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2 years ago

C= m over 3 π d to the second power , for m

1 answer:

6 0

Solve for m:C = 1/3 π d^2 m
C = 1/3 d^2 m π is equivalent to 1/3 d^2 m π = C:1/3 π d^2 m = C
Divide both sides by (π d^2)/3:Answer: m = (3 C)/(π d^2)

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What is the quotient of 2^4/2^-4

Tamiku [17]

Answer:

2⁸

When dividing a number by another with the same base, you can simply subtract the denominator's exponent from the numerator's. That gives you

2⁴ ⁻ ⁽⁻⁴⁾ = 2⁽⁴ ⁺ ⁴⁾ = 2⁸

6 0

2 years ago

10 POINTS<br> Find the surface area of the regular pyramid. Round to the nearest tenth if necessary.

NNADVOKAT [17]

Answer:

$SA=234.8\ yd^2$

Step-by-step explanation:

we know that

The surface area of the regular pyramid is equal to the area of the triangular base plus the area of its three triangular lateral faces

step 1

Find the area of the triangular base

we know that

The triangular base is an equilateral triangle

The area applying the law of sines is equal to

$A=\frac{1}{2}(14^2)sin(60^o)$

$A=\frac{1}{2}(196)\frac{\sqrt{3}}{2}$

$A=49\sqrt{3}=84.87\ yd^2$

step 2

Find the area of its three triangular lateral faces

$A=3[\frac{1}{2}bh]$

we have

$b=14\ yd$

Find the height of triangles

Applying the Pythagorean Theorem

$10^2=(14/2)^2+h^2$

solve for h

$100=49+h^2$

$h^2=100-49$

$h=\sqrt{51}\ yd$

substitute

$A=3[\frac{1}{2}(14)\sqrt{51}]$

$A=149.97\ yd^2$

step 3

Find the surface area

Adds the areas

$SA=84.87+149.97=234.84\ yd^2$

Round to the nearest tenth

$SA=234.8\ yd^2$

5 0

3 years ago

Read 2 more answers

If g(x) =x-8, find g(19)<br> g(19) = ?

Vaselesa [24]

Answer:

g(19) = 11

Step-by-step explanation:

g(x) = x-8

Let x=19

g(19) = 19-8

g(19) = 11

3 0

3 years ago

Write the equation for g(x).

MrRissso [65]

Answer:

g(x) = $5x^{2}$

Step-by-step explanation:

This problem may seem tricky at first, but after you understand the basic concepts about vertical stretches and vertical shrinks, this problem will become much simpler. Additionally, if you use the online tool: DESMOS, you will be able visualize things better.

First, you may notice the graph is more narrow than the original "f(x)" graph. This means that the g(x) graph is a vertical shrink. A vertical shrink can be achieved by adding a whole-number as a coefficient to the " $x^{2} \\$ " formula. Adding a coefficient of "5" would result in coordinates like (1,5), just like adding a coefficient of "2" for example would result in coordinates like (1,2).

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3 years ago

39,975 + 6.5% tax rate every month

Mumz [18]

1014.065 hope this helps

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3 years ago