A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet. [Not drawn to scale] 60 square feet 72 square feet 82 square feet 84 square feet

Answers

Answer 1

Answer:

72ft²

Step-by-step explanation:

Calculate the area of each face and then sum them.

area of base = 4 × 5 = 20 ft²

area of back = 5 × 3 = 15 ft²

area of sloping face = 5 × 5 = 25 ft²

area of 2 triangular faces = 2 ×  × 4 × 3 = 4 × 3 = 12 ft²

Thus

surface area = 20 + 15 + 25 + 12 = 72 ft²


Related Questions

PLEASE HELP?

Which of the following inequalities is true according to the number line?

Answers

Answer:

a

Step-by-step explanation:

A quadrilateral has 4right angles and 2 pair of opposite sizes that are parallel. What quadrilateral could be

Answers

Answer:

parllelogram

Step-by-step explanation:

............

ill used 5⁄6 cup of flour and 1⁄3 cup of sugar. How much more flour than sugar did Jill use in her recipe?

Answers

Answer:

5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 more cups of flour. Hope this helps!

Answer:

1/3 x 2/2 = 2/6

5/6 - 2/6 = 3/6

3/6 / 3/3 = 1/2

1/2 more flour than sugar

Hope this helps. If you have any questions you can ask.

Step-by-step explanation:

Looking at Morningstar’s Financial Health ratios, what has happened to HP’s liquidity position over the past 10 years?

Liquidity/Financial Health
2010-10
2011-10
2012-10
2013-10
2014-10
2015-10
2016-10
2017-10
2018-10
2019-10
Latest Qtr

Current Ratio
1.10
1.01
1.09
1.11
1.15
1.23
0.98
1.00
0.85
0.80
0.73

Quick Ratio
0.78
0.58
0.79
0.80
0.83
0.92
0.69
0.68
0.55
0.53
0.48

Financial Leverage
3.07
3.35
4.85
3.88
3.86
3.85






Debt/Equity
0.38
0.58
0.97
0.60
0.60
0.78




Answers

Answer:

Step-by-step explanation:

Huh lol ok

Written expression for the sum of d and 9

Answers

Hey!!

Here's your answer:

Answer:d+9

Hope it will help you....

Good luck on your assignment

What is equalivant to 5+4z+13

Answers

Answer:

[tex] = 4z + 18[/tex]

Step-by-step explanation:

[tex]5 + 4z + 13 \\ = 4z + 18[/tex]

The coach of a college basketball team records the resting pulse rates of the team's players. A confidence interval for the mean resting pulse rate of all collegians based on these data is of little use because __________.
A) the sample size is small, so the margin of error will be large.
B) the members of the basketball team can't be considered a random sample from the entire collegiate population.
C) many of the students on the team may refuse to respond.
D) the coach has sampled the entire population so there is no need for inference.

Answers

Answer:

B) the members of the basketball team can't be considered a random sample from the entire collegiate population.

Step-by-step explanation:

The coach is trying to estimate a parameter of a population (the mean resting pulse rates of alla collegians) from a sample statistic (the mean resting pulse of the basketball team's players).

The confidence interval for the parameter is of little use as the sample of team players is not representative of the population of collegians. The sample can not be considered random. Then, the estimation of the parameter will be biased.

Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below. In January she used 3/5 of the amount of oil that she used in February Fill in the amount of oil that Jackie used in January in the table below

Answers

Answer: 2/5

Step-by-step explanation:

What is the quotient of 38 and 23?

Answers

Answer:

im not sure if your doing it by 38 dividend by 23 but i got 1.652174.......idk really im doing the same question lol.

Step-by-step explanation:

what is the volume of a cone with a diameter of 30 feet and a hight of 60 feet​

Answers

Answer:

4500[tex]\pi[/tex] [tex]ft^{3}[/tex]or 4712.39[tex]ft^{3}[/tex]

What we need to know: The formula for the volume of a cone is: [tex]V=\pi r^{2} \frac{h}{3}[/tex]

So we are solving for V

Step-by-step explanation:

1) Radius is half of diameter r=30/2 thus, your radius is 15

2) you then have all your variables so you can start plugging values into your equation:

r=15 h=60

[tex]V=\pi 15^{2} \frac{60}{3} \\V=\pi (225)*(20)\\V=\pi(4500) \\V= 4500\pi[/tex]

This would be your exact answer but if you are solving for a rounded answer it would be

V~4712.39[tex]ft^{3}[/tex]

Pllssss I need help

Answers

Answer:

  see below

Step-by-step explanation:

The sides of the triangle that are given in relation to x are the Adjacent side (10) and the Hypotenuse (15). The mnemonic SOH CAH TOA tells you the trig function that uses sides A and H is the Cosine function.

