The hypotenuse of a right triangle is one inch longer than the longer leg. The shorter leg is seven inches shorter than the longer leg. Find the length of the hypotenuse.

Answers

Answer 1

Answer:

Length of hypotenuse is 13 unit or 5 unit

Step-by-step explanation:

Find;

Length of hypotenuse

Computation;

Assume;

Length of hypotenuse = h

Length of longer leg = h - 1

Length of shorter leg = h - 1 - 7

Using Pythagorean theorem

hypotenuse² = longer leg² + shorter leg²  

h² = (h - 1)² + (h - 1 - 7)²  

h² = (h - 1)² + (h - 8)²  

h² = h² - 2h + 1 + h² - 16h + 64  

h² = 2h² - 18h + 65

h² - 18h + 65 = 0

h² - 13h - 5h + 65 = 0

h(h - 13) -5(h - 13)

(h - 13)(h - 5)

So,

Length of hypotenuse is 13 unit or 5 unit


Related Questions

I need to get an a please help

Answers

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Find missing measure (No.6)

Answers

Answer:

Step-by-step explanation:

6 no

1.angle 2=92 degree(being vertically opposite angle)

2.angle 1+33+92=180(sum of interior angles of a triangle)

angle 1+125=180

angle 1=180-125

angle 1=55

3.angle 3+angle 2+115+90=360(sum of four angles is always 360 degree)

angle 3+92+205=360

angle 3+297=360

angle 3=360-297

angle 3=63

A DrillingRick was diggingA well in the valley it dug to a point of -50 Meters in one day After 18 hours at how many meters would the rig be if it moved at the same amount each hour? Show your work.Explain your answer

Answers

Answer:

37.5 meters

Step-by-step explanation:

depth of well : hours of digging

it dug to a point of -50 Meters in one day

= 50 meters : 24 hours

After 18 hours at how many meters would the rig

Let

x = depth that will be rigged

depth of well : hours of digging

= x meters : 18 hours

Equate the ratios

50 meters : 24 hours = x meters : 18 hours

50/24 = x/18

50 * 18 = 24 * x

900 = 24x

x = 900/24

x = 37.5

x = depth that will be rigged = 37.5 meters

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

Answer:

3=6

4=8

5=10

6=12

graph 1

Step-by-step explanation:

What is that number in scientific notation form??

Answers

Answer:

D. 3.7 × 10⁶

Step-by-step explanation:

3.7 × 10⁶

3700000

Find the slope of the graph below. Help fast

Answers

Answer:

2x

Step-by-step explanation:

(5,5) is a point (I reckon it is from the screenshot you sent at least)

(0,-5) is a point

-5 - 5 = -10

0 - 5 = -5

-10/-5

Slope = 2x

Answer:

Two Possible Points:

5,5 and 6,7

7 - 5         2

____ = _____ = your slope is 2

6 - 5          1

When picking two points subtract the y(rise) from eachother first which will be your numerator and the x(run) from eachother in the same exact way you subtracted to the y which will be your denominator.

find the equation of the parabola with its focus at (5,0) and it’s directrix y=2

Answers

Answer:

Option A

Step-by-step explanation:

From the question given in the picture attached,

Directrix of the parabola → y = 2

Focus of the parabola → (-5, 0)

Since, focus is below the directrix, parabola will open open downwards.

Equation of the parabola will be in the form of,

y - k = -4p(x - h)²

Here, (h, k) is the vertex of the parabola

p = Distance between vertex and focus or distance between vertex and directrix

Since, distance between vertex and focus = Distance between vertex and directrix

Therefore, vertex of the parabola → (-5, 1)

Now distance (p) between vertex (-5, 0) and focus (-5, 1) = 1 unit

By substituting these values in the equation,

y - 1 = -4(1)[x - (-5)]²

y - 1 = -4(x + 5)²

y = -4(x + 5)² + 1

Option A will be the answer.

plss help me!!

Find the length of the arc.

Answers

Answer:

[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)

Step-by-step explanation:

GIVEN :-

Angle subtended by the arc at center (θ) = 90°Radius of the circle = 5 ft.

TO FIND :-

Length of the arc

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.

[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]

SOLUTION :-

Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]

Question 16 of 20
To the nearest hundredth, what is the circumference of a circle with a radius
of 7 units?
A. 43.98 units
B. 21.99 units
C. 35.75 units
D. 153.94 units

Answers

Answer:

43.98

Step-by-step explanation:

The circumference of a circle with a radius of 7 units is approximately 43.98 units, which corresponds to option A.

What is the Circumference of a circle?

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

Given that the radius of the circle is 7 units, we can substitute this value into the formula:

To find the circumference of a circle, we can use the formula C = 2πr, where C represents the circumference and r represents the radius.

C = 2π(7) = 14π

Use the approximation π ≈ 3.14:

C ≈ 14(3.14) = 43.96

Rounding this value to the nearest hundredth, we get approximately 43.98 units.

Therefore, the circumference of a circle with a radius of 7 units is approximately 43.98 units.

