An Electric company attaches support cables to a light pole by 24 feet from the ground and 7 feet from the base of the pole.
How long is each support cable in feet?

The schools is loacted at (1, -8) and the park is loacted at (-6,-8)

For the function to be a linear, D. a = 20 because the rate of change is –3.

The rate of change = change in y / change in x.

Therefore, for the function to be linear, the rate of change must be the same across the table of values.

Using, (4, 26) and (5, 23):

Rate of change = (26 - 23)/(4 - 5)

Rate of change = (3)/(1) = -3

Using (5, 23) and (6, a), we have:

(23 - a)/(5 - 6) = -3

(23 - a)/(-1) = -3

23 - a = (-3)(-1)

23 - a = 3

-a = 3 - 23

-a = -20

a = 20

Therefore, the answer is: D. a = 20 because the rate of change is –3.

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Answer:

The federal government's "enumerated powers" are listed in Article I, Section 8 of the Constitution. Among other things, they include: the power to levy taxes, regulate commerce, create federal courts (underneath the Supreme Court), set up and maintain a military, and declare war. It is their job to carry out constitutional responsibilities for society.

Step-by-step explanation:

The coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

-4π/5

To find the coterminal angle, add and subtract by 2π in the angle -4π/5

Coterminal angle:

= -4π/5 - 2π

= -14π/5

= -4π/5 + 2π

= 6π/5

Reference angle:

= π - 4π/5  (as the angle lies in the second quadrant)

= π/5

Thus, the coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

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[tex]\large\boxed{\bold{d= r ×2}}[/tex]

In this question all the required values are given so we'll simply have to solve.

Let's substitute the values according to the formula.

[tex]\bold{d= 8×2}[/tex]

[tex]\large\boxed{\bold{d= 16 \ ft}}[/tex]

Therefore, the diameter of the given circle is 16 ft.

Answer= Option D

Step-by-step explanation:

the volume of a cylinder is

base area × height.

and the base is a circle, and the area of a circle is

pi×r²

remember, the radius is half the diameter.

so, in our case, the volume is

pi×(18/2)²×20 = pi×9²×20 = pi×81×20 = pi×1620 =

= 5,089.380099... in³ ≈ 5,089 in³

Answer:

288

Step-by-step explanation:

quick calculator use

15% of 250 is 37.5

add that to 250 to get 287.5

can't sell half a shirt so the answer is 288

Hi!

[tex]\cfrac{bh}{2}[/tex]

Where b = base and h = height.

In the given problem, the base and height of the triangle are 10 inches and 7 inches.

Now, we can use the formula above.

If we plug in the given values, we have:

[tex]\dfrac{10*7}{2}[/tex]

Multiply 10 and 7:

[tex]\dfrac{70}{2}[/tex]

Divide:

[tex]35[/tex]

Using the triangle area formula, we have gotten a value of 35.

Therefore, the area of the triangle is 35 inches squared.

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Answer:

35 inches²

Step-by-step explanation:

Given Base and Height of triangle: 10 inches and 7 inches

To determine the area of a triangle, multiply the base and the height. Then divide the product of the base and the height by 2.

Therefore, the "area of triangle" formula is:

[tex]\boxed{\text{Area of a triangle} = \frac{\text{Base} \times \text{Height}}2}[/tex]

Now, substitute the base and the height in the formula. Then, simplify the expression to determine the area of the triangle provided.

[tex]\implies \text{Area of the triangle} = \dfrac{\text{10} \times \text{7}}2}[/tex]

[tex]\implies \text{Area of the triangle} = \dfrac{70}2} = \boxed{35 \ \text{in}^{2}}[/tex]

Therefore, the area of the triangle is 35 inches².

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Answer:

∠A≅∠Y        AB≅YX

∠B≅∠X          AC≅YZ

∠C≅∠Z         BC≅XZ

ΔACB ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

(0,3)

Step-by-step explanation:

Since you're moving up, you add to y the y-intercept.

hope this helps

have a good day

Answer:

0,3 it on the 0 so if you move up 3 it would go to the second number so 0,3

Answer:

5 cubic centimeters

Step-by-step explanation:

250 divided by 2 = 125

To get to 125 you can do 5 x 5 x 5.

