The hypotenuse of a right triangle is 13 inches long. The shorter leg is 7 inches shorter than the longer leg. Find the side lengths of the triangle.

Answers

Answer 1

Answer:

5 and 12 inches

Step-by-step explanation:

Let the shorter leg be x.

13²=x²+(x+7)²

169=x²+x²+14x+49

169=2x²+14x+49

120=2x²+14x

120=2x(x+7)

60=x(x+7)

60=x²+7x

x=5

shorter length=5, longer length=12


Related Questions

pls anwer number 9 pwees anwer pwees

Answers

la respuesta es 56

por que es : 6 personas por 5$ para la entrada lo cual es 30 , y por la comida es 6 personas por 6$ lo cual es 36 y el cupon se le resta 10 y eso da a 30$ + 36$-10 y eso da 56

Answer:

To translate the other guy

Step-by-step explanation:

the answer is 56

Because it is: 6 people for $ 5 for the entrance which is 30, and for the food it is 6 people for $ 6 which is 36 and the coupon is subtracted 10 and that gives $ 30 + $ 36 -10 and that makes 56

Dan buys a car for £700.
It depreciates at a rate of 5.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate

Answers

£733 because that’s is only yearly,so it won’t go up much with that rate

what mistake was made and what you suggestion to give me to avoid the mistake again

marking brain list

next question is worth 100 points don’t use this anymore just need help on these

Answers

Answer:

The mistake made is the line of Best Fit is not drawn through any points on the graph. A way to avoid the mistake is to think "Okay, where are most of the points located?" Then find that area, and draw a line through the points that would connect to form a straight line.

Hope this helps!

I need help plz plz :(

Answers

Answer:

y = 1/2x + 1

Step-by-step explanation:

Answer:

y=1/2x+1

Step-by-step explanation:

y=1/2x+b

2=(1/2)(2)+b

2=1+b

1=b

y=1/2x+1

You have deposited SEK 10,000 in an account that gives 2% interest every year. How much have you received in interest after two years?

Answers

Answer:

404

Step-by-step explanation:

2% of 10000 = 200 in the first year, setting your account to 10200

2% of 10200 = 204 in the second year, setting your account to 10404

In the total of 2 years, you received 404 extra

Answer:

Deposite amount (P) = 10000

Interest ( R)    = 2%

Years (T) = 2

Formula

S.I =PRT÷100

S.I =10000×2×2÷100

S.I =40000÷100

S.I =400

You have received interest after 2 years =400

Step-by-step explanation:

need help on question 13!! urgent!!

Answers

Answer:

∠MNQ = 31

Step-by-step explanation:

Set ∠MNQ and ∠NQP equal to each other.

∠MNQ = ∠NQP

5c + 6 = 7c - 4

10 = 2c

c = 5

Then substitute back into ∠MNQ.

∠MNQ = 5c + 6

∠MNQ = 5(5) + 6

∠MNQ = 25 + 6

∠MNQ = 31

What’s the area of the triangle & parallelogram

Answers

Answer:

116 cm squared

Step-by-step explanation:

The area of the triangle is 28 cm squared.

The area of the parallelogram is 88 cm squared.

The total area of the composite figure would be 116 cm squared.

Answer:

triangle:28

parallelogram:88

total area:116

Step-by-step explanation:

8×7=56

triangle->56÷2

=

[tex] {28}^{2} [/tex]

parallelogram->11cm×8cm

=

[tex] {88}^{2} [/tex]

total area->28cm²+88cm²=116cm²

if 4x-y/2x+y=5/3, then x/y=?

