Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.

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Pythagorean Theorem (Rounding)Find The Length Of The Third Side. If Necessary, Round To The Nearest Tenth.

Answers

Answer 1
the answer would be 6.2
Answer 2
Answer:   6.2

Work Shown:

[tex]a^2 + b^2 = c^2\\\\a^2 + 5^2 = 8^2\\\\a^2 + 25 = 64\\\\a^2 = 64-25\\\\a^2 = 39\\\\a = \sqrt{39}\\\\a \approx 6.244998\\\\a \approx 6.2[/tex]


Related Questions

There are no competing lemonade stands. One day, each lemonade stand recorded the number of glasses of lemonade they sold
each hour. The number of glasses of lemonade sold are shown in the box plot below.
Stand 1
Stand 2
14
15
16 17 18
19 20 21 22 23 24
Glasses of Lemonade Sold
Based on these samples, what generalization can be made?
A. The range of the hourly number of glasses at lemonade sold at stand 1 is less than the range of the hourly number of
glasses of lemonade sold at stand 2.
OB. The interquartile range of the hourly number of glasses of lemonade sold at stand 1 is greater than the interquartile range
of the hourly number of glasses of lemonade sold at stand 2.
OC. The third quartile of the hourly number of glasses of lemonade sold at stand 1 is less than the third quartile of the hourly
number of glasses of lemonade sold at stand 2.
OD. The median of the hourly number of glasses of lemonade sold at stand 1 is less than the median of the hourly number of
glasses of lemonade sold at stand 2.

Answers

Answer:

A

Step-by-step explanation:

I got it correct on study island.

A forest has 1260 trees.
The trees are maple, beech or oak.
A fifth of the trees are maple and the number of maple trees is 3 times the number of beech trees.
The rest of the trees are oak.
number of oak : number of beech = n : 1
Work out the value of n .
You must show how you get your answer.

Answers

Answer:

[tex]\huge\boxed{\sf n = 11}[/tex]

Step-by-step explanation:

Total trees = 1260 trees

Maple trees:

[tex]\displaystyle = \frac{1}{5} \ of \ total \ trees\\\\= \frac{1}{5} \times \ 1260\\\\= \frac{1260}{5} \\\\= 252 \ maple \ trees[/tex]

Beech trees:

Given that:

Maple trees = 3 × beech trees

=> There are 252 maple trees.

252 = 3 × beech trees

Divide 3 to both sides

252 / 3 = beech trees

84 trees = beech trees

[tex]\boxed{\sf beech \ trees = 84 \ trees\\}[/tex]

Oak trees:

It is said that all other trees are oak trees.

So, oak trees will be:

= total trees - maple trees - beech trees

= 1260 - 252 - 84

= 924 trees

The ratio of oak trees to beech trees:

= 924 : 84

Divide 84 to both sides

= 11 : 1

The question says:

number of oak : number of beech = n : 1

So, from the answer, it is clear that:

n = 11

[tex]\rule[225]{225}{2}[/tex]

first to answer correctly will be marked brainliest

Answers

Answer:

Step-by-step explanation:

Binomial: 2 termsTrinomial: 3 termsLinear: a straight lineQuadratic: like a curved line

(3x + 2) - (x + 5)

1(3x + 2) - 1(x + 5)

3x + 2 - x - 5 <== combine like terms

3x - x + 2 - 5

2x - 3 <== final answer, linear binomial

(2x + 8) + (3x² - 2)

1(2x + 8) + 1(3x² - 2)

2x + 8 + 3x² - 2

3x² + 2x + 6 <== final answer, quadratic trinomial

(3x + 8) + (4x² - x)

1(3x + 8) + 1(4x² - x)

3x + 8 + 4x² - x

4x² + 2x + 8 <== final answer, quadratic trinomial

(x² + 5x minus (-) 2) + (8 minus (-) 5x)

(x² + 5x - 2)  + (8 - 5x)

1(x² + 5x - 2)  + 1(8 - 5x)

x² + 5x - 2 + 8 - 5x

x² + 6 <== final answer, quadratic binomial

(x² + 7x) - (x² + 5)

1(x² + 7x) - 1(x² + 5)

x² + 7x - x² - 5

7x - 5 <== final answer, linear binomial

Hope this helps!

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Simplify the following expression: (52)^8

Answers

the answer is- 5.3459729e+13

What is the volume of a sphere with a diameter of 6 m rounded to the nearest tenth of a cubic meter

Answers

Answer:

  113.1 m³

Step-by-step explanation:

In terms of diameter, the volume of a sphere is given by the formula ...