Learn more about the Circumference of the circle here:

brainly.com/question/19794723

#SPJ7

-6y-18 this is really overdue and its hard for me so can someone help

Answers

the answer to this is -6(y+3)

Jensen goes to the store with $4. He buys 3 pencils for $0.70 each and
some erasers. Each eraser costs $0.50. Enter the maximum number of
erasers he can buy.

Answers

Answer:

3 erasers.

Step-by-step explanation:

Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.

0.70p + 0.50e ≤ 4

0.70(3) + 0.50e ≤ 4

2.10 + 0.50e ≤ 4

0.50e ≤ 1.90

e ≤ 3.8

Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.

Helppp math help !!!!!!

Answers

The roots of the parabola is when y = 0. So it would be x= -3 and x =1

Step-by-step explanation:

it should be x= -3 and x= 1

PLEASE HELP QUICK ITS TIMED



Dawson has 3 more tokens than twice the number of tokens that Rachel has. Dawson has
21 tokens. What is the total number of tokens Rachel has?

Answers

Answer:

9

Step-by-step explanation:

I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.

Answer:

9 divided by 21

Step-by-step explanation:

17

Determine if the two triangles in the image above are similar. If so, what’s the correct postulate. SSS, SAS, AA, or None

Answers

Answer:

SAS

Step-by-step explanation:

What is the greatest common factor of 50, 40, and 20?

Answers

Answer:

10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The gcf is 10

Step-by-step explanation:

What type of graph is best to use to show data that are parts of a whole?

Answers

Answer:

Pie charts

Step-by-step explanation:

A Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Answer:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Step-by-step explanation:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.

Pls help I’ll give brainlest

Answers

the answer is 40 yards. hfjjfnfhcnfnc

HELP PLSS


Write the percent as a fraction and as a decimal.
3/15​%

Answers

Answer:

0.2% and 1/5%

Step-by-step explanation:

Hope this helps

Answer:

0.2% is the answer as decimal.

3/15/100

3/15*1/100

3/1500

1/500( as fraction)

Step-by-step explanation:

how many puppies were rescued 12x+3=

Answers

Answer:

36

Step-by-step explanation:

12 x 3 = 36

NO LINKS PLEASE ..Solve for x

Answers

Answer:

x = 42.5

Step-by-step explanation:

all triangles inscribed into a circle like in the picture must have a 90 degree angle.

so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5

PLEASE HELLLLPPPPPP PLEASSEEEE I A BEGGGING YOU

Answers

Answer:

-2 2/5

Step-by-step explanation:

-8 x 3/10
-4 x 3/5
= -12/5
Or -2 2/5 ; -2.4

Thank for doing l love u

Answers

i think the answer for the first 2 questions are 12 and 28

good job guys ik math is hard sometimes

The difference between a and b is 10. The number a is 4 more than 3 times the number b. Which of the following pairs of equations could be used to find the values of and b? If explanation given properly will give BRAINLIEST!!!

a) b-a=10, a=3b+4
b) a-b=10, b=3a+4
c) a/b=10, a=3b+4
d) a-b=10, a=3b+4
e) b-a=10, 3b=a+4

Answers

Answer:

d)

Step-by-step explanation:

a - b = 10

a = 4 + 3b

The height of a refrigerator would be about?
A. 7 inches
B. 7 feet
C. 7 yards
D. 7 miles​

Answers

The correct answer is B. 7 feet

Answer:

i think its b) 7 feet

Step-by-step explanation:

The volume of a cylinder is 3,166.7 cm2. The radius of the base of the cylinder is 6 cm. What is the height of the cylinder?

Answers

Answer:

the height of the cylinder is 28cm

A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°

Answers

Answer:

The ship is approximately 100 km to the Port.

Step-by-step explanation:

The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C

a = 50 km

b = 60 km

C = 51 + 80 = [tex]131^{o}[/tex]

So that;

[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]

   = 2500 + 3600 -6000 x -0.6561

   =  6100 + 3936.6

[tex]c^{2}[/tex] = 10036.6

c = [tex]\sqrt{10036.6}[/tex]

  = 100.183

c = 100.18 km

Thus, the ship is approximately 100 km to the Port.

Pls solve, need help

Answers

I think the answer is B if it works let me know!

Answer:

The answer is c

Step-by-step explanation:

because it is equal to the fraction above

Mr. Olen is looking at the drawings of two proportional city lots. One of the dimensions of Lot B is not readable. How many square feet are in Lot B?
325,000 square feet
75,000 square feet
135,000 square feet
202,000 square feet
NO LINKS​

Answers

Answer:

nfdsBFS>BFBms?FBsbn

Step-by-step explanation:vkhgv

SFsASFWWFmreweebwfjfeWBEfeb

A bank makes a profit of 20 million euro. The bank pays 500 thousand euro in tax. What percentage of the profit is paid in tax?

Answers

Answer:

2.5%

Step-by-step explanation:

Given data

Profit = Euro 20,000,000

Tax paid= Euro 500,000

The percentage tax paid is

% Tax= Tax paid/Profit*100

% Tax= 500,000/20,000,000*100

% Tax=0.025*100

% Tax=2.5

Hence the percentage tax paid is 2.5%

What is the least common multiple of the two denominators 6/8 and 4/32, only answer are 18, 8, 32, and 12 which one there are no 4

Answers

Answer:

32

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

the correct answer is 32

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