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Strike441 [17]
4 years ago
9

If the length of one leg of a right triangle is 3 and the hypotenuse is √34, what is the length of the other leg?

Mathematics
1 answer:
Elenna [48]4 years ago
3 0

To answer this question you must use Pythagorean theorem

a^{2} +b^{2}=c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 3

b = unknown

c = √34

^^^Plug these numbers into the theorem

3^{2} +b^{2} =√34^{2}

Simplify

9 + b² = 34

solve for b

b^{2} = 25

Take the square root of both sides to cancel out the square from the b

√b² = √25

b = 5

Hope this helped!

~Just a girl in love with Shawn Mendes

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Which of the following expressions are equivalent to 6 + (-4) - 5
Mila [183]

Answer:

B and C

Step-by-step explanation:

All you need to do is find the answer for all of them and see which ones match

Original:

6 + (-4) - 5

6 - 4 - 5

2 - 5

<u><em>-3</em></u>

This is the answer for the original expression, now we need to see which one is the correct match....

A. -(-6 + 4 ) - 5

2 negatives being subtracted gives you a positive

6 + 4 - 5

10 - 5

5

Incorrect, so now we know its not A

B. 6 - 4 - ( -5)

Again 2 negatives give you a positive

6 - 4 + (5)

6 - 9

-3

Correct, so now we know its B

C. 6 - (4 + 5)

PEMDAS so do the parenthesis first

6 - 9

-3

Correct, so now we it's C.

D. 6 + 4 - 56

10 - 56

-46

Incorrect, so now we know its not D

E. -(-6) + (-4) - (-5)

Again, 2 negatives equal a positive

6 - 4 + 5

2 + 5

7

Incorrect so now we know its not E

The correct answer is C

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0
3 years ago
John rides his bike with a constant speed of 20 km/h. How far can he travel in 2 1/2 hours?
Olegator [25]

Ok so,

20*2= 40

20*1/2=10

40+10=50

So Johncan travel 50 km in 2 1/2 hours.

Hope this helps :)

4 0
3 years ago
The diagram shows a regular dodecagon.Work out the size of one interior angle
nikdorinn [45]

Answer:

150°

Step-by-step explanation:

number of terms=12

sum of exterior angles=360

one exterior angle=360/12=30

interior angle=180-30=150°

5 0
3 years ago
Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 8 terms
arlik [135]
First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
15 = -3 r^(2-1)
-5 = r
r = -5

Then, we can find the sum by the expression:

S(n) = a(1) ( 1 - r^n) / 1-r
S(8) = -3 (1 + 5^8) / 1+5
S(8) = -195313
3 0
3 years ago
PLEASE HELP ME!!! WHOEVER HELPS ME AND GETS IT RIGHT WILL GET BRAINIEST!!!
Kamila [148]
(0,6) is the correct answer

3 0
3 years ago
Read 2 more answers
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