Part B if the height of each prism is 10 Cm what is the surface area prism
Answers
Answer:
Prism A:
[tex]Area = 288cm^2[/tex]
Prism B:
[tex]Area =250cm^2[/tex]
Step-by-step explanation:
Given
See attachment for prisms
[tex]Height(h) = 10cm[/tex]
Required
Determine the surface area of both prisms
Prism A is triangular and as such, the surface area is:
[tex]Area = 2 * A_b + (a + b + c) * h[/tex]
Where
[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]
and
[tex]s = \frac{a + b + c}{2}[/tex]
Such that a, b and c are the lengths of the triangular sides of the prism.
From the attachment;
[tex]a = 8; b =6; c =10[/tex]
So, we have:
[tex]s = \frac{a + b + c}{2}[/tex]
[tex]s = \frac{8 + 6 + 10}{2}[/tex]
[tex]s = \frac{24}{2}[/tex]
[tex]s = 12[/tex]
Also:
[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]
[tex]A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}[/tex]
[tex]A_b = \sqrt{576}[/tex]
[tex]A_b = 24[/tex]
So:
[tex]Area = 2 * A_b + (a + b + c) * h[/tex]
[tex]Area = 2 * 24 + (8 + 6 + 10) * 10[/tex]
[tex]Area = 288cm^2[/tex]
Prism B is a rectangular prism. So, the area is calculated as:
[tex]Area = 2 * (ab + bh + ah)[/tex]
From the attachment
[tex]a = b = 5[/tex]
[tex]h =10[/tex]
So:
[tex]Area =2 * (5 * 5 + 5 * 10 + 5 * 10)[/tex]
[tex]Area =250cm^2[/tex]
Related Questions
3 Ms. Sosa's principal gave her $350 to spend on school supplies at the beginning of the year. She bought 10 packs of dry erase markers for $9.98 each and 15 packs of pre-sharpened pencils that cost \$12.99 each . How much does she have left to spend?
A $302.03
B $644.65
C $55.35
D $295.65
Answers
Answer:The answer is D
Step-by-step explanation: Mark me brainliest please
Tyler has 2 1/3 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. How many smoothies can Tyler make with the yogurt?
Answers
Answer:
7 smoothies
Step-by-step explanation:
change 2 1/3 into improper fraction => 7/3
divide 7/3 by 1/3:
=> 7/3 × 3
=> 7
Answer:
2 1/3
Step-by-step explanation:
Solve for angle x help plz
Answers
Answer:
123 degrees
Step-by-step explanation:
Answer:
123°
Step-by-step explanation:
360 - 114 - 43 - 80 = 123
A company manufacturing a roadside lighting system wants to estimate the average illuminance (brightness) at sunset. The illuminance at sunset for the past 10 days was as follows: 406, 385, 389, 383, 352, 379, 388, 343, 368, 387 lux. Construct a 95% confidence intervals for the average illuminance at sunset. Assume that the illuminance at sunset is approximately normally distributed.
Answers
Answer:
(364.595 ; 391.405)
Step-by-step explanation:
Given the sample data:
406, 385, 389, 383, 352, 379, 388, 343, 368, 387
Using calculator :
Sample mean, xbar = 378
Standard deviation, s = 18.74
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
TCritical at df = 24 ; 0.05 = 2.262
Margin of Error = 2.262 * 18.74/√10 = 13.405
Lower boundary = (378 - 13.405) = 364.595
Upper boundary = (378 + 13.405) = 391.405
(364.595 ; 391.405)
plz help me with the problem below
Answers
Answer:
10
Step-by-step explanation:
5. Write 21/25 as a percent * O 84% O 80% o 21% 25%
Answers
Answer:
84%
Step-by-step explanation:
21/25 = 84/100 = 0.84 = 84%
Answer: 84%
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 6.6 pounds/square inch with a standard deviation of 1.0. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
Answer:
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
The null hypothesis is accepted at 0.01 level of significance
The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch
Step-by-step explanation:
Step:-1
Given that mean of the population (μ) = 6.5 pounds/ square inch
Given that the sample size 'n' = 26
Given that mean of the sample ( x⁻) = 6.6 pounds/ square inch
Given that the standard deviation of the sample (σ) = 1.0
t₀.₀₁ = 2.7874
Step:-2
Null hypothesis:H₀: μ = 6.5
Alternative Hypothesis:H₁: μ ≠6.5
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{6.6-6.5}{\frac{1.0}{\sqrt{26} } }[/tex]
t = 0.510
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
Final answer:-
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
The null hypothesis is accepted at 0.01 level of significance
The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch
Rewrite as an exponential equation.
