If the hypotenuse of a right triangle has length 9 feet and one of the other sides has length 2 feet, what is the length of the remaining side, in feet?
[tex]\sf A) \sqrt{11}[/tex]
[tex] \sf B) \sqrt{7}[/tex]
[tex]\sf C) \sqrt{85}[/tex]
[tex]\sf D) \sqrt{77}[/tex]
[tex]\sf E) 7[/tex]

Answers

Answer 1
Hypotenuse=H=9ftBase=B=2ft

Apply Pythagorean theorem

P²=H²-B²P²=9²-2²P²=81-4P²=77P=√77

Option D

Answer 2

Answer:

[tex]\sf D) \sqrt{77} \: ft [/tex]

Step-by-step explanation:

Given that,

→ Perpendicular (x) = ?

→ Hypotenuse (h) = 9 feet

→ Base (b) = 2 feet

Now by using the Phythagoras theorem,

→ (Hypotenuse)² = (Perpendicular)² + (Base)²

→ (h)² = (x)² + (b)²

→ (9)² = (x)² + (2)²

→ 81 = (x)² + 4

→ (x)² = 81 - 4

→ (x)² = 77

→ [ x = √(77) ]

Thus, length of remaining side is √(77) ft.


Related Questions

whats the numerator for the following rational expression u/v + 2/v =?/v

Answers

Same Denominator We Add The Numerators:

Answer:

[tex]u + 2[/tex]

Can someone please help me with this question?

Answers

Answer:

[tex]\frac{2x}{x+5}[/tex]

Step-by-step explanation:

We are given a function for f and g, and are asked to find f/g.

We know f = 4x^2 + 6x and g = 2x^2 + 13x + 15

Simply put function of f over g.

[tex]\frac{4x^2+6x}{2x^2+13x+15}[/tex]

Factor:

[tex]\frac{2x(2x+3)}{(2x+3)(x+5)}[/tex]

Since both numerator and denominator have 2x + 3, we can cancel them out.

[tex]\frac{2x}{x+5}[/tex] is our answer.

What measure of central tendency is most affected by outliers?.

Answers

Answer: Mean

Mean is the only measure of central tendency that is always affected by an outlier.

hope this helps!

have a nice day!

Please help with this never good at it

Answers

Answer:

396

Step-by-step explanation:

Divide 3168 by 8 and your answer is 396.

You estimated that you would need 252 more points to move up a level on your favorite video game. But after earning just 240more points, you leveled up! What was your percent error?

Answers

Answer:

5%

Step-by-step explanation:

(240-252/240)×100

If x =3+2 root 2 find x - 1/x​

Answers

Answer:

-2+2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since we have the value of x, 3+2[tex]\sqrt{2}[/tex], we can plug that value into the new equation.

We would recieve (3+2[tex]\sqrt{2}[/tex]-1)/3+2[tex]\sqrt{2}[/tex]

Which could simplify to -2+2[tex]\sqrt{2}[/tex]

[tex]x-\dfrac 1x\\\\\\=3+2\sqrt 2- \dfrac 1{3+2\sqrt 2}\\\\\\=3+2\sqrt 2 - \dfrac{3-2\sqrt2}{\left(3+2\sqrt 2\right) \left(3-2\sqrt 2 \right)}\\\\\\=3+2\sqrt 2 -\dfrac{3-2\sqrt 2}{3^2 - \left(2\sqrt 2 \right)^2}\\ \\\\=3+2\sqrt 2-\dfrac{3-2\sqrt2}{9-8}\\\\\\=3+2\sqrt 2-3+2\sqrt 2\\\\\\=4\sqrt2[/tex]

Find the diameter of the circle with the given circumference. Use 3.14 for pi . C=18 cm

Answers

Answer:

[tex]d=\frac{18}{\pi }[/tex]

Step-by-step explanation:

We work our way backward to find the diameter.

Circumference of a Circle Formula:

[tex]C=2\pi r[/tex]

r is radius , 2*radius = diameter.

Given information: C=18 cm , pi=3.14.

[tex]C=2\pi r\\18=2\pi r\\[/tex]

Get r by itself.

