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____ [38]
2 years ago
15

What is the surface area of the net? *inches squared*

Mathematics
1 answer:
serious [3.7K]2 years ago
3 0

9514 1404 393

Answer:

  75 in^2

Step-by-step explanation:

The central vertical rectangle (including "ears") has dimensions

  3 in wide by (9+2+2) = 13 in tall

Its area is

  A = LW = (3 in)(13 in) = 39 in^2

__

The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is

  A = LW = (2 in)(9 in) = 18 in^2

__

The total net area is the sum of the areas of the parts:

  left rectangle + central rectangle + right rectangle

  = 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net

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Find the area of the triangle.
BabaBlast [244]

Answer:

17.7 cm^2

Step-by-step explanation:

Use trig to find the height of the triangle. Then the area is bh/2.

Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.

Use triangle ABD to find the height, AD, of triangle ABC.

For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.

sin B = opp/hyp

sin 37 deg = AD/13.1

AD = 13.1 * sin 37 deg

AD = 7.9

AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.

area = bh/2

area = (4.5 cm)(7.9 cm)/2

area = 17.7 cm^2

5 0
3 years ago
Evaluate the expression when c=9 and d=8. 4c+d<br><br><br><br><br>please help ​
guapka [62]

Answer:

44

Step-by-step explanation

4c + d

this is an expression and since they provided c and d it is easy to solve

c = 9 and d = 8. You need to plug in c and d into the expression to solve the problem.  

4(9) + (8)

4 times 9 is 36 so it leaves you with 36 + 8

36 + 8 = 44

I hope this helps but basically the concept is just plugging in the numbers in place of the variables. For future problems plug in the numbers given where the variables are.

7 0
3 years ago
prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.
Vlad1618 [11]

Answer:

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

Step-by-step explanation:

3 x 5 x 2 = 30


30 x 10 = 300

Ans = 300 cubic centimeters

4 0
2 years ago
NEED HELP WILL MARK BRAINLIEST ANSWER
GREYUIT [131]
Your answer would be the first one because a reflection is when the object is facing itself 
The red corner should face itself 
Hope This Helps! :)

3 0
3 years ago
If AC is parallel to DE, find X
UNO [17]

Answer: x = 50

Concept:

Here, we need to know the idea of alternative interior angles and the angle sum theorem.

<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.

The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°

If you are still confused, please refer to the attachment below or let me know.

Step-by-step explanation:

<u>Given information:</u>

AC ║ DE

∠ABC = 85°

∠A = 135°

<u>Find the value of ∠BAC</u>

∠A + ∠BAC = 180° (Supplementary angle)

(135°) + ∠BAC = 180°

∠BAC = 45°

<u>Find the value of ∠BCA</u>

∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)

(85°) + (45°) + ∠BCA = 180°

∠BCA = 50°

<u>Find the value of x (∠EBC)</u>

∠EBC ≅ ∠BCA (Alternative interior angles)

Since, ∠BCA = 50°

Therefore, ∠EBC = 50°

\Large\boxed{x=50}

Hope this helps!! :)

Please let me know if you have any questions

8 0
1 year ago
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