Mathematics College

Find the total surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2

Answers

Answer 1

Answer:

Total surface area = 340 cm²

Step-by-step explanation:

Surface area of the given prism = Area of two bases + Area of its lateral surfaces

Area of pentagonal base = [tex]\frac{1}{2}(\text{Apothem)}(\text{Perimeter})[/tex]

= [tex]\frac{1}{2}(3.6)(5\times 5)[/tex]

= 45 cm²

Area of the lateral sides of the prism = Perimeter of the pentagonal base × height

= (5×5)×10

= 250 cm²

Total surface area of the prism = 2(45) + 250

= 90 + 250

= 340 cm²

Related Questions

The two figures shown are congruent. Which statement is true?

One figure is a translation image of the other.

One figure is a rotation image of the other.

Neither figure is a translation or rotation image of the other.

Answers

9514 1404 393

Answer:

(b) One figure is a rotation image of the other

Step-by-step explanation:

The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answers

Answer:

You get a D if you have a grade between 66 and 72.

Step-by-step explanation:

Normal Probability Distribution:

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

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.

This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]

D: Scores below the top 80% and above the bottom 6%

So between the 6th and the 20th percentile.

6th percentile:

X when Z has a pvalue of 0.06. So X when Z = -1.555.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -1.555*8.4[/tex]

[tex]X = 66.2[/tex]

Rounds to 66

20th percentile:

X when Z has a pvalue of 0.2. So X when Z = -0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -0.84*8.4[/tex]

[tex]X = 72.2[/tex]

Rounds to 72

You get a D if you have a grade between 66 and 72.

Solve for x leave your answers as a simplified radical

Answers

Answer:

D) 3√13

Step-by-step explanation:

6²+9²=x²

36+81=x²

117=x²

x=√117

x=√9√13

x=3√13

What is a the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2

Answers

Answer:

Step-by-step explanation:

y+4 = 3(x-2)

Evaluate the expression: 8 ⋅ (1/2)^2

Answers

Answer:

8 × (1/2)²

8 × 0.25

2 Answer!

Hope this helps, thank you :) !!

Answer:

Step-by-step explanation:

The answer is : 2

Simplify

I added image with explation! Hope this helps!

what is the measurement of jkl

Answers

Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

Please mark as brainliest!

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Is 2.8 greater than or less than 2.78? Pls answer

Answers

2.8 is greater than 2.78 :)

If you look in the tens place and compare the two numbers, you will see that 8 is greater than 7. That’s how you know that 2.8 is greater than 2.78

2.8 is greater than 2.78 because 2.8 would basically be 2.80 so you can just add 0 at the end cause that wouldn’t change anything. So 2.80 you can see is greater than 2.78 because .80 > .78
Hoped this helped!

(1 p 18. Demarcus drew a pair of complementary angles. He drew one angle that had a measure of 48º. What was the measure of the other angle he drew? 42° 48° O 132° O 138°

Answers

Answer: 42

Step-by-step explanation:

Complementary angles are angles in which the sums equal 90.

90 - 48 = 42.

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)

Answers

Answer:

(6x2 - 5)(x2 + 2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Grace created the net worth statement shown.
Based on the information in the statement, what is
Grace's net worth?
Net Worth Statement
- $46,600
Assets
Value
House (current value)
$125,000
® - $94,000
Investments
$12,000
Savings account
$3,600
$46,600
Total Assets
$140,600
D$234,600
Liabilities
Credit card debt
$7,500
Mortgage
$86,500
Total Liabilities
$94,000

Answers

Answer: 46,600

Step-by-step explanation:

Is the sum of the
angle measures always equal to the
sum of the arc measures

Yes or no ?

Answers

Answer
Yes

Explanation
I just know

Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mean of 505\,\text{mL}505mL505, start text, m, L, end text and a standard deviation of 10\,\text{mL}10mL10, start text, m, L, end text. A random sample of 161616 bottles is selected for a quality inspection. What is the probability that the mean amount of water in these 161616 bottles \bar x x ˉ x, with, \bar, on top is within 5\,\text{mL}5mL5, start text, m, L, end text of the population mean?

Answers

Answer:

P(500< xˉ <510)≈0.95

Step-by-step explanation:

Khan Academy

Find the accumulated value of an investment of $1710 at 5% compounded annually for 20 years.
A) $4321.08
B) $3334.50
C) $3420.00
D) $4537.14

Answers

Answer:

1710(1+0.05)²⁰=4537.14

Whats 4 5/6 + 5 7/8 thank you for answering

Answers

Answer:

4 5/6 + 5 7/8= 10 17/24

Step-by-step explanation:

pretty sure I answered this exact question like minutes ago

Answer: 257/24, or 10 and 17/24.

Step-by-step explanation:

First, we need to turn the fractions into improper fractions and then find the common denominator.

4 and 5/6 = 29/6

5 and 7/8 = 47/8

The common denominator is 24. Now, we convert the fractions and add. Hope this helps!

