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3 years ago

Describe how the Pythagorean Theorem can be used to find a missing side length in a right triangle.

Mathematics

1 answer:

svetoff [14.1K]3 years ago

3 0

You use the equation a²+b²=c²

c = the hypotenuse

a and b represents the legs

Here are two examples

Example 1

Side a = 6

Side b = 8

6²+8²=c²

Square the legs

36+64=x²

Sdd

100= x²

Now we use the square root to find x

√100=√x

Solve the square root

10 = x

Example 2

side a = 3

hypotenuse = 7

3²+x²=7²

Square the known numbers

9+x²=49

Subtract 9 from 49

x²=40

Find the square root

√x=√40

x= 6.32 or 2√10

Hope this helps :)

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A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one

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Answer: 96

Step-by-step explanation:

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4 years ago

Brainiest If Correct + 50pts ---The cylinder with base radius 5 and height 12 is inscribed in a right rectangular prism. Find th

Romashka [77]

Answer:

SA = 680 units^2

V =1200 unit^3

Step-by-step explanation:

If the radius is 5 then the diameter is 2r = 2*5 = 10

The height would remain the same

Surface area of a prism is given by

SA = 2 (lw+lh+hw)

l =d = 10 w = d = 10 h = 12

SA = 2 ( 10*10 + 10 * 12+ 12* 10)

SA = 2( 100+120+120)

SA = 2(340)

SA = 680 units^2

V = l*w*h = 10*10*12 =1200 unit^3

4 0

4 years ago

A polling organization announces that the proportion of American voters who favor congressional term limits is 64%, with a 95% c

EastWind [94]

Answer:

Hence when C.I. is 80% then Margin of error will be 1.9591%

Step-by-step explanation:

Given:

1st Margin of error(MOE)=3%

1st C.I.=95%

2nd C.I.=80%

To Find:

MOE at 80%

Solution:

The proportion is 64 % i.e. is constant for both MOE

Proportion is given by (P),

P=x/n

Where x= favors congressional terms

n= total voters or sampled voters.

There values are same or constant.

i.e standard deviation is also constant

Now Formula for MOE is given by

$MOE=Z*[Standard devation/Sqrt(n)]$

here Z is value for confidence interval

MOE is directly proportional to the Z-value

$MOE=K*Z-value$ ... where k is proportionality constant.

$MOE/Z-value$ ....ratio is constant

So , for 95 % Z=1.96 and for 80% Z=1.28

$MOE(1st)/(Z-value 1st)=MOE(2nd)/(Z-value 2nd)$

$3/1.96=MOE(2nd)/1.28$

$MOE(2nd)=(3/1.96)*1.28$

$MOE(2nd)=1.5306*1.28$

$=1.9591$ %

5 0

3 years ago

Sally spins a fair spinner numbered 1 - 5 and rolls a fair dice.

Elza [17]

Answer: Probability of obtaining a multiple of 3 and a factor of 10 is given by

$\frac{1}{10}$

Step-by-step explanation:

Since we have given that

There is a fair spinner numbered 1-5 and a fair dice

Total number of outcomes of fair spinner = 5

Total number of outcomes of a fair dice = 6

Let Event A: Getting a multiple of 3 on a spinner

Event B: Getting a factor of 10 on a fair dice

The possible outcomes of multiple of 3 on a spinner is

$3$

The possible outcomes of factor of 10 on a fair dice are

$1,2,5$

So,

$P(A)=\frac{1}{5}$

and

$P(B)=\frac{3}{6}=\frac{1}{2}$

Since A and B are independent events so,

$P(A\ and\ B)=P(A).P(B)\\\\P(A\ and\ B)=\frac{1}{5}\times \frac{1}{2}\\\\P(A\ and\ B)=\frac{1}{10}$

Hence, Probability of obtaining a multiple of 3 and a factor of 10 is given by

$\frac{1}{10}$

4 0

3 years ago

Tanya saves $25 each week until she has enough to buy a coat she's been eyeing

elena-s [515]

The domain and the range of a function are the possible input and output values, the function can take.

The domain and range of Tanya's savings is [0,10) and [0,245], respectively.

Let:

$x \to weeks$

$y \to amount$

So, the equation is:

$y = 25x$

The domain is the number of weeks she used to save.

When $y = 245$ (i.e. the total savings), we have:

$245 = 25x$

Solve for x

$x = 245/25$

$x = 9.8$

Approximate

$x = 10$

Hence, the domain of the function is: [0, 10)

The range is the minimum and maximum amount she can save.

Before she starts to save, she has $0.

At the end of the 10th week, she has $245.

Hence, the range of the function is [0,245]

Read more about domain and range at:

brainly.com/question/1632425

3 0

3 years ago