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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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What are the values of x and y in PQRS? What are PR and SQ?
mamaluj [8]

Step-by-step explanation:

sol;

x+1=y...(1)

3y-7=2x....(2)

or, 3(x+1)-72x [from (1)]

or, 3x+3-7=2x

or, 3x-2x=7-3

     x=4

now,

putting the value of x in (1)

y=x+1

 =4+1

 =5

PR and SQ are the diagonal of PQRS.

4 0
3 years ago
Pencils come in packages of 20. Crayons come in
Alex

Answer:

3 packages of pencils and 4 packages of crayons

4 0
3 years ago
Read 2 more answers
mike drove to a frineds house at the rage of 40 mph. he returned hoke by the dsne route at 45 mph the driving time for the round
wolverine [178]

Let the distance be x miles

Time = Distance / speed

Time taken by Mike to go to his friend's house = x / 40 hours

Time taken by him to return = x / 45 hours

Total time = x / 40 + x / 45 = 4 hours

= 9x + 8x = 1440 miles

17x = 1440

= x = 1440 ÷ 7

= x = 84.706

Time taken to return home = 84.706 /45= 1.882 hours .

Therefore , Mike took 1.882 hours to reach home .

8 0
3 years ago
Which piecewise function represents the graph?
Anon25 [30]

Answer:

D

Step-by-step explanation:

If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x <u>></u> 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values.

Hope this helps! :)

8 0
2 years ago
Jamal hiked on two trails. The first trail was 7 1/3 miles long, and the second trail was 1 9/11 times as long as the first trai
algol [13]

9514 1404 393

Answer:

  20 2/3 miles

Step-by-step explanation:

Altogether Jamal hiked 1 + 1 9/11 times the length of the first trail:

  (2 9/11)(7 1/3) = (31/11)(22/3) = 62/3 = 20 2/3

Jamal hiked 20 2/3 miles.

7 0
3 years ago
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