1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
matrenka [14]
2 years ago
14

6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

Mathematics
1 answer:
eimsori [14]2 years ago
8 0

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

You might be interested in
The difference between a number and 8 is 11
quester [9]

Answer:

The difference between 19 and 8 is 11.

Step-by-step explanation:

Given:

The difference between a number and 8 is 11

Find the number.

Solution:

Let the unknown number be =x

The difference between the unknown number can be written as:

x-8

We are given that the difference =11

So we can write the equation to find x as :

x-8=11

Using additive property to solve for x

Adding 8 to both sides to isolate x on one side.

x-8+8=11+8

∴ x=19

∴ The unknown number = 19

6 0
3 years ago
Read 2 more answers
Perpendicular lines are always, sometimes , never coplanar
daser333 [38]

They are always on a coplanar

8 0
2 years ago
Read 2 more answers
What is the mass of the shorter bar?
Lynna [10]
Its 24 kg , first you divide the 40 into 5 which equals 8 each so for each meter you get 8 kgs

so 8 multiplied by 3 is 24kg
4 0
3 years ago
Read 2 more answers
5x-9&gt;4 and sketch a graph on that question​
iren [92.7K]

Answer:

Step-by-step explanation:

7 0
3 years ago
Please help me with this explain!!!!!
erik [133]
Given:
Cylinder: radius = 8 yd; height = 4 yd
Surface Area = 2 π r h + 2 π r²
SA = 2 * 3.14 * 8 yd * 4yd + 2 * 3.14 * (8yd)²
SA = 200.96 yd² + 401.92 yd²
SA = 602.88 yd²
Volume = π r² h
V = 3.14 * (8yd)² * 4yd
V = 803.84 yd³

Dimension is cut in half. radius = 4yds ; height = 2yds
S.A = 2 * 3.14 * 4yd * 2yd + 2 * 3.14 * (4yd)²
S.A = 50.24 yd² + 100.48 yd²
SA = 150.72 yd²
V = 3.14 * (4yd)² * 2yd
V = 100.48 yd³

SA =
602.88 yd² - 150.72yd² = 452.16 yd²
V =
803.84 yd³ - 100.48 yd³ = 703.36 yd³
7 0
3 years ago
Other questions:
  • The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories, c, in 9 c
    8·2 answers
  • Create a sequence in which 1 1/4 is added to each number
    12·1 answer
  • ASAP answer quickly please
    8·1 answer
  • Write that number as a decimal?
    6·1 answer
  • How to divide 36 into 540 using partial quotients
    10·1 answer
  • The shorter leg of a right triangle is 7cm shorter than the longer leg. The hypotenuse is 7cm longer then the linger leg. What i
    13·1 answer
  • Help? Please?<br><br> Round the number to the thousandths place "79337.945573"
    15·1 answer
  • A study is conducted to examine the correlation between Training Time and the Error Rate of employees. If the correlation coeffi
    6·1 answer
  • What must be true if = 30 Ze? Assume a+0,b=0, and y+0.
    5·1 answer
  • Just need help with number 2 I will GUVE brainliest
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!