  V = (π/6)d³

For a diameter of 6 m, the volume is ...

  V = (π/6)(6 m)³ = 36π m³ ≈ 113.1 m³

The volume of the sphere is about 113.1 cubic meters.

Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM measures 25 ft. What is the area of Felipe’s bedroom floor? Show all work and round your answer to the nearest tenth.


will mark brainlist

Answers

Answer: 312.3 square feet

Step-by-step explanation:

The area of Felipe’s bedroom floor is 312.3 square ft.

What is Pythagoras theorem:

If we have a right-angled triangle then we can write the following equation,

(Hypotenuse)² = (Base)² + (Height)²

Properties of a rectangle:

In the given figure attached below  the properties are as follows:

ML = JKKL = JMarea = (Base  × Width) =  KL × ML

In the given question and in the figure attached below the given values are:

ML = 18 ft.KM = 25 ft.

By applying Pythagoras theorem in ΔKML we get,

(KM)² = (KL)² + (ML)²

Putting all the values in the above equation,

(25)² = (KL)² + (18)²

By rearranging,

(KL)² = (25)² - (18)²

Applying the formula, a² - b² = (a + b)(a - b) we get,

(KL)² = (25 + 18)(25 - 18)

(KL)² = 43 × 7

KL = √301 ft.

Now the area is,

area = KL × ML

        = (√301 × 18) square ft.

        = 312.3 square ft.

Therefore, the area of Felipe’s bedroom floor is 312.3 square ft.

To know more about the area and how to calculate the area of a rectangle click here - brainly.com/question/25292087

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Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

24

Step-by-step explanation:

Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]

Solving:

[tex]a^2+7^2=25^2[/tex]

[tex]a^2+49=625[/tex]

[tex]a^2=579[/tex]

[tex]\sqrt{a^2} = \sqrt{579}[/tex]

[tex]a=24[/tex]

Checking:

[tex]24^2+7^2=25^2[/tex]

Answer:

24

Step-by-step explanation:

Use the Pythagorean Theorem:

A^2 + B^2 = C^2

See the attached image.

What is the mean of the values in the stem-and-leaf plot?




Enter your answer in the box.




Key: 2|5 means 25

Answers

Answer:

42

Step-by-step explanation:

If you add all the number in the stem and leaf plot it equals 336 and you divide by how many numbers there are and there are 8 numbers so 336/8=42

Please mark as Brainliest

I'm not sure what this is can anyone lend a hand?

Answers

Answer:

38 minutes

Step-by-step explanation:

You have to see how long between the beginning time and ending time.

Hope this helps.

38 minutes
There are 60 minutes in an hour.
At 5:34 we are 34 minutes into the hour.
60(minutes in an hour) - 34 minutes is 26.
At 6:12 we are 12 minutes into the hour.
12 + 26 = 38

Find the slope and the y-intercept of the line.
Y=2-1/3x

Answers

Answer:-

Slope:- -1/3

y-intercept:-  2

Solution:-The equation of the line is written in slope-intercept form, which looks like this:- y=mx+b.In this formula, m stands for the slope, and b stands for the y-intercept of the line.In this case, the equation looks like this:- y=b+mxHowever, it does not matter. m is still the slope and b is still the y-intercept.Also, you should notice that the slope is the coefficient of x (the number next to x) and b is the constant (a number added/subtracted to/from the slope)Therefore, the slope of the line is equivalent to:--1/3And the y-intercept is equivalent to the following:-2

Hope it helps.

Do comment if you have any query.

Answer:

Slope: -1/3

Y-intercept: 2

Explanation:

The equation y = 2 - 1/3x is in slope-intercept form.

The format of slope intercept is y = mx + b, where m = slope and b = y-intercept.

The slope is the coefficient of x.

Hence, the slope of y = 2 - 1/3x is -1/3.

As for the y-intercept, that is the constant.

The constant in y = 2 - 1/3x is 2. Hence, the y-intercept is 2.

PLEASE HELP AS SOON AS POSSIBLE
6) The graphic shows the average number of points scored per game for
ten players in the NBA. What is the range value of the data set? A) 3.45 B) 3.5 C) 6.9 D) 7

Answers

Answer:

6.9

Step-by-step explanation:

I took the USATP hope it helps

Which of the following are identities? Check all that apply.
A. sin(x+y)+ sin(x - y) = 2cos x siny
B. cos(x + y) + cos(x- y) = 2cos x cosy
C. tan(x - 2) = tan x
D. COS(x + y) - cos(x - y) = 2 cos xcosy

Answers

Answer:

B. cos(x+y) + cos(x-y)= 2cosx.cosy

Step-by-step explanation:

cos(x+y) + cos(x-y)

= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny

=cosx.cosy + cosx.cosy

=2cosx.cosy

Find five numbers so that the mean, median, mode and range are all 4​

Answers

Answer:

4, 4, 4, 4, and 4

Step-by-step explanation:

mode = 4

median = 4

so we know two of the five numbers are 4;

[tex](x+x+x+4+4)/5 =4[/tex]

[tex](3x+8x)/5 = 4[/tex]

multiply both sides by 5

[tex]3x+8=20\\3x=20-8\\3x=12\\x=4\\[/tex]

therefore; the numbers are all 4

An angle is reflected across the y−axis. how is the measure of the reflected angle related to the measure of the original angle?the measure of the reflected angle is equal to the measure of the original angle.the measure of the reflected angle is equal to the measure of the original angle.the measure of the reflected angle is half the measure of the original angle.the measure of the reflected angle is half the measure of the original angle.the measure of the reflected angle is one-third the measure of the original angle.the measure of the reflected angle is one-third the measure of the original angle.the measure of the reflected angle is twice the measure of the original angle.the measure of the reflected angle is twice the measure of the original angle.

Answers

The measure of the reflected angle is equal to the measure of the original angle

Reflection of angles and coordinates

An image or figure reflected are mirror images of each other. While the coordinate points of the vertices of a figure are affected by reflection, the angles remain the same.

Hence if an angle is reflected across the y−axis, the measure of the reflected angle is equal to the measure of the original angle

Learn more on reflection here: https://brainly.com/question/1908648

Find the volume of the prism or compound shape.

Answers

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³.

How to determine the volume of the compound shape

The volume is the space occupied by an object. The volume of the compound shape equals the sum of the individual volumes, that is, of each part, which are represented by two hemispheres and a right cylinder.

Now we proceed to determine the volume of the compound shape (V), in cubic inches, by apply the following calculation:

V = (4/3) · π · (3 in)³ + π · (3 in)² · (10 in)

V = 66π in³

The volume of the compound shape, that is the object formed by two hemispheres and a right cylinder is 66π in³. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/13338592

What is the volume of the water in the tank?

Answers

Answer:

1008 in^3

Step-by-step explanation:

V= l*w*h

12.8*10.5*15=2016 in^3

The tank is half full

2016/2= 1008

1008 in^3

4) Debble uses 8 ounces of apples to make one serving of applesauce. How many servings
of applesauce can she make with 6 pounds of apples?
4) Hint: There are 16 ounces in 1 pound

Answers

Debble uses 8 ounces of apples to make one serving of applesauce.

12 servings of applesauce can she make with 6 pounds of apples.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Debble uses 8 ounces of apples to make one serving of applesauce.

There are 16 ounces in 1 pound

1 ounce = 1/16

8 ounces = 1/16 x 8

 = 0.5 pounds

8 ounces of apples to make one serving of applesauce.

0.5 pounds apples = 1 serving of applesauce.

1 pound of apples = 1 / 0.5 serving of applesauce.

6 pounds of apples =

= [tex]\frac{1}{0.5} \times 6\\\\\frac{60}{5}\\ \\12[/tex]

Learn more about the unitary method;

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2; 4; 6; 8; ...

1. describe the relationship between the position of the term and the value of the term in the sequence in words

2. write down a general term for the sequence in terms of n: Term n = ........

3. use the general term to find the 10th and the 20th term in each sequence



Answers

I hope that I can help you:)

is it possible to mass the sum of $153 in $5 bills? explain your answer​

Answers

Answer:

Step-by-step explanation:

Let me see if I understand what you mean. Do you mean can you have 153 dollars in your pocket when all you have is 5 dollar bills?

If that is what you mean, then no that isn't possible. You can get 150 dollars or you can get 155 dollars, but you can't get 153.

In order to do the problem, using only 5 dollar bills, the number you choose must end in 0 or 5. If it ends in anything else, the task is impossible.

