Two sides of a triangle have length 10 and 17. What is the range of the length of the 3rd side

Answers

Answer 1

Answer:

13.7477270849 to 19.7230829233.

Step-by-step explanation:

1. Using the pythagorean theorem, a²+b²=c², we try different combinations of given lengths 10 and 17.

2. If 10 and 17 are legs and 10²+17²=√389 = 19.7230829233, then c=19.7230829233.

3. If 10 is a leg and 17 is a hypotenuse,

10²+b²=17²

100+b²=289

b²=189

b=13.7477270849

4. The case of 17 is a leg and 10 is a hypotenuse is not possible because the hypotenuse is the longest side.

5. The range of the length of the 3rd side is 13.7477270849 to 19.7230829233.


Related Questions

Which value in scientific notation is the best estimate for 0.0000058102?


A.
5 × 10-5
B.
6 × 10-5
C.
5 × 10-6
D.
6 × 10-6

Answers

Answer:

option C 5×10-6 is right answer

Answer:

[tex]c \: ) \: 5 \times 10 - 6[/tex]

c is the answer

Help me please

x/3+12=2

Answers

Answer:

x = -30

Step-by-step explanation:

minus 12 on both sides

updated equation: x/3=-10

multiply 3 on both sides

updated equation

x = -30

solve the equation and show work

2 (f - 2) = 3 (2f + 5) -8

Answers

answer:

f = -2.75


steps:-

2(f - 2) = 3 (2f + 5) 8


2f - 4 = 6f + 15 - 8


2f - 6f = 15 - 8 + 4


-4f = 15 - 8 + 4


-4f = 11


f = 11 ÷ ( - 4)


f = -2.75


Answer:

f=-2.75

Step-by-step explanation:

2(f-2)=3(2f+5)-8

2f-4=6f+15-8

2f-6f=7+4

-4f=11

f=-11÷4

=-11/4=-2/3/4=-2.75

using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)

Answers

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)

A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the model? Round to the nearest tenth if needed.

Answers

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = [tex]\frac{1}{9}[/tex]in

Rb = real building = 678ft = 8136in

Rw = real window = ?

[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]

[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]  

[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]

[tex]\frac{8136}{162}[/tex] = Rw

[tex]\frac{452}{9}[/tex] = Rw

Rw ≈ 50.2in ≈ 4.2ft

8th Grade

Can you help me please, and how did you get your answer. I don't know how to do this.

Look at Image

Answers

Answer:

y= 3 when x= 0

y=3

Step-by-step explanation:

in the problem, there's a patten in the difference of X and Y,

at first, Y is 3 more than X (2 and 5)

then y is 4 more, 5 more, and 6 more.

y goes up by 1 each time

so if Y is 5 when X is 2, then when X is 1 Y is 4

when X is 0 Y is 3

Answer:

2?

Step-by-step explanation:

y is adding by 3 every time...

Maybe that helps?

THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.

Answers

Answer:D

total 450 marks 90 of which are maths

90/450= 0.2

0.2=20%

20% is D

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

90/450=2/10

Evaluate the expression
-2(12 – 2(-4))?

Answers

The answer is -40

-2(12-2(-4))
-2(12+8)
-2x20
-2x20 = -40

What is 38 + 7k = 8(k + 4)

Answers

Steps

38 + 7k = 8k + 32

38 + 7k - 38 = 8k + 32 - 38

7k = 8k - 6

7k - 8k = 8k - 6 - 8k

-k = -6

-k/-1 = -6/-1

k = 6

Answer

k = 6

Chanyeol makes a rectangle whose area is x^2 - 24x - 52. Find the possible dimension of the rectangle.

A. (x - 2) (2x - 1)
B. (x + 3) (x)
C. (x + 2)(x + 4)
D. (x + 2) (x - 26)​

Answers

Answer:

D

Step-by-step explanation:

Factor the equation.

x² - 24x - 52

Two numbers when multiplied equals to -52 and added equals to -24 are -26 and +2.

