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riadik2000 [5.3K]
3 years ago
7

The perimeter of a square is 4 times greater than the length of any of its sides. Is the perimeter of the square proportional to

its side length?
Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0
Yes, the perimeter of a square is ALWAYS four times the length of one of its sides; so the perimeter is proportional to the square's side length.
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In a group of 38 pupils, 14 play the flute only.
lana66690 [7]

Hey there!

The answer to your question is 5/38

We can find this answer by taking the total group and subtracting all the data to see how many are left who don't play either:

38 - 14 - 8 - 11

5

This means that 5 out of every 38 pupils do not play either instrument, so the probability would be 5/38.

Hope this helps! Have a great day and good luck on your assignment!

5 0
3 years ago
The EPA says the value of a human life is $7.6 million, measured from birth to death. If life expectancy is 78 years, what is th
UkoKoshka [18]
The value would be $2.53 million.

Set up a proportion to solve this:

7.6/78 = x/(78-52)

[7.6 million for 78 years; x million for 78-52 years remaining]

Cross multiply:
7.6(78-52) = x*78
7.6(26) = 78x
197.6 = 78x

Divide both sides by 78:
197.6/78 = 78x/78
2.53 = x
6 0
4 years ago
Hailey is scuba diving in the ocean. Her boat is anchored 300 feet away at a 30° angle of depression. If her diving partner is 2
victus00 [196]

Answer:

B)313 ft

Step-by-step explanation:

Hello,I think I can help you with this

to solve this you need to find all the measures of the rigth triangle formed by Hailey, the boat, and the point on the surface of the sea just above the head of Hailey

Step 1

define

triangle

Hypotenuse=300 feet

opposite side=y

adjacent side=x

angle of depression =30°

Step 2

find the distances

cos\alpha =\frac{adjancent\ side}{hypotenuse}\\\\hypotenuse*cos\alpha =adjancent\ side\\ so\\x=adjancent\ side=hypotenuse*cos\alpha\\\\x=300\ft*cos 30 \\\\x=259.8076

so,  the point on the surface of the sea just above hailey is 259.8076 ft from the boat

sin\alpha =\frac{opposite\ side}{hypotenuse}\\\\hypotenuse*sin\alpha \\y=opposite\ side\\ so\\y=opposite\ side=hypotenuse*sin\alpha\\\\y=300\ft*sin 30 \\\\y=150

hailey is at a depth of 150 feet

Step 3

now,her partner is 25 feet directly below her,it is

partner's depth is =hailey is at a depth of 150 feet+25

Y=175

he is at the same distance from de boat ( horizontal),because it is the same point in the sea surface.

X=259.80

Step 4

to find  the distance between the partner and the boat we can use  

Pythagoras theorem

adjacentside^{2} +opposite side^{2} =hypotenuse^{2} \\\sqrt[2]{adjacentside^{2} +opposite side^{2}} =Hypotenuse\\Hypotenuse=\sqrt[2]{175^{2} +259.8076^{2}} \\\\Hypotenuse=313.24 ft

so, Hailey's diving partner is 313 ft away from the boat(B)

Have a great day.

3 0
3 years ago
Complete the sentence help me plssssssssssssssss​
uranmaximum [27]
The answer is half… (1/2)
5 0
2 years ago
Moreeeeeweeeweeeeeeeee
Svetlanka [38]

Answer:

A

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here g(x) = f(x) - 2 ← with c = - 2 < 0

Then g(x) is the graph of f(x) shifted down 2 units

7 0
3 years ago
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