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Kazeer [188]
3 years ago
5

A telephone pole is 60 feet tall. It casts a shadow that's is 24 feet long. A tree that's is next to the flag pole casts a shawd

ow that's is 4ft tall. How tall is the tree
Mathematics
1 answer:
Margaret [11]3 years ago
4 0
Ok so ratios
height:shadow =60:24
fractionify
60/24=5/2

5:2 is ratio
if shadow of tree=4 then what is height
5:2=x:4
multipliby 2
10:4=x:4
x=10
10 feet
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Answer:

$5.25

Step-by-step explanation:

Take $150.00 times 3.5% to get $5.25

150(.035) = 5.25

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3 years ago
Use the linear combination method to solve.<br><br> {x+2y=1 x−2y=5
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Answer:

Step-by-step explanation:

1) x+27=1

 -27  -27

x = -26

2) x-2y=5 (solving for x)

     +2y  +2y

x = 5 + 2y

2) x-2y=5 (solving for y)

  -x       -x

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2y/2    5/2   -x/2

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   _____

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The equation -2y = 5x + 8 represents a line.
sergiy2304 [10]

Answer:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Step-by-step explanation:

Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.

-2y = 5x + 8

Divide both sides by -2

y = 5x/-2 + 8/2

y = -⁵/2x + 4

The slope of the line of this equation is -⁵/2.

Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.

Therefore:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

6 0
3 years ago
Anusha needs to find a rectangular container large enough to hold a volume of 130 in.. Which container should sh
Alinara [238K]

Answer:

"a container with the dimensions 3 by 5 by 10 inches"

Step-by-step explanation:

To find volume of rectangular box, we multiply the length, width, and height. Or if given in 3 dimensions form, we multiply all 3.

Lets find volume of each of the answer choices:

a container with the dimensions 2 by 5 by 10 inches  = 2 * 5 * 10 = 100

a container with the dimensions 3 by 4 by 10 inches  = 3 * 4 * 10 = 120

a container with the dimensions 3 by 5 by 10 inches  = 3 * 5 * 10 = 150

a container with the dimensions 4 by 2 by 10 inches = 4 * 2 * 10 = 80

We want a container LARGE ENOUGH to contain a volume of 130 cubic inches. Which of the containers has a volume GREATER than 130?

Yes, only the 3rd option. It is 150 cubic inches in volume.

So, this is the answer:

a container with the dimensions 3 by 5 by 10 inches

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