Therefore,

(x+2)(x-26) is the right answer.

Help please i need the answer by tonight for my grades

Answers

Answer:

X equals negative 11

Step-by-step explanation:

The angles in a triangle add up to be 180 degrees, and we already have 80 as one angle and 60 as the other. That equals 140 degrees. But now we have x+51. That would equal 191 degrees, so 191-180=11, so x= -11

Answer:

x=-11

What we know=

Angles A'=x+51

Angle B=60

Angle C=80

Angle B' and C'=?

Due to the vertically opposite angle rule, we know angle B' and C' are the same as angle B and C.

So, angle B' is 60 degrees. Angle C' is 80 degrees.

We can add them together to get 140 degrees.

So we have 140, x+51. We can make an equation.

[tex]180=140+51+x[/tex] We can combine like terms (140 and 51) to get 191

A triangle only adds up to 180 degrees. So now you can subtract 180-191=to get x.

John wants to make cupcakes. To make cupcakes, he needs 5/7 of a cup of flour per
batch of cupcakes. If John has 10 cups of flour, then how many batches of cupcakes can
John make?

Answers

He can make about 7 batches! Hope this helped

Show that the equation x^3 + 6x - 5 = 0 has a solution between x = 0 and x=1

Answers

Answer:

Step-by-step explanation:

Solve the equation for 0 and 1:

x^3 + 6x -5

Replace x with 0:

0^3 + 6(0) -5 = -5

Replace x with 1:

1^3 + 6(1) -5 = 1+6 -5 = 2

Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0

Find the linear correlation coefficient for the table below. Keep 4 numbers AFTER the decimal
х
у
1
5
3
7
1.5 6
0
1
5
9
10 10
5
8
11
12
15 20

Answers

Answer:

no answer sorry I only study in class 7

Find the distance between the points (7, –5) and (–2, –4).

Write your answer as a whole number or a fully simplified radical expression. Do not round.

ALL MY POINTS

Answers

9.055

Step-by-step explanation:

distance

= √(x₁ - x₂)² + (y₁ - y₂)

= √[7 - (-2)]² + [-5 - (-4)]²

= √[9]² + [-1]²

= √(81 + 1)

= √82

≈ 9.055

Help ASAP I’ll mark you as brainlister

Answers

Answer:

about 0.10 cents a unit

Step-by-step explanation:

If I'm wrong, I'm sorry!!

I hope you have a great day! Good luck with your math!

if x:y = 2:5, find the value of (x + y) : (2x-3y)

Answers

Answer:

(x + y) : (2x-3y) = - 7/11

Step-by-step explanation:

The ratio is denoting:

x = 2

y = 5

Substitute your values into the equation's variables (x and y). Then solve.

(x + y) : (2x-3y)

(2 + 5 ) : [2(2) - 3(5) }

7 : [4-15]

7: -11

ratios can be turned into fractions.

7: -11 is the same thing as - 7/11

1/4 to the power of 7 times 1/4 to the power of -4

Answers

Answer:

0.015625

Step-by-step explanation:

the answer is 0.015625

Answer:

1/4^3

Step-by-step explanation:

1/4^7 x 1/4^-4 = 1/4^ 7+-4

=1/4^3

Four less than the product of three and n

Answers

Answer:

Statement should be : "4 less than the product of 3 and some number x is y" => 3x-4 = y

Step-by-step explanation:

Let "Four less than the product of three and n"

From the given statement we get an algebraic expression 3x - 4 = y.

What is an algebraic expression?

An algebraic expression in mathematics exists as an expression that stands created up of variables and constants, along with algebraic operations like addition, subtraction, etc. x exists a variable, whose value exists unspecified to us and can take any value.

An algebraic expression exists as an indication acquired by a finite number of the fundamental operations of algebra upon characters symbolizing numbers.

Let "Four less than the product of three and n". From the given statement we get an algebraic expression 3x - 4 = y.

