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schepotkina [342]
3 years ago
14

Estimate 635/39 by first rounding each number so that each only has one 1 non-zero digit

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0
635/39 = 600/40 = 15
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What is the height of a pyramid (with a square base) whose side length is 12 cm and its slant
Bingel [31]

We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.

We will use slant height of a pyramid formula to solve our given problem.

s=\sqrt{h^2+\frac{1}{4}a^2},where,

s = Slant height,

h = Height,

a = Each side of square base.

Upon substituting our given values in above formula, we will get:

10=\sqrt{h^2+\frac{1}{4}\cdot 12^2}

10=\sqrt{h^2+\frac{1}{4}\cdot 144}

10=\sqrt{h^2+36}

Switch sides:

\sqrt{h^2+36}=10

Let us square both sides:

(\sqrt{h^2+36})^2=10^2

h^2+36=100

h^2+36-36=100-36

h^2=64

Now we will take positive square root of both sides.

\sqrt{h^2}=\sqrt{64}

h=8

Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.

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3 years ago
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tatuchka [14]

Answer:

Step-by-step explanation:

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3 years ago
Factor 42x+28y using the GCF the factored expression is
Alex17521 [72]
42x + 28y......the GCF is 14...so factor out 14

14(3x + 2y) <==
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4 years ago
Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function tha
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Divide the numbers 45 and 15 and u should get ur answer
6 0
4 years ago
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Solve for x and Y using the angles shown, please helppp
inna [77]

Answer:

<h2>x = 6, y = 24</h2>

Step-by-step explanation:

We have the vertical angles and supplementary angles.

Vertical angles are congruent. Therefore we have the equation:

(1)\qquad14x+4=4y-8

Supplementary angles add up to 180°. Therefore we have the equation:

(2)\qquad(16x-4)+(14x+4)=180

Solve (2):

(16x-4)+(14x+4)=180\qquad\text{combine like terms}\\(16x+14x)+(-4+4)=180\\30x=180\qquad\text{divide both sides by 30}\\x=6

Put the value of x to (1) and sole:

4y-8=14(6)+4\\4y-8=84+4\\4y-8=88\qquad\text{add 8 to both sides}\\4y=96\qquad\text{divide both sides by 4}\\y=24

7 0
3 years ago
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