\=\dfrac{4x+2y+2}{(x+y)(x-y)}\\\\\\=\dfrac{2(2x+y+1)}{(x+y)(x-y)}[/tex]