Answers

Answer:

[tex]\frac{x}{y}[/tex] = 4

Step-by-step explanation:

Expressing in fractional form, that is

[tex]\frac{4x-y}{2x+y}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )

3(4x - y) = 5(2x + y) ← distribute both sides

12x - 3y = 10x + 5y ( subtract 10x from both sides )

2x - 3y = 5y ( add 3y to both sides )

2x = 8y ( divide both sides by 2 )

x = 4y ( divide both sides by y )

[tex]\frac{x}{y}[/tex] = 4

Answer:

[tex] \boxed{ \frac{x}{y} = 4}[/tex]

Step-by-step explanation:

[tex]if \: \frac{4x-y}{2x+y}=\frac{5}{3}, \: then \: \frac{x}{y} = : \\ 3(4x - y) = 5(2x + y) \\ 12x - 3y = 10x + 5y \\ 2x = 8y \\ \frac{2x}{y} = 8 \\ \frac{x}{y} = 4[/tex]

I need help in this question

Answers

Answer:

a) £105 300

b) £132 300

Step-by-step explanation:

a) 2700*39=105 300

b) 2700*49=132 300

Need help on this pls

Answers

It’s c hope that helps
im pretty sure it’s C the other person is correct (:


A bicycle store costs $2600 per month to operate. The store pays an average of $55 per bike. The average selling price of each bicycle is $95. How many bicycles
must the store sell each month to break even?

Answers

Answer:

58

Step-by-step explanation:

95 - 55 = 45

2600 / 45 = 57.77778.....

Because you can't sell 0.777778 of a bike you instead sell 58

Which number represents the mode?
8,10,12,14,16,18,20

Answers

Answer:

none

cz there's no no. that repeats itself

If 20% of a number is 10, what is the whole number?​

Answers

Answer:

100

Step-by-step explanation:

20%-10

20%*5=100%--10*5=100

Answer:

the starting number is 100

I think of a number. I multiply it by 3 and then subtract 7. The answer is 17.
What was the number I was thinking of?

Answers

Answer:

8

Step-by-step explanation:

you solve this by reversing the excercise.

17 + 7 = 24

24/3 = 8

Answer:

8

Step-by-step explanation:

just reverse everything like, 17 +7 then 24/ 3=8

Find the area of the figure and type your result in the empty box. 4 cm 4 cm​

Answers

4 cm x 4 cm would make a 16 cm area
just multiply 4 and 4 together to get the answer!

16 cm area

please mark the brainliest!

Please help I can’t move on to the next question until I submit this one I have 25 minutes

Answers

Answer:

Option (D)

Step-by-step explanation:

Linear equations are in the form of y = mx + b

Here, m = slope of the linear function

b = y-intercept

Quadratic function → y = ax² + bx + c

By these properties, y - 6 = x² represents the quadratic equation which is non linear.

Therefore, Option (D) will be the correct option.

In this polygon, which angle is an exterior angle?

Answers

The angle in the polygon that is an exterior angle is: angle A.

What is an Exterior Angle of a Polygon?

An exterior angle of a polygon is an angle that is formed outside the polygon at the point where a side of the polygon extends. Sum of all exterior angles of any polygon equals 360 degrees.

Angle A in the polygon given is formed at the point where a side of the polygon extends out. Therefore, the angle that is an exterior angle is: angle A.

Learn more about exterior angle on:

https://brainly.com/question/2546141

#SPJ1

Huixian needs to pack 171 pens 63 pencils and 27 erasers find the number of each item in a gift bag

Answers

Answer:

19 pens, 7 pencils, 3 erasers

Step-by-step explanation:

Huxian needs to pack 171 pens

63 pencils

27 erasers

Hence the items can be divided in 9 bags

171/9

= 19

63/9

= 7

27/9

= 3

They can be packed in each bags as follows

19 pens

7 pencils

3 erasers

Alyssa opens a savings account with $6. She saves $5 each week. The table Represents her account balance. Decide whether the table represents a linear function or a non linear function. ​

Answers

It is a linear function.

y = 5x + 6

x represents the number of weeks in which she saves $05.00, y being the total amount of money she has saved in those weeks. If the rate is constant is constant (m = 5), it is linear.

3x/8=15......will give brainliest

Answers

Answer: x = 40

Step-by-step explanation:

3x ÷ 8 = 15

Multiply 8 in both sides

3x = 120

Divide both sides by 3

x = 40

What formula do i use when it tells me to find the area with a given circumference? If you know please give an example as well, thank you.

