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
GrogVix [38]
3 years ago
12

Calculate the volume and total surface area​

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

Below.

Step-by-step explanation:

a. Volume =  area of triangular side * length

1/2 * 3 * 4 * 8

= 48 cm^3.

Surface area =  2 * area of the triangle + area of sloping side+ area of the base + area of the back side

= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8

=  12 + 40 + 24 + 32

= 108 cm^2.

b.  Volume = area of the triangular side * length

= 1/2 * 5.0 * 5..0 * 8.2

= 12.5 * 8.2

= 102.5. cm^3.

Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee

=  2 * 1/2 * 5^2 + 2 * 5 * 8.2 +  8.2 * 7.1

= 25 + 82 + 58.22

= 165.22 cm^2.

You might be interested in
A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviat
Mnenie [13.5K]

Answer:

B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

35 gas ovens

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:

\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71

40 electric ovens.

The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.

\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585

Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?

By the Central Limit Theorem, the shape is approximately normal.

Mean: \mu = \mu_G - \mu_E = 15 - 13.4 = 1.6

Standard deviation:

s = \sqrt{s_G^2+s_E^2} = \sqrt{(0.71)^2+(0.585)^2} = 0.92

So the correct answer is given by option b.

3 0
2 years ago
Absolute value of 3 ​
den301095 [7]

Answer:

3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Please answer this correctly
Anna [14]

Answer:

66.7%

Step-by-step explanation:

The numbers less than 7 on the list are 3, 4, 5, and 6.

4 numbers are less than 7 out of total 6 numbers.

4/6 = 2/3 = 0.667 = 66.7%

3 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (3, 8) and (8, 5).
tino4ka555 [31]

Answer:

-⅗

Step-by-step explanation:

(5-8)/(8-3) = -3/5

8 0
2 years ago
What is <br> P =4s when p= 64<br> Missing variable
Fantom [35]

Answer:

s=16

Step-by-step explanation:

P=4s

Put P=64

64=4s

s=16

4 0
2 years ago
Other questions:
  • Solve the inequality for V.<br><br> -8.3 _&gt;_ V - 1.9
    5·1 answer
  • A packing box has the dimensions 3 by 2 by 5 1/2 feet. What is the volume of the box?
    6·1 answer
  • What is the solution to the inequality?<br> 6x - 5 &gt; -29
    15·1 answer
  • What is 9x +9= 9x + I really need help !!
    5·2 answers
  • I NEED HELP!!! PLEASE NO LINK FILE!
    9·1 answer
  • Convert 3 weeks to hours. Use a lable.
    8·1 answer
  • The length of a side of a cubical box is 45 m.Find its volume​
    14·1 answer
  • 2.5^2 +[(6 - 3/4 ) / 2] x2^5
    6·1 answer
  • Suppose you own a home worth $185,325 and your property tax is 1.5%. How much are you liable to pay at the end of the year?
    8·1 answer
  • Daryl is boarding a plane he has two checked bags of equal weight and a backpack that weighs 4 kilograms the total weight in Car
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!