The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.

Solve

Answers

Answer 1

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches


Related Questions

Write the equation to find the nth term in the arithmetic sequence. First term:-10 and common difference:2

Step by step

Answers

Answer:

2n - 12

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

Tn = a+(n-1)d

a is the first term = -10

n is the number of terms

d is the common difference = 2

Substitute

Tn = -10 + (n-1)2

Tn = -10 + 2n-2

Tn = 2n -10-2

Tn = 2n - 12

Hence the nth term of the sequence is 2n - 12

what percent is 52.8 of 55? also how did u get itttt

Answers

Answer:

The answer is 96%.

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 55 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 55, so we can write it down as 100%=55.

4. We know, that x% equals 52.8 of the output value, so we can write it down as x%=52.8.

5. Now we have two simple equations:

1) 100%=55

2) x%=52.8

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=55/52.8

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.8 is what percent of 55

100%/x%=55/52.8

(100/x)*x=(55/52.8)*x       - we multiply both sides of the equation by x

100=1.0416666666667*x       - we divide both sides of the equation by (1.0416666666667) to get x

100/1.0416666666667=x

96=x

x=96

now we have:

52.8 is 96% of 55

The ratio of the length to the width of a rectangle is 9:4. The width of the rectangle
is 52 mm. Write and solve a proportion to find the length. Please help!! :(

Answers

Let the length be 9x and width be 4x.

4x = 52

x = 13

Length = 9x = 117 mm

A mobile phone plan charges $0.06 per minute for calls during the day and $0.02
per minute for calls during the evening. If the bill for one month was $17.86 and
182 min of evening calls were made, how many daytime minutes were used?​

Answers

Answer:

115.6 minutes were used during the day time rounded to nearest 10 is 116  

Step-by-step explanation:

WILL GIVE BRAINLIEST PLZ HURRY!!!!!
Aida bought a costume box containing 50 costumes for $300. She sold all of the costumes and made a $250 profit. She sold all of the costumes for the same price. Use the equation 50c−300=250, where c is the selling price of each costume. What was the selling price of one costume in dollars?

Answers

Answer:

Step-by-step explanation:

11

You and your 4 friends plane a surprise party. Each of you contributed the same amount of money "m" for food. a) Wright an algebraic expression for the total amount of money contributed for money? b) Evaluate you expression if each person get $5.25 PLEASE HELP ME OF U KNOW I WILL THANK U IF YOU WRITE THE ANSWER FOR MR THANK YOU

Answers

Answer:

a) 5m

b) $26.25

Step-by-step explanation:

You and your 4 friends plane a surprise party. Each of you contributed the same amount of money "m" for food.

a) Write an algebraic expression for the total amount of money contributed for money?

Let the total Amount of money each person contributed be = m

Since each person contributed the same amount , and there are 5 people(you and 4 friends)

The total amount of money contributed = 5 × m

= 5m

b) Evaluate you expression if each person get $5.25

From the answer in question a, we have algebraic expression = 5m

m = $5.25

Total cost = 5 × $5.25

= $26.25

please help so i can pass

Answers

Answer:

5.385 = 5.4

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

x^2+y^2=c^2

4+25=c^2

c^2=104

c=5.4

6. Name the first step in solving 2x - 5 = 37.
a. Add 5 to each side.
b. Divide each side by 2x.
c. Subtract 5 from each side.
d. Multiply 2x to each side.

Answers

A. Add 5 to each side.

Select the answer that correctly orders the set of numbers from greatest to least.

