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Veseljchak [2.6K]
3 years ago
14

Solve for x and y. Write any radical answers as "sqrt( )" or "squareroot( )".

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0

Answer:

x = 4 and y = 8

Step-by-step explanation:

This is a special right triangle with angle measures 90-60-30 degrees

The side lengths are like the following :

The side length that sees 90 degrees is represented with a

The side length that sees 60 degrees is represented with a\sqrt{3}

The side length that sees 30 degrees is represented with 2a

now, the angle measure that sees 60 degrees is given as 4\sqrt{3} so we understand that a is = 4 that's how we find the value of x and y

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If 2 liters of sea water contain 70 grams of salt, how much salt is in 32 liters of sea water?
OLga [1]

Answer:

1120 grams

Step-by-step explanation:

The amount of sea water is directly proportional to the amount of salt in the water.

Let the amount of sea water be W and the amount of salt be S.

This means that:

W α S

=> W = kS

where k = constant of proportionality

2 liters of sea water contain 70 grams of salt Therefore:

2 = k * 70

k = 2 / 70 = 1/35

Therefore, for 32 liters of sea water:

32 = 1/35 * S

S = 35 * 32

S = 1120 grams

There are 1120 grams of salt in 32 liters of water.

5 0
3 years ago
What is the answer to 2(2x+2)
STatiana [176]
4x+4 you have to distribute it
4 0
4 years ago
A recipe calls for 2/3 cup of white flour and 3 1/5 cups of wheat flour how much flour will be used in all
ss7ja [257]

Answer:

58/15 or 3 13/15 of flour will be used in all.

8 0
3 years ago
The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s
blagie [28]

Answer:

  • 150 short-sleeved shirts
  • 100 long-sleeved shirts

Step-by-step explanation:

Let S and L represent the numbers of short- and long-sleeved shirts ordered.

The expected earnings were ...

  5S +10L = 1750

The number sold was ...

  (1/3)S + (1/2)L = 100

We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:

  • S +2L = 350
  • 2S +3L = 600

Subtracting the second equation from twice the first gives ...

  2(S +2L) -(2S +3L) = 2(350) -(600)

  L = 100 . . . . . . simplify

  2S +3(100) = 600

  S = 150

150 short-sleeved and 100 long-sleeved shirts were ordered.

3 0
3 years ago
Read 2 more answers
If the length of the minute hand of the clock in London commonly known as “Big Ben” is 11.25’ from the center of the clock to th
NeTakaya
A whole hour or revolution is 60 minutes and 360° so the area of a sector is:

A/πr^2=α/360

A=απr^2/360...now we need to find the angle  α/360=5/60, α=30° so:

A=30πr^2/360

A=πr^2/12 and r=11.25ft so

A=11.25^2*π/12

A≈33.13 ft^2
6 0
3 years ago
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