1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
4vir4ik [10]
3 years ago
8

What is the length of the hypotenuse of the right triangle shown below? If necessary, round your answer to the nearest hundredth

.

Mathematics
2 answers:
kolezko [41]3 years ago
8 0
It is ten units, as the two sides are of 6 and 8 so you must square them both, add them together (which gives you 100) and then square root that, which gives you 10

meriva3 years ago
5 0
Perpendicular = 5 - (-3) = 5+3 = 8
base = 4 - (-2) = 4+2 = 6

Now, Apply the Pythagoras theorem, 
H² = P² + B²
H² = 8² + 6²
H² = 64 + 36
H = √100
H = 10 units

In short, Your Answer would be Option A

Hope this helps!
You might be interested in
Thanks if u help ✨:)
faltersainse [42]

Answer:

D.mode

Step-by-step explanation:

4 0
3 years ago
4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t
Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

a_{n}=a_{1}r^{n-1}

a_{1} = the first term of the series

r = the geometric ratio

a_{1} would represent the height at which the ball is first dropped. Therefore:

a_{1} = k

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

r=\frac{3}{4}

Our general term would be:

a_{n}=a_{1}r^{n-1}

a_{n}=k(\frac{3}{4}) ^{n-1}

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

k represents the initial height:

k = 235\ ft

n represents the number of times the ball bounces:

n = 6

Plugging this back into our general term of the geometric series:

a_{n}=k(\frac{3}{4}) ^{n-1}

a_{n}=235(\frac{3}{4}) ^{6-1}

a_{n}=235(\frac{3}{4}) ^{5}

a_{n}=55.8\ ft

a_{n} represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. ​

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

S_{n}=\frac{a_{1}(1-r^{n})}{1-r}

We already know these variables:

a_{1}= k = 235\ ft

r=\frac{3}{4}

n = 12

Therefore:

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }

S_{n}=(4)(235)(1-\frac{3}{4} ^{12})

S_{n}=910.22\ ft

8 0
2 years ago
10% of Glen's coins are from Denmark. If he has 11 coins from Denmark, how many
denis23 [38]

Answer:

9

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? A.
rusak2 [61]

Answer:

The answer is c

Step-by-step explanation:

You have to do everything backwards,

-9 divide it by 3 to get -3, then add seven to that answer

5 0
3 years ago
Read 2 more answers
What number would you add to the equation below to complete the square?x2 + 4x = 0?
julia-pushkina [17]
------------------------------------------------------------------
Equation
------------------------------------------------------------------
x² + 4x = 0

------------------------------------------------------------------
Add a constant
------------------------------------------------------------------
x² + 4x + (4/2)² - (4/2)²  = 0   ← Add 2² to form perfect square

------------------------------------------------------------------
Evaluate bracket
------------------------------------------------------------------
x² + 4x + 2² - 2² = 0

------------------------------------------------------------------
Form the perfect square
------------------------------------------------------------------
(x + 2)² = 4 

------------------------------------------------------------------
Square root both sides
------------------------------------------------------------------
(x+2) = \pm √4

------------------------------------------------------------------
Evaluate the square root
------------------------------------------------------------------
(x+2) = \pm 2

------------------------------------------------------------------
Solve x 
------------------------------------------------------------------
x = 2 - 2 or x = -2 - 2

x = 0 or -4

------------------------------------------------------------------
Answer: The constant to add is 4 and the value of x = 0 or -4
------------------------------------------------------------------



7 0
3 years ago
Other questions:
  • What is a prime number out of the numbers above?
    11·2 answers
  • Jeremy has $30. He pays $8 to wash his car. His friend pays back $16 that Jeremy had loaned to him. How much money does Jeremy h
    9·2 answers
  • 8 inch by 6 inch retangular photo inside a 10 inch by 8 inch rectangular fram how much greater is the perimeter of the frame
    15·1 answer
  • Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
    13·2 answers
  • Three boxes of baseball cards weigh 99 pounds how many pounds do 4 boxes weigh
    14·2 answers
  • Whats 13 times 13 first one right gets 10 points
    9·2 answers
  • Need help don't know how to solve ​
    15·2 answers
  • Can someone help me please
    9·1 answer
  • A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulati
    13·1 answer
  • PLZ HELP want to know if its right
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!