What is the surface area of the triangular prism shown?

What Is The Surface Area Of The Triangular Prism Shown?

Answers

Answer 1

9514 1404 393

Answer:

  (b)  976 m³

Step-by-step explanation:

The total surface area is the sum of the areas of the faces and bases.

The two bases are triangles, each with area ...

  A = 1/2bh

So, the two of them together will have an area of ...

  A = 2(1/2)bh = bh

where b is the base of the triangle, and h is its height. These values are shown as 14 m and 24 m, respectively.

  Total base areas = (14 m)(24 m) = 336 m²

__

The total area of the rectangular faces is the sum of products of length and width. The width of each face is the same as the height of the prism, and the sum of face lengths is the perimeter of the triangular base.

The prism height is 10 m, and the perimeter of the base triangle is  (14 m +25 m +25 m) = 64 m. Then the lateral area of the prism is ...

  Total lateral area = (10 m)(64 m) = 640 m²

So, the total surface area of the prism is ...

  base area + lateral area = 336 m² + 640 m² = 976 m²


Related Questions


Carmel is watching a play at the theatre.
The play started at 16 30
The play is 115 minutes long.
When the play ends, Carmel takes 30 minutes to get to the bus stop.
A bus leaves the bus stop at 18 45
Does Carmel get to the bus stop in time to get this bus?
You must show all your working.

Need help

Answers

Step-by-step explanation:

play started 16:30

its 115 min long = 1:55 hours

16:30+ 1:55=18:25 hours

now he takes 30 min to reach bus stop

18:25 + 30 mins = 18:55

therefore, he reaches the bus stop 10 mins late

What number is rational, less than 0, greater than -4 but is not an integer?

Answers

-1 is your answer

hope it helps :-) .

Emilio is drawing a graph that shows the weight of a baby elephant during the first 6 months of its life. What is the meaning of the point shown on the graph?

Ruby's Weight
A graph has age (months) on the x-axis, and weight (pounds) on the y-axis. A point is at (1, 80).

Answers

Using the function concept, it is found that the meaning of the point is that the weight of the elephant during the first month is of 80 pounds.

What is a function?

In a function, represented by a set of ordered points (x,y), one value of the input x can be related to only one value of the output y.

In this problem, x is the age in months, while y is the weight in pounds, hence the meaning of point (1,80) is that the weight of the elephant during the first month is of 80 pounds.

More can be learned about the function concept at https://brainly.com/question/12463448

which shapes have 2 obtuse angles? choose

Answers

Answer:

a trapizoid has 2 obtuse angles

Step-by-step explanation:

Evaluate the expression when b= 3 and x= -3
B-5x

Answers

Answer:

3-5(-3)

3 minus -15

-12

Step-by-step explanation:

Question 2 (2 points)
Find the indicated limit, if it exists. (2 points)

1) 0
2) 8
3) 3
4) The limit does not exist.

Answers

Answer:

4) The limit does not exist.

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit:                                                                                             [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit:                                                                                               [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

*Note:

For a limit to exist, the right-side and left-side limits must be equal to each other.

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}[/tex]

Step 2: Find Left-Side Limit

Substitute in function [Left-Side Limit]:                                                       [tex]\displaystyle \lim_{x \to 5^-} 5 - x[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                          [tex]\displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0[/tex]

Step 2: Find Left-Side Limit

Substitute in function [Right-Side Limit]:                                                     [tex]\displaystyle \lim_{x \to 5^+} x + 3[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8[/tex]

∴ since  [tex]\displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)[/tex]  ,  [tex]\displaystyle \lim_{x \to 5} f(x) = \text{DNE}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

PLEASE HELP ME! Tysm <3 Have a Wonderful Day. The image is below.

Answers

Answer:

All apply

Step-by-step explanation:

its asking which aboslute value is less than the absolute value of 14

when you substitute each one it becomes

12<14

0<14

5<14

all make true statements

Find the value of X

Answers

here we would use sohcahtoa

or toa which us tan is opposite over adjacent

use the equation

tan23 = x \ 6

the answer is 2.6 is to the tenths or 2.56 if to the hundredths

2) State the coordinate pair for the point (3,-4) and in which quadrant it lies.

Answers

Answer:

True

Step-by-step explanation:

The point with coordinates (-3,4) is located in quadrant II. The point with coordinates (-4,0) is located on the x-axis.

the answer to this question is true

What is the equation of the line that passes through the point (-6, -2) and has a
slope of -1/6?

Answers

Answer:

y=-1/6x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/6(x-(-6))

y+2=-1/6(x+6)

y=-1/6x-6/6-2

y=-1/6x-1-2

y=-1/6x-3

I have a mixing bowl that holds 4 liters of liquid. It's not quite big enough for all my cooking needs, so I find the exact same mixing bowl on Amazon that is just twice the size of the bowl I have. How many liters of liquid can the bigger mixing bowl hold?

Answers

Answer:

8 liters

4x2=8

Step-by-step explanation:

wild touring the city Bernie buys lunch for his family from a food truck he purchase more Taco for 2.75 and four cheeseburgers if he spent a total of 23.75 how much was each cheeseburger​

Answers

Answer:

Each cheeseburger was $5.25.

Step-by-step explanation:

He purchased:

A taco for $2.75.

Four cheeseburgers, each for x.

In total, he spent $23.75.

How much was each cheeseburger​?

This is the value of x. We have that:

[tex]2.75 + 4x = 23.75[/tex]

[tex]4x = 21[/tex]

[tex]x = \frac{21}{4}[/tex]

[tex]x = 5.25[/tex]

Each cheeseburger was $5.25.