0.25, start fraction 2 over 5 end fraction , 32%, start fraction 7 over 14 end fraction
A. start fraction 7 over 14 end fraction, start fraction 2 over 5 end fraction, 32%, 0.25
B. start fraction 7 over 14 end fraction, 0.25, 32%, start fraction 2 over 5 end fraction
C. start fraction 7 over 14 end fraction, 32%, start fraction 2 over 5 end fraction ,0.25
D. start fraction 2 over 5 end fraction, start fraction 7 over 14 end fraction, 32%, 0.25

Answers

• C good luck
• give brainlist

Answer:

I think the answer would be C, I hope it helps! :) please mark me the brainiest

Helppppppppppppp pLs

Answers

Answer:

The expression that has a value greater than 4³ is 3⁴, because 3 is equal to 81 while 4³ is equal to 64

what is x and y -6x+8y=26

Answers

Answer:

x=-13/3

y=13/4

Step-by-step explanation:

6x + 15 = 8x + 45
Problem:
What value of x makes this equation true?
A -15
B 15
C 17
D-18

Answers

Answer:

the answer is A -15

Step-by-step explanation:

Hope this helps!

Answer:

-15

Step-by-step explanation:

6x+15=8x+45

or,6x-8x=45-15

or,-2x=30

or,x=30/-2

or,x=-15

What is the slope of the line?

Answers

Answer:

slope of the line is one

Step-by-step explanation:

goes up one, over one.

The slope is 1

To find slope, you first find two points on a graph. Pick one of the two and count to the other one and that gives you your slope! I hope I helped! :)

please solve this question ASAP 10th Class CBSE Board​

Answers

Answer:

hloooooooooooooooooooo

Eight times the sum of a number and 2 equals 3.​

Answers

Answer:

8(x+2)=3

Step-by-step explanation:

Solve the quadratic equation x2−5x=−20 by completing the square.

Answers

Answer:

x = [tex]\frac{5}{2}[/tex] + [tex]\sqrt[i]{55}[/tex]/2

Every day of the week. Jordan eams $4 per hour for delivering newspapers He also earns a weekly bonus of $14 if he arrives on time to work each day Last week Jordan arved on time to work every day and earned a total of $108 for h hours of work Based on this situation, which belongs to p in the form px + q = ? ​

Answers

Answer:

(D) Jordan worked a total of 21 1/2 hours.

Step-by-step explanation:

Solution: m=money made

h=hours worked

m=$4(h)+$10

$96=$4(h)+$10 subtract the 10

$86=$4(h) divide by 4

21.5=h

Solve for x.

x+23=−22

someone help

Answers

Answer:

x = - 45

Step-by-step explanation:

x+23(-23)=−22 (-23)First subtract 23 from both sides

x = - 45

Read the problem in the box below. See if you can figure out the most logical
answer.
Dancing Pools sells swimming pools in 4 sizes. The small pool is
72 feet long and 18 feet wide. The medium pool is 80 feet long and
20 feet wide. The large pool is 88 by 22. If the new superduper
Coffeetable pool is 96 feet long, how wide will it be?

Answers

Answer:

I believe the answer would be 24

Step-by-step explanation:

the sequence of the pool length is by 8's

72 + 8= 80

80 + 8= 88

88 + 8= 96

and the same goes to the width and it goes by 2's

18 + 2= 20

20 + 2= 22

22 + 2= 24

If a woman has 10000 apples and sells 109 how many apples does she have left??

Answers

Answer:

Step-by-step explanation:

you had to subtract

10,000-109=9,891 left

Answer:9891

Step-by-step explanation

WILL MARK YOU BRAINLIEST

Answers

Answer:

m = 132⁰

Step-by-step explanation:

...............

can anyone please help me:)!​

Answers

y = -3x + 5
the points to plot on the graph: (-1, 8) , (0, 5) , (1, 2) , (2, -1)
connect those points and the graph and that should look like y = -3x + 5 which has a slope of -3.

Calculate each unknown side length.
Round your answer to the nearest tenth.
11 in.
yin.
xin.
8.8 in.
10 in.

Answers

Answer: 11 in
Explanation: I hope this helps you

What is the value of y ,if y = 1/x ,take x= -2/3
2/3
1/2
-3/2
-2/3

Answers

Answer:

I have made in above picture

is 1 1/2 equal to 1 to 2? why or why not

Answers

Answer:

No

Step-by-step explanation:

1 to 2 is 1/2

Answer:

No. See below.