  Cos = Adjacent/Hypotenuse

  cos(x) = 10/15

Point A is at (-1, -9) and point M is at (0.5, -2.5).
Point M is the midpoint of point and point B.
What are the coordinates of point B?

Answers

I think the coordinates are (2, 4)

Answer:2,4

Step-by-step explanation:

Which inequality has -25 in its solution set?
A. y + 11 > -9
B. y - 17 Less-than-or-equal-to -46
C. 30 Less-than-or-equal-to y + 5
D. y + 20 > -30

Answers

Answer: The answer is D: y + 20 > -30

Step-by-step explanation:

I got this right on edgen.

Have a good day!! #BLM <3

How much is 3 times 4

Answers

Answer:

3×4 = 12!

TWO WAYS TO LOOK AT IT:

(A) 3 groups of 4!

(B) 4 groups of 3 apples!

Based on the two articles you have read, how might Google's mission to give
everyone access to as much information as possible make it easier to violate
a person's Fourth Amendment rights?
A. A person's personal information would be almost impossible to
find
B. People would be able to find information faster
C. The government might have access to a person's private
information making it easier to conduct warrantless searches and
seizures
O D. Business would be able to place ads relevant to what person typed
in a search engine,

Answers

The article shows that it may make it easier for the government to have access to a person's private information and to conduct unwarranted searches and seizures.

What are a person's Fourth Amendment rights?

A person's Fourth Amendment rights is related to the right of an individual to be protected from unwarranted searches and seizures by the government.

According to the articles, Goo_gle's mission is to give

everyone access to as much information as possible.

This however would make it easier for a person's personal belongings or private information to be a target of government officials.

Therefore, Goo_gle's mission may make it easier for the government to have access to a person's private information making it easier to conduct unwarranted searches and seizures.

Learn more about Fourth Amendment rights at: https://brainly.com/question/17104412

Excuse me can you help me to resolve this (×+5) (4x-3)=0

Answers

Answer: x = 3/4 x = -5

Step-by-step explanation:

x+5=0

x=-5

4x-3=0

Add three to both sides

4x = 3

x=3/4

can you put this in order 2, 10, 9, -10, -9, -8, -7, -6, -5 -4, 0,

Answers

ORDER FROM LEAST TO GREATEST:

-10, -9, -8, -7,-6, -5, -4, 0, 2, 9, 10.

Hey there!

When we have negative numbers, we might count like this: ....-5,-4,-3,-2,-1,0,1,2,3....

As you can see, the negative number is known as greater if it is closer to zero, so -1 is greater than -100.

With this information, let's order these numbers! :)

-10,-9,-8,-7,-6,-5,-4,0,2,9,10

I hope that this helps!

Estimate the product :23. 8 × 349

Answers

Answer:

8400

Step-by-step explanation:

Round them to their nearest whole:

23.8 x 349

24 x 350

We then use what we rounded and answer...

24 x 350 estimated to 8400

Answer:

6000

Step-by-step explanation:

23.8 - 20

349 - 300

20 times 300 = 6000

The graph shows the relationship between the number of concert tickets
purchased and the total cost for the tickets. Write an equation for this
relationship.

Answers

Answer:

Step-by-step explanation:

y = 20x

6 more than a number is 36.

Answers

Answer:

30

Step-by-step explanation:

30+6= 36

36-6=30

Lets use n to represent the number.

6 more than a number: n + 6

is 36: = 36

Put the equation together:

n + 6 = 36

Solve for n.

n + 6 = 36

~Subtract 6 to both sides

n + 6 - 6 = 36 - 6

~Simplify

n = 30

Best of Luck!

help fast timed plss!!

