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2 years ago

The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg?

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

6 0

Answer:

40 mm

Step-by-step explanation:

It's 40 mm because the Pythagorean Theorem explains a^2 + b^2 = c^2.

This means the unknown number plus 30^2 = 50^2

What you want to do is 50^2 - 30^2= 20^2; which would be 2500-900=1600.

You got 1600 but that isn't your final answer. You want to find the square root 1600. So 1600 square rooted is 40.

40 mm is your final answer.

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siniylev [52]

Answer:

e. 36 inches

Step-by-step explanation:

there are 12 inches in a foot 3 times 12 is 36

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2 years ago

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Consider the figure below. I need need help with what’s the slope of TR is:

Keith_Richards [23]

Answer:

The slope of RT is: m = 1

Step-by-step explanation:

Given

R(-3, 1)

T(2, 6)

Determining the slope between (-3, 1) and (2, 6)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:1\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)$

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Therefore, the slope of RT is: m = 1

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3 years ago

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yulyashka [42]

Answer:

(-1,2)

Step-by-step explanation:

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2 years ago

A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square?

Rainbow [258]

Answer: yes

Step-by-step explanation:

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1 year ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

yarga [219]

Answer:

Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

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3 years ago