Help me plz and thank u

Answers

Answer:

Step-by-step explanation:

triangle formula = b x h /2

half of 8/2= 4

9 x 4= 36

36/2= 18

Madeline sells five roses on the first day, seven roses on the second day, ten on the third day, fourteen on the fourth day. If Madeline continues her selling pattern, how many roses will she sell on the tenth day? How many will she sell on the fifteenth day?

Answers

Answer:

124, I believe

Step-by-step explanation:

each day you're adding on the amount of the day,

5,7,10,14,19,25,32,40,49,59,70,82,95,109,124

days below

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)

5 on day 1

5+2=7 day 2

7+3=10 day 3

and so on

The slope of a linear function is 1/5. For every rise of 5 units, what is the run?

Answers

Answer:

for every rise of 1 the run would be 25

11 and 3/8 pounds of cat food were donated to the shelter

Answers

is that all there is to the sentence

For which Inequality would x= 4.5 not be a solution?
12-28
O8x+5>0
9x-5 <80
Ox+62 10

Answers

Answer:

12-28

Step-by-step explanation:

5. What are the values of x and y? Be sure to show your work.
helpppp plz hurry

Answers

Answer:

x=35 y=72.5

Step-by-step explanation:

x is equal to 35 because they are vertical angles. y is equal to 72.5 because if you use the equation y + y + 35 = 180 and subtract 35 then divide 145 by 2, you would get 72.5

You are selling lemonade. You find that if you set the price at $2.00 per cup, you sell 14 cups over the
course of a day. You also notice that for every $0.10 you decrease the price by, you sell 3 more cups over
the course of the day. Come up with a linear equation to model this situation.

Answers

Step-by-step explanation:

$2.00x-($.10x)=3+x

the x would stand for cups and since you already get 3 more cups in a day than before then you would put 3+x_how many cups you sell. the $2.00 is for how much money each up is. and the -$.10 is subtracting 10 cents for each cup you sell.

I dont know if this is correct but this is how I would make my equation

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?

Answers

Answer: 1672

explanation: add 3% from each previous year to get to the 6th year

Answer:

16717

Step-by-step explanation:

42/2 +9=???

what is the answer and how do you find the answer?!

Answers

42/2 is 21 then add 9 you’d get 30 as your final solution.

In a poll of students at the hockey championship, 87% of the students say that hockey is better than baseball.
(a) Explain why it is not a valid conclusion to say that hockey is more popular than baseball at the school.

Answers

Answer:

Sample Bias

Step-by-step explanation:

If you sample Hockey players on if their sport is better than baseball, chances are they will vote for their sport being better.

A child care center has three rooms, and the same number of children are in each room. If c children attend the center, write an algebraic expression that represents the number of children in each room.

Answers

Answer:

Number of children in each room = c / 3

Step-by-step explanation:

Given:

Number of rooms in care center = 3

Number of children attend the center = c

Find:

Number of children in each room

Computation:

Number of children in each room = Number of children attend the center / Number of rooms in care center

Number of children in each room = c / 3

if you were a doughnut shop owner and wanted to find out which doughnut you should make more of, which measure of central tendency would you use.

Answers

Answer:

Mode

Step-by-step explanation:

Measures of central tendency:

The 3 most common measures of central tendency are: The mean, the median, and the mode.

The mean is the average value.

The median separates the lower 50% of the values from the upper 50% of the values.

The mode is the value that appears the most times in the data-set.

In this question:

To find the doughnut you should make more, you should have to know which has the biggest interest from clients, that is, the one that is sold the most, which means that the mode should be used.

Answer:

Mode

Step-by-step explanation:

The age of a car and the value of the car
Positive correlation
Negative correlation
No correlation

Answers

Answer:

negative correlation ( age of the car increases value of it decreases)

Which sum is equivalent to 3/5 + 1/6?
A 6/10+2/10

B 12/30+5/30

C 18/30+5/30

D 3/11+4/11

Answers

Answer:

C 18/30+5/30

Step-by-step explanation:

Fractions scare me but I try

First we need to find the sum of 3/5 and 1/6

To do that we turn the denominators into common denominators.

[tex] \frac{18}{30} + \frac{5}{30} [/tex]

then we just add

[tex] \frac{18}{30} + \frac{5}{30} = \frac{23}{30} [/tex]

hope this makes sense

4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes??? someone help

Answers

Answer:

7 pairs of shoes costs $140

Step-by-step explanation:

80/4 = $20 per pair of shoes

20* 7 = $140

7 pairs of shoes costs $140

Answer: 140$ $80/4 is 20 so the cost for one pair of shoes is 20$ so 20$ times 7 is 140$

Step-by-step explanation:

Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?

Answers

Answer:

2000 minutes on 16 miles

Answer:

168.75 minutes

Step-by-step explanation:

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

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Find the total surface area of the following prism: 5 cm 5 cm 5 cm 5 cm 10 cm 5 cm apothem = 3.6 cm SA = [ ? ] cm2

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Find the total surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2