34 in.
16 in.
22 in.
Lateral Surface Area =
in squared
Total Surface Area =
in squared
Volume =
in cubed

34 In.16 In.22 In.Lateral Surface Area =in SquaredTotal Surface Area =in SquaredVolume =in Cubed

Answers

Answer 1

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = [tex]\sqrt{1156-256}[/tex]

     = [tex]\sqrt{900}[/tex]

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                           = [tex]\frac{1}{2}(30)(16)[/tex]

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

34 In.16 In.22 In.Lateral Surface Area =in SquaredTotal Surface Area =in SquaredVolume =in Cubed

Related Questions

A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?

Answers

Answer:

1/10 gallon

Step-by-step explanation:

2/5 left of 1/4 gallon

2/5 x 1/4 = 2/20 = 1/10 gallon

Type the correct answer in the box.
2 units
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The area of the figure is
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The area of the figure is 80 units

Find x in each triangle! Will award brainliest

Answers

Answer:

First triangle x=9

Second triangle x=20

Step-by-step explanation:

Using Pythagorean theorem

40^2+x=41^2

1600+x^2=1681

-1600        -1600

x^2=81

To find x we do the opposite of powers and find the squared

x=9

Second triangle

21^2+x^2=29^2

441+x^2=841

-441        -441

x^2=400

x=20

1. Simplify the expression below.
2(x + 2) + 3(-x-7) -5 ( 2x - 4)

Answers

Answer: -11x+15

Step-by-step explanation: distributed property: 2x+2-3x-7-10x+20, -11x+15

A student records the repair cost for 17 randomly selected TVs. A sample mean of $73.10 and standard deviation of $16.01 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

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Answer:

49.34 i think

Step-by-step explanation:

Brendon is a ticketing clerk at a zoo. Which of the following is a statistical question that Brendon can be asked?
A. What is the price of the entry ticket for adults?
B. How many children visited the zoo last Sunday?
C. How many adults visited the zoo on Sundays?
D. What time does the zoo open?

Answers

Answer:

Letter A

Step-by-step explanation:

He is the ticket clerk so it makes sense people would ask about the ticket prices.

What is the slope of y = x + 5?

Answers

Answer: look at the picture and I can’t solve y for you.

Step-by-step explanation: Hope this help :D

The answer is 5 is very simple like 5-5 is 0 and add 5 and 0 and their 5

Write the equation of the line in SLOPE- INTERCEPT form:
1. (4, 2); slope 3
2. (3, -1); slope 4
3. (-4,-2), (4,0)

Answers

Answer:

Step-by-step explanation:

1) slope = m = 3

(4 , 2) ;  x₁ = 4 ; y₁ = 2

y - y₁ = m(x  - x₁)

y - 2 = 3(x - 4)

y - 2 = 3x - 4*3

y - 2 = 3x - 12

y  = 3x - 12 + 2

y = 3x - 10     {Slope -intercept form: y = mx + b}

3) (-4 , -2) , (4 , 0)

We have to find the slope

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]

m = 1/4  ; (4 , 0)

y - y₁ = m(x  - x₁)

[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]

Find the mean of these numbers: 8, 14, 32, 6, 15

the other answer choice is 75​

Answers

the answer is 15

explanation: add all the numbers and divide by the amount of numbers given

The mean of the given numbers is 15.

What is the mean?

The mean is the mathematical average of a group of integers.

The given numbers are 8, 14, 32, 6, and 15.

There are a total of 5 numbers.

The mean of the number is:

m = ( 8 + 14 + 32 + 6 + 15)/5

m = 15

Hence, the mean of the given numbers is 15.

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The eight subjects used for this comparison were not a random sample. In fact, they were friends of the researchers whose ages and weights were similar to the types of people who would be measured with this DXA. Comment on the appropriateness of this procedure for selecting a sample, and discuss any consequences regarding the interpretation of the significance testing and confidence interval results.

Answers

Answer:

The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

Step-by-step explanation:

When the subjects used for a research are not a random sample but friends whom share similar qualities/quantities related to the purpose of the experiment. The sample may be a representative of the future subjects, but the test results and confidence interval will not be reliable enough to be accepted as standard simply  because it was not a random sample

Hence the comment :The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

A girl with a height of 5 ft casts a shadow of 2 ft. What would be the height of a building that casts a shadow 50 ft long at the same time?​

Answers

Answer:The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet

Step-by-step explanation:

A satellite system consists of 4 components and can function if at least 2of them are working. If each component independently works with probability 0.8, what is the probability the system will function?

Answers

Answer:

X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.

Step-by-step explanation:

Hope this helps

Answer:

0.9728

Step-by-step explanation:

We have 2 options for the system to fail - no components work, or only one works.

