Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Answers

Answer 1

The number that indicates the extent of a region on a plane or a curved surface is known as area. The total surface area of this triangular prism is 1,782 cm².

What is the area?

The number that indicates the extent of a region on a plane or a curved surface is known as area. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas the area of an open surface or the border of a three-dimensional object is referred to as surface area.

The given figure has two rectangles and two triangles, therefore, the total surface area can be written as,

[tex]\rm Total\ Surface\ Area =\text{Surface area of rectangle1} + \text{Surface area of rectangle2} + (2 \times \text{Surface area of triangle})\\[/tex]

Substitute the dimensions we will get,

[tex]\rm Total\ Surface\ Area =( 25 \times 30)+ (24 \times 25) + (2 \times \dfrac12 \times 18 \times 24)[/tex]

[tex]\rm = 750+600+432\\\\=1,782\ cm^2[/tex]

Hence, the total surface area of this triangular prism is 1,782 cm².

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Related Questions

Which point is a point where the graph of [tex]y=(x-5)(x^2-7x+12)[/tex] crosses the x-axis?

Answers

Answer: C. (4, 0)

Step-by-step explanation:

We can graph the equation given to solve. See attached.

The answer to this question is C. (4, 0)

Please solve the following thank you so much math experts

Answers

Answer:

4) 97%

6) 13%

Step-by-step explanation:

4) We are given that 3% for 250 million are diesel.

100% - 3% = 97% NON DIESEL cars

97% of 250 million is 242.45 million.

______________________________

6) We know that 17% (buses) and 70% (cars) are part of that total.

We also know that the total needs to be 100%

So, we simply do this:

100 - (17+70) = 13 (%)

So, 13% of the survey participants had bikes

The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.

Answers

Answer:

540

Step-by-step explanation:

Answer:

533.3mph

Step-by-step explanation:

PLEASE HURRY!!!
A bag contains 4 red pencils, 6 blue pencils, and 5 green pencils. A pencil is randomly selected, its color is recorded, and it is returned to the bag. This is repeated 1350 times. How many times is it expected that a green pencil will be selected?
A. approximately 360 times
B. approximately 450 times
C. approximately 540 times
D. approximately 900 times

Answers

Answer:

450

Step-by-step explanation:

1. Based on the given conditions, formulate:

1350 x 5 ÷ (5 + 4 + 6)

2. Calculate

[tex]\frac{1350x5}{5 + 4 + 6}[/tex] The numerator is 1350 multiply by 5

[tex]\frac{6750}{5 + 4 + 6}[/tex]

Answer:

Step-by-step explanation:

The quotation mark is missing at the very end of the last quote right after:

I was faking.

Answer:

i think A

Step-by-step explanation:

The quotation mark is missing at the very end

What is the equation in standard
form of a circle with the
equation x^2+ y^2 + 14y – 1 = 0?

Answers

Answer:

(x-2)²+(y+7)² = 25

Step-by-step explanation:

The general standard form of an equation is written in expressed as shown;

(x-a)²+(y-b)² = r²

(a,b) is the centre of the circle and r is the radius

Given the equation of the circle x^2 + y^2 - 4x + 14y +28 =0, we need to find the centre of the circle and its radius.

comparing the equation given with x²+y²+2gx+2fy+c =0

(-g, -f) is the centre

radius = √g²+f²-c

On comparison,

2gx = - 4x

g = -4/2

g = -2

2fy = 14y

f = 14/2

f = 7

c = 28

r = √(-2)²+7²-28

r = √4+49-28

r = √25

r = 5

comparing centre (a,b) to (-g, -f)

a = -g = -(-2)

a = 2

b = -f = -7

b = -7

substituting the centre (a, b) and the radius r into the equation

(x-a)²+(y-b)² = r²

The required equation will be (x-2)²+(y+7)² = 5²

(x-2)²+(y+7)² = 25

What is the surface area?
5 mm
5 mm
5 mm
square millimeter

Answers

15mm squared. Simply add the sums of all faces on shape.

Which prism has a greater volume?

Answers

for A, the volume is 2 x 1 x 7 = 14
for B, the volume is 3 x 3 x 2 = 18

so B has a greater volume

please give brainliest! thanks, :D

What is the exact value of cos(-60°)?
V3
2
Ni-
을
V3
2

Answers

Applying the cosine ratio of trigonometry, the exact value of cos(-60°) which equals cos (π/3) is: C. 1/2.

What is the Cosine Ratio?

In trigonometry, the vaue of the cosine ratio is the cosine of the reference angle which equals the ratio of the adjcent side over the hypotenuse.

To get the exact value of cos(-60°), convert 60 to radians.

π radian = 180

60° = (π/3) radians

Note: cos (-θ) = cos θ

Therefore, cos (-π/3) = cos (π/3)

cos (π/3) = 1/2

The exact value of cos(-60°) = 1/2 (option C).

