surface area of this right prism

Surface Area Of This Right Prism

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textsf{Let's calculate the surface area of given right prism} [/tex]

[tex] \textbf{Area of Triangles :} [/tex]

[tex] \sf{\dfrac{1}{2}\cdot 16\cdot 12} [/tex]

[tex] \sf{8×12} [/tex]

[tex] \sf96 \: \: cm {}^{2} [/tex]

[tex] \textsf{Since there are two triangles, } [/tex]

[tex] \textsf{Area of Triangles = 96 × 2 = 192 cm²} [/tex]

[tex] \textbf{Now, calculate the Areas of rectangles :} [/tex]

[tex] \textsf{Area - 1 = 12 × 10 = 120 cm²} [/tex]

[tex] \textsf{Area - 2 = 16 × 10 = 160 cm²} [/tex]

[tex] \textsf{Area - 3 = 20 × 10 = 200 cm²} [/tex]

[tex] \textsf{Now add them all :} [/tex]

[tex] \textsf{120 + 160 + 200 + 192} [/tex]

[tex] \textsf{672 cm²} [/tex]

Answer 2

Answer:

Step-by-step explanation:

(16+12+20)*10+16*12= 48*10+192+480+192=672 c.m. squared


Related Questions

which is greater - 3/4 or - 5/6 ​

Answers

Answer:

-3/4

Step-by-step explanation:

see picture below

Answer:

[tex]-3/4~ > -5/6[/tex]

Step-by-step explanation:

Using the given inputs

[tex]3/4~and~5/6[/tex]

The least common denominator (LCD) is 12.

Rewriting as equivalent fractions with the LCD:

[tex]-\frac{3}{4} ~becomes-\frac{9}{12}[/tex]

And

[tex]-\frac{5}{6}~becomes-\frac{10}{12}[/tex]

Comparing the numerators of the equivalent fractions we have

[tex]-9/12 > -10/12[/tex]

Therefore,  the comparison shows:

[tex]-3/4~ > -5/6[/tex]

Hope this Helps! :3

have a great day! :3

Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces.

V-5= 3(x+1)

Answers

Answer:

V=3x+6

Step-by-step explanation:

slope intercept form: y=mx+b

V-5=3(x+1)

[open parentheses]

V-5=3x+1

[combine like terms; add 5 to both sides]

V=3x+6

why is it v tho

A car travels at 30 1/5 miles in 2/3 of an hour. What is the average speed, in miles per hour

Answers

Answer:

45.3 miles/h

Step-by-step explanation:

The answer is 45.3 miles/h

ANSWER:

45 3/10 mph

decimal form: 45.3 mph

Step-by-step explanation:

30 1/5 /2 = 15 1/10

15 1/10 x 3 = 45 3/10 mph

So hence, your answer is 45 3/10 mph. In decimal format, it can be 45.3

a department store has guft boxes that are 20 inches long, 12 1/2 inches wide, and 5 1/2 inches high what is the volume

Answers

In order to find the volume you need to do Length x Width x Height.

So the
L= 20. You can turn 20 to 20/1 and
W=12 1/2. multiply it by the W and the
H= 5 1/5

Or you can do 20 x 12.5 x 5.5.

The answer is 1,375.

em sa
1.
She bikes at a constant speed of 13 miles per hour for
the entire 20 minutes.
Hint 20 minutes is what fraction of an hour? Look back
at the answer to problem 4.

Answers

Answer:

4.33 miles

Step-by-step explanation:

20 minutes=1/3 of an hour

because 1 hour=60minutes

so 20/60 = 1/3

for your answer

13× 1/3=4.33

therefore she was able to bike 4.33 miles in 20 minutes at a constant speed

The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines s r and s u is 78 degrees. the space between lines s u and s t is 3 x minus 12. what is manglerst in degrees? 78° 84° 120° 156°

Answers

Answer:

  ∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

  ∠RSU +∠UST = ∠RST

__

  78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

  54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

  108 = 6x . . . . . . . . . . . multiply by 2

  120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

Additional comment

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

Work out x 3
Give your answer in its simplest form.
1
1
4
4
4

Answers

Answer:

3/4

Step-by-step explanation:

Hey there!

