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boyakko [2]
3 years ago
7

Sanji has a square room with a perimeter of 42.5 feet. If she wants to hang a curtain along one full side of the room, how long

does the curtain need to be?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0

Answer:

The length of the curtain is 10.625 feet

Step-by-step explanation:

The length of the curtain to cover one side of the room depends on the shape of the room

Given a room shape of a square, we have;

Perimeter = 4 × Side length of the room

Length of the curtain = Side length of the room

Therefore;

Perimeter = 4 × Length of the curtain

42.5 feet = 4 × Length of the curtain

Length of the curtain = (42.5 feet)/4 = 10.625 feet

The length of the curtain = 10.625 feet.

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If <br> B is the midpoint of AC, AB=x+6 and AC=5x-6, then what is BC?
nikklg [1K]

If B is the midpoint of AC, then AB=BC. It is also BC=AC-AB

AB = x + 6

AC = 5x - 6

BC = (5x - 6) - (x + 6)

We can kinda use distributive property, like this:

BC = 5x - 6 -x - 6

Combine like terms:

BC = 4x - 12

To verify, we can add AB and BC to see if their sum is equal to AC.

(x + 6) + (4x - 12) = 5x - 6

If we are correct, this equation will be true.

x + 6 + 4x - 12 = 5x - 6

Combine like terms:

6 + 5x - 12 = 5x - 6

5x - 6 = 5x - 6

It's correct!

BC = 4x - 12. Final Answer.

Let me know if you have any questions about this! :)

7 0
2 years ago
What is -5.8+(-2.5)
Scilla [17]

-5.8 + (-2.5) = -8.3

since both the number are negative you simply add the numbers and use the negative sign.

5 0
3 years ago
Joanne has a cylindrical, above ground pool. the depth (height) of the pool is 1/2 of its radius, and the volume is 1570 cubic f
diamong [38]

Answer:

314 ft²

Step-by-step explanation:

Data provided in the question:

Depth (height) of the pool = \frac{1}{2} of its radius

let the radius be 'r' ft

thus,

Depth (height) of the pool, h = \frac{r}{2} ft

Volume of the pool = 1570 ft³

also,

Volume of cylinder = πr²h

thus,

1570 ft³ = πr²h

or

1570 ft³ = \pi r^2(\frac{r}{2})

or

3140 = 3.14 × r³                     [ π = 3.14 ]

or

r³ = 1000 ft³

or

r = 10 ft

Thus,

Area of the bottom surface = πr²

= 3.14 × 10²

= 314 ft²

5 0
3 years ago
Given the function h(x), determine the functions which correctly decompose h(x) into component functions f(x) and g(x) so that h
nataly862011 [7]

\text{Hi there! :)}

\large\boxed{g(x) = 7x + 2\text{ , } f(x) = \sqrt{x}  - 10}

\text{h(x) = f(g(x)), so determine what g(x) was substituted into f(x):}\\\\\text{Given the equation } h(x) = \sqrt{7x +2}- 10:\\\\\text{In the part of the equation with a variable, we see that "7x + 2" is in a square root:}

\text{Therefore, we can say that g(x) = 7x + 2:}\\\\\text{If h(x) = f(7x + 2), then f(x) must be:}\\\\f(x) = \sqrt{x} - 10

\text{The respective functions would be:}\\\\g(x) = 7x + 2\\\\f(x) = \sqrt{x}  - 10

7 0
2 years ago
elliot rides his bike at an average speed of 14 miles per hours. how many miles will he ride in 2 1/2 hours
natita [175]
14:1
?:2 1/2

14:1
x     x
2     2
1/2   1/2
35 : 2/12          35 miles Put me as BRAINLIEST!!!!
5 0
3 years ago
Read 2 more answers
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