please show all work

Please Show All Work

Answers

Answer 1

Answer:

[tex]x=21.6[/tex]

Step-by-step explanation:

Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

[tex]a^2 + b^c = c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Use the Pythagorean theorem in the right triangle with legs (15) and (18),

[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]

Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)

[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]

Use the Pythagorean theorem one final time in the larger triangle,

[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]

Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,

[tex]x^2+324+549=x^2+30x+225[/tex]

[tex]x^2+873=x^2+30x+225[/tex]

Inverse operations,

[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]


Related Questions

What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.

The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2

Maya has 200 songs on her cell phone. Of these songs, 48 are jazz songs. What percent of Maya's songs are jazz songs? Enter the correct answer in the box.

Answers

Answer:

24%

Step-by-step explanation:

48/200= 0.24, which is equal to 24%.

ANSWER: 24%

here’s a way to calculate percentage:

48 x
—— = ——
200 100

we have to find “x” so cross multiply (we can only cross multiply 48 & 100 since you can’t multiply x & 200 because x isn’t a number.) So, 48*100= 4800. then divide by the number left over number (200.) So 4800/200= 24

Happy to help!

If y=x+2 then what is the slope and the y intercept?

Answers

Answer:

y-intercept is (0, 2) and the slope is 1

List in order from least to greatest: 0, |-4|, |12|, -7, 2

Answers

The answer is A bro, easy

Answer:

-7, 0, 2, |-4|, |12|

Step-by-step explanation:

absolute value (| |) means that the sign of the number is always positive

can anyone help me please

Answers

Answer:

it just depends what gumball its talking about

Step-by-step explanation:

Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.

Answers

6
step by step explanation:

PLEASE HELP ITS DUE IN 10 MINUTES IF YOU PUT A LINK I WILL REPORT YOU AND I WILL GIVE BRAINLIEST

Answers

Answer:

|x + 7| ≥ 2 is the inequality

Step-by-step explanation:

x - b ≥ c    or    x - b ≤ -c

x ≥ b + c = -5     or x ≤ b - c = -9

b + c = -5

b - c = -9

2b = -14

b = -7                             -7 + c = -5

                                             c = 2

x - (-7) = x + 7

So, |x + 7| ≥ 2 is the inequality

ken makes 75 cookies. He gives 3/5 of them to his classmates and 1/3 of them to his teachers. He brings the rest home. Ken brings home _______ cookies.

Answers

Answer:

5 cookies

Step-by-step explanation:

3/5 = 9/15 1/3=5/15

5/15+9/15=14/15.

75 ÷ 15 = 5

Ken will bring home 5 cookies

The angle of depression from a bird sitting on the top of a telephone pole to the base of a tree is 61°. If the telephone pole is 17 feet tall, what is the distance between the pole and the tree?

Answers

Hello, I Am BrotherEye

Answer:

Perhaps This Will Help!

https://brainly.in/question/3424477

Step-by-step explanation:

⊂ヽ
\\ Λ_Λ This is Memecat. Help
\( 'ㅅ' ) memecat take over
> ⌒ヽBRAINLY by pasting her
/ へ\ in 999 other servers
/ / \\ or she will never
レ ノ ヽつ be a meme
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what is 3×3?

Answers

Answer:

9

Step-by-step explanation:

999

Find the value of x in the triangle shown below.
24 74

Answers

Answer:

x =82

because 180 - (24 + 74)= 82

What is the slope of the line given by the equation below? y + 2 = -3(x - 5)​

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

PLZ AWNSER NOW PLZ I NEED IT NOW, PLZ, IF YOU SOLVE IT FIRST YOU WILL GET BRAINLIEST, PLZ.

Answers

Answer:

20.6104.26 answer

74 x 8249

---------------

    100

= 6104.26

19.1861.81 answer

19 x 9799

---------------

    100

= 1861.81

23.29.93 answer

41 x 73

-----------

  100

= 29.93

Step-by-step explanation:

PLEASE MARK BRAINLIEST OR THIS GUY WILL HAUNT U IN UR SLEEP!!!

Ted is five times as old as Roise was when Ted was Roise's age.When Rosie reaches Ted's current age,the sum of their ages will be 72 . Find Ted's current age.​

Answers

Answer: 60

Lets make the people into variables first

Ted = x

Rosie = y

The sum of their ages is 72 so

x + y = 72

Ted is 5 times as old as rosie was when ted was Rosie's age

x = 5y

Now lets put in 5y instead of x so we can solve for y

5y + y = 72

6y = 72

y = 12

If y = 12 then we can put that in to get ted's age

x = 5(12)

x = 60

Ted is 60!

Lets check our work,

since we know the sum is 72 we can add their ages to check,

60 + 12 = 72

Yep! This is right.

Hope this helped! If you could mark branliest i'd appreciate it a lot. Let me know if you need anything else!

Answer: 60 is probably the answee

NEED HELP ASAP!!! PLZ HELP!!!!

Answers

Answer:

45.8

Step-by-step explanation:

A cylinder has a radius of 5 centimeters
and a height of 17 centimeters. What is
the total surface area of the cylinder?
Use 3.14 for

Answers

SA for a cylinder = 2 pie r squared + 2 pie r h

= 2 x pie x 25 + 2 x pie x 5 x 17

= 220 pie or 690.8 if you use 3.14 instead of the full value

Can some one help me on 11- 12

Answers

PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!! PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!!

Answer:

11. 6 feet  12. 140 inches cubed

Step-by-step explanation:

To get the cylinder use the formula  [tex]h=\frac{V}{\pi r^{2} }[/tex].

