MATHEMATICS MIDDLE SCHOOL

What is the surface area of the prism?A. 82 yd.^2
B. 90 yd.^2
C. 96 yd.^2
D. 108 yd. ^2
What is the surface area of the prism? A. 82 - 1

Answers

Answer 1
Answer: Surface area of the prism= surface area of the base + surface area of the two triangles + surface area of the two rectangles.

Surface area of the base=(3 yd * 7 yd)=21 yd².
Surface area of the two triangles=2*(3 yd * 4 yd)/2=12 yd².
Surface area of the two rectangles=(7 yd * 5 yd) + (7 yd * 4yd)=35 yd² + 28 yd²=
=63 yd²

Surface of the prism=21 yd² + 12 yd² + 63 yd²=96 yd²

Remember:
surface area of a triangle=(base * height)/2
surface area of a rectangle=base *  height.

Answer: C.96 yd²
Answer 2
Answer:

Answer:

C.96 yd²

Step-by-step explanation:

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The circumference of a circle is 16Pi ft.

The radius is __ ft.

Answers

Answer:

8

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

Under which angle conditions could a triangle exist? Check all that apply.3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle

Answers

Answer:

  1. 3 acute angles
  2. 2 acute angles, 1 right angle
  3. 2 acute angles, 1 obtuse angle

Step-by-step explanation:

We have to check under which condition a triangle will exist.

  • According to angle sum property of the triangle, the sum of all the three angles of a triangle is 180 degrees.
  • An acute angle is an angle with a a measure less than 90 degrees
  • A right angle is an angle with a measure of 90 degrees.
  • An obtuse angle is an angle with a measure of greater than 90 degrees.

1. It is possible to have triangle with three acute angle

Example: A triangle with all the three angles of 60 degrees

2. It is possible to have a triangle with 2 acute angles and 1 right angle.

Example: A triangle with all the two angles of 45 degrees and one right angle.

3. It is not possible to have a triangle with 1 acute angle, 1 right angle and 1 obtuse angle. It will violate the angle sum property of triangle.

4. It is not possible to have a triangle with 1 acute angle and 2 obtuse angles. It will violate the angle sum property of triangle.

5.  It is possible to have a triangle with 2 acute angles and 1 obtuse angle.

Example: A triangle with all the  angles of 45 degrees, 40 degrees and 95 degrees
Triangles exist:
3 acute angles2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle

Triangles DON'T exist for:
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles

32:__=12:24
whats the answer

Answers

the answer would be 64 since the equation is 32:_=12:24, and 12:24 simplified would be 1:2, 32 times two would be equal to 64, making the ratio complete and correct.
Hope this helps
32: __ = 12 : 24

32 divided 3 = 12

so that means __ divide 3 should be 24

24 * 3 = 72

Plug it in:

32:72 = 12: 24

Does 32:72 simplify to 12:24? Yes, so it should be your answer... unless the question is asking for something else.

Susan rode her bike 30 kilometers in 2.5 hour. How fast did she ride her bike in kilometers per hour

Answers

The answer is 12. All you had to do was divide. 
So, 30 divided by 2.5 equals 12.
I hope this helps!
speed= distance : time
= 30 : 2.5
= 12

answer: 12 km/h

Write 128 as a product of primes

Answers

Answer:

2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

OR

2^7

Step-by-step explanation:

2 is the only prime number you can multiply to get 128.

as such your answers are :

2^7

or

2 x 2 x 2 x 2 x 2 x 2 x 2.

(if you don't know yet, 2^7 is just a simple way to say 2 times itself 7 times.)

Jim & Jesse each had the same amount of money. Jim spent $58 and Jesse spent $37. Afterward, the ratio of Jim's money to Jesse's is 1:4. How much money did each have at first?

Answers

x-\ money\ that\ each\ of\ them \ had\ previously\n\n4(x-58)=x-37\n\n4x-232=x-37\ \ \ | subtract\ x\n\n3x-232=-37\ \ \ | add\ 232\n\n3x=195\ \ \ | divide\ by\ 3\n\nx=65\n\nEach\ of\ them\ had\ 65\$\ at\ the\ beginning.
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