The probability that no components work is:

[tex]0.2^4 = 0.0016[/tex]

The probability that one SPECIFIC component works and the others failed is:

[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]

And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:

[tex]4 \cdot 0.0064 = 0.0256[/tex]

So we sum the probabilities:

[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]

what is the definition of a vertex​

Answers

A vertex is a point where two lines or rays meet

Ian needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 593 spoons. There are currently 161 spoons. If each set on
sale contains 6 spoons, write and solve an inequality which can be used to determine
X, the number of sets of spoons Ian could buy for the restaurant to have enough
spoons

Answers

Answer:

72 sets

Step-by-step explanation:

(Easy way)

593 -161=432 spoons needed

432/6 =72 sets

(Harder way)

6= 1

432 =x

432 = 6x

x=72

Answer:

Inequality: 6x + 161 ≥ 593

Answer: x ≥ 72

Step-by-step explanation:

Have a good day :)

A rectangle measures 2 1/2 meters by 1 3/4 meters. What is its area?

Answers

Answer:

4 3/8

Step-by-step explanation:

1. We can use the formula

Area = L (length) x W (width)

2. The area is unknown so we can substitute it for a

  The length and width are both known, so we can plug them in.

a= 2 1/2 x 1 3/4

3. Solve by multiplying

a=4 3/8

Area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

What is rectangle?

Rectangle is a quadrilateral with four right angles

Area of the rectangle = Length × Width

Length of the rectangle = [tex]2\frac{1}{2} =\frac{5}{2}[/tex]

Width of the rectangle = [tex]1\frac{3}{4}=\frac{7}{4}[/tex]

Area of the rectangle = [tex](\frac{5}{2}).(\frac{7}{4})=\frac{35}{8}=4\frac{3}{8}[/tex] meter square

Hence, the area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square

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This is hard please help

Answers

Answer:

SA = 208 in²

Step-by-step explanation:

SA = 2(2)(7) + 2(2)(10) + 2(10)(7) = 208 in²

Answer:

208 in^2

Step-by-step explanation:

SA: 2(w · l + h · l + h · w)       formula

SA: 2(2 · 7 + 10 · 7 + 10 · 2)      plug the numbers in- w: width, l: length, h: height

SA: 2(14 + 70 + 20)          find area of 3 sides with different areas

SA: 28 + 140 + 40       doubling

SA: 208       final answer

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20,10,5

Answers

Answer:

arithmetic, divide by 2

Step-by-step explanation:

Answer:

This is a geometric sequence and the common ratio is equal to 1/2

Help urgent!! I’ll give branliest

Answers

Answer:

8.81

Step-by-step explanation:

Answer:

18.01 tak   myśle

Help me I need help this is due today

Answers

the answer is C

there are 2 bars so you divide 2 by 1/8 to see how many eights there are

2 / 1/8 = 16

What two fractions have a sum of 3/5

Answers

Answer:

2/5+1/5=3/5

Step-by-step explanation:

What I think ur trting to say; Noah is thinking of two fractions that have the same sum of 3/5. Each fraction has a numerator of 1. What are the denimonitors of the fractions? Enter your answers in the box

answer

2 and 10

The perimeter of the base of a right square pyramid is 32 cm. The height of the pyramid is 8 cm. What is the volume of the pyramid?

Answers

The formula is V = 0.5 X b X a X h.
Plug in numbers X is a multiplication sign

Which is the equation of a line perpendiculat to the line with the equation 3x + 4y = 7?

Answers

Answer:

What do you need to know?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample mean is a statistic. True or false​

Answers

Answer:

true

Step-by-step explanation:

PLS HELP TIMEDDDDDD I NEED HELP

Answers

Answer:

Option 3:  81 pi cu. in

Step-by-step explanation:

The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.

The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________

Answers

9514 1404 393

Answer:

x(x+2) = 637, 9-9, -7

Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

  x(x +2) = 63

__

The equation can be rewritten as ...

  (x +1)² = 64

  x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.

Solve the system of equations by graphing. Look at the picture. Will Mark Brainliest​

Answers

Answer:

See below

Step-by-step explanation:

Graphing:

we are given two functions

[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]

where f(x) is a linear function and g(x) is a quadratic function

we want to figure out the solutions of the function

let's graph f(x):

the Black-table is attached

let's graph g(x):

the picture is attached

hence, the graph should be

the graph is attached

solutions stating:

so we need solution(s) which satisfy(ies) the both functions

in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)

hence,

x={-1,3}

Which choice is equivalent to the quotient below? ​

Answers

Hopes this helps:

Answer: B. 4

Pls help with this asap

Answers

The answer is A and D

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 18

Explanation: 18 times 2.5 is 45. 45 +18=63

Answer:

the answer would be 25 because to get the answer you would take 63 and divide it by 2.5 and you will get 25.2 then rounding it to the nearest 10th would be 25

then after you get 25 you would put it into the equation 2.5(x) = 63 which would be 2.5(25)=63. that it y 25 would be the correct answer.

Hope this helped

What is the sum of 50.249 + 21.3

Answers

Answer:

71.549

Step-by-step explanation:

Answer:

The sum of 50.249 + 21.3 is 71.549.

Step-by-step explanation:

50.249 + 21.3 can be written as (50 + 20) + (0 + 1) + (0.2 + 0.3) + 0.049, which makes calculating the sum easier. 50 + 20 = 70, 0 + 1 = 1, 0.2 + 0.3 = 0.5, and you still have a 0.049. Add the numbers all together and you'll get that the sum of 50.249 and 21.3 is 70 + 1 + 0.5 + 0.049 or 71.549.

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