The hypotenuse of a right triangle is 10 ft long the longer end is 2 ft longer than the shorter leg. Find the side lengths of the triangle

Answers

Answer 1

Answer:

The sidelength of the triangles is 6 feet and 8 feet.

Step-by-step explanation:

Given that,

The Hypotenuse of a right triangle = 10 feet

Let the shorter leg is x. It means the longer leg is (x+2).

For a right triangle,

Hypotenuse²=base²+perpendicular²

So,

[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]

The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.

Answer 2

Answer: -8 6

Step-by-step explanation:


Related Questions

Help I’ll give you brainliest

Answers

Answer:

your answer will be A

Step-by-step explanation:

have a nice day/ night

Someone help me with this pls

Answers

the slope of the line is: -3/2
-2/3 that’s your slope


PLZ HELP!!DO ONLY ONE PART IF YOU WANT TO BUT DO BOTH IF YOU CAN(show work btw)

Answers

Answer:

Step-by-step explanation:

Look at picture

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (2, 720)(2,720).

Answers

Answer:

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].

Step-by-step explanation:

Let be an exponential function of the form [tex]y = a\cdot b^{x}[/tex] that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex]. Then, we have the following system of equations:

[tex]20 = a\cdot b^{0}[/tex] (1)

[tex]720 = a\cdot b^{2}[/tex] (2)

By dividing (2) by (1), we obtain the value for [tex]b[/tex]:

[tex]\frac{720}{20} = b^{2}[/tex]

[tex]b = \sqrt{\frac{720}{20} }[/tex]

[tex]b = 6[/tex]

And the value for [tex]a[/tex] is found by (1):

[tex]a = 20[/tex]

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].

Luca pays $165 per month for his car loan and an average of $2.30 per gallon of gas. He wants to keep his car expenses under $300 per month. Write and solve an inequality to find the greatest number of gallon "g", Luca can drive in a month while staying within his budget?

Answers

Answer:

58.69 gallons is the maximum she can get.

Step-by-step explanation:

165 + 2.3g ≤ 300

subtract 165 from both sides

2.3g ≤ 135

divide by 2.3 on both sides

g ≤ 58.6956521739

determine the initial value

Answers

Hey there I am just telling you , it seems that your questions is incomplete . Can you kindly post the whole question then I am able to solve it.

please don't mind.

Joe is buying gift cards that are on sale for 15% off. He uses c – 0.15c to determine the sale price of gift cards. What is an equivalent expression that Joe could also use to determine the sale price of a gift card?

Answers

Answer:

0.85c

Step-by-step explanation:

Given :

Discount on sale = 15%

Price of gift card at discounted price = c - 0.15c

Equivalent expression could be :

(100% - 15%) * price

Price = c

(1 - 0.15)c

0.85c

What is the solution to x-1=-2x+5

Answers

Answer:

x = 2

Step-by-step explanation:

Solve for x

x - 1  = -2x + 5

3x = 6

x = 2

Answer: 3

Step-by-step explanation:

1×-2=-2

-2+5=3

-2×1+5=3

I hope this helps, have a good day or night:)

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 ft, find its area.

Answers

The area of the rectangle is 216 square feet

How to determine the area?

Let x represents the length and y represents the width.

So, we have:

x = 6y

So, the perimeter is:

P = 2(x + y)

The perimeter is given as:

P = 84

So, we have:

2(x + y) = 84

Divide by 2

x + y = 42

Substitute x = 6y in x + y = 42

6y + y = 42

Evaluate the sum

7y = 42

Divide by 7

y = 6

Substitute y = 6 in x = 6y

x = 6 * 6

x = 36

The area is calculated as:

Area = xy

So, we have:

Area = 36 * 6

Evaluate

Area = 216

Hence, the area of the rectangle is 216 square feet

Read more about area at:

https://brainly.com/question/24487155

#SPJ1

Help please!! Asap!! i’ll give brainly!

Answers

Answer:

For 21: The first option (the uppermost) is correct for question 21. When it is no greater than, it implies that it can be equal to the number.

For 22: x+637 ≤ 2000, let x be the money he can spend for everything else.

Let me know if this helps!

Answer:

well when he buys the ticket he is left with 1,363 dollars

Step-by-step explanation:

ANSWER ASAP!!!
PLS HELP.
ANSWER BOTH QUESTIONS FOR ALL POINTS.

Answers

Answer:

128°

Step-by-step explanation:

x + 154° + 78° = 360° {being complete turn}

x + 232° = 360°

x = 360° - 232°

x = 128°

someone report this so it will get taken down

Can someone please help me with this one

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Hey sorry I need points

help please?? thsnks

Answers

Step-by-step explanation:

step 1. the difference between x -> x' was 7

step 2. the difference between y -> y' was -2

step 3. the translation was 7 right and -2 down

step 4. the translation can be written (x + 7, y - 2)

step 5. the pre image was located in quadrant II.

