A right prism is shown below.


What is the surface area of the right prism?


Question options:


290 in2



420 in2



520 in2



2940 in2

A Right Prism Is Shown Below.What Is The Surface Area Of The Right Prism?Question Options:290 In2420

Answers

Answer 1

Answer:

290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290

Answer 2

Answer:

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

Step by step explanation:

Given:

height of prism h = 10 in

length of base of triangle b = 8 in

height of triangle h' = 15in

side A of triangle = 17 in

To find:

Surface area of prism = ?

Solution:

[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}

[/tex]

[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]

[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

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Related Questions

What is the cube of 6?

A. 216
B. 42
C. 36
D. 18

Answers

Answer:

A

Step-by-step explanation:

Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216

5,5/2,5/4 find the ninth term

Answers

Answer:

T9 = 5/256

Step-by-step explanation:

This is a geometric progression

You can tell it by looking at the pattern of the progression whether each term +- or ×÷.

From the question,

First term, a = 5

Common ratio, r = (5/2)/5 = ½

n = 9

Using the formula for nth term of a geometric progression,

[tex] t_{n} = a {r}^{n - 1} [/tex]

T9 = 5(½)^(9-1)

= 5/256

What is the value of x if x * x + 2x - 35 = 0?

Answers

Answer:

x=5 or -7

step by step:

x2+2x−35=0

Step 1: Factor the left side of the equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Answer:

Your X value would equal to:
5 or -7




(images attached below show a step by step explanation)

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

PLS HURRY AND TY!!!

Write eight and three hundred twenty-four thousandths in standard form.​

Answers

Answer:

0.324 inch

Step-by-step explanation:

When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..

Please help! No links no files :(

Answers

Answer:

Step-by-step explanation:

Area of a triangle:

base = 4 units

height = 3 units

[tex]\boxed{\text{Area of triangle = $\dfrac{1}{2}*base*height$}}[/tex]

                           [tex]\sf = \dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square \ units[/tex]

Solve for x:
A. 37
B. 19.25
C. 10.375
D. 41

(4x-6)
71

Answers

Answer:

Answer = B.19.25

Step-by-step explanation:

(4x-6)=71

4x=71+6

4x=77

x=77÷4

x=19.25

write a word phrase that means the samme as x/4

Answers

A number x divided by four

How much will you lose

Answers

Answer:

i don't know how much will l loose

9. The value of U.S. postage stamps increases ~5% per year. The current price is 55C. Estimate what the price will be in 20 years​

Answers

Answer:

$1.46

Step-by-step explanation:

We can use the principal of compound interest to solve this with the formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

where P = initial principal

r = interest rate

n = number of times applied per time period

t = time periods elapsed

In this specific case, P = 0.55, r = 0.05, n = 1, and t =20

[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]

1/secA+tanA = 1-sinA/cosA

Answers

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.


Choose the system of equations that best represents the situation below:
The sum of two numbers is 25 choose the system that best represents the situation below and their difference is 7. Find the two numbers.
A. x + y = 18

B.x + y = 25
2 + y = 7

C. x - y = 25
2 - y = 7

D. x+y= 25
x - y = 7

Answers

Answer: x = 16, y = 9

D. x + y = 25

x - y = 7

Step-by-step explanation:

        Let x be a number and y be another. First, I will write the problem out using equations. Then I can solve by graphing, see attached. Their point of intersection is the answer, x = 16 and y = 9.

    The sum of two numbers is 25

x + y = 25

    Their difference is 7

x - y = 7

          D. x + y = 25

          x - y = 7

[tex]4x^{3} + x8x^{2}[/tex]
Evaluate

Answers

Answer:

12x^3

Step-by-step explanation:

they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3

just add them and you're set

Simplify 4 - 2m + 4m +1​

Answers

Answer: 2m+5

Step-by-step explanation:

4−2m+4m+1

Combine −2m and 4m to get 2m.

4+2m+1

Add 4 and 1 to get 5.

5+2m

Answer: 2m + 5

Step-by-step explanation:

Just do:

4 - 2m = 2m4m + 1 = 5

So, 2m + 5

Question below! :)
Brainliest!

