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
dybincka [34]
3 years ago
14

A prism has a right triangle as its base.

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

168 cm³

Step-by-step explanation:

The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.

So, the third side of the triangle = \sqrt{10^{2}-6^{2}  }=8 cm.

{Since we have applied the Pythagoras theorem.}

Hence, the area of the base triangle is \frac{1}{2} \times 8 \times 6 = 24cm².

Therefore, the volume of the prism is = 24\times 7=168 cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}

(Answer)

You might be interested in
Jamie has a cup holder that can hold 3 cups at a time. The cup holders are labeled a, b, and c. He has 3 different color cups (b
JulsSmile [24]

Answer:

6 ways.

Step-by-step explanation:

a, b, c

a, c, b

b, a, c

b, c, a

c, a, b

c, b, a

8 0
3 years ago
In 10 minutes, the top three finishers in a hot dog eating contest consumed a total of 130 hot dogs. the winner, person a, ate 8
Vera_Pavlovna [14]
Let x be how many hot dogs person b ate

therefore, person a ate x+8 hotdogs
and person c ate x-10 hotdogs

they all ate 130 hotdogs in total so
x + x + 8 + x - 10 = 130
3x -2 = 130
3x = 132
x = 44

so person b ate 44 hotdogs
person a ate 8 more so 52 hotdogs
and person c ate 10 less than person b so 34 hotdogs
4 0
3 years ago
According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in
Liono4ka [1.6K]

Answer:

Options A, B and C are correct.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

From the Central Limit Theorem, we have that:

The larger the sample size, the closer to the normal distribution the distribution of sample means is.

No matter the sample size, the mean is the same.

The larger the sample size, the smaller the standard deviation.

The smaller the sample size, the larger the standard deviation.

So the correct options are:

A, B, C

6 0
3 years ago
Use the distributive property to remove the parenthesis<br><br> 2=(v-8)
Tpy6a [65]

Answer:

v = 10

Step-by-step explanation:

2 = v - 8

add 8 to both sides

10 = v

8 0
3 years ago
2 sides of a triangle are congruent. The base length is unknown. The top angle is 40 degrees and the bottom left angle is x degr
ANTONII [103]

Answer:

70

Step-by-step explanation:

both sides of the triangle are 70 because they equal 140 plus 40 is 180

7 0
3 years ago
Read 2 more answers
Other questions:
  • The chart shows a sample paycheck stub.Salary1106.45Federal122.67Income TaxSocial Security68.60TaxMedicare Tax16.04State Income1
    7·2 answers
  • Give a quick estimate of the area of a rectangle with length 114 in. And width 92 in. ?
    5·1 answer
  • What is the square root of 49
    6·2 answers
  • Daniel is paying $600 for his auto insurance, and he is wondering if he is overpaying compared to his friends. He sent an email
    11·1 answer
  • The U.S. produces about 5.5 million tons of apples each year. Of the total, $20\%$ is mixed with other products, with $50\%$ of
    14·2 answers
  • What is the perimeter of the pool? Need answer quickly
    12·1 answer
  • If Georgina travels 350 km in 7 hours, how far will she travel in 8.5 hours at the same rate?
    14·1 answer
  • Complete this number sentence with the correct symbol.<br><br> 0.90 ___ 0.9 <br> PLZZZZ I NEED HELP
    6·2 answers
  • What is the value of <br> 5<br> 5 units, as a fraction greater than <br> 1<br> 1?
    8·1 answer
  • I don’t understand how to do this
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!