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3 years ago

A cone with radius 6ft and a height of 12ft

1 answer:

3 0

If you are looking for the volume, plug the values into the equation for the volume of a cone which is 1/3(pie)r^2h. So where r is the radius and h is the height, your answer would be 452.389 cubic feet

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3. Which expression is equivalent to log532?

saul85 [17]

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

log[PQ] = Q.logP

Step-by-step explanation:

8 0

3 years ago

Degree of inverse tangent of 0.83

exis [7]

Answer:

39.69 degrees

Step-by-step explanation:

Let

x ----> the measure of the angle

we have that

$tan(X)=0.83$

using a calculator

$m\angle X=tan^{-1}(0.83)=39.69^o$

4 0

3 years ago

Calculate the total surface area of a pipe with inner surface area 1508.5 square cm, outer surface area 2514.2 square cm, and in

algol [13]

Answer:

The total surface area of the pipe is 4123.31 cm²

Step-by-step explanation:

Total surface area (TSA) of a pipe is calculated as;

Outer area of the pipe + Inner area of the pipe + cross section of the two ends

TSA = 2πRL + 2πrL + 2π(R² - r²)

TSA = 2π(RL + rL + R² - r²)

where;

R is the outer radius

r is the inner radius

L is length of the pipe

Determine the length of the pipe

Outer surface area of the pipe is calculated as;

outer surface of the pipe = 2πRL

2514.2 = 2πRL

2514.2 = (2π x 5) L

2514.2 = 31.42 L

L = 2514.2 / 31.42

L = 80.02 cm

Finally, determine the total surface area of the pipe

TSA = 2π(RL + rL + R² - r²)

TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)

TSA = 2π(400.1 + 240.06 + 16)

TSA = 2π(656.16)

TSA = 4123.31 cm²

Therefore, the total surface area of the pipe is 4123.31 cm²

8 0

4 years ago

What is the area of this figure? ___ units^2

enot [183]

Answer:

$42\ units^{2}$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of two triangles

Find the area of rectangle

Observing the graph

The area of rectangle is equal to

$A=bh=(2+5)(2+2)=28\ units^{2}$

Find the area of the top triangle

$A=\frac{1}{2}bh=\frac{1}{2}(2+5)(4-2)=7\ units^{2}$

Find the area of the bottom triangle

$A=\frac{1}{2}bh=\frac{1}{2}(2+5)(-2+4)=7\ units^{2}$

the area of the figure is equal to

$A=28\ units^{2}+7\ units^{2}+7\ units^{2}=42\ units^{2}$

5 0

3 years ago

The graph shows the total fare, y, for a taxi ride with respect to the miles traveled, x. what is the slope and what does it rep

e-lub [12.9K]

The slope of the line represents the direction and steepness of the line. The slope has a unit of y per x. in the given graph the slope represents total fare per miles traveled for a taxi ride. Given the choices the answer is 3 and it represents the cost per mile traveled.

4 0

3 years ago

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