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
What is 3.42857142857 rounded to the nearest hundredth
Advocard [28]
3.43 look to the number to the right of the hundredths place. If it's higher than 5 round up.
7 0
2 years ago
Read 2 more answers
Helppppppppppppppp plsssssssssss
mel-nik [20]

Answer:

y=5/1 - 3

Step-by-step explanation:

use rise over run

8 0
2 years ago
The number of gallons of paint needed to cover a wall varies directly with the area of the wall. The Robertsons find that they u
Licemer1 [7]

Answer:

If 1/2 gallon covers 540 square feet, then 1 gallon will cover 1080 square feet.

Step-by-step explanation:

5 0
3 years ago
a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when h
Firdavs [7]

Answer: 14.2 I hope im Right but it’s a simple question

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Can you help me pleeeeaaassee??
melamori03 [73]

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC, Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1), Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Given: The diagram is given and we need to find the errors and then fix them. Also ΔTSR ≈ ΔTCD

Let's solve the given question:

Given that ΔTSR ≈ ΔTCD

So we know by the properties of the similarity that if two triangles are similar then the ratio of their corresponding sides is equal.

So, ΔTSR ≈ ΔTCD

=> RT / TD = ST / TC

=> 14 / 7 = 16 / (x - 1)

In the question, we can observe that the given side ratio is DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC.

The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

The third error is the value of x.

We can find the correct value of x from the given equation:

14 / 7 = 16 / (x - 1)

=> 2 = 16 / (x - 1)

Multiplying both sides by (x - 1):

(x - 1) × 2 = 16 / (x - 1) × (x - 1)

=> 2(x - 1) = 16

Multiplying both sides by 1 / 2:

2(x - 1) × 1 / 2= 16 × 1 / 2

=> x - 1 = 8

Adding 1 on both sides:

x - 1 + 1 = 8 + 1

x = 9

Therefore x = 9.

Hence the errors are:

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC

Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Know more about "similar triangles" here: brainly.com/question/14366937

#SPJ9

8 0
1 year ago
Other questions:
  • The table shows the cost of concessions at a concert. Evan spent $31.50
    14·1 answer
  • Given the information w= 4 inches and h=7 inches, find two ways to evaluate 2w + 2h
    6·1 answer
  • Find the least positive angle measurement that is coterminal with 230°.
    7·1 answer
  • HELPPPP. SOMEONE HELP PLEASE
    8·2 answers
  • Susie had $32,000 in her bank. She's wants half of it right now. what's half of 32,000/2 ? Mixed numbers only. I don't think thi
    10·2 answers
  • I have a couple more questions and I don’t have time to answer them all lol, my science class starts in 15 minutes.
    10·2 answers
  • Pls help and show workings
    15·1 answer
  • The graphs<br> below have the same shape. What is the equation<br> of the blue graph?
    11·1 answer
  • Shawn is collecting money from students at his school for a charity. The table gives the ratios of the number of students who ha
    6·1 answer
  • Anyone can help me on number 8
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!