The lengths of the sides of a triangle are ​9, 12​, and 14. Classify the triangle as​ acute, right, or obtuse.

Answers

Answer 1

Answer:

Step-by-step explanation: sleep

Answer 2

The triangle with sides 9 , 12 and 14 is an acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the Triangle be ΔABC

Let the three sides of the Triangle be

First side = AB

Second side = BC

Third side = CA

Now , the three sides are having lengths as

AB = 9

BC = 12

CA = 14

Now , from the Pythagoras Theorem ,

If ,  base² + height² = hypotenuse² , it is a right angled triangle

If , base² + height² > hypotenuse² , it is a acute angled triangle

If , base² + height² < hypotenuse² , it is a obtuse angled triangle

So , substituting the values , we get

AB² + BC² > AC²

So ,

9² + 12² > 14²

81 + 144 > 196

225 > 196

Therefore , the triangle ABC is an acute angled triangle

Hence , The triangle with sides 9 , 12 and 14 is an acute triangle

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Related Questions

Please help with this geometry question

Answers

Answer:

I think it's 8ft. Hope it helps.

Help please! 50 Points! PLEASE DONT RESPOND IF YOU DO NOT KNOW.
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!

Answers

Answer:

e.869.58units^2

f. 96m^2

g. 184m^2

Step-by-step explanation:

e.

484 square

176 triangle

209.58 equilateral triangle

f. 196 total are - mini square 25+25+25+25= 96m^2

g. 22+66+80+16=184m^2

Find the area of a right triangle with a height of 8 1/2 feet and a base of 15 feet

Answers

Answer:

63.75

Step-by-step explanation:

The equation for finding the area of a triangle is 1/2b x h

b = base

h = height

b = 15

h = 8.5

15(1/2) x 8.5

7.5 x 8.5 = 63.75

Answer:

A = 63.75 ft^2, or 63 3/4 ft^2

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

With h = 8.5 ft and b = 15 ft, the area of the triangle in question is

A = (1/2)(8.5)(15)ft^2, or

A = 63.75 ft^2, or 63 3/4 ft^2

Hurry I need it pleaseeee come helpp

Answers

Answer:

43

Step-by-step explanation:

180-123=57

180-(57+80)=43

Answer:

x=43

Step-by-step explanation:

the other two angles measure 80 (vertical angles are equal) and 57, (straight lines make 180 degree angles)

so x = 43 because 180-(80+57)=43 (180 degrees in a triangle)

Use the order of operations to simplify the following expression.

9 + - 4 × 2

Answers

Answer:

= 1

Step-by-step explanation:

9+(−4)(2)

=1

help :( plz plz plz plz plz plz

Answers

16/81. I hope this helps

what is the volume of a cylinder when the radius is 3 and height is 7

Answers

Answer:

63pi

Step-by-step explanation:

the formula for the volume of a cylinder is pi r^2 h

r=radius

h=height

3=r

7=h

pi((3)^2)7

63pi units^3

Hope that helps :)

Answer:

197.92

Step-by-step explanation:

To find the volume of a cylinder use V=πr2h.

Then fill in the equation with known information

V=π(3²)(7)

V= 197.92

If there are any units your answer will need them.

which value of x is a solution of 8> (x-6)-2

Answers

Answer:

The answer is x < 16.

Step-by-step explanation:

1) Remove parentheses.

[tex]8 > x - 6 - 2[/tex]

2) Simplify x - 6 - 2 to x - 8.

[tex]8 > x - 8[/tex]

3) Add 8 to both sides.

[tex]8 + 8 > x[/tex]

4) Simplify 8 + 8 to 16.

[tex]16 > x[/tex]

4) Switch sides.

[tex]x < 16[/tex]

Therefor, the answer is x > 16.

The answer is x is equal to 16

Thomas deposited $800 into two different accounts.

- He deposited $450 into an account that pays 4.5% simple interest.

- He deposited $350 into an account that pays 4.25% compounded annually.

If Thomas does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the total balance he will have in the accounts at the end of 2 years?

Group of answer choices

A. $820.38

B. $1,220.88

C. $871.79

D. $870.88

Answers

i’d go with D, you do 350 and multiply it by 0.0425 and do the same with 450 and multiply by 0.0425 and you multiply each of those answers and then add them to 800

The total balance he will have in the accounts at the end of 2 years

is D. $870.88.