Since it is a cube you have to do Length x Width x Height which is why you do _ x _ x _.

Answer:

405π

Step-by-step explanation:

Use the formula for Volume Of Cylinder (V=πr²h) where "V" represents the volume, "r" represents the radius, and "h" represents the height

The volume and the radius are given. (V=45π, r=3)

1. Solve for height

V=πr²h

45π=π3²h

45π/π=3²h

45=3²h

45=9h

45/9=h

h=5

2. Plug the new radius (3*3=9) into this formula and solve for "V"

V=π9²5

V=π81*5

V=405π

NEW VOLUME AFTER A TRIPLED RADIUS IS 405π

Answer:

c

Step-by-step explanation:

its c bro

Answer:

Step-by-step explanation:

Answer

Given

Area = 576 square feet

dimensions of x feet by x feet



Since both the length and width are the same dimensions, x feet, use the area to calculate the length of the dimension.

×·×=576

[tex]x^{2} = 576\\[/tex]

[tex]\sqrt{x^{2}[/tex] = [tex]\sqrt{576[/tex]

×= 24

Now we have the length of the dimension of the fence, normally, we will be using the four sides to build the fence, but since we will be using the wall of the house as one of the sides, then we will only multiply by 3

               3x24=72

Therefore, the fencing needed is 72 feet.

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

[tex] \tan(\theta) = \frac{perpendicular}{base} \\ [/tex]

we can see we aren't provided with the perpendicular , so let's find it using Pythagoras Theorem !

[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ \dashrightarrow 17 {}^{2} = P {}^{2} + 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 17 {}^{2} - 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 289 - 64 \\ \\ \dashrightarrow \: P { }^{2} = 225 \\ \\ \dashrightarrow \: P = \sqrt{225} \\ \\ \dashrightarrow \: P = 15[/tex]

substituting the value of P in the formula

[tex] \tan(\theta) = \frac{15}{8} \\ [/tex]

therefore , option ( B ) is correct !

hope helpful ~

Answer:

y = - 4

Step-by-step explanation:

[tex]\cfrac{2}{5}\left(10y-5\right)-2y=-10[/tex] (Multiply)

[tex]\cfrac{2\left(10y-5\right)}{5}-2y=-10[/tex]

[tex]\cfrac{2\left(10y-5\right)}{5}\times \:5-2y\times \:5=-10\times \:5[/tex]

[tex]2\left(10y-5\right)-10y=-50[/tex] (Expand)

[tex]10y-10=-50[/tex]

[tex]10y-10+10=-50+10[/tex] ( Add 10)

[tex]10y=-40[/tex] (Simplify)

[tex]\cfrac{10y}{10}=\cfrac{-40}{10}[/tex] (Divide by 10)

[tex]y=-4[/tex]

Answer:

[tex]y=-4[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{2}{5}(10y-5)-2y=-10[/tex]

Expand the brackets:

[tex]\implies \dfrac{2}{5}(10y)-\dfrac{2}{5}(5)-2y=-10[/tex]

[tex]\implies \dfrac{2 \cdot 10}{5}y-\dfrac{2 \cdot 5}{5}-2y=-10[/tex]

[tex]\implies \dfrac{20}{5}y-\dfrac{10}{5}-2y=-10[/tex]

[tex]\implies 4y-2-2y=-10[/tex]

Collect like terms:

[tex]\implies 4y-2y-2=-10[/tex]

Combine like terms:

[tex]\implies 2y-2=-10[/tex]

Add 2 to both sides:

[tex]\implies 2y-2+2=-10+2[/tex]

[tex]\implies 2y=-8[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{-8}{2}[/tex]

[tex]\implies y=-4[/tex]

Answer:

45%

Explanation:

According to the question, we can get:

[tex]N=1+4+18+15+2=4D[/tex]

        [tex]P=\frac{18}{40}[/tex]

            [tex]=0.45[/tex]

            [tex]=45[/tex]%

Therefore, Written as a percent, the experimental probability that the pea pod has 9 peas in it is 45%

Answer:

Hi! The answer is 45%

Step-by-step explanation:

I just took the review and got the answer.

here is proof.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Answer:

1 : 5000

Step-by-step explanation:

Firstly align the unit

Map 5cm represent 250m = 250x100cm = 25000cm

scale = 5 : 25000 = 1 : 5000

The bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.