Step-by-step explanation:

I've never heard anyone say this out loud. However, on Brainly, it is always interpreted as 1 1/2 = 1.5. So it is 1 plus 1/2.

1 to 2 is a ratio. For every set of car keys I have 2 house keys.

1 to 2 can be written either as 1/2 or 1:2 depending on how touchy your instructor is.

So no. 1 1/2 is not the same as 1:2

Which number line can be used to find the distance between (-1, 2) and (-5, 2)?

Answers

Answer:

A

Step-by-step explanation:

I'm assuming this is in terms or the x axis so:

-1, -5

They are both pieces of the coordinates that are used to find the point in terms of the x axis

A (the first one)

Answer:

aaaaaaaaaa

Step-by-step explanation:

what information can you automatically find just by looking at a function in standard form​

Answers

Answer: The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equation.

The answer above should be correct, but I believe it is, but can you please mark me BRAINLEST please?!

Tony has $12 to buy apples and bananas for a fruit salad. Apples cost $2 per pound and bananas cost $1 per pound. Write and graph an inequality to describe the situation. Then give two possible combinations of pounds of apples and bananas that Tony can buy.

Answers

Answer:12=2x+1y

Step-by-step explanation:

Answer:

Step-by-step explanation:

$4 4 pounds of bananas, $8 4 pounds of apples

$6 6 pounds of bananas, $6 3 pounds of apples

x + y = 1 and 5x - 4y = -7 How would I solve by substitution?

Answers

Isolate x in the first equation. X = 1-y
Now use that value if x in the other equation.

5(1-y) -4y =-7
5 -5y -4y =-7
-9y =-12
Y = 12/9 or 4/3

Substitute that value of y into either equation to solve for x.

X + 4/3 = 1
X =-1/3

Solution is (-1/3, 4/3)

3-(-2+4i)-(5i)
how would i simplify this

Answers

Answer:

5-9i

Step-by-step explanation:

3+2-4i-5i

5-9i

3-(-2+4i)-(5i) can be simplified to 3+2-4i-(5i)
Other Questions
Anyone help? dont understand this question? An elevator can carry up to 2500 pounds. Suppose the weight is 150 pounds. At most how many average-sized adults can safely ride the elevator at the same time? Write an inequality and solve. Let p represent the number of people who can safely ride the elevator. Help plsssssss and thank you One year, the population of a city was 160,000. Several years later it was 140,800. Find the percent decrease. How do evolutionary developments of the trilobites represent stability over the long term, and change over the short term ? Please can you do these asap I will be very thankful For what value of a does9 = (1/27) a+3 According to Karl Marx, What were the problems associated with capitalism? helppp pls Grace scored n points in her first basketball game of the season. She scored 8 more points in her second game than in her first, 3 fewer points in her third game than in her second, and 11 more points in her fourth game than in her third, scoring a total of 25 points in her fourth game. How many points did Grace score in her first game? HELPPP! ASAP! choose the word that best completes this analogy. apparel : suit :: jewelry: _______A. hairstyleB. sparkling C. earring D.expensive x squared = 49 what does x equal Solve this two step equation.4x + 3 = 11please help can someone please help Meiosis results in genetic variability within a species. Which process is likely responsible for this? A replication of genetic material in parent cells B exchange of genetic material between chromosomes C formation of four daughter cells with their own chromosomes D reduction of chromosomes in the parent cells against at -20 degree centigrade occupied the volume of one 40 ml calculate the temperature at which the volume of cash pickup 65ml pressure remain constant Part AThe length (l) of a rectangular box is 5 centimeters more than twice its width (w).Write an equation to represent the length of the rectangular box.Part BFind the length of the box if its perimeter is 100 centimeters. 29/6Write as a mixed number help! needing ideas for an apush assignment! i need to create a political cartoon that displays american imperialism in either a positive or negative light(i would prefer it to be negative, i think imperialism is gross) you don't have to draw it out, i just would like some ideas or input!!! thank u What is the volume of a cone that has a diameter of 18 centimeters and a height of 12 centimeters? Simplify 8(x-3)-4(2x-7)