The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 14, 17
A. Acute Triangle


B. Obtuse Triangle


C. Right Triangle

Answers

Answer 1

Answer:

A. Acute Triangle

Step-by-step explanation:

Lets verify with Pythagorean:

17² = 28913² + 14² = 169 + 196 = 365289 < 365

The angle opposite to a greater side is less than 90° and the sum of the squares are close.

It means all three angles are less than 90°.

With this the triangle is acute.

Correct choice is A.


Related Questions

The downtown trolly travels around town on a rectangular route stopping at 4 different tourist destinations if the length of the rought was 5.5 miles and the with was 4 miels how far is one complete trip anser

Answers

Answer:

19 miles

Step-by-step explanation:

Given that :

Shape of route is rectangular :

Length of route = 5.5 miles

Width of route = 4 miles

Distance of one complete trip = perimeter of the rectangular route :

Perimeter of a rectangle :

P = 2(length + Width)

P = 2(5.5 + 4)

P = 2(9.5)

P = 19 miles

Hence one complete trip is 19 miles long.

Approximately students attend Jones Middle School. Below is the data collected from two random samples of students regarding school lunch preference. ​ ​Which of the following inferences can be made based on the data collected? Select all that apply.

Answers

Answer:

there is nothing to select. u need to provide more info

Ethan hits 4 ringers in 10 attempts while throwing horseshoes. What does an experimental probability of 2/5 describe?
Your answer:
O P (horseshoes)
O P (missed shots)
O P (attempts)
O P (ringers)

Answers

Answer: P (ringers)

Step-by-step explanation:

This probability is simplified from 4/10 to 2/5

Since he got 4 ringers out of 10 attempts

we can tell that this probability stands for Ringers

A box of chocolates costs $6.39. Debra bought 8 boxes. How much did she spend?
PLEASEE HELP

Answers

ummmmm she spent 51.12 dollars for 8boxes
$51.12 , 6.39x the amount bought (8)

This figure shows right triangles drawn inside of a rectangle

Answers

Answer:

Sin p=Cos v

Cos k=Sin r

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement.

The cosine of an angle is equal to the sine of its complement.

A swing hangs from a beam 10 feet high, with the seat hanging 2 feet above the ground. In motion, the swing moves back and forth from -130° to -50° to the horizontal. How far forward and back does the swing move along the ground at the extremes?

Answers

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Last year you drove your car 11,452 miles. You kept track of all your expenses for the year. Your fixed cost (insurance, license amd registration, depreciation) totaled $2,578 and your variable expenses ( gas, oil changes, repairs, tires) totaled $1,927. What was your cost per mile to operate your car?​

Answers

.39 per mile was the cost to operate your car

pls help me out!!! ((#4))

Answers

Pythagorean Therom
a^2 + b^2 = c^2
5^2 +b^2 = 7^2
25=b^2 = 49

49-25=b^2

49-25=14

b^2=24

b=sqrt24

sqrt24=4.89898

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

what am i sopposed to do?

Step-by-step explanation:

help me please༼ つ ◕_◕ ༽つ

The value of x is ___, and the value of y is ___.

Answers

Answer:

I think x is 60 and y is 50.

Step-by-step explanation:

70 + 50 = 120

180 - 120 = 60

x = 60

50 + 50 = 100

70 + 60 = 130

130 + 100 = 230

230 - 180 = 50

y = 50

I hope this helps u! :D

Answer:

x=60 y=50

Step-by-step explanation:

180 is equal to the whole triangle so 50+70=120 and 180-120= 60

the other triangle has a missing value by doing the same thing before we can figure out that the missing value is 70. 70+x which is 60 equals 130. A straight line is equal to 180 so 180-130= 50.

Hope I could help!

A company that manufactures calculators has determined that for every 500 calculators they make, 12 of them are defective. If this company makes 3,000 calculators in a week, how many should they expect to be defective? A.2
B.6
C.18
B.72
E.83​

Answers

Answer: The answer is B

Step-by-step explanation:

You multiply 500, 6 times to get 3,000. Then multiply 12, 6 times. So 12 x 6=72

it should be d. 72. it is 72 because if you divide 500 from 3,000 you get 6. for each 500 calculators 12 are defective, so 12 x 6 = 72

Which list is in order from least to greatest? 1.94 x 10 1.25x 10.6x109.8.1 x 10 O 1.25x 10-2 194 10*6x10* 8.1 x 10 O 1.25x 10-2, 1.94 x 10.8.1 x 10^. 8x 10 1.94 x 104, 1.25x 10-2.8.1 x 10*. 6x 10*

Answers

Answer:

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

Step-by-step explanation:

Given

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

[tex](b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}[/tex]

[tex](c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}[/tex]

[tex](d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4[/tex]

Required

Which list is in ascending order

To do this, we analyze each of the options 1 after the other.

