The hypotenuse of a right triangle is 75 m. One of the legs measures 45 m. What is the length of the missing leg?

Answers

Answer 1

Answer:

60 m

Step-by-step explanation:

A^2+b^2=c^2

a^2+45^2=75^2

a^2+2025=5625

a^2=3600

a=60


Related Questions

find the coordinates of the point where y-4x=1 crosses the y-axis

Answers

Answer:

(0, 1)

Step-by-step explanation:

y - 4x = 1 crosses the y-axis at (0, 1)

Answer:

(0,1)

Step-by-step explanation:

a.When the numerator and the denominator have no common factor other than 1; he fraction is either a proper fraction or mixed number

Answers

Answer:

The fraction is a proper fraction (and irreducible)

Step-by-step explanation:

Given

[tex]x = Numerator[/tex]

[tex]y = Denominator[/tex]

[tex]Common\ factor = 1[/tex]

Required

The type of fraction

A fraction with the given features is a proper fraction and cannot be further reduced.

Take for instance:

[tex]x = 2[/tex]

[tex]y = 7[/tex]

The only common factor between [tex]2\ and\ 7[/tex] is 1

[tex]\frac{x}{y} = \frac{2}{7}[/tex]

See that 2/7 is a proper fraction and also 2/7 cannot be reduced (simplified)

The above logic is applicable to all fraction that have the attribute stated in the question (e.g. 3/7, 3/8, 4/9, 7/10, etc.)

I NEED HELP ITS DUE TOMORROW

Answers

Answer:

A is congruent

B is congruent

Triangle congruence statements:

A: EFD=ACB

B: LJK= YXZ

Hope this helps

(x+4)(x-2) as a triomial in standard form

Answers

Answer:

x² - 8x + 16 Hope this helps

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

x^2 + 2x - 8

just multiply (x+4)(x-2)

x times x = x^2

x times -2 = -2x

4 times x = 4x

4 times -2 = -8

-2x + 4x = 2x

hi I need help in this math equation ASAP pls give me. an answer and don't fool around I'm serious!!​

Answers

Answer:

58

nth term is 25 i think

Step-by-step explanation:

The next number is

58.

Each number is +11

So, the next number that comes after 47 is 58.

14+11= 25

25+11= 36

36+11=47

47+11=58

The nth term is 11n+3d=11a=14a= d⋅n+a-da= 11⋅n+14-11a= 11n+3

What would be the area of the TRIANGLE if the base of
the triangle was 67 units long and it's height is 3 units
long?

Answers

Answer:

jjggaiidyusipdyyakkgffaulfrraiiiguua

Please help.

A principal investment of $2,000 earned $200 of simple interest over 4 years. Use the appropriate formula to find the interest rate.

Answers

the answer is x+y=b <<<<<333333

A cube has an edge length of 9 centimeters. If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube? 72 cm 72 cm2 108 cm 108 cm2

Answers

Answer:

72cm

Step-by-step explanation:

Original length of the cube = 9cm

Perimeter of the original cube = 4L

Perimeter of the original cube = 4(9)

Perimeter of the original cube = 36cm

If the cube is increased by a factor of 3, new length will be 3(9) = 27cm

Perimeter of the new cube = 4*27

Perimeter of the new cube = 108cm

Difference =108 - 36

Difference = 72cm

Hence the new cube is 72cm larger than the original

Answer:

72cm

Step-by-step explanation:

A town's population is currently 30,000. If the population doubles every 45 years, what will the population be 90 years from now?

Answers

Step 1. Currently 30,000
Step 2. Doubles in 45 years that is 60,000
Step 3. In another 45 years if it doubles again it would be 120,000
Answer in 90 years the town population would be 120,000 people

I’m soooo grateful for you guys that’s helping me!!!