BRAINLIEST



Plot the following co-ordinates and find the fourth point D to make a square A (-1,3) B (1,-1) C(5,1).

Once you have found the missing coordinate use pythagoras to calculate the length of the sides.

Answers

Answer:

Step-by-step explanation:

Example: Solve this triangle

right angled triangle 5 12 c

Start with: a2 + b2 = c2

Put in what we know: 52 + 122 = c2

Calculate squares: 25 + 144 = c2

25+144=169: 169 = c2

Swap sides: c2 = 169

Square root of both sides: c = √169

Calculate: c = 13

Work out the perimeter of a semicircle with radius 3 cm.
Give your answer in terms of tt.
3 cm

Answers

Answer:

3π+ 6 = 15.42477796

Step-by-step explanation:

diameter = 6

πd = circumference

6x π = 6π

3π = semi circle

3π+ 6 = 15.42477796

Which equation has the greatest rate of change?
A.
y=2x+5
B.
y=x+6
C.
y= -5x+2
D.
y=2/3x+4

Answers

c i’m pretty sure because -5 is the biggest

Nancy's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 54 regular sodas and 6 diet sodas. What percentage of the sodas served were regular?

Answers

54 + 6 = 60

54/60 * 100

THE ANSWER IS 90%

PLZ HELP MEEEEE answer the chart first then the second question THANKYOU DEARLYY

Answers

Answer:

6 9 4  7

Step-by-step explanation:

i teach math

At Stacy's Hats, 41 out of the 82 hats at the store are baseball caps. What percentage of hats at the store are baseball caps

Answers

Answer:

50 percent

Step-by-step explanation:

solve the system of equations by graphing. y=4x+2 y=7/2x+1 plz help

Answers

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right so yeah i guess it is?

Step-by-step explanation:

Amans age is three times his sons age.ten years ago he was five times his sons age .find their preseny age?

Answers

Click on the image and check the answer

What kind of a fraction is 6 1/3?

Answers

Answer:

6 1/3 Is a mixed fraction

Mixed fraction because an improper fraction would have a greater numerator then a denominator and wouldn’t be simplified

Find the value of each variable in the parallelogram.

Answers

Answer:

n = 12 , m = 5

Step-by-step explanation:

since it is said it is a parallelogram so opposite sides are equal

n = 12 (being opposite sides of parallelogram)

m + 1 = 6 (being opposite sides of parallelogram)

m = 6 - 1

m = 5

Hope it will help :)

Answer:the answer on the bottom is wrong you need to find the variable not x

Step-by-step explanation:

I got it wrong that’s why I said it

what’s the answer for this please? Thankssss!! Only if you know

Answers

Answer:

I Dont know the answer Sorryyyyyyyyyy

answer this algebra question x/12 - 5 = 7

Answers

Answer: x=144

Explanation:
7+5= 12
12*12=144

Answer:

x=144

Step-by-step explanation:

x/12-5=7

x-60=84

x=84+60

x=144

Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.

He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.

How much money did Ron make selling lemonade after paying out the cost of making the lemonade?

$ ___​

Answers

Answer:

$3.90

The cost of making them all is 1.50 subtracted from the profit he made

In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?
Enter your answer as a number, like this: 42

Answers

════════ ∘◦❁◦∘ ════════

Answer = -7

════════════════════

Known

a = 13

U2 = 6

U3 = -1

U4 = -8

════════════════════

Question

d = ..?

════════════════════

Way to do

#since it gives a lot of number, i will just pick one of the nth term, ill choose U2

Un = a + (n-1)d

U2 = 13 + (2-1)d

6 = 13 + d

6 - 13 = d

d = -7

════════════════════

Note

• The formula of arithmetic sequence

Un = a + (n-1)d

n = nth term

a = first term

d = common difference

════════════════════

Factor out the greatest common factor for 18x2 + 42x – 12.

Answers

Answer:

Step-by-step explanation:

factor the coefficients into primes

18 = 3 * 3 * 2

42 = 3* 2 * 7

- 12 = - 2 * 2 * 3

The primes that are underlined are 2 * 3 which is 6

The primes not in the brackets are what is inside the brackets.

6(3x^2 + 7x - 2)

7/0
What is the definition of "median"?
the number that
appears the
most in a set of
data
the number in
the middle of a
set of data
the average of a
set of data
the difference
between the
greatest and
smallest value in
a set of data
Music off
Zone

Answers

The number in the middle
The number in the middle

What is the acceleration of a BMW i8 Roadster that goes from 0 to 60 mph in 3.8 seconds? a) in mi/h/s and b) in m/s^2

Answers

Answer:

I need help with my math problem  

Step-by-step explanation:

https://brainly.co m/question/21437269

no space

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