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
Andru [333]
3 years ago
7

3. Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg 8ft long and the hypotenuse is 1

0ft long

Mathematics
2 answers:
Shtirlitz [24]3 years ago
6 0
A² + b² = c² ⇒
a² + 8² = 10² ⇒
a² = 10² - 8² ⇒
a² = 100 - 64⇒
a² = 36 ⇒
a = √36⇒
a = 6

the length of the leg is 6ft long
Kisachek [45]3 years ago
3 0

10 squared minus 8 squared.

=36

square root 36= 6

You might be interested in
Sixty-two more than nine times a number 116
alina1380 [7]

Answer:

62>(9*116)

Step-by-step explanation:

7 0
3 years ago
Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that
amm1812

Answer:

The value is  P(| \^ p -  p| < 0.05 ) = 0.9822

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.52

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           \mu_{x} =  p =  0.52

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       \sigma  =  \sqrt{\frac{ p(1- p)}{n} }

=>      \sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }

=>      \sigma  =   0.02106

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))

  Here  \^ p is the sample proportion  of persons with a college degree.

So

 P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )

Here  

    \frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }]

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ]

=>  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  P(Z <  2.37 ) = 0.9911

and

  P(Z <  - 2.37 ) = 0.0089

So

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822

=> P(| \^ p -  p| < 0.05 ) = 0.9822

3 0
3 years ago
WILL GIVE BRAINLIEST The sequence 7 21 63 189......shows the number of jumping jacks justin did each week, starting with the fir
vovangra [49]

A

this is a geometric sequence since there exists a common ratio r between the terms

r = \frac{21}{7} = \frac{63}{21} = \frac{189}{63} = 3

B

to obtain the next term in the sequence multiply the previous term by 3

a_{n+1} = 3 a_{n} ← recursive rule

C

the n th term of a geometric sequence is

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

where a_{1} is the first term in the sequence

a_{n} = 7 × 3^{n-1} ← explicit rule


3 0
3 years ago
How do you simplify 4x^6/2x-6
Ahat [919]
4x^6 / (2x - 6) 

4x^6 / 2(x - 3) 

2x^6 / (x - 3)
3 0
3 years ago
Read 2 more answers
Which of the following is a factor of 2xy+8x-8x-32
IrinaVladis [17]
If you simplify 2xy+8x-8x-32 you get 2xy-32
5 0
3 years ago
Other questions:
  • An electronics company has developed a new hand held device. The company predicts that the start up cost to manufacture the new
    7·1 answer
  • a can of paint will cover 108 square feet. How many cans of paint are needed to paint a wall 6 feet high and 75 feet long?
    15·1 answer
  • a bag of 13 marbles contains 2 greeb, 7 blue, 1 yellow, and 3 red marbles. if a blue marble is oulled at random and not put back
    7·1 answer
  • Probability and Statics QUESTION!!!! please help!!
    12·1 answer
  • IM STUCK PLEASE HELP
    7·1 answer
  • Given that sin θ ≈ −0.866, where π &lt; θ &lt; 3 , 2 π find cos θ.
    13·1 answer
  • LITTERLY HELP ME PLEASEE..... 2/x-4x/2x-3=-2<br> PLEASEE I INSERTED A PIC
    9·1 answer
  • WILL<br><br><br><br> GIVE BRAINLIST <br><br><br><br> ANSWER<br><br><br> MATH
    15·1 answer
  • Of the students attending a rock concert, 80 of them were 8th graders. Of these 8th graders, 25% of them were wearing ear plugs.
    9·1 answer
  • How do you find the derivative
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!