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A builder wants to install a triangular window with the angles shown in the illustration. What angles will he have to cut to make the window fit? (Hint: The sum of the angles in a triangle equals 180°.)
x° =
°
(x + 30)° =
°

Answers

Answer:

X=40°

Step-by-step explanation:

40+30=70

70+70=140

140+40=180

The angles will builder has to cut to make the window fit is 40°, 70° and 70°.

Given that, the measures of the three angles of a triangle are x°, (x+30)° and (x+30)°.

What is the angle sum property of a triangle?

The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.

Now, x°+(x+30)°+(x+30)°= 180°

⇒3x+60°=180°

⇒3x=180°-60°

⇒3x=120°

⇒x=40°

So, x°=40°, (x+30)°= 70°

Therefore, the angles will builder has to cut to make the window fit is 40°, 70° and 70°.

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pls help i need an A

Answers

the answer is D. 6x+3

Can someone please show step by step to this problem? Find the area of the following figure.

Answers

Answer:

20 x 12=240

Step-by-step explanation:

Pythagorean Theorem

solve for the missing side . Round to the nearest 10th

I NEED HELP ASAP I WILL MARK BRAINLIEST IF ANSWERED CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD

Answers

Answer:

\sqrt{45}

Step-by-step explanation:

A^2+B^2=C^2

36+?=81

81-36=45

[tex]\sqrt{45}[/tex]=

Answer:

6.7 mm

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

Here, we are missing one of the altitudes, so we can arrange the equation to form :

a² = c² - b²

Solving

UW² = VW² - UV²UW² = (9)² - (6)²UW² = 81 - 36UW² = 45UW = √45UW = 6.7 mm

What is x?

ONLY WRITE A NUMBER FOR YOUR ANSWER

If you need to round, round to the nearest tenth (one decimal place).
Please help, thank you!

Answers

Answer:

Step-by-step explanation:

to get from 10 to 25 you time by 2½

so then times 6 by 2½ and the answer is 15

I need help solving please do not report this question I need the answer I will give 30 points a heart 5.0 stars and brainlest

Answers

Answer:

280 m³

Step-by-step explanation:

Volume of a Triangular Prism

V = 1/2BHL

Solving

V = 1/2 x 7 x 8 x 10V = 7 x 10 x 4V = 280 m³

Answer:

280

Step-by-step explanation:

So first lets establish the formula for a Triangular Prism :

1/2 * b * h * l

now lets use the mesurements given to substitute into the formula :

1/2 * 7 * 8 * 10

now lets solve it by first multiplying all the whole numbers together!

7 * 8 = 56

56 * 10 = 560

Finally lets multiply 560 by 1/2 or in other words, divide 560 by 2 :

560/2 = 280

Brain teaser what is two plus two minus two plus four divided by two?

Answers

Answer:

Step-by-step explanation:

2+2-2+4÷2

we go through

P- parentheses

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

also note that we read it from left to right becaue × is not more important than ÷ and same goes to + and -

First step

2+2-2+(4÷2) --> 2+2-2+2

then

2+2-2+2 --> 4-2+2

then

4-2+2 --> 2+2

finally

2+2=4

Answer:

Step-by-step explanation:

Find the perimeter of the figure.
6 meters
2y meters
2y
meters
4y meters
16 meters
4y meters

Answers

Answer:

Step-by-step explanation:

Usually when finding the perimeter all you have to do is add the sides.

BRAINLIEST + STARSS!!

In this diagram, x || y || z and m<9 = 93°.
What is the measure of each angle?
Drag and drop the correct measurements into the boxes to
match each angle.
m<2
m<4
m<7

89° 91 ° 93 ° 87°

Answers

The answer for this is B I took the test

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68

Answers

Answer: x > 64 and x < 68 is another way of rewriting inequality.

Step-by-step explanation:

To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.

⇒The inequality 64 < x < 68, where x represents height,gives the range of height.

⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.

It is positive because the coefficient is positive.

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -9x to the second power-6x-1=0

Answers

Answer:
discriminant=0
Number of real solutions=1

Step-by-step explanation:

Given the equation:
-9x^2-6x-1=0
Let a: coefficient of x^2
Let b: coefficient of x
Let c: constant
a=-9
b=-6
c=-1
The formula of the discriminant is given by:
discriminant= b^2 - 4ac
discriminant= (-6)^2 - 4(-9)(-1)
= 36 - 36 = 0
We know that:
If discriminant<0 then the equation has no real root
If discriminant=0 the equation has one real root
If discriminant>0 the equation has 2 real roots

Here we got discriminant=0 so the quadratic equation has 1 real root.

Make a stem-and-leaf plot of the data values 14, 22, 9, 13, 30, 8, 25, and 29.
Stem Leaf
89
1 3
22
0
Key: 1 | 3 =
Previous
H
9
2
3
SO

Answers

Answer:

Step-by-step explanation:

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