[tex]r=18/2\pi\\r=9/\pi[/tex]

r≈2.864788976

2*r=d

[tex]2*9/\pi =diameter\\d=\frac{18}{\pi }[/tex]

Maliki is building a ramp that is next to a building. The ramp is 5 feet long and has a vertical height of 2 feet. Approximately far away from the building is the ramp? building 2 feet 5 feet
and it is pythagorean theorem

Answers

Answer:

about 4.58 feet

Step-by-step explanation:

[tex] {2}^{2} + {x}^{2} = {5}^{2} [/tex]

[tex]4 + {x}^{2} = 25[/tex]

[tex] {x}^{2} = 21[/tex]

[tex]x = 4.58[/tex]

Find the median, first quartile, third quartile, and interquartile range of the data.

40,33,37,54,41,34,27,39,35
??????? I haven't heard this before

Answers

Answer:

Median: 37

First quartile: 33.5

Third quartile: 40.5

Interquartile range: 7

Step-by-step explanation:

Your first step should be putting them in order from least to greatest.

27, 33, 34, 35, 37, 39, 40, 41, and 54. Now to find the median you have to find the middle which in the case would be 37. Now to find the 1st quartile u eliminate the meduan and focus on the lower half of the numbers which would be 27, 33, 34, and 35. If you numbers are even you add and divide by 2. In this case you have to add 34 and 33 and then divide by 2 since they are both in the middle. Your 1st quartile would be 33.5. To find the 3rd quartile you do the same thing as the 1st quartile. Only focus on the upper half now. add both the middles then divide by 2 since there are 2 middles. You 3rd quartile should be 40.5. To fine the inerquartile range you subtract the 1st quartile from the 3rd. so it would be 40.5-33.5 which would give you 7. If you want to fine just the range you would subtract the highest number from the lowest number.

(20 POINTS AND BRAINLIEST) What is the area of the shaded region?

Type only the numeric answer

Answers

Answer:

59 square inches.

Step-by-step explanation:

Equation for area of whole, large triangle:

A = 1/2(b)(h)

A = 1/2(13)(14)

A = 91 square inches

Equation for area of tiny, white triangle:

A = 1/2(b)(h)

A = 1/2(8)(8)

A = 32 square inches

Equation to find the area of the shaded region:

A = 91 - 32

A = 59 square inches

Answer:

64

Step-by-step explanation:

It's 64 because the area is the inside and 8 x 8 = 64.

The volume of a sphere is 1928m. What is the surface area of the sphere to the nearest tenth?

Answers

Answer:

749.1m

Step-by-step explanation:

Hope this helped!

Explain how you can know whether a system of linear equations will have infinite solutions.

Answers

Answer

If the y-intercept and slope of two lines are the same, they are on the same precise line. To put it another way, if the two lines are the same line, the system should have an endless number of solutions.

trust me

The length of a rectangle is three times it’s width if the perimeter of the rectangle is 80m find it’s area

Answers

Answer:

 =3y^2

Step-by-step explanation:

let,

       length: x

        width: y

According to condition,

      x = 3y   -----------(1)

Second condition

      Perimeter = 2 (l + b)

         80 = 2 (x + y)

         x + y = 40  -------------(2)

              To find area,

         Area = L x B

                    =3y x y

                     = 3y^2

6 Jose burns an average of 200 calories in 25 minutes of running.
Part A
How many calories does Jose burn per minute?
Show your work.
Jose burns
calories per minute.

Answers

Answer:

8

Step-by-step explanation:

200 calories÷25=8

8 calories are burn in a minute.

To check if you answer is right,

8x25=200(8= the calories that are burn in a minute

(25= the full minute)

So Jose burn 8 calories per minute.

Will give Brainliest

At one time, the 1995-1996 chicago bulls had the best record in the history of the NBA, with 72 wins and 10 losses. What percent of their total game did they win?


Please don't solve it but please explaint how to solve it

Answers

Answer:

Step-by-step explanation:

1.  Find the total number of games (72 + 10).

2.  Find the ratio of wins (72) to this total number (82)

3.  Multiply the resulting fraction by 100%

Solve for x. Round answer to the nearest tenth. Submit 20 27​

Answers

Answer: 115.6

Step-by-step explanation:

Nina signs an)
for her new apartment for a one-year term at $800 a month rent

Answers

Answer:

she would pay 9,600 for 12 months

Step-by-step explanation:

12x800=9,600


Please help convert this from quadratic form to vertex form
Please show all steps thank you so much!!!

Answers

Answer:

[tex]y=3x^2+12x+11[/tex]

Step-by-step explanation:

To convert this equation into standard form simply expand the equation out using PEMDAS.

