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KatRina [158]
3 years ago
14

There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the p

rism
Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

244 cm³

Step-by-step explanation:

Step 1: Given data

Height of the prism with a pentagonal base (h): 8 cm

Area of the pentagonal base (A): 30.5 cm²

Step 2: Calculate the volume of the prism with a pentagonal base

We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.

V = A × h

V = 30.5 cm² × 8 cm = 244 cm³

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6 0
3 years ago
Can anybody help me please
GREYUIT [131]

Question 7: Option 1:  x = 33.5°

Question 8: Option 3: x = 14.0°

Step-by-step explanation:

<u>Question 7:</u>

In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle

So,

Perpendicular = P = 32

Hypotenuse = H = 58

So,

sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48

Rounding off to nearest tenth

x = 33.5°

<u>Question 8:</u>

In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x

So,

Perpendicular = P = 5

Base = B = 20

So,

tan\ x = \frac{P}{B}\\tan\ x = \frac{5}{20}\\tan\ x = 0.25\\x = tan^{-1} (0.25)\\x = 14.036

Rounding off to nearest tenth

x = 14.0°

Keywords: Right-angled triangle, trigonometric ratios

Learn more about trigonometric ratios at:

  • brainly.com/question/909731
  • brainly.com/question/902892

#LearnwithBrainly

8 0
3 years ago
Find the degree of each monomial.
eimsori [14]

Answer:

1. 3rd degree

2. No degree

3. First degree

4. 8th degree

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
a 5th grade volleyball team scored 32 points in one game. of those points 2/8 were scored in the second half. how many points we
Degger [83]

Answer:

Number of points scored in the first half of the match is 24 points.

Step-by-step explanation:

Total point scored in the volleyball game = 32

Let us assume the points scored in the first half = m

and the point scored on the second half = 2/8 of (Total points)

= \frac{2}{8}  \times  32  = 8

⇒ The number of points s cored in the second - half  =  8 points

Now, Points in FIRST half+ Points in SECOND  half=  Total Points

⇒ m+ 8 = 32

or, m  = 32 - 8 =  24

⇒ m = 24

Hence, the number of points scored in the first half is 24 points.

4 0
3 years ago
Solve the inequality and describe the solution set:<br> y-6 ≥ 12
Finger [1]
Y<span>≥18

You want to get the y only on one side of the equation. To get rid of the -6 you  have to add 6 to both sides to even out the equation.

y-6</span><span>≥</span><span>12
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y </span>≥18
3 0
3 years ago
Read 2 more answers
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