All categories

2 years ago

The length of the hypotenuse of a right triangle is 15 in. and one leg has length of 6 in. Find the length of the other leg.

Mathematics

2 answers:

liq [111]2 years ago

5 0

Answer:

square root 189 i did the math and google says the same

Step-by-step explanation:

Gwar [14]2 years ago

4 0

Answer: C. square root 189 in.

Step-by-step explanation:

Given : The length of the hypotenuse of a right triangle is 15 in.

The length of one leg = 6 in.

Let x be the length of other leg, then

According to Pythagoras theorem ,we have

Hypotenuse² = Perpendicular² + Base²

$\Rightarrow\ 15^2=6^2+x^2\\\Rightarrow225=36+x^2\\\Rightarrow\ x^2=225-36=189\\\Rightarrow x=\sqrt{189}\ in.$

Hence, the length of the other leg is $\sqrt{189}\text{ in.}$

Thus , the correct answer is C. square root 189 in.

You might be interested in

Find the value of x and y Please help me. Thank you

STatiana [176]

Answer:

Step-by-step explanation:

let each angle=A

A+A+A=180

3A=180

A=180/3=60°

as the angles are equal so sides are equal.

16+y=46

y=46-16=30

applying sine formula

$\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ$

z+x=60

40+x=60

x=60-40=20°

5 0

3 years ago

What is the simplified form of (X/3-y/4)/(x/4+y/3) ? (6 points)

Fofino [41]

Option 2: $\frac{4x-3y}{3x+4y}$ is the right answer

Step-by-step explanation:

Given fraction is:

$\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}$

To solve the fraction, Taking LCM in denominator and numerator

$=\frac{\frac{4x-3y}{12} }{\frac{3x+4y}{12}}$

When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,

$= \frac{4x-3y}{12} * \frac{12}{3x+4y}\\=\frac{4x-3y}{3x+4y}$

Hence,

Option 2: $\frac{4x-3y}{3x+4y}$ is the right answer

Keywords: fractions, simplification

Learn more about fractions at:

#LearnwithBrainly

4 0

3 years ago

Kristen reads 11 pages per hour. In all, how many hours of reading will Kristen have to do

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

6 0

2 years ago

(3/4)3 write as improper fraction and mixed number

matrenka [14]

15/4, 3 3/4, and 3.75

5 0

3 years ago

Using the graph, determine the coordinates of the x-intercepts of the parabola.

jek_recluse [69]

(1,0) and (7,0) are the x intercepts

5 0

3 years ago