To get the volume on the laptop use the formula volume=length x width x height.

Please I need help now Please help now
8. a) What are the odds of picking a jack, queen or king at random from a deck of cards?

b) What are the odds in favor of rolling a number greater than 3 on a die

Answers

Answer:

a) 3/13

b) 1/2

Step-by-step explanation:

a) In a deck of 52 cards there are 4 Kings, 4 Queens and 4 jacks. So the probability of drawing those cards is (4+4+4)/52 = 12/52 = 3/13.

b) 1/2 because the numbers greater than 3 on a dice is 4, 5, and 6 which is half of the available options.

Solve the quadratic equation by using the quadratic formula 3x^2x-3=0

Answers

Answer:

The answer is on the attached file, i did it on another uncopy pastable document

Step-by-step explanation:

2.) Olivia is borrowing $60 from her brother at 10% monthly interest. The
interest is to be compounded every month, and her only repayment
will be in full after 3 months. About how much will Olivia pay in
interest?

Answers

Answer:

18 dollars

Step-by-step explanation:

well my teacher tought me to use something called a proportian box when you multiply the 60 * 210 equals 600 divided by 100 equals that 6 dollars of the interest then you multiply by 3 months with gives you 18 dollars in total

hope this helps

need help with please

Answers

y=2x
2x=8x-6
2x-8x=-6
-6x=-6
x=1

Answer:

(1,2)

Step-by-step explanation:

So, if y= 2x...

2x= 8x-6

-6x= -6

x= 1

y=2x

y= (2)(1)

y=2

(1,2)

What is the slope of the line that passes through the points (-2, -5) and (6, 7)? A.3/2 B.2/3 C.-3/2 D.-2/3

Answers

Answer:

3/2

Step-by-step explanation:

y2 - y1/ x2 - x1

7 -(-5) / 6 - (-2)

12/ 8

3/2

What are the solutions for 4x^2+81=36x

Answers

The answer is x= 9/2

What is the slope of the line that passes through the points (3,2) and (-1,-4)? Write your answer as a fraction in simplest form

Answers

Answer:

Slope: -1/2

Step-by-step explanation:

Take a look at the slope formula

2-(-4)/3-(-1)

=-2/4

=-1/2

Anita has a success rate of 80% on free throws in basketball. She wants to know the estimated probability that she can make exactly four of five free throws in her next game. How can she simulate this scenario? Categorize each simulation of this scenario as correct or incorrect.

Roll a six-sided die five times. The
numbers 1 to 4 represent a make,
and numbers 5 and 6 represent a
miss.

Spin a spinner with three equal
sections five times. On the spinner,
one section represents a miss and
two sections represent a make.

Generate a set of five numbers using
a number generator with the numbers
0 to 9.The numbers 0 to 7 represent a
make, and 8 and 9 represent a miss.

Generate a set of five numbers using
a number generator with the numbers
0 to 5.The numbers 0 to 3 represent a
make, and 4 and 5 represent a miss.

Spin a spinner with five equal sections
five times. On the spinner, four sections
represent a make and one section
represents a miss.

Answers

Answer:

Roll a six-sided die five times. The  numbers 1 to 4 represent a make,

and numbers 5 and 6 represent a  miss. (Correct)

Spin a spinner with three equal  sections five times. On the spinner,

one section represents a miss and  two sections represent a make. (Incorrect)

Generate a set of five numbers using  a number generator with the numbers

0 to 9.The numbers 0 to 7 represent a  make, and 8 and 9 represent a miss. (Correct)

Generate a set of five numbers using  a number generator with the numbers

0 to 5.The numbers 0 to 3 represent a  make, and 4 and 5 represent a miss. (Incorrect)

Spin a spinner with five equal sections  five times. On the spinner, four sections  represent a make and one section  represents a miss. (Correct)

Step-by-step explanation:

Answer:

Roll a six-sided die five times. The  numbers 1 to 4 represent a make,

and numbers 5 and 6 represent a  miss. (Correct)

Spin a spinner with three equal  sections five times. On the spinner,

one section represents a miss and  two sections represent a make. (Incorrect)

Generate a set of five numbers using  a number generator with the numbers

0 to 9.The numbers 0 to 7 represent a  make, and 8 and 9 represent a miss. (Correct)

Generate a set of five numbers using  a number generator with the numbers

0 to 5.The numbers 0 to 3 represent a  make, and 4 and 5 represent a miss. (Incorrect)

Spin a spinner with five equal sections  five times. On the spinner, four sections  represent a make and one section  represents a miss. (Correct)

Step-by-step explanation:

Solve the following equation for x.

Answers

What’s the equation? It’s not a showing a picture attached.

Answer:

Step-by-step explanation: what’s the equation?

pls answer 13 points!! :)

Answers

Answer:

140 lb.

Step-by-step explanation:

Answer:

140 pounds

Step-by-step explanation:

75% of 80 is 60

100% of 80 is 80

80+60 = 140

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

It would be B! :) have a good day

Which expression represents the following statement? Subtract 5 from 7 times the sum of 4 and 2.

7 x (4 ÷ 2) + 5
7 + 4 + (2 ÷ 5)
7 ÷ 4 − (2 + 5)
7 x (4 + 2) − 5

Answers

It’s 7 x (4 + 2) - 5

Find the length of each arc. Use the exact answer

Answers

Answer:

D) 16π/3 ft

Step-by-step explanation:

We solve the above question using the Arc length formula when our central angle is in degrees

The formula is given as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

Hence,

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Arc length = 16π/3 ft

Option D is the correct option

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