All categories

3 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]3 years ago

5 0

Answer:

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

Step-by-step explanation:

Gwar [14]3 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

Help help help help

deff fn [24]

Answer:

b = 12

Step-by-step explanation:

b/3 + 4 = 8

subtract 4 on both sides

b/3 = 4

multiply 3 with 4

b = 12

4 0

3 years ago

Benny bought six new baseball trading cards to add to his collection . The next day his dog ate half of his collection. There ar

KIM [24]

90 because if his dog ate half his cards and benny had 45 left that means 45 times two equals 90 because the dog ate HALF of 90

3 0

3 years ago

Isabel wrote the equation 1/2+1/6=4/6and Jonah wrote 3/6+1/6=4/6 to represent combining the pie pieces. EXPLAIN WHY BOTH EQUATIO

Alex73 [517]

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wtjfavyw

7 0

3 years ago

Hey what's the answer <img src="https://tex.z-dn.net/?f=%20-%2011a%283a%20%2B%202a%29" id="TexFormula1" title=" - 11a(3a + 2a

allsm [11]

Answer:

$- 11a(3a + 2b) \\ = - 11 \times 3 \times a \times a + ( - 11 \times 2 \times a \times a) \\ = - 33 {a}^{2} - 22ab$

I hope it helps

have a great day

$#Liliflim✌️$

7 0

3 years ago

Read 2 more answers

its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai

brilliants [131]

$T = \frac{-9}{2}x + 103$ is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

Solution:

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain

Given, when c = 6 thousand ft and $T = 76^{\circ}$ fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c ----- (ii)

Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain

Given, when c = 12 thousand ft and $T = 49^{\circ}$ fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

$c = \frac{-9}{2}$

Substituting the value of c in (ii) we get

$k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103$

Substituting the value of c and k in (i)

$T = \frac{-9}{2}x + 103$

Where "x" is in thousands of feet

Thus the required linear equation is found

5 0

3 years ago