The hypotenuse of a right triangle is 12.4 ft. One of the other two sides is 5.8 ft How
long is the third side?

Answers

Answer 1
Use Pythagorean theorem
a^2 + b^2 = c^2
Hypothenuse = 12.4
Let’s assume a = 5.8
Plug into the equation
5.8^2 + b^2 = 12.4^2
33.64 + b^2 = 153.76
b^2 = 120.12
b = square root of 120.12
10.9599270071 (calculator used)

Solution: around 11 ft

Related Questions

Evaluate the expression below when x = 2 and z = 12. z + 5x^3

Answers

Answer:

52

Step-by-step explanation:

z + 5x ^3

12 + 5*(2^3)

12 + 5 * 8

12 + 40

52

As in Example 1, suppose a die is rolled. Find each probability.

Answers

It will be 16.67% each because the probability of any number being at the top (after it is rolled) is 1/6 and 1/6 as a percentage is 100/6 = 16.6666%

If we roll 40 times, how many rolls would you expect to win?

Answers

Answer:

what

Step-by-step explanation:

ok first of all roll what. If its a coin you will expect to win 20 times . if its a dice than it will be around 6.67 times.

ery Test
1
Select the correct answer.
Who is a consumer?
OA.
a person who buys items in a store
OB.
a person who owns a store
O C.
a person who works at a store

Answers

À because a consumer is the customer so your answer would be A

Jorge randomly selects a digit from 0 to 9. What is the probability that the digit he selects is a prime number?

Answers

Step-by-step explanation:

{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9

{2,3,5,7}---set of prime numbers from 0 tp 9

there are 10 numbers in the first set and 4 numbers in the second set.

4/9 is the probability that the digit he selects is a prime number

Hope that helps :)

Help


See the picture

Answers

Answer:

38.63Step-by-step explanation:

Area x height

Answer:

SA = 12 mi²

Step-by-step explanation:

bottom = 2 x 2 = 4 mi²

one side = 1/2(2)(2) = 2 mi²

SA = 4(2) + 4 = 12 mi²

Mr. Simpson has 5 boxes of paintbrushes in his art room. After the first week of school, he buys 3 more paintbrushes. The expression below shows the total number of paintbrushes in Mr. Simpson's art room when prepresents the number of brushes in each box. 3 + px 5 If each box contains 8 paintbrushes, how many total paintbrushes are in Mr. Simpson's art room? (Show your work or explain how you got your answer in words)​

Answers

Answer:

5+3+8 or if its wrong then 5+3+8+5+3 or just one 3.

Step-by-step explanation:

On a​ map, 1 inch equals 20 miles. Two cities are 5 inches apart on the map. What is the actual distance between the​ cities?

Answers

Answer:

100 miles

Step-by-step explanation:

20x5

Anna spent 3/4 of her money for a dress, She has 2.00 left, How much does she have at first?

Answers

Anna had $8.00 because 2*4=8 which also means Anna spent $6.00 on her dress.

the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer leg​

Answers

Answer:

Short leg = 24inches

Long leg = 32inches

Hypotenuse = 40inches

Step-by-step explanation:

Given:

shorter leg is 8inches shorter than the longer leghypotenuse is 8inches longer than the longer leglonger leg = x inches

Pythagorean Theorem:

a²+b²=c² → (x-8)²+ x² = (x+8)²

Solving for both sides:

x² - 16x+ 64 + x² = x²+ 16x + 64

More Painful Solving:

x² - 32x = 0

x(x-32) = 0

 

x=0 or 32

Can't use the 0 so we trash it!

x=32

add 8 to get the hypotenuse and subtract 8 to get the short leg

Challenge #1 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue area GOAL: Create two groups of cards with the SAME SUM using as many cards as possible. Submit 8,7,6,3,2,1​

Answers

Answer:

ok

Step-by-step explanation:

:)

Santo paid $16.25 to buy 5 children tickets and 1 adult ticket. Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets. If both people paid the same price per ticket what was the price of an adult ticket

Answers

Answer:

The price of an adult ticket it $5

Step-by-step explanation:

To solve this, we would find the system of equations. We would set up two equations that will represent the situation.

Let c = price per children ticket

Let a = price per adult ticket

Santo:

5c + 1a = 16.25

Hulda:

4c + 3a = 24

5c + 1a = 16.25 -> a = 16.25 - 5c

4c + 3a = 24

4c + 3(16.25 - 5c) = 24

4c + 48.75 - 15c = 24

-11c + 48.75 = 24

       -48.75   -48.75

-11c = -24.75

/-11       /-11

c = 2.25

5c + a = 16.25

5(2.25) + a = 16.25

11.25 + a = 16.25

-11.25        -11.25

a = 5

a = $5 , c = $2.25

This question gave me a head ache

Justin is marking a border for a garden. He walks 200 feet to the east, then turns and

walks 120 feet due south, before finally walking in a straight line back to his original

starting point. To the nearest foot, how far does Justin walk in all?

Answer

feet

Answers

Answer:

d = 233.23 feet

Step-by-step explanation:

Given that,

Justin walks 200 feet to the east, then turns and  walks 120 feet due south.

We need to find the total distance walked by Justin. Let the distance be d.

We can use the Pythagoras theorem to find it such that,

[tex]d=\sqrt{d_1^2+d_2^2} \\\\d=\sqrt{200^2+120^2} \\\\d=233.24\ feet[/tex]

So, he walk 233.23 feet in all.

