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o-na [289]
3 years ago
13

Which expression represents the volume, in cubic

Mathematics
1 answer:
muminat3 years ago
3 0

Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

V_1=length\times breadth\times height

V_1=(8)(6)(4)

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

V_2=\dfrac{1}{3}\times length\times breadth\times height

V_2=(\dfrac{1}{3})(8)(6)(6)

The volume of composite figure is

V=V_1+V_2

V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)

It can be written as

V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)

Therefore, the correct option is A.

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If the coefficient of determination for a data set is 0.75 and the SSE for the data set is 13, what is the SST for the data set?
nadya68 [22]
Answer : SSE = 9
r^2 = 0.75
r^2 = 1 - (SSE/SST)
SSE/SST = 1 - r^2 = 1 - 0.75 = 0.25
<span>SST = 9/0.25 = 36</span>
8 0
3 years ago
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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
Can someone please help me out and explain
bonufazy [111]

Answer:

option 2

Step-by-step explanation:

please so it

3

4

4

3

5

4

4 0
2 years ago
Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5
Vedmedyk [2.9K]

9514 1404 393

Answer:

 2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

  x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}

_____

Your calculator can help you answer this:

  1/5 = 0.2

  1/3 = 0.333.... (repeating) . . . . the number you're looking for

  3/10 = 0.3

  3/5 = 0.6

7 0
2 years ago
If 31/2 pounds of bananas cost 1.96 , how much would one pound cost ?
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They would cost $3.25
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3 years ago
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