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

Convert each list item to decimal

[tex]1.94 * 10 ^-5 = 0.0000194[/tex]

[tex]1.25 *10 ^-2 = 0.0125[/tex]

[tex]6 *10^{4} = 60000[/tex]

[tex]8.1 *10^{4} = 81000[/tex]

The list is in ascending order because:

[tex]0.0000194 < 0.0125 < 60000 < 81000[/tex]

No need to test other options

Please answerrrrrrrrrr pleaseeeeeeee

Answers

Answer:

[tex]\Huge\boxed{x=53}[/tex]

Step-by-step explanation:

Hello There!

Once again we need to use trigonometry to solve for X

Here are the Trigonometric Ratios:

Sin = Opposite divided by hypotenuse

Cos = adjacent divided by hypotenuse

Tan = Opposite divided by adjacent

We are given the adjacent side of x (45) and the hypotenuse (75) so we need to use cos

Remember cos = adjacent divided by hypotenuse

Now we create an equation

[tex]cos(x)=\frac{45}{75}\\\frac{45}{75} =.6[/tex]

now we have

[tex]cos(x)=.6[/tex]

like always we want to get rid of cos

to do so we take the inverse of cos (arccos^-1) and apply that to each side

[tex]arccos^-^1(cos(x))=x\\arccos^-^1(.6)=53.13010235[/tex]

finally we round to the nearest degree

we're left with x = 53

this is URGENT BESTIES

Answers

Answer:

675 [tex]ft^2[/tex]

Step-by-step explanation:

The radius is 15, so replace r in the formula with 15

[tex]A=\pi 15^2[/tex]

A = 225 pi

A = 675

(using 3 for pi, since they specified)

Answer: 675

Step-by-step explanation:

4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets (some students and some adult) for $56.95. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets purchased?

Answers

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

Mr. Carlevato and Mr. Burrows get into a debate about two different expressions. · Mr. Carlevato says "2(2x + 3) is equal to 4x + 6". · Mr. Burrows says "Nope, wrong, those are clearly different expressions" Try substituting x=5 into both expressions. Do you get the same answer for both expressions? Show your work!

Answers

Answer:

Yes, the same answer is obtained.

Step-by-step explanation:

According to Mr. Carlevato, [tex]2(2x+3)[/tex] is equal to [tex]4x+6[/tex]. However, [tex]2(2x+3)[/tex] is not equal to [tex]4x+6[/tex] according to Mr. Burrows.

Put [tex]x=5[/tex] in [tex]2(2x+3)[/tex]

[tex]2[2(5)+3]=2(10+3)=2(13)=26[/tex]

Put [tex]x=5[/tex] in [tex]4x+6[/tex]

[tex]4x+6=4(5)+6=20+6=26[/tex]

Therefore,

[tex]2(2x+3)=4x+6[/tex]

Yes, the same answer is obtained.

PLEASE HELP

Write the equation that models the linear relationship.

The equation ____ models the linear relationship

(Use integers or tractions for any numbers in the
equation)

Answers

y= -3x -5 should be the answer

Solve, using linear combination.
8x + y = 14
3x + y = 4
(2.0)
(2,-2)
(0.2)
(-2.2

Answers

Answer:

(2,-2)

Step-by-step explanation:

what is food...................................

Answers

Answer:

Any solid substance that can be consumed by living organisms, especially by eating , in order to sustain life is food.

Step-by-step explanation:

Mary’s parents planted a garden that was 4 feet long and 5 1/2 feet wide. Lisa’s parents planted a garden that was 24 feet long and 5 1/2 feet wide. How many times larger is the area of Lisa’s garden?
A. 3 times larger
B. 6 times larger
C. They are equal
D. 20 times larger

Answers

Answer:

6 TIMES LARGER

Step-by-step explanation:

4 by 5.5 which is 22 and 24 by 5.5 which is 132 divide 132 by 22 to get your answer

Answer:6 time larger

Step-by-step explanation:

Find the mistake(s) in the problem below. Correct the mistake to find the correct area.
The radius of a circle is 53 mm.
r=53
53 divided by 2=26.5
d=26.5
A=3x26.5 squared
A=79.5
The area of the circle is79.5mm

Answers

Answer:

QFQF

Step-by-step explanation:

FAFAF

2 numbers a and b vary directly if ab =k, k is a constant is it correct​

Answers

Answer:

No, because 2 variables vary directly only if: a = k x b OR b = k x a, being "k" the constant

Step-by-step explanation:

See above

-18 < 9x

Solve for x ...

Answers

Answer:

x= -2

............................

Help please!!!!!!!!!!!!

Answers

Answer:

The order is :

1. Ruth

2. Alice

3. Debra

4 Lisa

Step-by-step explanation:

I hope that is useful for you :)

what is 18k+3

asking for a friend

k as in the letter not 18,000

Answers

factor 3 out of 18k+3.

