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Vladimir [108]
2 years ago
12

Figure A Figure B 3 ft 10 ft 2 ft 4 ft V= 120 cu ft Find the volume of Figure B.

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
7 0

The volume of the small figure is v = 120/8 cubic ft or v = 1.5 cubic ft if the volume of the larger cube is 120.

<h3>What is a scale factor?</h3>

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

As we have given the volume of the larger cube is 120

Let v is the volume of the small shape.

\rm \dfrac{120}{v} =\left( \dfrac{4}{2}  \right)^3

After simplifying:

v = 120/8 cubic ft

or

v = 1.5 cubic ft

Thus, the volume of the small figure is v = 120/8 cubic ft or v = 1.5 cubic ft if the volume of the larger cube is 120.

Learn more about the scale factor here:

brainly.com/question/22312172

#SPJ1

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Is it, A, B, C, Or D?
trasher [3.6K]

Answer:

C

Step-by-step explanation:

6(2m+5n)

12m+30n

Jacob had multiplied 6 to 2m right which is 12m but multiplied 6 and 5n wrong as he thought it was 11n yet it is 30n.

4 0
3 years ago
If f(x)=sinx 2x 1 and g is the inverse function of f
Bingel [31]

The value of the derivative of the function g(x) at x = 1 will be 1/3. Then the correct option is A.

<h3>What is an inverse function?</h3>

A function that may convert into another function is known as an inverse function or anti-function.

If the function is f(x) = sinx + 2x + 1.

Then the derivative of an inverse function g(x) of a function f(x) at a given value (a) will be

\rm g'(a) = \dfrac{1}{f'(g(a))}

The derivative of f(x) will be

f'(x) = cos x + 2

Then the given value of a will be

a = 1

g(x) = f⁻¹(x)

put x = 0, then we have

f(0) = sin 0 + 2(0) + 1

f(0) = 1

Put x = 1, in the function f⁻¹(x). Then we have

f⁻¹(1) = 0

and

g(1) = 0

Then put a = 1, then we have

\rm g'(a) = \dfrac{1}{f'(g(a))}\\\\g'(1) = \dfrac{1}{f'(g(1))}\\\\g'(1) = \dfrac{1}{f'(0)}\\\\g'(1) = \dfrac{1}{\cos 0 + 2}\\\\g'(1) = \dfrac{1}{1+2}= \dfrac{1}{3}

More about the inverse function link is given below.

brainly.com/question/2541698

#SPJ4

8 0
2 years ago
Another question I'm stuck on
qwelly [4]
M=(y2-y1)/(x2-x1) m=(-4-4)/(3-1) m=-8/2 m=-4 so the answer should be first one
7 0
3 years ago
A clock has a diameter of 16 inches. How far does the hour hand travel during 5 hours? Use 3.14 for pi.
Karo-lina-s [1.5K]

Therefore the hour hand travels 40.192in in 5 hours

<h3>
How to calculate the area of a sector</h3>

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;

β = 360/5

β = 72 degrees

Given the following parameters

r = 16/2

r = 8in

Substitute into the formula

A = 8²(72π)/360
A = 40.192in

Therefore the hour hand travels 40.192in in 5 hours

Learn more on area of a sector here: brainly.com/question/22761976

#SPJ1

8 0
1 year ago
Can someone please help with this question please
nlexa [21]

Answer:

Go to brainfuse.com

Step-by-step explanation:

They will give you one on one tutoring for any subject (they won't see your face and it's free!)

3 0
3 years ago
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