Answers

Answer:

Step-by-step explanation:

A = C^2 / 4 x pi

so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).

you would then just divide 100 by 12.57 = 7.96 ( rounded)

hope it helped

6. Geeta borrowed. * 15.000 for 18 months at a
certain rate of interest compounded semi-
annually. If at the end of six months it
amounted to 15.600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta
must pay at the end of 18 months in
order to clear the account.​

Answers

Answer:

i) 8%

ii) 16,872.96

Step-by-step explanation:

A) Since she borrowed 15000 and at the end of six months it amounted to 15600. What it means is that;

Interest; i = 15600 - 15000 = 600

Now,formula for rate of interest is;

R = (100i)/(Pt)

Where;

i = 600

P is amount borrowed = 15000

t is time period compounded. Since it's compounded semi annually, then t = ½

Thus, from PRT/100 = i, we can find R as;

R = (100 × 600)/(15000 × (6/12))%

R = 8%

B) After 12 months, which is another semi annual period after 6 months, the Interest will now be;

15600 × 8% × (6/12) = 624

Thus, amount due at this point is 15600 + 624 = 16224

After 18 months which is another semi annual period after 12 months, the Interest will now be;

16224 × 8% × (6/12) = 648.96

Thus, amount due at this point is 16224 + 648.96 = 16,872.96

One night, it is 24LaTeX: ^\circ



C warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?

PLEASE ANSWER QUICK!!!!!!!!!

Answers

Answer:

[tex]T^\circ = -12^\circ[/tex]

Step-by-step explanation:

Given

Represent the temperature in Tucson with T and that in Minneapolis with M.

From the first statement, we have:

[tex]T^\circ = M^\circ - 24^\circ[/tex]

From the second, we have:

[tex]T^\circ = -M^\circ[/tex] or [tex]M^\circ = -T^\circ[/tex] --- i.e. both are opposite numbers

Required

Find T

To calculate T, substitute -T for M in [tex]T^\circ = M^\circ - 24^\circ[/tex]

This gives:

[tex]T^\circ = -T^\circ - 24^\circ[/tex]

Collect Like Terms

[tex]T^\circ +T^\circ =- 24^\circ[/tex]

[tex]2T^\circ =- 24^\circ[/tex]

Make T the subject

[tex]T^\circ =- 24^\circ/2[/tex]

[tex]T^\circ = -12^\circ[/tex]

Hence, the temperature in Tucson is [tex]-12^\circ[/tex]

Graph quadrilateral abcd whose vertex matrix is shown below. Then graph the dilation of quadrilateral abcd with a scale factor of 3 on the same coordinated grid. Quadrilateral abcd with vertex matrix -1 5 5 -4
2 5 3 -1

Answers

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of an object.

Given the vertex matrix of quadrilateral ABCD as:

[tex]\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right][/tex]

Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).

Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.

Hence, the vertex matrix of quadrilateral A'B'C'D' is:

[tex]3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right][/tex]

Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).

The correct option is figure A

13.089 ÷ 1000 tell me the answers

Answers

Answer:

the answer is below

Step-by-step explanation:

0.013089

Answer: 0.013089

Step-by-step explanation:

How many packs of batteries can you buy with $39.78 if one pack costs $6.63?

Answers

Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.

Step-by-step explanation:

Answer:

6 packs of batteries

hope it helps

Please help I will give 50 points
9 to 14
HELLLLLPPPPPP

Answers

Answer:

Didi sweet Didi mark me brain list please

9. -6x + 10
10. -24x + 18y
11. 15y - 10z
12. -8x - 28
13. -7x + 14
14. -24x + 12

Help me please help please

Answers

Answer:

5

Step-by-step explanation:

50  by divded 5 is 10 90 divided by 5 is 18 and 110 divded  by 5 is 22 hope this helps!

14. greater than a number g is 32​

Answers

Answer:

g = 18

Step-by-step explanation:

14 + g = 32

g = 32 - 14

g = 18

Hope that helps!

Someone help me ASAP!!!! I need this ASAP!!!!

Answers

So to solve it the equation is a squared plus b squared = c squared. So you square a and b. Then do the square root of that and should get c. C is always the largest side. C is opposite from a 90 degree angle . Hope this helps you answer your question.
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