A triangle has side lengths of 18 in., 22 in., and 29 in. Is the triangle acute, obtuse, or right?

Acute
Obtuse
Right
None of the above

Answers

Answer 1
Answer:  Obtuse

========================================================

Explanation:

We have a triangle with these side lengths

a = 18b = 22c = 29

Computing a^2+b^2 gets us

a^2+b^2 = 18^2+22^2 = 808

Compare this to c^2

c^2 = 29^2 = 841

Because 808 < 841, this means a^2+b^2 < c^2

-------------------

We have three cases:

If a^2+b^2 > c^2, then the triangle is acuteIf a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 < c^2, then the triangle is obtuse

For more information, check out the converse of the Pythagorean Theorem.


Related Questions

5 Vera is a shop manager. 5 She has this information about the income in her shop for eight weeks this year. Week 1 2. 3 4 5 6 7 8 Income (thousands of £) 53.5 42.3 39.8 45.1 52.4 19.4 47.9 42.5 The median income for the same eight weeks last year was £49 300 Vera knows that the median income for these eight weeks has decreased this year compared to last year. (a) Work out the percentage decrease of the median income. Give your answer to 2 decimal places. ​

Answers

Using the median concept, it is found that it suffered a 11.16% decrease.

What is the median of a data-set?

It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.

In this problem, the ordered data-set, in thousands of £, is given by:

{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}

It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:

M = (42.5 + 45.1)/2 = £43800.

It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:

P = (49300 - 43800)/49300 x 100% = 11.16%.

More can be learned about the median concept at https://brainly.com/question/25215461

solve this to get brainiest ​

Answers

Answer:

1 a. commutative property of multiplication

b. distributive property of multiplication

2 x=23\12

-x = -23\12

-23\12+23\12=0

thus -(-x)+x

Answer:

See below ↓

Step-by-step explanation:

1.

a) commutative propertyb) commutative property

2.

Given : x = 23/12To verify = -(-x) = x⇒ -(-(23/12)) ⇒ -1 x -1 x 23/12⇒ 1 x 23/12⇒ 23/12⇒ Verified

What are the solutions to the equation 30/x=6

Answers

Answer:

the answer will be 5

Step-by-step explanation:

30/x=630=6×x 30/6 =x (where 6×5 =30 )so, x=5

There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.

Answers

Answer:

There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.

Step-by-step explanation:

A line passes through the point (3,-6) and has a slope of -4

Write an equation in point-slope form for this line

Answers

Answer:

step by step explanation

please see photo

The base of a triangle exceeds the height by 7 feet. If the area is 114 square feet, find the length of the base and the height of
the triangle

Answers

Answer:

Height of the triangle = 12 feet

Base of the triangle = 19 feet

Step-by-step explanation:

Let the height of the triangle be x feet

-> Base of the triangle = (x + 7) feet

[tex]A(\triangle)= 114\: ft^2[/tex]

[tex]\because A(\triangle)=\frac{1}{2}(base)(height) [/tex]

[tex]\implies 114=\frac{1}{2}(x+7)(x) [/tex]

[tex]\implies 114\times 2= x^2+7x[/tex]

[tex]\implies 228= x^2+7x[/tex]

[tex]\implies x^2+7x-228=0[/tex]

[tex]\implies x^2+19x-12x-228=0[/tex]

[tex]\implies x(x+19)-12(x+19)=0[/tex]

[tex]\implies (x+19)(x-12)=0[/tex]

[tex]\implies (x+19)=0,\:\:(x-12)=0[/tex]

[tex]\implies x =-19,\:\:x=12[/tex]

x represents the height of the triangle.

-> x can not take negative value.

[tex]\implies x\neq -19[/tex]

[tex]\implies x = 12[/tex]

[tex]\implies x +7= 12+7=19[/tex]

Thus,

Height of the triangle = 12 feet

Base of the triangle = 19 feet

will give brainliest but it Has to be correct.
Measure the thumbtack to the nearest inch.
6/8 inches
7/8 inches
3/8 inches
5/8 inches

Answers

Answer: 6/8 inch

Step-by-step explanation:

enter order pairs for
y = 2x + 7
y= 3x – 3

Answers

Answer:

(10, 27)

Step-by-step explanation:

We have to solve the given set of equations :

y = 2x + 7y = 3x - 3

As both equations are equal to y, equate the RHS of both of the equations.