There is a scientist who determined that the bones from a mastodon had lost 70.3​% of their​ carbon-14.  Thus, the fraction remaining is,

f=1-(70.3/100)=1-0.703

f=1-(70.3/100)=0.297

Now the fraction remaining can be given as,

f=(1/2)ⁿ

Here, n is the half life elapsed. Put the value of fraction remaining.

0.297=(1/2)ⁿ

n=1.75

The radioactive element​ carbon-14 has a​ half-life of total 5750 years. Thus,

Years=1.75*5750

Years=10062.5

Thus, the bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

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Answer:

?

Step-by-step explanation:

Answer:

rt4564564fr5646

Step-by-step explanation:

Answer:

y = kx

step 2 = 2.5

step 3 = 10

Step-by-step explanation:

Just answered on edge, got it correct.

Answer:

Yes, the sequence is geometric.

Step-by-step explanation:

The rule is divide by -3

Multiplying or dividing is a geometric sequence

By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.

Since AB and BC are tangent to the circle, then the triangles OAB and OBC are right angled. We can determine the measure of the angle AOC by using the following inverse trigonometric reason and Pythagorean theorem:

[tex]\theta = 2\cdot \tan^{-1}\left(\frac{\sqrt{10^{2}-4^{2}}}{4} \right)[/tex]

θ ≈ 132.844°

And the measure of the arc ADC is found by the formula for the length of a circle arc:

s = θ · r     (1)

Where:

s = (2π - 132.844π/180) · (4 cm)

s ≈ 15.858 cm

By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.  

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Answer:

I) X+Y

when X=0

0+y=5

Y=5

When Y=0

X+0=5

X=5

(X,y)=(5,5)

(ii) X-Y=3

When X=0

0-Y=3

Y=-3

When Y=0

X-0=3

X=3

(X,Y)=(3,3(

(III) 2x+Y=7

when X=0

0+Y=7

Y=7

when Y=0

2x+0=7

2x=7

X=7/2 or 3.5

(X,Y)=(3.5,7)

(Iv)

3X-2Y=0

when X=0

0-2Y=0

-2Y=0

Y=0

When Y=0

3x-0=0

3X=0

X=0

(X,Y)=(0,0)

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(2)}~~~~ ,~~~~ 12-\cfrac{ (8)^2}{4(2)}\right)\implies \left( -\cfrac{8}{4}~~,~~12-\cfrac{64}{8} \right) \\\\\\ (-2~~,~~12-8)\implies (-2~~,~~4)[/tex]

Answer:

Joesph needs to be 331 feet of flooring to cover all sides except the floor.

Step-by-step explanation:

To answer this question, you need to find the areas of the sides and the roof.

Side (left and right): 12 feet long multipled by 6.5 feet high. 12*6.5=78 ft^2. Multiply this by 2 to get the combined areas of both the left and right side. 156 ft ^2

Side (back and front): 7 feet wide by 6.5 feet high. 7*6.5=45.5 ft^2. Multiply this by two to get the combined areas of the back and the front sides. 91 ft^2

Roof: 7 feet wide multiplied by 12 feet long. 7*12=84 ft^2

84+91+156=331 ft^2

Answer:

331 ft²

Step-by-step explanation:

Area of a rectangle = width × height

Given:

Surface area (minus the floor):

= 2(7 × 6.5)  + 2(12 × 6.5) + (7 × 12)

= 91 + 156 + 84

= 331 ft²

Answer:

(x−10)(x-5)

Step-by-step explanation:

Answer: (x - 10) ( x -5)

Step-by-step explanation:

x2 - 15x + 50
x2 - 5x - 10x + 50
x (x-5) - 5( x - 10) => ( x -5 ) (x-10)

The point that lies on the bisector of angle PQR in the diagram given is: point Y.

An angle bisector is a segment that cuts an angle into two equal parts.

From the image given, point Y lies directly opposite to vertex Q. Point Y divides angle PQR into equal parts.

Therefore, the bisector of angle PQR is: point Y.

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