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3 years ago

In a 45°- 45°- 90° right triangle, the length of the hypotenuse is 15. How long are the legs?

Mathematics

2 answers:

Fed [463]3 years ago

7 0

The answer is roughly 10.6

iris [78.8K]3 years ago

4 0

This is a special right triangle and the hypotenuse is √2 as long as legs (a).
a √ 2 = 15
a = 15 : √ 2 = 15 : 1.4142135 = 10.6066 ≈ 10.6

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Step-by-step explanation:

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Therefore,

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3 years ago

Mr. Martin's math test, which is worth 100 points, has 35

AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

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From equation no 1:

$x+y=35\\x=35-y$

Putting x=35-y in second equation

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Number of questions worth 5 points = 10

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Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

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3 0

3 years ago

Read 2 more answers

Kristen just deposited $6,500 into a new bank account that pays 4.5% interest the first year and 3% compounded annually each yea

vladimir2022 [97]

This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.

You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.

Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:

$6,500 × 0.1 = $650

If this amount were added to the original amount each year for two years, the total would be:

$6,500 + $650 + $650 = $6,500 + $1,300 = $7,800

This is an over-estimate for the information given, and since choices C and D are even greater than this over-estimate, they can be eliminated. That means choice B is the correct answer.

6 0

3 years ago

Read 2 more answers

Find the approximate side length of a square game board with an area of 105 in2.

aleksley [76]

Answer:

Rounded to the nearest inch: 10

Rounded to the nearest tenth: 10.2

Rounded to the nearest hundredth: 10.25

Step-by-step explanation:

To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!

$A=s^2$

We are given the area, so plugging that into our equation looks like this:

$105=s^2$

To eliminate the exponent, take the square root of both sides of the equation!

$\sqrt{105}=s$

From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.

The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.

105 is closer to 100 than to 121, so √105 is closer to √100.

√100 is equal to 10, so the √105 is approximately 10 inches!

Using a calculator to check:

$\sqrt{105}=10.247$ inches

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1 year ago