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3 years ago

5p+9c=p solve for c I am confused on how to do it

1 answer:

8 0

Since 5p5⁢p does not contain the variable to solve for, move it to the right side of the equation by subtracting 5p5⁢p from both sides.9c=−5p+p9⁢c=-5⁢p+pAdd −5p-5⁢p and pp to get −4p-4⁢p.9c=−4p9⁢c=-4⁢pDivide each term by 99 and simplify.

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The two guy wires supporting a flagpole are each anchored 7m from the flagpole and form an angle of 52 degrees with the ground.

Ulleksa [173]

The answer to ur question is 69m

3 0

3 years ago

A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the square surfaces are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the square base is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

#SPJ1

4 0

2 years ago

What are the units for the variable in the following scenario?

krek1111 [17]

Answer:

Her grocery bill was $4.62.

Step-by-step explanation:

There is some mistake in question so the correct question is:

Sherry bought 6 apples at 43¢ per apple. She then bought 4 oranges at 51¢ per orange. How much was her grocery bill?

Now, to find the grocery bill.

As the units are given:

43¢ per apple and

51¢ per orange.

$1 = 100¢.

So, the cost of 6 apples = $0.43\times 6=2.58$

Thus, the cost of 6 apples = $2.58

And the cost of 4 oranges = $0.51\times 4=2.04$

Thus the cost of 4 oranges = $2.04

Now, to get the total grocery bill we add the cost of apples and oranges:

$\$2.58+\$2.04$

$=\$4.62$

Therefore, her grocery bill was $4.62.

7 0

3 years ago

The sum of 15 and the product of five and V

soldi70 [24.7K]

put it into an equation..

15+5v

sum is addition and product is multiplication

4 0

3 years ago

The perimeter of the aqua rectangle is 72 feet. What is the measure of the rectangle’s longest side?

dimulka [17.4K]

Answer:

Step-by-step explanation:

72 = x + 3x - 4

72 = 4x - 4

72 + 4 = 4x - 4 + 4

76 = 4x

76/4 = 4x/4

x = 19

3(19) - 4 = 53

Hope this helps!

8 0

2 years ago