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kkurt [141]
3 years ago
6

Mr. Smith tells you that a right triangle has a hypotenuse of 19 and a leg of 10. He asks you to find the other leg of the trian

gle. What is your answer?
Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16  which is rounded to the nearest hundredth.

Step-by-step explanation:

10^2 + b^2 = 19^2

100  + b^2 =  361

-100              -100

b^2 = 261

b= \sqrt{261}

You might be interested in
A local university has 2.815 Hispanic students out of a total student population of 20.250. Do the Hispanic students have propor
Over [174]
Given:
The race percent of population is
White:      45%
Hispanic: 27%
Black:       18%
Asian:        7%
Other:        3%

Part a.
The university has 2,815 Hispanic out of the 20,250 total population.
This is equivalent to (2815/20250)*100 = 13.9%
This percentage is less than 27%, so Hispanics do not have proportional representation.

Answer: The Hispanic students do not have proportional representation.

Part b.
Let x =  the extra number of Hispanic students needed for proportional representation of 27% or 0.27.
Then
(2815 + x)/20250 = 0.27
2815 + x = 20250*0.27 = 5467.5
x = 5467.5 - 2815 = 2652.5

This means that 2,653 extra Hispanic students are required for a population of 20,250 students.

Answer: 2,653 extra Hispanic students.

5 0
3 years ago
Which values for x make this inequality true?<br><br> −15x+4≤39
nadezda [96]

Answer:

x ≥ -7/3

Step-by-step explanation:

<h3>General Formulas and Concepts:</h3>

Pre-Algebra

<h3>Order of Operations: BPEMDAS</h3>

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

-15x + 4 ≤ 39

Step 2: Solve for x

Subtract 4 on both sides:                     -15x ≤ 35

Divide -15 on both sides:                      x ≥ -7/3

Here we see that any value x greater than or equal to -7/3 would work as a solution to the inequality.

8 0
3 years ago
A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.
stich3 [128]

Answer:

The distance between 12m-sides is 5\sqrt{2}m.

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

\sin\theta=\frac{perpendicular}{hypotenuse}

\sin C=\frac{BE}{BC}

\sin(45^{\circ})=\frac{d}{10}

\frac{1}{\sqrt{2}}=\frac{d}{10}

\frac{10}{\sqrt{2}}=d

\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d

\frac{10\sqrt{2}}{2}=d

5\sqrt{2}=d

Therefore the distance between 12m-sides is 5\sqrt{2}m.

4 0
3 years ago
Solve for x. 5 = − 3 9 x
IgorLugansk [536]

Answer:

x = -5/27

Step-by-step explanation:

5 = − 3 · 9x; x = -5/27

6 0
4 years ago
In how many ways can 3person study groups beselected from a class of 25students?Note: nrn!r!(n-r)!nEnter
nlexa [21]

Answer:

2,300

Explanation:

This is given as:

\begin{gathered} 25\text{ combination 3 represented as:} \\ ^nC_r=\frac{n!}{r!(n-r)!} \\ n=25 \\ r=3 \\ ^{25}C_3=\frac{25!}{3!(25-3)!} \\ ^{25}C_3=\frac{25\times24\times23\times22!}{3!\times22!} \\ ^{25}C_3=\frac{25\times24\times23}{3\times2\times1} \\ ^{25}C_3=2300 \end{gathered}

Therefore, there are 2,300 ways that 3 persons can be selected from 25 people

8 0
1 year ago
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