2x + 7 = 3x - 3x = 10The x-coordinate is 10

y = 3(10) - 3 = 27The y-coordinate is 27

Writing an ordered pair

The standard form of an ordered pair is given by (x, y) where x and y  are x and y coordinates respectivelyTherefore, the answer is :⇒ (10, 27)

Answer:

[tex]\displaystyle [10, 27][/tex]

Step-by-step explanation:

Set each equation equivalent to each other:

[tex]\displaystyle 3x - 3 = 2x + 7 \\ \\ \frac{-10}{-1} = \frac{-x}{-1} \\ \\ \boxed{10 = x, 27 = y}[/tex]

I am joyous to assist you at any time.

What is 1 + 1 x 2 Whoever answers it gets brainiest

Answers

Answer:

It's equals 3

Step-by-step explanation:

1 + 1 x 2=3

Answer:

3

Step-by-step explanation:

PEMDAS --> Multiply and divide (left to right) (1 x 2 = 2)

Add and subtract (left to right) (1 + 2 = 3)

1. (07.01 LC)
What is the value of x in the equation -6 + x = -1? (5 points)
-5
-7
7
5

Answers

Answer: the value of x = 5

does anybody know how to do this please help meee

Answers

Answer:

A

Step-by-step explanation: I believe it's A because It's the opposite but I'm not 100% certain, because I don't remember inverse statements.

8. Triangle JKL is located at J(4,5) K17, 1) L(1,
1). A transformation occurred and now the
triangle is located at J(-4,5) K(-7,3)
L(-1, 1). What transformation occurred?

Answers

Answer:

a bit of a room for the television and then we you too I am really sorry for the television and then we you too I love you too I will be there in about you guys see you tomorrow at 7 in the middle to buy a house in the middle of the night guys see you tomorrow at 7 in the middle of the night

The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 27 more than the original number. Find the original number. Check your answer.
The original number is 83.
The original number is 47.
The original number is 74.
The original number is 38.

Answers

Answer:

The original number is 47.

Step-by-step explanation:

A and C when reversed make a number less than the original value.

D when reversed makes 83 which is 45 more than 38, the original number.

C, when reversed, gives 74 which is 24 more than 47, the original value.


Please mark as brainliest!

Side note:

All number's digits add up to 11.

the elevator can accommodate at most 1500 lbs.Carl is transporting boxes that weigh 15lbs each. If carl weighs 170 lbs.Write an equation that can be used to determine the most number of boxes Carl can transport using the elevator

Answers

Answer:

15x+170≤1500

Step-by-step explanation:

it is at most 1500, so less than or equal to 1500, and the 15 lbs relies on the number of boxes so 15x and carl weighs 170 so that must be added, equaling to

15x+170≤1500

If ((x) = x2+ 3x - 2, find f(-2).

Answers

f(x) = x² + 3x - 2

f(-2) = (-2)² + 3*(2) - 2 = 4 - 6 - 2 = - 4

Gloria's grandmother gave her a quilt made

up of pieces that have the following dimensions

area of the quilt piece.

bin

Thin

sin

Answers

Answer:

What?

Step-by-step explanation:

is this your whole question?

Use the slope formula to find the slope of the line through the points (2, 10) and (-3,-6).

Answers

Answer:

3.2

Step-by-step explanation:

Your input: find the slope given two points P=(2,10) and Q=(−3,−6).

The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by

m=y2−y1/x2−x1

We have that x1=2, y1=10, x2=−3, y2=−6.

Plug the given values into the formula for slope: m=(−6)−(10)/(−3)−(2)=−16/−5=16/5.

Answer: the slope of the line is m=16/5≈3.2.

