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USPshnik [31]
3 years ago
11

Find the volume of the composite shape: a cube with sides 4 ft placed on top of a rectangular prism with length 16 ft, width 10

ft, and height 7 ft.
Use the equation editor to enter the answer as a whole number.

V = ___________ ft³
Mathematics
1 answer:
Sidana [21]3 years ago
7 0

Answer:

V = 1184ft³

Step-by-step explanation:

Volume for Cube

we multiple l*w*h

4x4x4 = 64ft*3 area

Volume for rectangle

we multiple length of the rectangle side first with h

Surface area rectangle = 16 x 7 = 112ft ^2 (=70+42)

Then we multiply it with width 112 x 10 = 1120ft^3

Then we add together the cube V total + Rectangle V total.

64 + 1120= 1184ft^3

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The lines (m-2)x+y=2 and mx+2y=k intersect at (2,8). Find the values of m and k
Lerok [7]

Step-by-step explanation:

(m - 2)x + y = 2

y = -(m - 2)x + 2

8 = -(m - 2)(2) + 2

6 = -(m - 2)(2)

3 = -(m - 2)

-3 = m - 2

-1 = m

mx + 2y = k

2y = -mx + k

y =  -  \frac{1}{2} mx +  \frac{k}{2}  \\ y =  \frac{1}{2} x +  \frac{k}{2}  \\ 8 =  \frac{1}{2} (2) +  \frac{k}{2}  \\ 7 =  \frac{k}{2}  \\ 14 = k

4 0
3 years ago
How is 9.746 x 1013 written in standard form?
sammy [17]

Answer:

9872.698 is 9.746 x 1013 in standard form

4 0
4 years ago
Hey! Can you plz help me? I promise to give brainliest
aleksandr82 [10.1K]

Answer: answer D

Step-by-step explanation:

i am pretty sure it is D. not 100%, but like 90%. they are both on the outside of the lines, so that is why i know they are exterior. and, they are on opposite sides, so that makes them alternate.

8 0
3 years ago
Help help please please
svlad2 [7]

Answer:

\sqrt{97}

Step-by-step explanation:

becauseby pytagorean theorem we get

{4}^{2}  +  {9 = c}^{2}

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4 0
3 years ago
7 kids on the basketball team return sick from a weekend playing games at Lakenheath High school with a virus. The aggressive vi
Lilit [14]

Answer:

It would take 6 days for 500 students to be affected.

Step-by-step explanation:

Given that:

1. Seven kids returned with the virus.

2. The aggressive virus spreads at 130% each day.

We want to find how many days until 500 students are infected by the virus.

First day:

7 students have the virus, 130% of 7 student will contract the virus again.

130% of 7 = (130/100) × 7

= 1.3 × 7 = 9.1 ≈ 9

9 new students are affected

New total affected = 7 + 9 = 16 students.

Day 2:

Affected = 1.3 × 16 = 20.8 ≈ 20

New total affected = 20 + 16 = 36

Day3

Affected = 1.3 × 36 = 46.8 ≈ 46

New total affected = 36 + 46 = 82

Day4

Affected = 1.3 × 82 = 106.6 ≈ 106

New total affected = 106 + 82 = 188

Day5

Affected = 1.3 × 188 = 244.4 ≈ 244

New total affected = 244 + 188 = 432

Day6

Affected = 1.3 × 432 = 561.6 ≈ 561

New total affected = 561 + 432 = 993

Therefore, it would take 6 days for 500 students to be affected.

8 0
3 years ago
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