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)

Answers

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

68% confidence level

So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

What is the p-value?

The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.

In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.

[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]

where z has a p-value of 1-[tex]\alpha /2[/tex]

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

n = 100, [tex]\pi[/tex] = 20/100 = 0.2

So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]

z = 0.995

The lower limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]

The upper limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]

Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Learn more about p-value ;

https://brainly.com/question/15407907

Please help meeeeeeeeeee

Answers

I hope this helped

Step-by-step explanation:

Ok

First : Find the area by using length x width x height

Second: 18in (long/length) x 12in (wide/width) 10in (high/height)

last : 18 x 12 x 10

=2,160 in/ C

-3y-5=10 Show your work please, thank you.

Answers

Answer:

-5

Step-by-step explanation:

-3y = 10 + 5

-3y = 15

y = - 5

Answer:

hi

Step-by-step explanation:

-3y-5=10

-3y=10+5

-3y=15

y=15/ -3

y= -5

hope it helps

have a nice day

Which values are solutions to the inequality below?
Check all that apply.
x2 < 81
A. 6
B. 9
C. 10
D. -4
E. -9
F. -12

Answers

Answer:

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

help plssssssssssssssssss

Answers

Answer:

3) Not equivalent

4) Equivalent

5) Equivalent

(Multiply by two for the last two questions)

Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jack and Diane to have saved the same amount of money.​

Answers

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

6.5x - 8.25x = 9 - 37

-1.75x = -28

x = 16

The number of weeks when Jack and Diane would have the same amount of money is 16 weeks.

Equations that represents the amount of money saved

Total amount of money saved = amount the person has + (amount the person saves per week x number of weeks)

Total amount of money Jack saves = $37 + ($6.50 x w)

Total amount of money Diane saves = $9 + ($8.25 x w)

Number of weeks when they would have the same amount of money

When Jack and Diane would have the same amount of money, the equations that represent the total amount of money saved for both individuals would be equal.

$37 + $6.50w = $9 + $8.25w

combine similar terms

$37 - $9 = $8.25w - $6.50

$28 = 1.75w

Divide both sides of the equation by 1.75

w = 16 weeks.

To learn more about how to determine when two people would have equal quantities, please check: https://brainly.com/question/25711114

A worker on an assembly line is required to take a short break every 90 to 120 minutes. The worker begins his job at 7:45 a.m. Which is not a time the worker could take his break?

Answers

Answer:

7:46 - 8:59

Step-by-step explanation:

This is their first 1-89 minutes of work, thus they are not able to go on break yet.

PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?

Answers

Answer:

B. Straight angles

Step-by-step explanation:

When combined, they form a straight line. They are also supplementary angles. When added together, they = 180 degrees.

Answer:

C. Alternate interior angles

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest, select which is greater than,equal to, less than for all

Answers

Answer:

Step-by-step explanation:

1. Less than

2. Greater than

3. Equal to

4. Greater than

5. Equal to

6. Less than

Kira has $2,250 sitting in a savings account that
earns 2.75% simple interest each year. If she
leaves it there untouched, how much will be in
the account after 8 years?

Answers

Answer:

2 250×96×2.75=5 940

Step-by-step explanation:

1 year=12 months

8 year's =96 Month's

first thing you need to do is to convert Years into months

if you add an exclamation I will give you a Brain list


A male animal can weigh up to 6,000 pounds.
How many tons is 6,000 pounds?
6,000 pounds is equivalent to what
tons.

Answers

Answer:

it would be 3 tons if I'm correct

Answer: 3 tons

Step-by-step explanation:

1 ton is equal to 2,000 pounds.

Divide 6,000 from 2,000 to find how many tons the animal weighs.

6,000/2,000=3.

Hope this helps!

Wich number line shows the graph x<-6?


The other side of the number line is -5 and -10​

Answers

The first one is the right answer

Answer:

It is the first one

Step-by-step explanation:

Open circle is greater or less than.

Closed circle is greater than or equal to and less than or equal to.

Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age?

Answers

Answer:

Mikhail's age is 48

Step-by-step explanation:

Answer:

107-11=96

96÷2=48

so Mikhail is 48 years old

four tenths plus four ninths

Answers

Answer:

38/45

Step-by-step explanation:

4/10+4/9 Simplify.

2/5*4/9    Find a common denominator (45).

2/5*9/9=18/45

4/9*5/5=20/45

18/45+20/45=38/45

Hope this helps and have a great day C:

Help quick!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Area of this pi r²/2

3.142*324/2=3.142*162=509,004

Answer:

56.556

Step-by-step explanation:

In order to find the areaof a cirlcle the equation is pi(r^2)

radius is half of a diameter so i did 18 divided by 2 =6

3.142(6^2)=113.112

but since its only half a cirle i divided my answer by 2 in order to get 56.556

Is (9,-5) a solution to the inequality y < -1/3x -2?
yes
no

Answers

Answer:

No

Step-by-step explanation:

[tex]y<-\frac{1}{3} x-2[/tex]

put in 9 for x

y<-\frac{1}{3} 9-2

y<-3 -2

y<-5

then put in -5 for y

-5<-5

Since they are the same number that makes the equation impossible

Hope that helps :)

one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored

Answers

The boy scored:

500 x 80% = 400 (marks)

The boy scored 500*80%= 400marks
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