PEMDAS

To solve this question you must remember the order of PEMDAS

1) Parentheses

2) Exponents

3) Multiplication and Division

4) Addition and Subtraction

Expanding the Equation

Expand the binomial by raising (x+2) to the second power.

[tex]y=3(x^2+4x+4)-1[/tex]

Next, using the distributive property, distribute the 3.

[tex]y=3x^2+12x+12-1[/tex]

Then, combine like terms.

[tex]y=3x^2+12x+11[/tex]

PLEASE HELP!! 7.9 divided by 276.5. Show your work on a paper or online thanks! <3

Answers

Answer:3.5

Step-by-step explanation: Check file

Ben works at the Sudsy Scrubbers car wash. Last week, he recorded the number of cars he washed each day.

Answers

Answer:

6 , 25 ,Range

Step-by-step explanation:

Option c is the right answer

I hope it helped you

Question 2 (5 points)
(03.03, 03.06 MC)
What is the equation of the line that passes through the points (-2, 3) and (2, 7)? (5 points)
оа
x-y=-1
Ob
X-y=-2
Ос
x - y = -5
Od
X-y= -6

Answers

Answer:

[tex]x - y + 5 = 0[/tex]

Step-by-step explanation:

Given:

Line passes through (-2,3) and (2,7)

Required:

Find the equation of the line

The equation of the line passing through two points is given by

[tex]\frac{y-y_{1} }{y_{2}- y_{1} } =\frac{x_{}- x_{1} }{x_{2} -x_{1} }[/tex]

So, [tex]\frac{y-3}{7-3} =\frac{x-(-2))}{2-(-2)}[/tex]

[tex]\frac{y-3}{4} =\frac{x+2}{2+2}[/tex]

[tex]\frac{y-3}{4} =\frac{x+2}{4}[/tex]

Now, [tex]y-3 = x+2[/tex]

On rearranging,

[tex]x - y + 3 + 2 = 0x - y + 5 = 0[/tex]

Therefore, the equation of the line is [tex]x - y + 5 = 0.[/tex]

Anyone one know #14???

Answers

Answer:

d

Step-by-step explanation:

d is the one with both a y squared and x squared making it an ellipse or oval


1. What is the degree of 3x³y²z + 2xy³ - 9y + 5?
A. 3
B. 4
C. 5
D. 6

Answers

Answer:

--------------HeyA BenjamiN-----------------

Explanation :

All you need to do is count up the powers of each term and then sum it , the highest power is considered to be the degree.

SolvinG :

3x³y²z = 62xy³ = 49y = 1

- Our final answer is 6 .

---------------HappY LearninG <3 -------------

Answer:

d. 6

Step by step explanation:

Which expression is equivalent to n5 • k5 • n-5 • k?



a. N^5 k


b. N^-25 k^5


c. K^6


d. (nk)^6

Answers

The expressions are algebraic expressions, and the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

How to determine the equivalent expression?

The expression is given as:

n⁵ * k⁵ * n⁻⁵ * k

Rewrite the expression as:

n⁵ * k * n⁻⁵ * k = n⁵ * n⁻⁵ * k⁵ * k

Apply the law of indices

n⁵ * k * n⁻⁵ * k = k⁶

Hence, the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ1

Answer:

k^6

Step-by-step explanation:

PLS HELP ME?!?!?!
Calculate the area of the following.

Answers

Answer:

678

Step-by-step explanation:

Im pretty sure, but take a look at my work below and see if you think its right:

Which of the following sets of data does NOT represent a function?
Set A
X
y
|3
6
s
14
15
9
7
2.
Set B
X
JO
11
y
3
18
2
18
|-7
13
Set C

Answers

Set B has 2 of the same Y values which makes it not a function.

Mary and Jim are trying to compare the widths of a window and door. In order to do so, they use strings to measure the widths. They then compare the string lengths to see which one is wider. This is an example of which type of comparison

Answers

Answer:

This is an example of comparing two objects indirectly.

Step-by-step explanation:

Help. Please!!! 30 points

Answers

A
B
C

Those three are the answer

Please help me answer this question!

Answers

Answer:

Step-by-step explanation:

the change in students is 7

The change in textbooks is 35

the consent change is 7:35

The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
O A. About 60% of the books have fewer than
150 pages.
O B. About 16% of the books have fewer than 150 pages.
O c. About 95% of the books have more than 150 pages.
O D. About 16% of the books have more than 150 pages.
Reset
Next

Answers

Answer:

I'm guessing that the answer is OB

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