What are simple and compound interests?

Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

The formula for simple interest is SI = (p×r×t)/100 and the formula for compound interest is A = P(1 + r/100)ⁿ.

P + (p×r×t)/100 + P(1 + r/100)ⁿ is the total amount after 2 years.

= 450 + (450×4.5×2)/100 + 350(1 + 4.25/100)².

= 450 + 40.5 + 350(1.0425)².

= 490.5 + 380.38.

= $870.88.

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A student earns an 80% on their science test. If she got 20 questions correct, how many total were on the test?

Answers

25 questions
Explanation: 20 divided by 25 is .8 which is 80%

I need Help!! Please Help me!! I will give Brainliest!!!
Try it! Find the percent of change. Round to the nearest percent if necessary.
1) 10 inches to 25 inches. 2) 57 people to 65 people.

Answers

Answer:

1.  150%                     2.  14%

Step-by-step explanation:

Felicity’s dog eats no more than two cups of dog food per day. Felicity’s dog eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If the amount of food that Martin’s dog eats is represented by using m, which inequality represents the situation?
2 greater-than-or-equal-to one-half m + one-fourth
2 less-than-or-equal-to one-half m + one-fourth
2 + one-fourth greater-than one-half m
2 minus one-fourth greater-than one-half m

Answers

Answer:

It’s A

Step-by-step explanation:

Did the quiz

In ΔABC, the measure of ∠C=90°, the measure of ∠A=41°, and BC = 33 feet. Find the length of AB to the nearest tenth of a foot.

Answers

Answer: 50.30

Step-by-step explanation:

sin   =   33

1              x

x(sin)    =     33

sin 41          sin 41

x=50.30

At the youth center, the committee has decided to create a circular shaped flower bed. They plan to cover the flower bed with mulch. A flower bed with a 12' diameter will cost $150 to cover with mulch. A flower bed with an 18' diameter will cost $300 to cover. Which is the better value?

Answers

Answer:

12 in diameter bed will  give better value

Step-by-step explanation:

Given:

Cost of cover 12 in diameter bed = $150

Cost of cover 18 in diameter bed = $300

Find:

Better value

Computation:

Area of bed = πr²

Area of 12 diameter of bed = (22/7)(6)²

Area of 12 diameter of bed = 113.14 in²

Area of 18 diameter of bed = (22/7)(9)²

Area of 18 diameter of bed = 113.14 in²

Area of 18 diameter of bed = 254.57 in²

Compare cost of bed 1 = 113.14 / 150 = 0.75 in per dollar

Compare cost of bed 2 = 254.57 / 300 = 0.84 in per dollar

So,

12 in diameter bed will  give better value

Help me with this!!!! ( fake answers will be reported :)) )

Answers

Answer:

16

Step-by-step explanation:

3x-2x=8

x=8

QR=8*2=16

determine slope and y-intercept
Use the following table to answer questions #19 and #20.

Answers

Answer:

Slope. -6

Y- intercept. 180

What is the length of LM in units

Answers

Answer:

7

Step-by-step explanation:

L and M have the same x coordinate

4 - (-3) = 7

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Answers

Answer:

34.12

Step-by-step explanation:

Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)

On a bicycle you can travel 20 miles in 4 hours. What is the unit rate in this situation? * 100 miles per hour 80 miles per hour 5 miles per hour O 24 miles per hour​

Answers

The unit rate is, 5 miles per hour

Answer:

Unit rate: 5 miles per hour

Step-by-step explanation:

Unit rate:  20 m / 4h  =  5m per hour

Solve for x. Assume that lines which appear to be diameters are actual diameters.​

Answers

Answer:

x = 7

Step-by-step explanation:

[tex](4x + 2) \degree = 360 \degree - (85 + 40 + 75 + 130) \degree \\ \\ (4x + 2) \degree = 360 \degree - 330 \degree \\ \\ (4x + 2) \degree = 30 \degree \\ \\ 4x + 2 = 30 \\ \\ 4x = 30 - 2 \\ \\ 4x = 28 \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]

Whats y=18x pls helppp

Answers

Linear Equations & Functions -

Basically, this equation is meant for functions and graphing functions.