Answers

Answer:

52

Step-by-step explanation:

To solve the equation 34x=15, Abby multiplied both sides by ¾ and got a solution of x=1114. Explain the error that Abby made and then find the correct value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

3/4x = 15

Abby's calculation:

3/4x = 15

Multiply both sides by 3/4

x = 1114

Abby's error was multiplying both sides by 3/4 instead of dividing both sides by 3/4 to get the value of x

Correct calculation:

3/4x = 15

Divide both sides by 3/4

3/4x ÷ 3/4 = 15 ÷ 3/4

x = 15 × 4/3

x = 60/3

x = 20

Check:

3/4x = 15

3/4*20

= (3*20) / 4

= 60/4

= 15

3/4*20 = 15

The population of a town has grown at a rate of approximately 1.2% each year since 1960. In 1960, the population of the town
was about 180 thousand people. Which function could be used to model the population, p, of the town in thousands) x years
after 1960?
A
p = 180(12)
(В)
p = 180(1.12)
©
p = 180(1.012)
D
p = 180(0.12)

Answers

Answer:

180(1.012)^x

Step-by-step explanation:

Which equation is equivalent to 5x – 4y = 8?

Answers

Answer:

you got it right

Step-by-step explanation:

you mathaway to get the answer

The triangles are congruent by the SSS congruence theorem. Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C. Which rigid transformation(s) can map TriangleABC onto TriangleDEC?

Answers

Answer:

Reflection, then rotation

Step-by-step explanation:

The answer is already included into question:

Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C.

Answer:

The correct answer is A

Step-by-step explanation:

reflection, then rotation

If y varies inversely as x, and y= 4 when x=6, then determine the value of y when x=5.

Answers

Answer:

y = 4.8

Step-by-step explanation:

y = k/x

4 = k/6

k = 24

y = 24/5

y = 4.8

Questions 1-14of 14

Which expression is equivalent to the quotient of 4 and t?
4+t
4
t
4xt
Od
4-t.

Answers

answer is b because the veritable is just 1 but the 4 stays the same

HELP PLEASE 14 POINTS

Answers

Answer:

To my knowledge of congruency, I would say the answer is A,

Step-by-step explanation:

Hope this helped!!!

Which option best shows X < -18

Answers

Answer:

A is the best shows your answer

Answer:

B

Step-by-step explanation:

C and D are > and ≥ -18

A shows x < -18, which isn't what the question asks for

The perimeter of a rectangle is 36 cm and the length is twice the width. What are
the dimensions of this rectangle?
Width? _____ cm
Length? ____ cm

Answers

Answer:

Width __6___ cm

Length __12__ cm

Step-by-step explanation:

hello :

x : the width   and y : Length    P : the  perimeter

P=2(x+y )        but : P=36cm  and : y = 2x

36 = 2(x+2x)

36 = 2(3x)

6x =36   so : x=6 cm   and y = 2×6=12cm

Step-by-step explanation:

If breadth is b,then length will be 2b,so

Perimeter=36

2(2b+b)=36

3b=18

b=6,so,l=2×6=12

So,length is 12 and breadth is 6,

Hope it helps…

Identify the direction of rotation that maps triangle BCD to triangle B’C’D’.

The triangle is rotated in a _________
direction.
On a coordinate plane, triangle B C D is rotated clockwise to form triangle B prime C prime D prime.

Answers

Answer:

clockwise

Step-by-step explanation:

Answer:

Clockwise

Step-by-step explanation:

Select all the expressions that are equivalent to 20% of 150.

Answers

Answer:

2 and 3

Step-by-step explanation:

30 is 20% of 150

I hope this helps

Have a great day

If the probability that someone
will win a game at the carnival is
1/24, what is the probability that
they will not win?

Answers

Answer:

1 - 1/24 = 23/24

Step-by-step explanation:

What is the surface area of the part of the cake that will have frosting? No links or I will report you. If you answer correctly I will give you the brainliest

Answers

Answer:

396 square inches

Step-by-step explanation:

First we must find the overall surface area of the cake, which will the total area of all of the faces.

The cake is a rectangular prism, meaning the faces are all rectangles and opposite faces will be identical.

As opposite faces are identical, the area of only 3 faces need to be found, and a formula can be crafted:

[tex]A = 2 (lw + wh + lh)[/tex], where l is length, w is width, and h is height.

For demonstration purposes, the length will be 12 and the width will be 15.