The regular price of a baseball bat is $38.20. The baseball bat is on sale for %20 off the regular price. Josef has a coupon for an additional 10% off the sale price. What is the final price of the baseball bat?​

Answers

Answer:

$27.5

Step-by-step explanation:

Other solution

38.2 X 0.8 = 30.56 (20% off)

30.56 X 0.9 = 27.504 (Another 10% off)

For each ordered pair determine whether it’s a solution to
Y=6x-4

Answers

Answer:

The answer is in the image

Step-by-step explanation:


Find the value of x
A. 8
B. 4
C. 19
D. 2

Answers

2x+35=5x-22

2x-5x=-22-35

-3x=-57

3x=57

x=57/3

x=19

what is 5 2/3 x 13? I'm not really good with fractions

Answers

Answer:

The answer is 221/2 or 73 ⅔

Step-by-step explanation:

5 ⅔ = (3 × 5 + 2) ÷ 3 = 17/3

Now,

17/3 × 13 = 221/2 = 73

Thus, The answer is 221/2 or 73 ⅔

help quick i will give brainliest

Answers

Answer: 60 cubic units is the volume

Step-by-step explanation: multiply the base area and the height. The base area is 4 cubes and 3 cubes so equals 12 . Then the height is 5 cubes so multiply equals 60 but I am sorry I only know the volume

Answer: all answers down below ⬇️

Step-by-step explanation:

What is the volume of the prism?

The volume is 56

Explain how you found the volume. You may show your explanation.

I added by 5s until i got 50 units and then there were only six more

What would be the dimensions of a new right rectangular prism that has 20 fewer unit cubes than the original prism?

Well if that happend the volume would be 36 if I’m right

Explain how you determined the dimensions of the new right rectangular prism.

add by 5s then 4s

How do the help do you do this

Answers

Answer:

for the first one you find the slope and y intercept and for the second one get Y by itself so you have to subtract the 2x and put it on the 16 side first so it will look like this Y=-2x+16 then find your answer

Step-by-step explanation:

Hope this helps you

[tex]y=3x+1~~~...(i)\\\\2x+y=16~~~...(ii)\\\\\text{Substitute y= 3x+1 in eq (ii):}\\\\2x+3x+1 = 16\\\\\implies 5x +1 = 16\\\\\implies 5x = 16-1 = 15\\\\\implies x = \dfrac{15}5 = 3\\\\\text{Substitute x = 3 in equation (i):}\\\\y= 3(3) +1 = 9+1 = 10\\\\\text{Hence,}~ (x,y) = (3,10)[/tex]

Which is the best buy?
Pack of 8 apples for £1.65
Pack of 6 apples for £1.25

Answers

Answer:

Pack of 6 apples for £1.65 is better because the price of 1 apple is less in this answer.

If a gas tank and hold 25 gallons how many gallons does it contain when it is 2/5 full

Answers

10 gallons

Explanation:

If you divide 25/5 you get 5 gallons. If 1/5 is 5 gallons then 2/5 is 10 gallons.

18. Monique owns a catering business. Last weekend, she catered two events in which all attendees were served
either a chicken or a steak
dinner. The table below shows some pricing information about these two events
Before Tax Prices of Monique's Catered Events
Day of Number of chicken Number of steak Total before-tax
event Dinners served Dinners served
Price of dinners
Saturday 27
17
$809.50
Sunday
46
34
$1,495,00
The following system of equations can be used to determine the before-tax prices of dollars for each chicken
dinner and s dollars of each steak dinner Monique served.
27c+ 17s = 809.50
46c + 34s = 1,495.00
What is the before-tax price of a chicken dinner?
1:11

Answers

Solving the system of equations, it is found that the before-tax price of a chicken dinner is of $15.5.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: Price of a chicken dinner.Variable s: Price of a steak dinner.

The system is given by:

27c+ 17s = 809.50

46c + 34s = 1,495.00

Multiplying the second equation by -0.5 and adding with the first we can remove s, hence:

27c+ 17s = 809.50

-23c - 17s = -747.50.

4c = 62.

c = 62/4.

c = 15.5.

The before-tax price of a chicken dinner is of $15.5.

More can be learned about a system of equations at https://brainly.com/question/24342899

why is this not working

-2^2

Answers

Answer:

-4

Step-by-step explanation:

(-2)^2=4 because a negative number squared is always positive

-(2)^2=-4

What is an equation of the the line that passes through the point (-1,4) and is parallel to the line x+y=4

This is so important!! Ive tried everything

Answers

Answer:

y = -x + 3

Step-by-step explanation:

the equation is parallel to the line

y + x = 4

y = 4 - x

parallel means the same slope. So our new equation has a slope of -1

Now, the equation of a line is given by y = mx + b where m is the slope.

y = -x + b

now we plug in the points given in the question to find b.

4 = 1 + b

b = 3

so the final answer is y = -x +3

make sure to comment if you need any further guidance.

Parallel lines have same slope. Write the given equation in y = mx + b form
x + y = 4
y = -x + 4
m = -1

Equation of the required line:
y= -1x + b
Now plug-in (-1,4) in the above equation
4 = -1 * (-1) + b
4 = 1 + b
4 -1 = b
b = 3
Equation:
y = -x + 3
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