To learn more about algebraic expression

https://brainly.com/question/19864285

#SPJ2

5 divided by 29.95 show work please​

Answers

0.167

Step-by-step explanation:

5 ÷ 29.95

= 5 ÷ 2995/100

= 5 × 100/2995

= 500/2995

≈ 0.167

5 divided by 29.95 is 0.167

Some friends played a board game. During the game, one unlucky player had to move back 4 spaces 5 turns in a row.
Find a number to represent that player's movements for those 5 turns

Answers

It is mxkjdjxjxjjx6+9

Answer:

-9 * 7 = -63

Step-by-step explanation:

Each scatter plot below shows the same data.

Which scatter plot has the most reasonable line of best fit?

Answers

Answer:

bottom right corner

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scatter plots' primary uses are to observe and show relationships between two numeric variables. ... Relationships between variables can be described in many ways: positive or negative, strong or weak, linear or nonlinear. A scatter plot can also be useful for identifying other patterns in data.

Which situation results in a final value of zero?

the overall change in temperature when the temperature goes from -10°F to 10°F

the total profit made when a person buys an item for $3 and then sells the item for $3

the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level

the total distance a person travels when he bikes 5 miles to school and then bikes 5 miles back home

Answers

B and D because 3-3 =0 and 5-5= 0.

f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0

Answers

The functions f(x) and g(x) combine to form a composite functions

The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

How to determine the function (fg)(x)

The functions are given as:

[tex]f(x) = \sqrt{2x[/tex]

[tex]g(x) = \sqrt{8x[/tex]

To calculate (fg)(x), we have:

[tex]f(x) = \sqrt{2x[/tex]

This gives

[tex]f(g(x)) = \sqrt{2g(x))[/tex]

Substitute [tex]g(x) = \sqrt{8x[/tex]

[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]

Simplify

[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]

Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

Read more about composite functions at:

https://brainly.com/question/10687170

Answer:

f.g x = 4x

Step-by-step explanation:

answer po plss plss plss

Answers

46-(-26)
= 46+26
= 72

As - and - together makes plus.

Hope it helps you and please mark my answer as the brainliest

Answer: OPTION A. 72

To find the difference beetween two numbers we need to subtract them.

So we need to figure out 46- (-26)

⇒46-(-26)

AS WE HAVE A NEGATIVE SIGN OUTSIDE THE BRACKET AND A NEGATIVE SIGN INSIDE THE BRACKET TO, THE NEGATIVE SIGN WILL GET MUTILPLIED TO THE NEGATIVE BEFORE THE BRACKET THUS WE WILL HAVE -×- AND WHEN SIGN IS MULTIPLIED WITH A NOTHER NEGATIV ESIGN THE PRODUCT IS POSITIVE SIGN SO,

46+26

⇒72

find the slope of the line

Answers

The slope is -1/2 so answer b.

If a horse runs 3/4 km in a minute, how many kilometers will the horse run in 7 minutes?

Answers

A lot of kilometers beans
3/4(7)= 21/4 or 5 1/4 km

Write this ratio as a fraction in the simplest form without any units. 8 yards to 15 feet. full anwser.

Answers

Answer:

8/3

Step-by-step explanation:

15 feet = 3 yards

8 yards to 3 yards

Your welcome!

Kayden Kohl

8th Grade Student

Herman and his dad are leaving early in the morning for his lacrosse tournament. Their house is 210 miles from the tournament. They plan to stop and eat after 2 hours of driving, then compete the rest of the trip. Herman's dad plans to drive at an average speed of 60 miles per hour. How long will the second part of the trip take

Answers

The second part of the trip took 1.5 hours.

Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:

Average Speed = total distance ÷ total time

Given that the distance from the house to the tournament is 210 miles, hence:

Total distance = 210 miles

Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:

Total time = t + 2

The average speed of 60 miles per hour, hence:

60 = 210 ÷ (t + 2)

60(t + 2) = 210

60t + 120 = 210

60t = 90

t = 1.5 hours

Therefore the second part of the trip took 1.5 hours.