What is true about the slope of the line graphed?
EO
A. The slope is positive.
B. The slope is negative
C. The slope is zero.
D. The slope cannot be determined.

Answers

Answer:

B, slope is negative

Step-by-step explanation:

if the line, starting from left, goes down then the slope is negative

The probability of winning a game is 20% how many times should you expect to win if you play 36 times

Answers

4 times i had this question

A reproductive clinic had a success rate of 25% of patients with live births in 2008. They want to update their success rate (the proportion of live births) for 2020. If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval? Round your answer up to the nearest integer.

Answers

Answer:

They should sample the results of 1990 patient results.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A reproductive clinic had a success rate of 25% of patients with live births in 2008.

This means that [tex]\pi = 0.25[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval?

They should sample n patients.

n is found for [tex]M = 0.025[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.025 = 2.575\sqrt{\frac{0.25*0.75}{n}}[/tex]

[tex]0.025\sqrt{n} = 2.575\sqrt{0.25*0.75}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.025}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.25*0.75}}{0.025})^2[/tex]

[tex]n = 1989.2[/tex]

Rounding up:

They should sample the results of 1990 patient results.

1. True or false:


The ordered pair (3, 4) is a solution for the equation:

5x + 2y = 23

2. True or false:


The ordered pair (0, 4) is a solution for the equation:

5x + 2y = 23

Answers

1) true

2)false

Step-by-step explanation:

1) 5(3)+2(4) = 23

= 15+8=23

23=23

thus, (3,4) is solution for 5x + 2y = 23

2) 5(0)+2(4) =23

= 0+8 is not 23

thus, (0,4) is not solution for 5x + 2y = 23

Which angles are adjacent to DFE?
Select all that apply.

Answers

9514 1404 393

Answer:

  (c)  ∠BFD

Step-by-step explanation:

Angle DFE is created from rays FD and FE. An adjacent angle will have one of those rays as one of its sides. Of the offered choices, only ∠BFD includes one of those two rays as one of its sides.

Solving steps for 2x + 14 = 34 ? I know the answer but it's asking me to label the steps

Answers

Answer:

2x+14=34

Step-by-step explanation:

Subtract 14 from both sides

2x=20

Divide by 2 on both sides

Hope this helps :)

wallet #1 has 5 $100 bills and 10 $20 bills.

Answers

The total amount you have is $700 because 5 x 100 = 500 + 10 x 20 = 200

Answer:

Wallet #1 = $500 and Wallet #2 = $200

Step-by-step explanation:

I dont know if that was the answer you were looking for?

sorry if its not... :(

I need help ss is below

Answers

Answer:

9± √3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u!!

What is the distance from -2 to 0?
O A. 2, because |-2| = 2
ОВ.
1
2
because 1-2) =
2
O c. 2, because 1-21 = -2
D. -2, because |-2| = -2

Answers

Answer:

A. 2, because -2=2 2+-2=0 if that makes sense

Gabriel earns $146.25 for working 15 hours. Maria earns $205.00 for working 20 hours. Who earns the most money per hour and how much more?

Please help have to turn in tomorrow
you get 15 points!!!!

Answers

Answer: Maria makes $0.50 more per hour

Step-by-step explanation: Doing $146.25/15 and $205/20 you can find that Gabriel makes $9.75/hr and Maria makes $10.25/hr

Answer: Maria makes more, 50 cents more per hour.

Step-by-step explanation:

To solve divide the number of money they made by the amount of hours they worked. 146.25/15=9.75. Gabriel made 9.75 an hour,

205/20=10.25 Maria made 10.25 an hour.

Maria earned the most money per hour.

To find how much more she made subtract the person who made more money by the person who made less money per hour. 10.25-9.75=0.5 Maria earned an extra 50 cents per hour compared to Gabriel.


What fraction is equivalent to. —-
0.45?

Answers

Answer:

E. 9/20

Step-by-step explanation:

0.45=45/100=9/20

Answer:

E. 9/20

Step-by-step explanation:

0.45= 45/100

45/100 divided by 5 is 9/20

please help me :(
Picture is below:)
These are the answer choices:
A. 12/13
B. 12/5
C. 13/5
D. 5/13​

Answers

Answer: A) 12/13

Step-by-step explanation: Tangent is simply just opposite/adjacent. The opposite side of angle x is 12, and the hypotenuse is 13, so your answer is 12/13 :)

Carmen cut a 12 meter piece of cloth into three pieces. The first two pieces were each
3 meters long. What was the length of the other piece?

Answers

Answer:

6 Meters long

Step-by-step explanation:

3+3=6

12-6=6

3) If the chocolate inside the package is 335954.96 mm, how much empty volume/space is inside the
container? Show all work and give answers to 2 decimal places

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP I DONT GET THIS AT ALL I BEG U! helppp!! pleaseeee!!

Answers

Gurllll I got chuuu go to mathaway and then tap true or false. I promise it works

what is the answer please? show step by step

Answers

Answer:

D

Step-by-step explanation:

f(x-3) = (x-3)^2 - 8

f(x-3) = (x-3)(x-3) - 8

f(x-3) = x^2 - 6x + 9 - 8

f(x-3) = x^2 - 6x + 1

Help, can anyone help? I’ve been stuck on this question :( I’ll make sure to give Brainly.

Answers

Answer:

1,524

Step-by-step explanation:

2,000 x 2%= 40

6,999 x 5%=349.95

20,999 x 5.4% = 1,133.95

40+349.95+1133.95=1,523.90

Find x if (2.5)^x-3 = (0.4)^6+x​

Answers

Answer:

2.5x=x+3.004096

Sorry, I don't know how to solve this equation.

Step-by-step explanation:

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