MATHEMATICS HIGH SCHOOL

Find the length of the missing

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

using pythagoras theorem

here 15 is hypotenuse since it is opposite 0f 90 degree

9 and x are the other smaller sides of a triangle

according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

9^2 + x^2 = 15^2

81 + x^2 = 225

x^2 = 225 - 81

x^2 = 144

x = $\sqrt{144$

x = 12

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Last year Mr. John Q. Public received an inheritance. He paid $20\%$ in federal taxes on the inheritance, and paid $10\%$ of what he had left in state taxes. He paid a total of $\$10{,}500$ for both taxes. How many dollars was the inheritance?
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colby and jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the number of bacteria doubles every two hours. Jaquan has a different type of bacteria that doubles every three hours. How many bacteria should Jaquan start with so that they have they have the same amount at the end of the day?

Answers

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1
If x = 4 and y = -2, the value of
2
1 xy² is

Answers

Answer:

Step-by-step explanation:

PEMDAS

Dena's softball team can win (W) or lose (L) each game. Which of the following are elements in the sample space for 2 softball games?

Answers

In a softball game, the odds are only win or lose the game. When 2 games are already being considered, the elements in the sample space are already 2 in each set. The sets are {W,W}, {W,L}, {L,W} and {L,L}. Hence, there are 4 sets all in all to describe the odds of the two games.

the formula for the area of a rectangle is a=lw , where a is the area, l is the length, and w is the width . a rectangular garden has a length of 10 ft. its width is 6 ft less than its length. what is the area of the garden? 14 ft² 16 ft² 40 ft² 60 ft²

Answers

a=lw
l=10, w=6
a=10x6
a=60ft^2

so, the answer is 60ft^2

A cell-phone plan advertises 800 free minutes. Of those, 200 are daytime minutes. What fractions of the free minutes are on nights and weekend?A. Less than 1/4
B. Exactly 1/4
C. Exactly 3/4
D. More than 3/4

Answers

Exactly 3/4 because in the end you'll only have the 600 minutes remaining

Find the length of a rectangular lot with a perimeter of 140 meters if the length is 4 meters more than the width. (P = 2L + 2W)

Answers

The width of the rectangular lot is 33 meters and the length of the rectangular lot is 37 meters.

Let, the width of the rectangular lot is W meters.

According to the problem, the length of the rectangular lot is 4 meters more than the width, so the length would be (W + 4) meters.

Now, we can use the formula for the perimeter of a rectangle:

Perimeter = 2 * Length + 2 * Width

Given that the perimeter is 140 meters, we can set up the equation:

140 = 2 * (W + 4) + 2 * W

Now, solve for W:

140 = 2W + 8 + 2W

Combine like terms:

140 = 4W + 8

Subtract 8 from both sides:

132 = 4W

Finally, divide by 4:

W = 33

So, the width of the rectangular lot is 33 meters.

Now, we can find the length:

Length = Width + 4

Length = 33 + 4

Length = 37

Therefore, the length of the rectangular lot is 37 meters.

Learn more about perimeter here:

brainly.com/question/397857

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the length is 37 and the width is 33 if you add 33+33+37+37 you get 140

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