[tex]y = 18 \times \: x[/tex]

x,y

2,36

5,90

You could also use this to find the slope:

y1-y2

--------

x1-x2

:

-54

-----

-3

=18

You could also graph it.

What is the measure of ZC? *

Answers

the answer is d) 70°
hope this helps!

Answer:

∠ C = 70°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles to obtain ∠ C , that is

∠ C = 180° - (70 + 40)° = 180° - 110° = 70°

Help please I give you a cookie

Answers

K and j are adjacent

Triangle LMN has a perimeter of 9cm. If triangle LMN is dilated by a scale factor of 3 about a given point, what is the perimeter of triangle L'M'N

Answers

9514 1404 393

Answer:

  27 cm

Step-by-step explanation:

Dilation multiplies all linear measures by the same dilation factor. The perimeter will be 3 times that of triangle LMN.

Perimeter of L'M'N' = 3(9 cm) = 27 cm.

Answer:

27cm

Step-by-step explanation:

A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?

Answers

Answer:

3,840

Step-by-step explanation:

Answer:

The volume is 3840

Step-by-step explanation:

12 times 16 times 20. L x W x H

Can somebody actually help im so lost rn​

Answers

Answer:

M-> R, O -> U, and P -> G

Step-by-step explanation:

Since the triangles are congruent (equal), do you see how it is a mirror image so M is mapped to R, O to U, and P to G, since those are the corresponding points

solve -3-(-5)+(-2)

Answers

Answer is 0

Hope this helps

Answer:

[tex]0 \: is \: the \: answer[/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex] - 3 + 5 - 2[/tex]

2) Simplify -3 + 5 to 2.

[tex]2 - 2[/tex]

3) Simplify.

[tex]0[/tex]

Therefor the answer is 0.

f(x)= 3x^2

g(x) =7x+4

f(g(4))=____

Answers

G(4)=7(4)+4
G(4)=28+4
G=32
F(32)= 3(32)^2
F= 9216
f(g(4))= 9216

Consider the sequence of numbers: , , 1StartFraction 3 Over 8 EndFraction, StartFraction 3 Over 4 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 7 Over 8 EndFraction. . ., 1 , 1, . . . Which statement is a description of the sequence? The sequence is recursive, where each term is StartFraction 1 Over 4 EndFraction greater than its preceding term. The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction.. The sequence is arithmetic, where each pair of terms has a constant difference of StartFraction 3 Over 4 EndFraction. The sequence is arithmetic and can be represented by the function f(n + 1) = f(n)f of n plus 1 equals f of n plus left parenthesis StartFraction 3 Over 8 EndFraction right-parenthesis..

Answers

Answer:

The answer is "The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus 3 Over 8 .." or B

Step-by-step explanation:

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

Convert the mixed fraction number into a fraction number. Then we have

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

3/8, 3/4, 9/8, 3/2, 15/8, ........

The first term of the arithmetic sequence is 3/8. And the common difference of the arithmetic sequence will be given as,

d = 3/4 - 3/8

d = 6/8 - 3/8

d = (6 - 3)/8

d = 3 / 8

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

More about the arithmetic sequence link is given below.

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Maritza worked at an ice cream parlor selling milkshakes and ice cream cones. Altogether, she sold 149 milkshakes and ice cream cones. The milkshakes sold for $4 and the ice cream cones for $3. The total amount collected was $533. How many milkshakes and ice cream were sold?

Answers

Answer:

86 milkshakes and 63 ice cream were sold

Step-by-step explanation:

Let the amount of milkshake sold be x

Let the amount of ice cream sold be y

If  she sold 149 milkshakes and ice cream cones then;

x+y = 149 ... 1

If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;

4x + 3y = 533 ....2

Solve both equations simultaneously

x+y = 149 ... 1  * 4

4x + 3y = 533 ....2 * 1

________________________

4x+4y = 596

4x+3y = 533

Subtract

4y-3y = 596-533

y = 63

since x +y = 149

x+63 = 149

x = 149 - 63

x = 86

Hence 86 milkshakes and 63 ice cream were sold

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