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marin [14]
3 years ago
9

What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit.

Mathematics
2 answers:
Alex Ar [27]3 years ago
7 0

Answer:

45.4 units3

Step-by-step explanation:

lakkis [162]3 years ago
5 0
Welp, here we go. First we want to calculate the volume of the rectangular prism and subtract it from the triangular prism.

<u /><u>Volume of Rectangular Prism:
Let V1 be the volume of the rectangular prism.

</u>V1 = base * height * length.

The base and the height are both 1.7, but the length is the same length of the triangular prism, which is 4. Thus:

V1 = 1.7 X 1.7 X 4
V1 = 11.56 cubic units

<u>Volume of Triangular Prism:
Let V2 be the volume of the triangular prism:

</u>V2 = (base X height X length) / 2
V2 = (5 X 5.7 X 4)/2
V2 = 57 cubic units.

Now we find the total volume. Let Vt be the total volume. The total volume is the shaded minus the unshaded. Thus:

Vt = V2 - V1
Vt = 57 cubic units - 11.56 cubic units
Vt = 45. 44 cubic units

Therefore the volume of the shaded region is 45.44 cubic units.
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The recommended angle for a firefighting ladder is 75°. When a 110-foot ladder
Licemer1 [7]

Answer:106.38 feet

Step-by-step explanation:

This can be solved by using pythagoras theorem

 

c=110 feet

b=28 feet

a=?

a=sqrt(110^2-28^2)

=sqrt(12100-784)

=sqrt(11316)

=106.3766 feet

=106.38

3 0
3 years ago
Challenge Yossi used to have a square garage with 246 ft of floor space. recently built an addition to it. The garage is still a
irina [24]

Considering the perimeter of a square, it is found that:

  • The length of one side of the garage​ originally was of 61.5 ft.
  • The length of one side of the garage​ now is of 92.25 ft.
  • The percent increase in the length of one​ side was of 50%.

<h3>What is the perimeter of a square?</h3>

The perimeter of a square of side length s is given by four times the length, that is:

P = 4s.

Before the change, the perimeter was of 246 ft, hence:

4s = 246

s = 246/4

s = 61.5.

The length of one side of the garage​ originally was of 61.5 ft.

After that, the perimeter increased by 50%, hence:

P = 246 x 1.5 = 369.

4s = 369

s = 369/4

s = 92.25.

The length of one side of the garage​ now is of 92.25 ft.

The percent increase is the increase divided by the initial value, hence:

(92.25 - 61.5)/61.5 = 50%.

The percent increase in the length of one​ side was of 50%.

More can be learned about the perimeter of a square at brainly.com/question/10489198
#SPJ1

4 0
2 years ago
the weight of an elephant is 10 to the 3rd times the weight of a cat if the elephant weighs 14000 pounds how much does the cat w
Andreyy89
Wouldn't you just divide 14000 by 10^3
6 0
3 years ago
Can someone help me?
Roman55 [17]

Answer:

The upper quartile is 6.

Step-by-step explanation:

FIrst, I found the median of the data, which is 4. Then, I determined the median of the upper half of the data, which is 6. The median of the upper half of the data is known as the upper quartile.

7 0
3 years ago
Write numerals for each of the italicized number word names found in these examples. Earth’s moon is (a) two million, one hundre
Bad White [126]
C Is the best Answer for your question
6 0
3 years ago
Read 2 more answers
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