3(6k+1)

Please help if you would like brianleist (correct answers) ^°^ Tyyy •√•

Answers

A = 86.625
U simply multiply base x height then multiply that by 3.5

Answer:

86.625 in³

Steps:

V = 5.5 × 4.5 × 3.5

V = 86.625 in³

The mean and the average are the same number

Answers

if ur asking if it’s true, then yes it is

Please just give me the answer to this question, I’m so lazy haha the Pablo one thank you!

Answers

Answer:

I would say its 640 seconds sorry if I'm wrong

Would be great if someone could solve this for me I’m not too sure how to do it .

Answers

I think the answer is

Write the system of equations
C + V = 40
4C + 6V = 180

Answers

Answer:

c=30

v=10

30+10=40

4*30=120

6*10=60

120+60=180

Other Questions
According to their religion, the Maya believed that A kings and priests could communicate with the gods.B their kings should be worshipped as living gods.C priests and nobles should not mix together.D human sacrifice was forbidden by the gods. answer algebra 1 problem below can i have some help? finf the total surface area of a cylinder with a base radius of 5 inches and a height of 5 inches A bowling ball rests on the floor. The bowling ball is given a push.Which of the following is the most likely change to happen to the bowling ball?It will move.It will gain mass.It will change colors.It will change shape. please help MATHEMATICS Select the sentence which is correctly punctuated.Tomorrow's talent show will include singing, juggling, joke, telling, and pantomime.Tomorrow's talent show will include singing, juggling, joke telling, and pantomime.Tomorrows talent show will include singing, juggling, joke telling, and pantomime. What is the solution to this system of equations?6.2-3y = 12y = 2x- 4 https://cantonschools.instructure.com/courses/1278/discussion_topics/14354 If GDP is confidently expected to grow at a rapid 4% rate this year, how do you predict investment spending will change? Is it likely to grow faster than, slower than, or at the same rate as GDP? Why? Based on this expectation, investment spending is likely to by 4%. A rapidly growing economy will generally make business people optimistic, expectations about potential future profits. As a result, they are eager to invest. The cells produced by the lymph nodes are ____.A. White blood cellsB. Red blood cellsC. OsteoblastsD. Osteocytes What DNA sequences control when and where the gene is turned on ? Which option best revises the sentence to convey the same meaning usingmore formal, domain-specific vocabulary?Lewis Latimer came up with the idea for the string thing that makes alightbulb light up when it gets connected to something that makespower flow through it.O A. Lewis Latimer figured out how to make a light burn better andbrighter by using a filament.B. Lewis Latimer dreamed up the concept of using a carbon-basedthread to help a light provide incandescence to surroundingaccommodations.C. Lewis Latimer invented the carbon filament, which glows whenelectrified within a lightbulb.D. Lewis Latimer made an important invention regarding the.lightbulbthat improved it by using a string thing made of carbon, whichlights up a room when electricity is turned on. Who went and explored the Louisiana Purchase? o Congress O Lewis and Clark O Napoleon O Jefferson Tell whether the angles are adjacent or vertical. Then find the value of x. PLSS HELP THIS IS DUE TODAY What are TWO reasons that would make you believe the results of this study? Heparin, a highly negatively charged glycosaminoglycan, is used clinically as an anticoagulant. It acts by binding several plasma proteins, including antithrombin III, an inhibitor of blood clotting. The 1:1 binding of heparin to antithrombin III seems to cause a conformational change in the protein that greatly increases its ability to inhibit clotting. What amino acid residues of antithrombin III are likely to interact with heparin HELPPPP PLEASEE 50 POINTSA graph labeled Solubility versus Temperature for a variety of salts has Temperature from 0 to 100 on the x axis and solubility in grams per 100 grams of water from 0 to 90 on the y axis. 5 solutes are shown. All data are approximate. Upper N a Upper C l starts at (0, 35) and rises evenly across the graph to (100, 40). Upper N a Subscript 2 Baseline Upper H Upper A s Upper O Subscript 4 Baseline starts at (0, 8), and rises steadily through (30, 38) to (80, 85). Upper B a (Upper N Upper O Subscript 3) Subscript 2 Baseline starts at (0, 5) and rises steadily across the graph to (100, 33). Upper N a Subscript 2 Baseline Upper S Upper O Subscript 4 Baseline starts at (0, 5), curves up steeply to (30, 50), and declines slowly to (100, 43). Upper C e Subscript 2 Baseline (Upper S Upper O Subscript 4) Subscript 3 Baseline times 9 Upper H Subscript 2 Baseline Upper O starts at (0, 19), falls to (20, 10), and continues to decline to (100, 0). What is the solubility of Na2HAsO4 at 60C?20 g/100 mL of water46 g/100 mL of water65 g/100 mL of water70 g/100 mL of water M,p, and z represent the lengths of the three sides of this right triangle. Select all the equations that represent the relationship between m,p, and z .