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inn [45]
1 year ago
9

Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us

e the drop-down menus to explain how to determine the volume of the paperweight. Needdddd major hellllpppp pleaseeee!!!!! 40 points!!!

Mathematics
1 answer:
Eva8 [605]1 year ago
3 0

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

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The universal set is the set of rational numbers. S is the set of integers. Which represents Sc?The universal set is the set of
Y_Kistochka [10]

Answer:

The set of numbers of the form \frac{p}{q} , q≠0 and q≠ 1 or -1.

Step-by-step explanation:

We have that,

U = the universal set = the set of all rational numbers

S = set of all integers.

It is required to find S^{c}.

Now, S^{c} is the complement of the set S.

i.e. S^{c} = U - S = set if rational numbers - set of integers

i.e. S^{c} = the set of rationals which are not integers i.e. the set of points of the form \frac{p}{q} , q≠0 and q≠ 1 or -1.

6 0
1 year ago
Read 2 more answers
At a desert resort, the temperature at 7 a.m. was 3°C. The temperature increased by an average of 3.4°C each hour until it reach
11Alexandr11 [23.1K]

Answer: It will take 8 hours to reach this temperature.

Step-by-step explanation:

Given: At a desert resort, the temperature at 7 a.m. was 3°C.

The temperature increased by an average of 3.4°C each hour until it reached 30.2°C.

Let x be the number of hours taken to reach 30.2°C..

As per given ,

Initial temperature +(average increase in temperature) (Number of hours) = 30.2

⇒3+3.4x=30.2

⇒3.4x=30.2-3

⇒3.4x=27.2

⇒ x=8    [Divide both sides by 3.4]

Hence, it will take 8 hours to reach this temperature.

6 0
1 year ago
You and your friend drive toward each other. The equation 50h=190−45h, h represents the number of hours until you and your frien
AlladinOne [14]
Here you go, hope it helps! :)

5 0
1 year ago
Read 2 more answers
Amir lent Rs. 600 to Hameed for 2 yrs and Rs.150 to Aman for 4 yrs and recievd altogether from both rs.90 as simple intrest.The
Alja [10]
600 *2*x + 150*4*x = 90

1200x + 600x = 90

1800x = 90

x = 90/1800 = 0.05

x = 5%

Answer: rate of interest = 5%

 
5 0
2 years ago
Alex is 1.6 m tall and Noah is 1.5 times as tall as Alex. How much taller is Noah in centimeters?​
nika2105 [10]

Answer:

80 centimeters taller

Step-by-step explanation:

First, convert Alex's height from meters to centimeters by multiplying by 100 because there are 100 centimeters in one meter to get 160 centimeters. Now multiply 160 centimeters by 1.5 to get Noah's height, 240 centimeters. Finally, since we need to find their difference in height, subtract Alex's height of 160 centimeters from Noah's height of 240 to get 80 centimeters.

8 0
1 year ago
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