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3 years ago

20 POINTS FOR ANSWER!!!

1 answer:

3 0

P varies directly with Q and inversely with R, on the contrary, P varies inversely with R, this means P and R are indirectly proportional. In simple terms it means whatever you do to P, you do the opposite to R. Or P=K*Q/R

18=k*5/2
18=5k/2 
5k=36 
k=36/5

P=K*Q/R
p=(36/5)(20/10) 
p=72/5

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Express ( x + 4 )∧2 as a trinomial in standard form.

mamaluj [8]

Answer: x²+8x+16

Step-by-step explanation:

(x+4)^2=(x+4)(x+4)

Now use distributive property to expand (x+4)(x+4):

(x+4)(x+4)=x²+4x+4x+4(4)

x²+4x+4x+4(4)=x²+8x+16

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3 years ago

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What is the area of the partial circle with a radius of 8 cm?

lina2011 [118]

notice, the circle is missing 1/4, so the area of it is just 3/4 of the whole area of the circle.

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies A=\pi 8^2\implies A=64\pi \\\\\\ \stackrel{whole}{\cfrac{4}{4}}-\stackrel{one~quarter}{\cfrac{1}{4}}=\cfrac{3}{4}~\hfill \cfrac{3}{4}\cdot 64\pi \implies 48\pi \implies \stackrel{\pi =3.14}{150.72} \\\\\\ ~\hspace{34em}$

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3 years ago

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What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tent

Verdich [7]

Answer:

766.3 square inches

Step-by-step explanation:

The volume of pyramid is given by

volume = 1/3(area of base) * height of pyramid

Given shape of base is square and

Perimeter of that square is 44inches

We know that perimeter for square is given by 4* length of side

Thus,

44 inches = 4* length of side

 Length of side = 44/4 = 11 inches

_____________________________________________

Area of square is given by side*side.

Thus, area of square base of pyramid is = 11*11 inches square = 121 inches square

Now that we have area of base and height of pyramid .

Substituting these value in formula for volume of pyramid we have

volume = 1/3(area of base) * height of pyramid

 volume = 1/3*(121) * 19 = 2,299

 volume = 766.33

Volume of square pyramid rounded to nearest tenth is 766.3 square inches

4 0

3 years ago

what is the x-intercept of the line with the equation 4x 2y = 12? a. (0, 6) b. (0, 3) c. (6, 0) d. (3, 0)

Georgia [21]

If you would like to find the x-intercept of the line with the equation 4x + 2y = 12, you can do this using the following steps:

4x + 2y = 12
y = 0
4x + 2 * 0 = 12
4x = 12
x = 12/4 = 3

(x, y) = (3, 0)

The correct result would be d. (3, 0).

7 0

3 years ago