Answers

Answer:

Top to Bottom:

2nd Parallelogram

2nd Trapezoid

Triangle

1st Parallelogram

1st Trapezoid

Step-by-step explanation:

1. Trapezoid: 40

2. Triangle: 30

3. Parallelogram: 32

4. Trapezoid: 28

5. Parallelogram: 24

P.S. Sorry I took to Long

PLEASE HELP
( velocity - on a graph )

Answers

Answer:

a) v_avg = k

b) 0.034 km/h

Step-by-step explanation:

a) The average velocity is given by the displacement over the time:

[tex]v_{avg}=\frac{\Delta x}{\Delta t}[/tex]   (1)

Δx is the area under the line. In this case you can consider two areas. Firs, from t=0 t0 t=30 and from t=30 to t=50:

S1 = 30k

S2 = 20k/2 = 10k

Then, the total surface is:

S = S1+S2 = 50k

The average speed is:

v_avg = (50k)/(50s)= k

b) The value of k can be determined by using the expression for the total area under the line, which is the total displacement of the car S=1.7 km:

S=50k=1.7km

k=(1.7km)/(50k)=0.034km/h = 34 m/h

Please help quickly !!!!!!

Answers

Answer:

You should be able to figure this out from the explanation below.

Step-by-step explanation:

When two lines cuts across each other they form.what we call.vertically opposite angles so from the figure above, we can say:

Look at the diagram below for more understanding of the concept.

Answer: 77 degrees

Step-by-step explanation:

Use Theorem "measure of the angle is the average of the measures of the arc

(a=b+c/2)

a=x

b=76

c=78

Set up your equation, X=76+78/2

=77

Hope this heeelps~!!

-Michiko

a marble is drawn at random from a bag which contains nine yellow marbles and six white marbles . Find the probability of white marble?

Answers

Answer:

2/5

Step-by-step explanation:

The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

Answers

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that [tex]r = 0.16[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = V(0)(1-0.16)^{t}[/tex]

[tex]V(t) = V(0)(0.84)^{t}[/tex]

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

[tex]V(t) = V(0)(0.84)^{t}[/tex]

[tex]0.5V(0) = V(0)(0.84)^{t}[/tex]

[tex](0.84)^{t} = 0.5[/tex]

[tex]\log{(0.84)^{t}} = \log{0.5}[/tex]

[tex]t\log{0.84} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.84}}[/tex]

[tex]t = 3.98[/tex]

The half life of the car is 3.98 years.

Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?

Answers

Answer:

[tex] 240 =5x +115[/tex]

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

[tex] 240-115= 5x[/tex]

[tex] 125 = 5x[/tex]

And now we can divide both sides by 5 and we got:

[tex] x= 25[/tex]

So then the number of hours spent to decorate the house are 25

Step-by-step explanation:

Based on the information given we can model this function with this formula:

[tex] y = mx+b[/tex]

Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:

[tex] 240 =5x +115[/tex]

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

[tex] 240-115= 5x[/tex]

[tex] 125 = 5x[/tex]

And now we can divide both sides by 5 and we got:

[tex] x= 25[/tex]

So then the number of hours spent to decorate the house are 25

The fraction, in hundredths,that is equivalent to 9/10

Answers

Answer:

9/10 is equivilent to 0.900

Step-by-step explanation:

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

B

Step-by-step explanation:

The -1/3 stretched it and reflect it to x axis, then the 4 moved it to the left

Write an expression using numbers and variables for each expression below.
Example: 10 less than the product of 15 and c 150 - 10
A number d is decreased by 5 and then doubled.

Answers

Answer:

a number x is multiplied by 4 then increased by 2

Step-by-step explanation:

4x+2

Can someone help me with is

Answers

Answer:

It is not equivalent

Step-by-step explanation:

Because the first expression simplified is 3x with the power of 9, and the first expression simplifies to x with a power of 9.

Answer:

No, they are not equivalent.

Step-by-step explanation:

In the case of the first expression: x³ * x³ * x³, you will solve the power first, before multiplying the whole numbers.

However, in terms of the second one, you are multiplying the powers first, and then solving for the power.

Take for example, x = 2. Plug in 2 for x in the expressions given:

x³ * x³ * x³ = 2³ * 2³ * 2³ = 8 * 8 * 8 = 64 * 6 = 512

However,

2^(3 * 3 * 3) = 2^(27) = 134,217,728

~

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