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zubka84 [21]
2 years ago
13

Aisha runs a day care center. Of the last 16 children to enroll at the day care center, 4 of them have been elementary school st

udents. Considering this data, how many of the next 12 children to enroll should you expect to be elementary school students?
Mathematics
1 answer:
jeka942 years ago
3 0

Answer: The answer is 3 children.

Step-by-step explanation: 16:4 is considered 4:1 hence there were 4 of 16 children have been elementary school students. If you take a look at the ratio closer you may see it’s a division of 4, therefore 12 divided by 4 equals 3 children.

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Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try
ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

F(-2,5),R(-2,1),O(6,1),G(6,5)

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

FG=RO=L\\RF=OG=W

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance FG

F(-2,5),G(6,5)

substitute the values

d=\sqrt{(5-5)^{2}+(6+2)^{2}}

d=\sqrt{(0)^{2}+(8)^{2}}

FG=8\ units

step 2

Find the distance RF

R(-2,1),F(-2,5)

substitute the values

d=\sqrt{(5-1)^{2}+(-2+2)^{2}}

d=\sqrt{(4)^{2}+(0)^{2}}

RF=4\ units

step 3

Find the perimeter

P=2(L+W)

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

P=2(8+4)=24\ units

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

A=LW

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

A=(8)(4)=32\ units^2

8 0
3 years ago
What is the length of the diagonal of the rectangular solid shown? please help!!!!
Olin [163]

Answer:

D. diagonal = 20.10 cm

Step-by-step explanation:

Find the bottom diagonal using the length and width.

diagonal² = 8² + 12²

diagonal = √64+144

diagonal = √208

diagonal = 4√13

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

Find diagonal of the rectangular solid:

diagonal² = (4√13)² + 14²

diagonal² = 208 + 196

diagonal = √404

diagonal = 20.10 cm

7 0
2 years ago
Estimate by division ..70/9.24
astraxan [27]
The answer is 7.58

hope this helped :)
alisa202
6 0
2 years ago
Read 2 more answers
Which statement is correct?
Andreyy89

Answer:

Correct statements:

Step-by-step explanation:

A line that rises from left to right has a positive slope.

A line that falls from right to left has a negative slope.

A horizontal line has no slope. (slope of 0)

4 0
3 years ago
Use factoring to solve <br> x^2-2x-35=0
mrs_skeptik [129]

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

7 0
3 years ago
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