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Kay [80]
2 years ago
11

Solid A has a volume of 28 in³. The scale factor of A to B is 1:2. What is the volume of Solid B?

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
4 0

Answer: 56in³

Step-by-step explanation:

Let the volume of solid B de denoted as x. Based on the information given in the question, we can solve further by:

1/2 = 28/x

Cross multiply

1 × x = 2 × 28

x = 56

Therefore, the volume of solid is 56in³.

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3 years ago
What are the exact solutions of x2 - 5x - 1 = 0?.
borishaifa [10]
x^2-5x-1=0\\\\a=1;\ b=-5;\ c=-1\\\Delta=b^2-4ac\\\\\Delta=(-5)^2-4\cdot1\cdot(-1)=25+4=29 \ \textgreater \  0\\\\therefore\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ \dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{5-\sqrt{29}}{2\cdot1}=\boxed{\dfrac{5-\sqrt{29}}{2}}\\\\x_2=\dfrac{5+\sqrt{29}}{2\cdot1}=\boxed{\dfrac{5+\sqrt{29}}{2}}
8 0
3 years ago
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Which of these is the statement of the zero product rule?
Kruka [31]
A is the correct answer
5 0
2 years ago
The blades of a windmill turn on an axis that is 40 feet from the ground. The blades are 15 feet long and complete 3 rotations e
astraxan [27]

Answer:

a is the _amplitude_(Length of the blades)_

The vertical shift, k, is the _Mill shaft height_

a = 15\ ft\\\\k = 40\ ft

y = 15sin(\frac{\pi}{10}t) + 40

Step-by-step explanation:

In this problem the amplitude of the sinusoidal function is given by the length of the blades.

a = 15\ ft

The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:

k = 40\ ft

We know that the blades have an angular velocity w = 3 rotations per minute.

One rotation = 2\pi

1 minute = 60 sec.

So:

w = \frac{3(2\pi)}{60}\ rad/s

w = \frac{\pi}{10}\ rad/s

Finally:

a is the _amplitude_(Length of the blades)_

The vertical shift, k, is the _Mill shaft height_

a = 15\ ft\\\\k = 40\ ft

y = 15sin(\frac{\pi}{10}t) + 40

3 0
3 years ago
Read 2 more answers
Whats the fraction 18/24 reduced to its lowest items?
asambeis [7]
Hello!

\sf Answer:

The fraction 18/24, reduced to its lowest terms, is: \boxed{3/4}
_____________________________

Divide both the numerator and the denominator by the GCD of 18 and 24, which is 6:

18 ÷ 6 = 3

24 ÷ 6 = 4

It's simplest form would be 3/4. This cannot be reduced further.
3 0
3 years ago
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