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2 years ago

PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.

Mathematics

1 answer:

aksik [14]2 years ago

3 0

Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².

<h3>What is the Surface Area of the Composite Figure?</h3>

Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.

Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².

Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²

Area of the surface both share together = 2(16)(5) = 160 m²

Total surface area = 276 + 328 - 160 = 444 m².

Learn more about the surface area of triangular prism on:

brainly.com/question/16147227

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Suppose that P is the point on the unit circle obtained by rotating the initial ray counterclockwise through 330 degrees. Find t

Flauer [41]

Answer:

Reference angle will be 30°

sin(330°) will be equal to $\frac{-1}{2}$

cos(330°) will be equal to 0.866

Step-by-step explanation:

We have given angle is 330°

As the angle $330^{\circ}$ is in forth quadrant

We know that in forth quadrant the reference angle is given by

Reference angle $=360-angle$

As the angle is 330°

So the reference angle will be $=360-330=30^{\circ}$

Now we have to find the value of

sin(330°) $=sin(2\pi -30)=-sin(30)=\frac{-1}{2}$

And now $cos(330^{\circ})=cos(2\pi -30)=cos30=0.866$

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3 years ago

What are the intercepts of 2x + 3y – 6z = 30?

ycow [4]

Intercept of equation 2x + 3y - 6z = 30 is (15, 0, 0) , (0, 10, 0) and (0, 0, -5)

<h3><u>Solution:</u></h3>

Given equation is:

2x + 3y - 6z = 30

We have to find the intercepts

Intercept are the point where equations cut the x- axis, y- axis and z- axis.

y and z both are zero

So substitute y = 0 and z = 0 in given equation

2x + 3(0) - 6(0) = 30

2x = 30

x = 15

<h3>Thus the intercept is (15, 0, 0)</h3>

x and z both are zero

So substitute x = 0 and z = 0 in given equation

2(0) + 3y -6(0) = 30

0 + 3y + 0 = 30

3y = 30

y = 10

<h3>Thus the intercept is (0, 10, 0)</h3>

x and y are both zero

So substitute x = 0 and y = 0 in given equation

2(0) + 3(0) - 6z = 30

-6z = 30

z = -5

<h3>Thus the intercept is (0, 0, -5)</h3>

Thus, intercept of equation 2x + 3y - 6z = 30 is (15,0,0) ,(0,10,0) and (0,0,-5)

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3 years ago

Lucy made $323 for 17 hours of work.

saveliy_v [14]

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3 years ago

Point M is will be plotted between L and N on the number line.

erica [24]

Answer:

The answer is 19

Step-by-step explanation:

I'm pretty sure the answer is 19

3 0

3 years ago

Read 2 more answers

Question Progress

Alik [6]

Answer:

60 ; - 40 ; 22 ; - 11

Step-by-step explanation:

Given that:

Number of questions = 20

Rules :

Every correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0 points.

It is possible to finish the quiz with a negative score.

Maximum score : answering all questions correctly :

(3 points * 20 questions)

= 3 * 20

= 60 points

Minimum score is obtainable by answering all questions incorrectly ;

(-2 points * 20)

= - 40 points

10 correct answers = (3 * 10) = 30 points

(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points

Net total = 30 + (-8) = 30 - 8 = 22 points

d) Another student answers 18 questions,

5 are correct. How many points does she score?

5 correct answers = (5 * 3) = 15 points

(18 - 5) incorrect answers = (13 * - 2) = - 26 points

Net total = 15 + (-26) = - 11 points

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3 years ago