Write an equation that best describes the pattern in the table
а
a
1
0 1
2
1
1
24-
58
2
2
b
0
3
4.
9
10 17

Answers

Answer:

not sure about the equation or answer

19 pints converted to gallons

Answers

Answer:

2.375

Step-by-step explanation:

Divide the volume value by 8

and you get the answer 2.375

Hope it helps

TC

have a great time

A basket contains 4 pears, 1 pineapple, 5 bananas, 3 oranges, and 2 limes.
vin randomly selects one piece of fruit from the basket. What is the
robability that he selects an orange from the basket?

Answers

Answer:

3/15

Step-by-step explanation:

there is 15 kinds of fruit totally

4 + 1 + 5 + 3 + 2 = 5 + 5 + 3 + 2 = 10 + 3 + 2 = 13 + 2 = 15

there are 3 oranges; therefore the bility that an orange will be picked is 3 out of 15

the ratio of the corresponding edge lengths of two similar solids is 4;9 what is the ratio of their volume ?

Answers

Answer:

Do the math

Step-by-step explanation:

If you do the math you get answer

Simplify the inequality-1 + 6(-1 -3x) > -39 - 2x.

Answers

Answer:

2 > x or x < 2

Step-by-step explanation:

-1 + 6(-1 - 3x) > -39 - 2x

-1 - 6 - 18x > -39 - 2x

-7 - 18x > -39 - 2x

32 > 16x

2 > x or x < 2

the reason that x < 2 is because of the negative sign. I solved it so that x stays positive but if you solve the equation with x on the other side like -16x > -32 then when you divide by -16 it changes to x < 2

PLEASE RATE!!! I hope this helps!!

(I have verified my answer on an online calculator)

Which of the following sets of numbers is a Pythagorean triple?

42, 40, 82
42, 40, 58
41, 41, 58
40, 41, 57
HELP QUICK PLEEZ

Answers

The awnser is would be 42,40,58

Answer:

42,40,58

Step-by-step explanation:

Which of the following is a right triangle?
70°
60
30*
249
459
128
90°
45°
/60°
60°
55
559
Triangle A
Triangle e
Triangle C
Triangle D
A. Triangle C
B. Triangle D
C. Triangle A
D. Triangle B
SUBMIT

Answers

Answer:

Triangle C

Step-by-step explanation:

Triangle C contains a 90° angle.

Answer:

Triangle C

Step-by-step explanation:

The right triangle has one side that is 90° the other two sides have to add up to 90° (45 + 45= 90)

What is the value of x in the equation 1/3x-2/3=-18
?
O -56
O -52
O 52
O 56

Answers

Answer:

x = -52

Step-by-step explanation:

Multiply both sides of the original equasion by 3 to get:

x - 2 = -54

Slide over the - 2 across the equal sign to get a +

x = -54 + 2

-54+2 = -52

Soo

x = -52

Urgent need please hurry

Answers

52 because because the triangle is 80 degrees

If abc is an equilateral triangle bc must be 2cm true or false?

Answers

Answer:

I would say False


B
45°
71°
E
27°
A
D
11. What is mBAC

Answers

Answer:THE ANSWER IS B MY GUY

Step-by-step explanation:

What is the value of x in the equation –2.4x = 8.4?

Answers

Answer:

x=  3.5

Step-by-step explanation:

2.4 x= 8.4

x= 8.4 /2.4

x=  3.5

Answer:

X= -3.5

Step-by-step explanation:

You are trying to find what x is, and x is being multiplied with -2.4. The easiest way to find the answer is to divide 8.4 by -2.4. This way, you will get your answer of -3.5. Because two negatives make a positive when you multiply, 8.4 is not negative.

How I solved this.

-2.4x = 8.4

8.4=total

-2.4= Needs to be multiplied with x

x=?

8.4/-2.4=-3.5

Check your work:

-2.4(-3.5)=8.4

Final answer:

x= -3.5

I hope this helps!

-No one

I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

K. 8

N. 12

A. 29

H. 5

I. -297

G. 89

T. 50

S. -7

W. 165

WHAT'S SHAKING

Answer:

K: 8

N: 12

A: 29

H: 5

I: -297

G: 89

T: 50

S: -7

W: 165

WHATS SHAKING [Answer]

Step-by-step explanation:

Please rate!!

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