Substituting, we get:

[tex]A = 2 ((12)(15) + (15)(4) + (12)(4))\\A = 2(180 + 60 + 48)\\A = 2(288)\\A = 576\\[/tex]

Now, we must subtract the area that is not covered by frosting. As there is only a lack of frosting on the base, we subtract the area of the base.

[tex]A = 576 - lw\\A = 576 - (12)(15)\\A = 576 - 180\\A = 396[/tex]

Find the measure of each exterior angle of a regular nonagon.
If needed, round to the nearest tenth.
label optional

Answers

Answer:

360°÷9

Step-by-step explanation:

All exterior angles should add up to 360°.

The nonagon is a regular polygon hence all the exterior angles are the same size.

∴ 360°÷9= 40°

Plz!!! I will give Brainliest

Answers

d i believe please correct me if i’m wrong
it’s B !!

it says at least which means 6 would be included. so the dot would be closed since it indicates including 6. and since at least also means more than.

You flipped a coin 65 times, and it landed heads side up 37 times. What is the experimental probability of it landing tails side up?

Answers

Answer:

28/65

Step-by-step explanation:

what is the surface area of this right rectangular prism.

a rectangle with 4 width 5 length and 2 height.

Answers

Answer:

20 cubic meters

Step-by-step explanation:

volume = length x width x height

5 x 2 x 2 = 20

What are some properties and uses of the square root function?

Answers

Answer:

The domain of the square root function f(x)=√x is given in interval form by: [0,+∞)

The range of the square root function f(x)=√x is given in interval form by: [0,+∞)

The x and y intercepts are both at (0,0)

The square root function is an increasing function.

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

Answers

Answer:

What're the questions??

Step-by-step explanation:

why did this just now show up for me when it was in 2021 bro

What is c the number of baseball cards in coles cole collection ? * I will give brainliest pleaseee help

Answers

Answer:

24

Step-by-step explanation:

120/5

Answer:

d i hope am sorry if i calcuc wrong

Step-by-step explanation:

Other Questions
George Washington and other Founding Fathers feared that the formation of political parties would __________.A.increase government efficiency and effectivenessB.create factions with self-seeking interestsC.strengthen the development of political debateD.broaden the scope of government influence Read the excerpt from The Mother of America:Martha Washington's promotion of democratic values as America's original first lady also proved her worthy of the name "Mother of America." She realized that the way she treated the role of first lady would set precedents for future women. Martha had to figure out how to create an atmosphere that reflected democracy and commanded respect from the rest of the world. To accomplish this, she held a reception once a week where different people could enjoy refreshments and exchange ideas. Unlike other events, Martha's reception was representative of democracy, as it was open to different groups of people, including both men and women. Overwhelming respect for Martha led to others calling her "Lady Washington." Despite praise for her work, Martha disliked the restrictions put on her as the first lady and missed her son. In spite of these concerns, Martha did her duty and remained to support the president and her country. Her role in defining America's first ladythe figurative "Mother of America"was invaluable.Indeed, Martha Washington's roles as first lady and general's wife revealed her nurturing nature and her promotion of democratic values, making her a prime candidate for the honorable title "Mother of America."Which of the following passages best summarizes the point and second reason of The Mother of America?a. Martha understood that she would be setting the standard for future first ladies. As a result, she held receptions that encouraged people from different walks of life, including women, to discuss ideas, which was very unusual for that time. Martha attempted to establish a democratic tone that also invited respect from other nations. She missed her son greatly but continued to fulfill her duties as first lady and representative of America.b. Martha Washington could be considered the "Mother of America" for her devotion to democratic values as the first lady. She understood that she would be setting the standard for future first ladies. As a result, she held receptions that encouraged people from different walks of life, including women, to discuss ideas, which was very unusual for that time. The original first lady's success at incorporating democratic values proved that she was the "Mother of America."c. Martha Washington could be considered the "Mother of America." She stayed to help her husband even though she hated life in the public eye. She missed her son greatly, but she insisted on staying. She also realized that the way she treated the role of first lady would set precedents for future women. 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