When multiplying fractions, there is no need to make the denominators the same like how you do when adding fractions

So we can just straight multiply the numerators and the denominators together

[tex]\frac{1}{4}*\frac{3}{1}[/tex]

I made 3 to 3/1 so the multiplying process is easier

3 x 1 is 3 and 4 x 1 is 4

The numerator is 3

The denominator is 4

3/4

So 1/4 x 3 is 3/4

Find the radius of the circle given by this equation:

Answers

Answer:

8

Step-by-step explanation:

We know that

Equation

[tex] {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0[/tex]

Represents the equation of Circle

where

[tex]radius = \sqrt{ {g}^{2} + {f}^{2} - c } [/tex]

On comparing the given equation with general Equation of Circle

we get

[tex]g = - 5[/tex]

[tex]f = 3[/tex]

[tex]c = - 30[/tex]

On substituting these values We get

[tex]radius = \sqrt{ { (- 5)}^{2} + {3}^{2} - ( - 30) } [/tex]

[tex]radius = \sqrt{25 + 9 + 30 } = \sqrt{64 } = 8[/tex]

[tex]radius = 8[/tex]

The difference of two numbers is 3. Their sum is 13. Find the numbers.

Answers

Answer:

10 and 3

Ten and three have a difference of three, and their sum is thirteen, with that being said, this should be correct.

What is the solution to the system of equations below?
(Hint: Solve using substitution!)

−5x−y=5
x=7y−1
​(

Answers

Answer:

x = -1, y = 0 or (-1, 0)

Step-by-step explanation:

We have two equations :

-5x - y = 5x = 7y - 1

Take the value of x in Equation 2 and substitute in Equation 1.

-5(7y - 1) - y = 5-35y + 5 - y = 5-36y = 0y = 0

Now, take the value of y and substitute in Equation 2.

x = 7(0) - 1x = -1

Solution

x = -1, y = 0 or (-1, 0)

Answer:

The lines intersect at the point (-1, 0)

Step-by-step explanation:

−5(      )−y=5

-5(7y-1) - y = 5    substitute the x=7y-1 into first equation

-35y + 5 - y =5   multiply -5

-36y + 5 = 5        combine like terms

-36y = 0              subtract 5

y=0                      divide by -36

x=7(0)-1                substitute 0 for y in x=7(  )-1

  =-1                      simplify

The lines intersect at the point (-1, 0)

the base of the rectangular prism is shaded what is the lateral surface area ( show work pls )

Answers

Height=H=4.5Length=L=11Bresdth=B=3

LSA

2×H(L+B)2(4.5)(11+3)9(14)126ft²

The ratio of men to women working for a company is 5 to 4. If there are 234 employees total, how many women work for the company?

Answers

Answer:

104

Step-by-step explanation:

5 to 4 equals 9

divide 234 by 9 and you get 26

26 times 5 is 130

and 26 times 4 is 104

so 130 to 104 adding up gives you 234

and the number of women employees would be 104

is it true or false?

Answers

Answer:

True

Step-by-step explanation:

plug in numbers

4(-3)+15=3

-12+15=3

-3+15=12

100 POINTS


Solve the following inequality, if it is known that function f is increasing on its domain. f(4x-3)[tex]\geq[/tex]f(2-[tex]x^{2}[/tex]), D_f = (-8, 4)

Answers

This solution is arrived at using the principles of Quadratic Functions and Inequalities. It is to be noted that the function increases at (-8, 4).

What are Quadratic Functions?

A quadratic function can be defined as that is written in the following way: f(x) = ax2 + bx + c: Where a, b, and c are numbers not equal to zero.

How do we solve the problem above?

To solve the problem f(4x - 3) ≥ f(2 - x^2), Df = (-8 , 4), we:

RewriteCollect like termsExpandFactorize, thenSolve for x.

A) 4x - 3 ≥ 2 - x²

Rewrite as:  x² + 4x - 2 - 3 ≥ 0

B) Collect the like terms

x² + 4x - 5 ≥ 0

C) Expand to have  x² + 5x - x - 5 ≥ 0

D) Factorizing the expression we have

x(x + 5) - 1(x + 5) ≥ 0, from this we  Factor away x + 5

(x - 1)(x + 5) ≥ 0

E) Solving  for x we obtain: x ≥ 1 or x ≥ -5

This can also be rewritten to read:

-5 ≤ x ≤ 1

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The net below shows a square pyramid. What is the lateral surface area?
A. 176 in^2
B. 112 in^2
C. 64 in^2
D. 210 in^2

Answers

Answer: B

Step-by-step explanation:

1/2 8 *7 = 28

because there is 4 triangles you do this 28+28+28+28

28+28+28+28 = 112

The lateral surface area of the pyramid is 112 sq. in.

