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3 years ago

Write the recurring decimal 0.25 (with just the 5 recurring) as an exact fraction.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

3 0

Answer:

23/90

Step-by-step explanation:

Create a variable called "x" with a value of 0.2555 repeating.

10x would be equal to 2.555 repeating.

Calculate 10x - x using these numbers; 2.555 repeating minus 0.2555 repeating is 2.3 (the repeating fives subtract and cancel out). 2.3 is equal to 9x, so to find x, we write the fraction 2.3/9. To get rid of the decimal in the numerator, we multiply both the numerator and the denominator by 10: this gives 23/90. 23 is a prime number, so we know this fraction cannot be simplified further.

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Find the height of the basketball hoop to the nearest foot.

Kisachek [45]

Answer:

12 ft

Step-by-step explanation:

Hi there!

1) Find the length of the other leg in the right triangle

There are two ways we can go about this. The first way is to use trigonomic ratios:

We're given one of the legs and we're trying to solve for the other, so we can use the tangent ratio:

$tan\theta=\frac{opp}{adj}$

Let x be equal to the length of the other leg. Plug in the known values:

$tan45=\frac{x}{7}\\7*tan45=x\\x=7$

The other way to find this is to observe the angles. Because we're given that two of the angles are 45 and 90 degrees, we know that the third angle is 45 degrees. This makes this an isosceles triangle, meaning the other leg is 7 ft long.

2) Determine the height of the hoop

Add 7 ft and 5 ft (the person's height):

7+5=12 ft

I hope this helps!

7 0

3 years ago

A restaurant has 50

marishachu [46]

Should be 160 chairs

8 0

3 years ago

Which matrix equation represents the system of equations? [4x - 2y = -7 3y = 5

castortr0y [4]

The fourth one is the correct answer.

0 must come before 3 in the matrix, so that x will be multiplied with 0.

6 0

3 years ago

Please help! Will pick Brainliest if it's the correct answer!

Valentin [98]

It is 2.491462
Hope it helps

3 0

3 years ago

Fifty people are seated in a movie theater. The maximum capacity of the theater is 425 people. Write an inequality to represent

timurjin [86]

This is the concept of inequalities:
maximum capacity for the theater=425
Number of people in the theater=50
thus the inequality for the that will represent the number p of additional people who can be seated will be:
50+p≤425
hence:
p≤(425-50)
p≤375

Answer: p≤375

3 0

3 years ago