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eduard
3 years ago
7

URGENT URGENT URGENT Find the value of x.

Mathematics
1 answer:
Alja [10]3 years ago
4 0

Answer:

x = 5.

Step-by-step explanation:

x is the radius of the circle.

The line of length 4 bisects the chord of length 6 into 2 line segments of length 3.

If we draw a line from the centre to where the chord of length 6 meets the circle we have another radius.

This is also the hypotenuse (h) of a right triangle, so we have a right triangle whose legs are 3 and 4, then:

h^2 = 4^2 + 3^2 = 25

h = 5

x = 5 (as x and h are both radii).

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Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
3 years ago
5(m+4)=-2(-4-m)+3<br> help please
Degger [83]

Answer:

m = -3

Step-by-step explanation:

5m + 20 = 8 + 2m +3

5m + 20 = 11 +2m

3m + 20 = 11

3m = -9

m = -3

3 0
3 years ago
Simplify the following expression. 1/4 (24-16x)<br> a. 6+4x<br> b. 6+4<br> c. 6-4x<br> d. 6-4
adoni [48]
Answer is 6-4x

 <span>1/4 evaluates to 1/4
</span>
<span>Multiply x and 16
</span>
<span>Multiply x and 1

after you have the answer it should come out to  </span>24-16x then multiply 1/4 * 24-16x

1/4 *24=6


<span>1/4*(24-16*x) evaluates to 6-4x</span>
5 0
4 years ago
Read 2 more answers
You are in a bike race. When you get to the first checkpoint, you are $\frac{2}{5}$
Black_prince [1.1K]

Answer:

The distance from the star to the second checkpoint is 4 miles

Step-by-step explanation:

The complete question in the attached figure

we know that

When you get to the second checkpoint, you are 1/4 of the distance to the finish

so

The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4

The total distance is 40 miles ( see the attached figure)

so

The distance from the star to the second checkpoint is

\frac{1}{4}(40)=10\ miles

<em>Find out the distance from the start to the first checkpoint</em>

Multiply the distance from the star to the second checkpoint by 2/5

\frac{2}{5}(10)=4\ miles

6 0
3 years ago
Write each percent as a fraction for 88%
GREYUIT [131]
88 = 88/100 or 22/25
6 0
3 years ago
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