The correct answer is an option (B)

From the attached figure of the net of a square pyramid, we can observe that the side length of the square base is 8 in and height of the lateral triangular face is 7 in.

Hence, The lateral surface area of the pyramid is equal to the area of the four triangular faces of the pyramid.

Using the formula of the area of triangle, the lateral surface area would be,

A = 4 × (1/2 × base × height)

A = 4 × (1/2 × 8 × 7)

A = 4 × (4 × 7)

A = 4 × 28

A = 112 sq. in.

Thus, This is the required lateral surface area.

So, The correct answer is an option (B) 112 in²

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Step 1: –10 8x < 6x – 4 step 2: –10 < –2x – 4 step 3: –6 < –2x step 4: ________ what is the final step in solving the inequality –2(5 – 4x) < 6x – 4? x < –3 x > –3 x < 3 x > 3

Answers

The final step of the inequality equation –10 + 8x < 6x – 4 is x > 3. Then the correct option is D.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The inequality equation is given below.

–10 + 8x < 6x – 4

This can be simplified as

–10 + 8x < 6x – 4

       –10 < –2x – 4

        –6 < –2x

        –3 < –x

          x > 3

More about the inequality link is given below.

https://brainly.com/question/19491153

Mr. Hollins determines that he gives away $800 each month. If he gives away 16% of his budget, then how much is his overall budget

Answers

Answer:

5000 dollars

Step-by-step explanation:

Let his budget be x

16% of x is 800 dollars

.16 * x = 800

Divide each side by .16

.16x/.16 = 800/.16

x=5000

His budget is 5000 dollars

What is the diameter of a sphere with a volume of 397\text{ m}^3,397 m
3
, to the nearest tenth of a meter?

REsponse: 9.1

Answers

The awnser dir this problem is 91.

10. Enter the value of p so that the expression 8(n + 2) is equivalent to (n + p)8​

Answers

Answer:

p=2

Step-by-step explanation:

8n + 16 = 8n + 8p

subtract 8n

16=8p

divide both sides by 8

p = 2

To find the value of p that sets the expression equal to each other:

  ⇒ must set both equations equal to each other, like such:

            [tex]8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2[/tex]

Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8​ is 2

Answer: 2

Hope that helps!

Use a table to multiply (-3a2)(a - b).

Answers

Answer:

-3a³ + 3ba²

Step-by-step explanation:

1) Distribute

-3a² (a-b)

-3a³ + 3ba²

Which of the following is an example of a linear system of equations?


5
x
2
+
6
y
=
13


6
x

12
y
=
14


5
x
+
6
y
=
13


6
x

12
y
2
=
14


5
x
+
6
y
=
13


6
x
2

12
y
=
14


5
x
+
6
y
=
13

Answers

6

x

12

y

=

14

Yw :D pls mark me brainiest

what is the volume of the cone below

Answers

Volume of a Cone = [(pi)r^2(h)]:3 = [pi (16) (27)]:3 = 144pi units^3. [C.]

Answer:

Its C because the formula to find the volume of the cone is π x radius² x height / 3 and in this case the radius is 4 and the height is 27 so π x 27 x 4² which is 452.16 and 144 x π is 452.16

Step-by-step explanation:

Please mark as brainliest

Find the missing value.
(√24-√k)(√24+√k)=5

Answers

Answer:

k = 19

Step-by-step explanation:

Identity

(a + b)(a - b) = a² - b²

Simplifying the LHS (Left Hand Side)

(√24-√k)(√24+√k)(√24)² - (√k)²24 - k

Equating to the RHS

24 - k = 5k = 24 - 5k = 19

Answer:

19

Step-by-step explanation:

[tex](\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )\\\\As,\\\\\hookrightarrow a^{2} -b^{2} =(a+b)(a-b)\\\\Subtitute:\\\\a=\sqrt{24} \\\\b=\sqrt{k} \\\\Now,\\\\\hookrightarrow (\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )=5\\\\\hookrightarrow (\sqrt{24} )^{2} -(\sqrt{k} )^{2} =5\\\\\hookrightarrow 24-k=5\\\\\hookrightarrow 24-5=k\\\\\hookrightarrow 19[/tex]

Mr. Sims bought 9 tickets to a puppet show and spent $57. He bought a combination of child tickets for $3 each and adult tickets for $9 each.
Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?

