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Kay [80]
3 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]3 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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F(x) = x2 + 3 <br><br> f(5) = 13<br><br> True<br> False
True [87]

Answer:

f(5) does not equal 13.

Step-by-step explanation:

When we are given a function f(x), we can substitute any value for x as long as we change that value in the equation as well.

Therefore, if we are given f(5), we changed the x. Therefore, we also change the x in the rest of the equation. This would leave us with f(5) = 5² + 3. Now, we can just simplify.

f(5) = 5² + 3

f(5) = 25 + 3

f(5) = 28

Because we are asked to find if f(5) is equal to 13, we can see that 28 is definitely not equal to 13 and determine that this statement is false.

3 0
3 years ago
Cos(0)=2/2 ,and &lt;0&lt;2pi, evaluate sin(0) and tan(0). sin (0)=? tan(0)=?<br> PLEASE HELP!!!!
irakobra [83]

Answer:

Step-by-step explanation:

The angle is between 3pi/2 and 2pi so it is in the fourth quadrant where both sin and tan are negative.

Given cos(θ) = sqrt(2)/2

cos^2(θ) + sin^2(θ) = 1

sine^2(θ) = 1 - 2/2^2 = 1 - 1/2 = 1/2

sin(θ) = +/1 sqrt(2)/2

As we know sin(θ) is negative,

sin(θ) =  -sqrt(2)/2; the second answer

tan(θ) = sin(θ)/cos(θ) = -1

3 0
3 years ago
Read 2 more answers
Julie has $80,000 to invest. She invests part at 5%, one fourth this amount at 6%, and the balance 7%. Her total annual income f
Tom [10]

Answer:

Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Step-by-step explanation:

Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:

80,000 / 4 = 20,000

20,000 x 0.06 = 1,200

4,700 - 1,200 = 3,500

60,000 x 0.07 + 0 x 0.05 = 4,200

50,000 x 0.07 + 10,000 x 0.05 = 4,000

40,000 x 0.07 + 20,000 x 0.05 = 3,800

30,000 x 0.07 + 20,000 x 0.05 = 3,600

25,000 x 0.07 + 35,000 x 0.05 = 3,500

Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

3 0
3 years ago
6) Which is an equation? A) 3x + 5 B) x 3 + 4 C) x = 2(3) + 5 D) 1 2 + 2 3
Tanya [424]

Answer: Is (A) hope this helps!!

8 0
4 years ago
Read 2 more answers
Instructions: Find the measure of the indicated angle to the nearest
bija089 [108]

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and the adjacent side. Therefore, we should use the tangent function.

tan(x) = 19 / 35

x = tan^-1(19/35)

x = 28 degrees

Hope this helps!

4 0
3 years ago
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