In7 = y
Answers
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answers
Answer:
10.3
Step-by-step explanation:
6²+b²=9²
36+b²=81
b²=81-36
b²=45
b=√45
b=6.7
So CE is 6.7.
6²+b²=7²
36+b²=49
b²=49-36
b²=13
b=√13
b=3.6
so EA is 3.6
AC = CE+EA = 6.7+3.6 = 10.3
A triangle has angles measuring 108 and 24 degrees. What is the measure of the third angle?
Answers
от
Background
14/15 -
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
a. Using only miles
b. Using a whole number of miles and a whole number of feet
Answers
Answer:
2.75 miles, 14520 feet
Step-by-step explanation:
11 miles/4=2.75
1 mile=5280 feet
2.75 miles=14520 feet
Maya read 3535 pages in \frac{4}{5}
5
4
of an hour. If she continues reading at the same rate, how many pages will she read in an hour?
Answers
Question for the Poster: Can I get brainliest,Thanks.Please type your questions with correct spelling so you can get your question answered to the best of everyone's ability
Answer:Maya reads 43 and 3/4 or 43.75 pages in 1 hour(or 44 pages per hour)
Find the median and mean of the data set below: 40,45,7,21,31 40,45,7,21,31
Answers
Answer:
mean=28.8
median=31
Step-by-step explanation:
mean=sum of all values/number of all values
mean=40+45+7+21+31+40+45+7+21+31/10
=288/10
mean=28.8
Median
arrrange in order
7,7,21,21,31,31,40,40,45,45
in case of even ungrouped data median is the average of middle two values
= (31+31)/2
median =31
Two stacks of quarters are shown. Both stacks have the same amount of quarters.
The statement below uses the Cavlieri's principle to explain why the volumes of these two stacks of
quarters are equal.
the sections made by planes
from their respective bases are always equal, then the
volumes of the two solids are equal.
Which of the following pair of statements can be use to fill in the empty boxes above?
Answers
Answer:
in geometry nation its in two solids of equal altitude, parallel to and at the same distance.
Step-by-step explanation:
just got it wrong :(
Answer:
D
Step-by-step explanation:
Round to one billion place. Drop the zeros.
28,436,297,825
30,943,267,101
45,831,246,935
Answers
Answer:
28,436,297,825
30,943,267,101
45,000,000,000
Step-by-step explanation:
ur welcome
On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 3% interest, compounded continuously. Determine the balance in this account on the child's 24th birthday.
Answers
Answer:
3/100 × 30000 is the answer to your question.
2. Half of Robert's piece of wire is equal to of Maria's wire. The total length of their wires is 10 feet. How much longer is Robert's wire than Maria's?
Answers
Step-by-step explanation:
Given that,
Half of Robert's piece of wire is equal to of Maria's wire i.e.
[tex]\dfrac{R}{2}=M[/tex] ....(1)
Total length of the wires = 10 feet
ATQ,
[tex]R+M=10[/tex] ....(2)
Use equation (1) in (2).
[tex]R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft[/tex]
So,
[tex]M=\dfrac{6.67}{2}\\\\M=3.33\ ft[/tex]
Hence, this is the required solution.
Find the solutions of :
-3X + 2 2 14
Give 5 solutions
Answers
Answer:
-3(x - 738)
Step-by-step explanation:
-3x+2214
-3x+3 . 738
-3(x-738)
The area of a triangle is 92 square inches. The base is 23 inches. What is the height in inches? Do not include units in your answer.
