MATHEMATICS
MIDDLE SCHOOL

Answer: Well 500 mm = 50 cm so if you add both segments together you will get a 50+30=80cm segment

MIDDLE SCHOOL

6 plus 9 rquals to 10 plus WHAT NUMBER????

Answer: 5.

Step-by-step explanation:

6+9 = 15

10 + x = 15

-10 -10

x = 5

Answer:

x=5

Step-by-step explanation:

6+9=10+x

15=10+x

x=15-10

x=5

MIDDLE SCHOOL

write an expression that shows how you can multiply 9x475 using expanded form and the distributive property

+6 +4

475

× 9

------------

4275

475

× 9

------------

4275

HIGH SCHOOL

The endpoints of a diameter of a circle are (4,-2) and (3,6). Find the area of the circle in terms of pi

The endpoints of a diameter of a circle are (4,-2) and (3,6). The area of the circle in terms of pi is 65pi

First, is to get the length of the diameter by getting the distance of the two points: (4, -2) and (3, 6)

dis = sqrt( (x2-x1)^2 + (y2-y1)^2)

dis = sqrt( (3-4)^2 + (6--2)^2 )

dis = sqrt( 1 + 64 )

dis = sqrt(65)

Next, is to find the area of the circle:

A = pi * r^2

A = pi * (sqrt(65))^2

A = 204.20 square units

First, is to get the length of the diameter by getting the distance of the two points: (4, -2) and (3, 6)

dis = sqrt( (x2-x1)^2 + (y2-y1)^2)

dis = sqrt( (3-4)^2 + (6--2)^2 )

dis = sqrt( 1 + 64 )

dis = sqrt(65)

Next, is to find the area of the circle:

A = pi * r^2

A = pi * (sqrt(65))^2

A = 204.20 square units

MIDDLE SCHOOL

the height of the water in a fish pod is 42.5 inches . water is being drained from the pond at a rate of 3.75 inches per minute . what is the height of the water after 3 minutes?

Answer:

The height of water after 3 minutes of drain is 31.25 inches .

Step-by-step explanation:

Given as :

The initial height of water in a fish pod = i = 42.5 inches

The rate of drain of water = r = 3.75 inches per min

Let The height of water after 3 min = f inches

The time taken for water drain = t = 3 minutes

Now, According to question

∵ In 1 minute , The water decreases = 3.75 inches

∴ In 3 minute ,The water decreases = 3.75 inches × 3

I.e In 3 minute ,The water decreases = 11.25 inches

Now, The height of water after 3 min = initial height of water - the decrease height of wate

f = i - 11.25 inches

Or, f = 42.5 inches - 11.25 inches

or, f = 31.25 inches

So, The height of water after 3 min = f = 31.25 inches

Hence, The height of water after 3 minutes is 31.25 inches Answer

HIGH SCHOOL

Find the sum of the measures of the interior angles of a 21-gon.

We know that

Sum of the measures of the interior angles of a polygon of n sides is equal to

where

n is the number of sides

in this problem

°

Hence

sum of the measures of the interior angles of a 21 sided polygon is

°

Sum of the measures of the interior angles of a polygon of n sides is equal to

where

n is the number of sides

in this problem

°

Hence

sum of the measures of the interior angles of a 21 sided polygon is

°

Well you have to use the equation (n-2(180)) where n represents the number of sides

so- 21 - 2 = 19 then multiply 19 x 180 = 3420

so the sum of all the interior angles in a 21-gon is equal to 3420 degrees

so- 21 - 2 = 19 then multiply 19 x 180 = 3420

so the sum of all the interior angles in a 21-gon is equal to 3420 degrees

MIDDLE SCHOOL

13. 0.8% of 150 is what number?

The answer i got is

1.2

1.2

0.8% of 150 is 1.2 because it’s the same as 150 times .008

MIDDLE SCHOOL

Toyland is having a sale. All items are 20% off. How much will you save on an item that usually sells for 95$ please explain your work!!

Answer:

You will save $19

Step-by-step explanation:

To find out how much we will save, we take the percentage off times the original price

savings = 20% * 95

Changing to decimal form

= .20 * 95

= 19

Answer:

19$

Step-by-step explanation:

So set up a proportion in which one ratio represents the info.

Part(Which is %) divided by Part(which is 100)

So 20% divided by 100= x/$95.

Then cross multiply the products to find x.

Which is 9000 divided by 100x . Then just pretend the division sign is a = sign.

So it's 9000=100x.To solve for x you must the opposite operation on both sides. 1900 divided by 100=100x divided by 100.19x

We will save 19$ on an item that originally costed 95$

MIDDLE SCHOOL

What is 0.64 as a fraction

0.64 as a fraction is 64/100 and the percentage is 64%.

MIDDLE SCHOOL

(sum of interior angles = 10 (n-2) where n is the number of sides of the polygon) 1. what is the sum of the interior angles of a pentagon?

2. if the sum of the interior angles of a polygon equals 1080, then determine the sides of the polygon.

3. what is a polygon called if the sim of its interior angles equals 6840?

4. what is the sum of the interior angles of an octagon?

Answer:

Step-by-step explanation:

1) pentagon; n= 5

Sum of interior angles = 180*(n -2) = 180* (5-2) = 180 * 3 = 540

2) Sum of interior angles of a polygon = 1080

180*(n-2) = 1080

n - 2 = 1080/180

n -2 = 6

n = 6+2

n = 8

Polygon has 8 sides

3) Sum of interior angles of a polygon = 6840

180*(n-2) = 6840

n - 2 =6840/180

n -2 = 38

n = 38 + 2

n = 40

Polygon has 40sides

4)Sum of interior angles of an octagon = 180*(n-2) = 180* (8-2) = 180 - 6 = 1080

The sum of the interior angles of the 10-sided polygon on the left is 1440 °.

The answer is : 1440