Find out more at: https://brainly.com/question/9834403

Please help me last day to do this

Answers

Answer:

Q = 51,  S = 51,  R = 78

Other Questions
A computer is priced at $1575, but is on sale for 15% off. What is the price of the computerafter the discount and 7.5% sales tax? Help its urgent, PLEASE HELP!!!!!!!!!!!!!!!! Solve for the missing value.58 What is the importance of Holy Communion in Christian faith (10 answers) 25 PNTS (WARNING, some reading required) -please be detailed if possible-Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match each excerpt from Mark Twain's Adventures of Huckleberry Finn with the type of conflict it contains.TILES1: character versus self2: character versus society3: character versus nature4: character versus characterAREAS TO DRAG TILES TOA: Well, the days went along, and the river went down between its banks again; and about the first thing we done was to bait one of the big hooks with a skinned rabbit and set it and catch a catfish that was as big as a man, being six foot two inches long, and weighed over two hundred pounds. We couldn't handle him, of course; he would a flung us into Illinois.B: It made me shiver. And I about made up my mind to pray, and see if I couldnt try to quit being the kind of a boy I was and be better. So I kneeled down. But the words wouldnt come. Why wouldnt they? It warnt no use to try and hide it from Him. Nor from ME, neither. I knowed very well why they wouldnt come. It was because my heart warnt right; it was because I warnt square; it was because I was playing double. I was letting ON to give up sin, but away inside of me I was holding on to the biggest one of all.C: By and by he rolled out and jumped up on his feet looking wild, and he see me and went for me. He chased me round and round the place with a clasp-knife, calling me the Angel of Death, and saying he would kill me, and then I couldn't come for him no more. I WILL GIVE 21 POINTS TO THOSE WHO ANSWER THESE QUESTIONS RIGHT. Question 3 of 303. One way to keep customers with food allergies safe is todedicate one cook per shift to watch for customers with food allergies.O use clean utensils and equipment when preparing an allergy-free meal.O train servers to steer customers with allergies to the self-service salad bar.post signs throughout the operation stating that the operation is allergen-free. Which of the following names of geometric objects does The order of letters not matter a freshwater stream flows into the ocean as shown in the diagram which statement correctly describes how the stream affects these salinity of the ocean A- salinity increases because the stream adds salt to the ocean.B- salinity decreases because the stream adds freshwater to the ocean C- salinity increases because of stream adds freshwater to the ocean D- salinity Remains the Same because the stream adds freshwater to the ocean 11 Select the correct answer. What does the word courier mean based on the context clues provided? When Hector arrived at home, his mother Informed him that a courier had delivered an important letter for him earlier that day. . an employee OB. an assistant O c. a messenger OD. an operator Reset Next 2021 Edmentum. All rights reserved. You look bad! You look like that scraggly white kid from Disney shows. I need help with this question on IXL pls help ASAP!! Do you think John Adams or Thomas Jefferson was a better Presidentof the United States? And why? plz help will give crown Find the surface area of the prism. 5cm 7cm 4cm What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/2) Fredericksen Corporation makes one product and has provided the following information: Budgeted sales, February 8,700 units Raw materials requirement per unit of output 6 pounds Raw materials cost $ 2.00 per pound Direct labor requirement per unit of output 2.9 direct labor-hours Direct labor wage rate $ 21.00 per direct labor-hour Predetermined overhead rate (all variable) $ 10.00 per direct labor-hour Variable selling and administrative expense $ 1.10 per unit sold Fixed selling and administrative expense $ 80,000 per month The estimated cost of goods sold for February is closest to: (Round your intermediate calculations to 2 decimal places.) use a long method division to calculate 145 413 by 321 QUESTION 10 of 10: You learn that you can buy a used robot for $25,000. The robot can replace two people doing assembly work that arepaid $19 per hour. About how long would it take for the robot to pay for itself in labor savings?0000O a) 640 hoursb) 658 hoursc) 712 hoursd) 755 hours What was the annual cost for maintaining a field slave?