Answers

Answer:

x =number of child tickets

y=number of adult tickets

x + y = 9

3x +9y = 57

x = 9-y

3(9-y) + 9y =57

27 - 3y + 9y = 57

6y = 30

y=5 adult tickets

x = 4 child tickets

Answer:

adult's tickets a=5

child's tickets c=4

Step-by-step explanation:

a+c=9

9a+3c=57

c=9-a

3a+c=19

3a+9-c=19

2a=10

a=5

c=9-a=9-5=4

the time failures for an electronic component are exponentially distributed with a mean of 50 hours between consecutive failures. what is the probability that a randomly selected part will fail in less than 20 hours

Answers

Using the exponential distribution, it is found that there is a 0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.

Exponential distribution

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

In this problem, the mean and the decay parameter are, respectively, given by:

[tex]m = 50, \mu = \frac{1}{50} = 0.02[/tex].

The probability that a randomly selected part will fail in less than 20 hours is given by:

[tex]P(X \leq 20) = 1 - e^{-0.02 \times 20} = 0.3297[/tex]

0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.

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PLEASE CHOOSE CORRECT OPTION AND WITH EXPLANATION 25 POINTS

Answers

Answer:

d

Step-by-step explanation:

Answer: Choice C

Each point has been moved 2 spaces to the right and 5 units down.

Moving 2 spots to the right means x updates to x+2

Moving 5 units down tells us to change y to y-5

Therefore, [tex](x,y) \to (x+2, y-5)[/tex]

You decide that you are going to flip a coin, and a six sided die.
What is the probability of the following events?
Tails and an even number? (Round to two decimal places)
Tails and the number 9?
Heads or a number bigger than 4? (Round to two decimal places)
Heads or the number 2? (Round to two decimal places)

Answers

Probability helps us to know the chances of an event occurring. The probability of getting a tail and an even number is 0.25.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Since a coin has two faces, therefore, the probability of getting either of the sides of the coin is (1/2). While a die has six faces, so the probability of getting any side of the die is (1/6).

A.) The probability of getting a tail and an even number can be written as,

[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of Even Number(2,4,6) } = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

[tex]\text{Probability (Tails and an even number)} = \dfrac12 \times \dfrac12 = 0.25[/tex]


B.) The Probability of getting tails and the number 9 can be written as,

[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of Number 9} = \dfrac{0}{6} = 0[/tex]

[tex]\text{Probability of the tails and the number 9} = 0[/tex]

C.) The Probability of getting Heads or a number bigger than 4 can be written as,

[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of a number bigger than 4 (5,6) } = \dfrac{2}{6} = \dfrac{1}{3}[/tex]

[tex]\text{Probability (Heads or a number bigger than 4 )} = \dfrac12 + \dfrac13 = \dfrac{5}{6} = 0.83333[/tex]

D.) The Probability of getting Heads or the number 2 can be written as,

[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of the number 2} = \dfrac{1}{6}[/tex]

[tex]\text{Probability (Heads or the number 2 )} = \dfrac12 + \dfrac16 = \dfrac{8}{12} = 0.6666[/tex]

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hElp me I need help with this question

Answers

Answer:

Jackie divided the number of quarts by 2. There are 2 pints in each quart. She should have multiplied by 2; so Jackie made 20 pints of lemonade.

Can someone answer these 2 questions, thanks!

Answers

Answer:

1, answer ..

b, 50% because add this

40+10=50

Step-by-step explanation:

and 2nd one i dont know but i studied it i did not remember

A bicycle manufacturer wants to find out which features most cyclists prefer to have in the newest model of bicycles to be manufactured next year. What is the population from which the manufacturer should choose a sample?
A. Subscribers to a national bicycling magazine. B. Cyclists who purchased bicycles from this manufacturer before. C. Visitors to the manufacturer’s Web site. D. Members of a bicycling club.

Answers

Answer:

It's B

Step-by-step explanation:

I did the test

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