Answers

The angle shown is less than 90 degrees so it is an acute angle.


answer: acute

Acute angel is the Ana

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

Definition of Pythagorean Theorem: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides

     (look at the diagram attached for a better understanding)

Information Given:

length of the two legs: 5, 9

Information Wanted:

length of hypotenuse

Solve:

   [tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

How long does this lease last?

Answers

Im not sure what the question is. What lease?

Scrooge Mc duck has $16 in savings at the beginning of a month she then decides to save a dollars every week write an inequality in its simplest terms that represents the solution describing how many weeks it takes Scrooge to accumulate at least $120

Answers

Answer:

120 <= 16+(w*d)

108<=d*w

Step-by-step explanation:

let w = weeks and d = dollars saved per week

5 7
What is the slope of the equation Y=74-7?
=
O -7
o -
O
O 5

Answers

Hey there!

y = 74 - 7

START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value

y = 67


Therefore, your answer is: y = 67


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

how to solve (4s - 5t)²​

Answers

Answer:

Step-by-step explanation:

I need help on this image below

Answers

Answer: 70 degrees

Step-by-step explanation:

The radius of a circle is 12.7 ft. Find the circumference
to

the

nearest

tenth
to the nearest tenth.

Answers

Answer:

79.8

Step-by-step explanation:

What are two transformation that will produce a figure that is congruent to the original figure?​

Answers

Answer: Translation, reflection, rotation

Step-by-step explanation:

HELP PLEASEE !!! Only correct answers and please no links


An experiment consists of rolling a die and then flipping a coin.


The following tree diagram shows the possible outcomes.



A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.


© 2018 StrongMind. Created using GeoGebra.



What is the probability of rolling an even number or flipping a tail?


Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

Both are 1/2

Step-by-step explanation:

Count just the tails, that's the numerator

Count all the heads and tails, that's the denominator.

And for the 2nd fraction:

Count just the evens, that's the numerator

Count all the even and odd numbers, that's the denominator.

Answer: The answer to this question is 3/4

Step-by-step explanation:

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by: p=9/12=3/4

Find the length of the third side. If necessary, round to the nearest tenth

Pythagorean Theorem (Rounding)

Answers

Answer:

It's 3.5

(from the answer 3.464101615)

Hope this helps!

2^2 + x^2 = 4^2
4 + x^2 = 16
-4 -4
√ X^2 = √ 12
X = √ 4 and √ 3
X = 2 √ 3
X = 3.46

At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.

What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?

Answers

The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37

What is ratio?

Ratio is a term that is used to compare two or more numbers.

Therefore,

At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,

The Junior population at 2:00 pm is as follows;

12 pm to 2pm is 120 minutes

Then, 120 / 15 = 8

20 × 8 = 160 students

The junior student increased by 120 by 2pm.

The Senior population at 2:00 pm is as follows;

45 × 8 = 360 students

360 senior student left by 2 pm.

Therefore,

Junior student by 2pm = 700 + 160 = 860 students

Senior student by 2 pm  = 110 - 360 = 740 students

The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37

learn more on ratio here: https://brainly.com/question/20331008

Multiplying a number by 3 is equal to sum of the number and 5.

Answers

Answer:

this makes no sense

Step-by-step explanation:

The number that when multiplied by 3, equals the sum of the number and 5 is 2.5.

How can we solve for 2.5?

First assume that the number we are looking for is x.

One side of the equation will be:

= 3 × x

= 3x

The other side of the equation would be:

= 5 + x

Equating these numbers gives:

3x = 5+ x

3x - x = 5

2x = 5

x = 5/ 2

x = 2.5

In conclusion, the number is 2.5.

Find out more on operations involving solving for numbers at https://brainly.com/question/18897826.

Can someone please help me? :(

Answers

Answer:

A

Step-by-step explanation:

4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3

An angle measures 12.8° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

180 angles usually up and down from each other

Step-by-step explanation:

85.2

94.8

John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?

(x + 4)^2 = - 4
(x+2)^2 = - 4
(x+4)^2 = - 8
(x + 2)^2 = - 8

Answers

Answer:

[tex](x + 2) ^{2} = - 8[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4[/tex]

A figure was moved 5 units to the right, then a
mirror image was made. Which transformations were used? Rotation, dilation, reflection, translation

Answers

Answer:

Step-by-step explanation:

First a translation then a reflection.

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