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2 years ago

Which angles are complementary to <1. Select all that apply.

Mathematics

1 answer:

lbvjy [14]2 years ago

4 0

Answer:

∠5

Step-by-step explanation:

Complementary angles are angles that:

sum to 90°
make a right angle

Given this information, angles 2, 3, and 4 are already right angles. That leaves angle 5 and angle 1 to be complementary with each other, as they form a right angle.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

~ ren

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A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

2 years ago

Is 5/10 s simplest form or not

salantis [7]

Solutions

⇒ 5/10
5/10 is not in simplest form

1) The Greatest Common Factor of 5 and 10 is 5
5 ÷ 5 = 1
10 ÷ 5 = 2

2) simplify

5/10 in simplest form is 1/2

5 0

3 years ago

Read 2 more answers

Sophia's school has 23 classrooms. Each classroom has 10 tables. How many tables are there in the school?

amid [387]

If there is 23 classrooms and each has 10 then you would have to times 23 by 10 - 23x10=230

4 0

2 years ago

Read 2 more answers

A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to buil

bixtya [17]

9514 1404 393

Answer:

30 small chairs and 24 large chairs

Step-by-step explanation:

Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...

20x +50y = 30×60

60x +90y = 66×60

Removing common factors, these can be written in standard form as ...

2x +5y = 180

2x +3y = 132

Subtracting the second equation from the first gives ...

2y = 48

y = 24 . . . . . divide by 2

Using the first equation to find x, we have ...

2x +5(24) = 180

2x = 60 . . . . . . . . . . subtract 120

x = 30 . . . . . . . . divide by 2

The company can build 30 small chairs and 24 large chairs in a day.

4 0

3 years ago

Please help with all 3

DerKrebs [107]

Answer:

1, volume=23×9×5

=1035

2, volume=(1/2×5×4)×20

... =200

8 0

2 years ago

Read 2 more answers