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zhenek [66]
3 years ago
12

The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet, find the length of ea

ch leg
Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

9 and 12

Step-by-step explanation:

Pythagorean Theorem. One of the most common Pythagorean triples is 3, 4, 5 with 3 and 4 the legs and 5 the hypoenuse. That will make 9, 12, 15 anotther trible because you are tripling the side lengths. 12-9=3 so this triangle works.

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Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are abou
wel

Answer:

5%

Step-by-step explanation:

Total 'halwa' made = 1

Divided into four equal portion = 1/4

Arrival of an unexpected guest = 1/5

By what percentage has each family member's share been reduced:

Change in the sharing proportion:

Previous share ratio - new sharing ratio

(1/4 - 1/5) = (5 - 4) / 20 = 1/20

That means total reduction in the sharing = 1/ 20

Since each member comes contributed equally:

Reduction in each family member's share ;

(1 / 20) ÷ 4

(1 / 20) * 1/4 = 1/ 80

Percentage reduction:

(Reduction / original share) * 100%

[(1/80) ÷ (1/4)] * 100

(1/80 * 4/1) * 100%

(1/20) * 100%

= 5%

Reduction in each family members share = 5%

3 0
3 years ago
Sean tried to drink as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy
Artist 52 [7]

The rate at which Sean drank the slushy is 5 milliliters  per second.

The time it would take to drink all the slushy is 55 seconds.

<h3>How fast did Sean drink?</h3>

In order to determine the speed at which the slushy was drank, divide the slushy drank in 13 seconds by 13 seconds.

Speed = slushy drank in 13 seconds / time

(275 - 210) / 13

65 / 13 = 5 milliliters  per second

Time it would take to drink all the slushy =total milliliters of the slushy / speed

275 / 5 = 55 seconds.

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

3 0
1 year ago
Solve the following inequality for y.<br> 18x + 6y &gt; 12
Murljashka [212]

Answer:

12

Step-by-step explanation:

Simplifying

18x + -6y = 12

Solving

18x + -6y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

18x + -6y + 6y = 12 + 6y

Combine like terms: -6y + 6y = 0

18x + 0 = 12 + 6y

18x = 12 + 6y

Divide each side by '18'.

x = 0.6666666667 + 0.3333333333y

Simplifying

x = 0.6666666667 + 0.3333333333y

3 0
3 years ago
Solve the system by elimination -3x+4y=16 3x+y=4
Illusion [34]
X's cancel 5y = 20 y= 4 X=0
7 0
3 years ago
A recent study suggested that 81% of senior citizens take at least one prescription medication. Amelia is a nurse at a large hos
Lady_Fox [76]

Null hypothesis: p = 0.81

Alternative hypothesis: p \ne 0.81

The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.

If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81

If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81

However, she wants to know if the percentage is 81%.

5 0
3 years ago
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