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Feliz [49]
3 years ago
6

Joann wants to hang a wallpaper border around the top of her living room walls. The room is 13 ft. by 15 ft. How much border mus

t she purchase?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0
56ft of paper. You are looking for the perimeter of the room so 13*2+15*2=26+30=56 feet
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A flagpole casts a shadow 16 feet long.
Triss [41]

Step-by-step explanation:

Since Shanika is standing near the pole, we can safely assume that the triangle formed by Shanika and her shadow is a smaller version of the triangle formed by the pole and its shadow.

By similar triangles:

\frac{x \: of \: pole}{y \: of \: pole}  =  \frac{x \: of \: shanika}{y \: of \: shanika}  \\  \frac{16}{ height \: of \: pole}  =  \frac{4}{5}  \\ 16(5) = 4 \times height \: of \: pole \\  height \: of \: pole =  \frac{80}{4}  \\  = 20

The height of the pole is 20ft.

7 0
3 years ago
F(x)=x^2-7 and h(x)=7x-5, then f(h(2))= ?
ziro4ka [17]
<h3>Answer:    74</h3>

==================================================

Work Shown:

h(x) = 7x-5

h(2) = 7(2)-5

h(2) = 14-5

h(2) = 9

f(h(2)) = f(9)

f(x) = x^2-7

f(9) = 9^2-7

f(9) = 81-7

f(9) = 74

f(h(2)) = 74

-----------

Here's a slightly alternative approach:

f(x) = x^2 - 7

f(h(x)) = ( h(x) )^2 - 7

f(h(x)) = ( 7x-5 )^2 - 7

f(h(2)) = ( 7*2-5 )^2 - 7

f(h(2)) = ( 14-5 )^2 - 7

f(h(2)) = ( 9 )^2 - 7

f(h(2)) = 81 - 7

f(h(2)) = 74

7 0
3 years ago
Solve for y 6x-8y&gt;=-24
Amiraneli [1.4K]

6x-8y\geq-24\qquad\text{subtract 6x from both sides}\\\\-8y\geq-6x-24\qquad\text{change the signs}\\\\8y\geq6x+24\qquad\text{divide both sides by 8}\\\\y\geq\dfrac{6}{8}x+3\\\\\boxed{y\geq\dfrac{3}{4}x+3}

3 0
3 years ago
Subtract ​​using the number line.
Lesechka [4]

Answer:

-23

Step-by-step explanation:

-2/3 = -26/39

-1/13= -3/39

-26/39- (-3/39) = -23

4 0
3 years ago
as a parking security officer you must record the license plate of every car that enters the parking garage during your 9 hour s
Novay_Z [31]
I think it will be 23 because you will divide 208 by 9 and you will get
23 r1

6 0
3 years ago
Read 2 more answers
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