Answers
Answer:
34,5 ?? I am not good at this but I did 92-23 that's 69 ÷ 2 = 34.5 ?
Answer:
Step-by-step explanation:
We can use the formula for the area of a triangle, to help us find the height:
Area=12⋅b⋅h
Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:
92=12⋅23⋅h
Isolate h by multiplying both sides by 2 and dividing both sides by 23.
hh=2⋅9223=8
The height is 8 inches.
area of circle if circumference is 132m
Answers
Answer:
1386 cm²
Step-by-step explanation:
Here's your answer!
Hope it helps :)
Answer:
1386.56m²
Step-by-step explanation:
A=C2
4π
Circumference^2/4(3.14)
A consumer group wants to know if an automobile insurance company with thousands of customers has an average insurance payout for all their customers that is greater than $500 per insurance claim. They know that most customers have zero payouts and a few have substantial payouts. The consumer group collects a random sample of 18 customers and computes a mean payout per claim of $579.80 with a standard deviation of $751.30.
Is it appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers?
A. Yes, it is appropriate because the population standard deviation is unknown.
B. Yes, it is appropriate because the sample size is large enough, so the condition that the sampling distribution of the sample mean be approximately normal is satisfied.
C. No, it is not appropriate because the sample is more than 10 percent of the population, so a condition for independence is not satisfied.
D. No, it is not appropriate because the standard deviation is greater than the mean payout, so the condition that the sampling distribution of the sample mean be approximately normal is not satisfied.
E. No, it is not appropriate because the distribution of the population is skewed and the sample size is not large enough to satisfy the condition that the sampling distribution of the sample mean be approximately normal.
Answers
Answer:
E. No, it is not appropriate because the distribution of the population is skewed and the sample size is not large enough to satisfy the condition that the sampling distribution of the sample mean be approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
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 [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
Standard deviation larger than the sample mean means that the distribution is skewed.
By the Central Limit Theorem, when the distribution is skewed, normality is assumed for samples sizes of 30 or higher. In this question, the sample is of 18, which is less than 30, so the hypothesis test is not appropriated, and the correct answer is given by option E.
Sheila had one gallon of milk. She used gallon of milk to make ice cream. She used another gallon of milk to make cookie dough. How much of a gallon of milk does Sheila have left?
Answers
Answer:
Step-by-step explanation:
we know that
1) Sheila had 1 gallon of milk
2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left
3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24
14/24-----> 7/12 gallon
4. Complete the number sentence below: *
x 102 = 2,500
Help me please !!!
Answers
Please I need help on Tis question
Answers
Answer:
Step-by-step explanation:
The answer is D, the function approaches 1 as x approaches +- infinity. We can divide each term by x^2. We will get the following:
[tex]\frac{1-4/x^2}{1-9/x^2}[/tex]
as x goes to infinity, the -4/x^2 and -9/x^2 go to 0. To the equation just becomes 1/1. So the answer is 1.
Which fraction is the product of 8/7 x 9/10?
Answers
Answer:
[tex] \frac{8}{7} \times \frac{9}{10} \\ = \frac{8 \times 9}{7 \times 10} \\ = \frac{72}{70} \\ = 1.02[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Please help!!!!!!!!!
Answers
10+6+9+13+7= 45
and divide it by 5
the answer is 9
the answer is 2.74, this is easy to figure out if you want to you can look up a claculator for it
What is the measure of the central angle that goes with the given arc measure shown below
Answers
Since the arc is equal to 90 the central angle is also equal 90
can you guys help me pls
Answers
Answer:
D. (4 1/2, 2 1/2)
Step-by-step explanation:
Look for each point on the coordinate graph.
if f(x)=k g(x), what is the value of k
Answers
Answer:
the y intercept
Step-by-step explanation:
the k in algebra is the y intercept :))
The window above Matt's front door is shaped like a triangle.
How many equal-length sides does the window have?
Enter the correct answer in the box.
PLEASE HELP
Answers
Answer:
It has 2 equal side lengths