A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
:)

Answers

Answer 1

Answer:

113.97 degrees

Step-by-step explanation:

use the cosine rule for finding an angle

cosA = b^2 + c^2 - a^2

                 2bc

Answer 2

In the given triangle angle A is greatest than any other angle.

What is the triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given sides of triangle, a=2cm,b=8cm,c=9cm

cosine law

Cos A =  [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144

Cos B =  [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36

Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex]  =  -13/52

A = Cos⁻¹ (141 /144 )

B = Cos⁻¹ (21/ 36 )

C = Cos⁻¹ (-13/52 )

Thus Angle A < Angle B < Angle C.

Therefore, Angle A is the greatest in the triangle.

Learn more about triangles here:

https://brainly.com/question/14712269

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Related Questions

I WILL GIVE BRAINLY

Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)


PLSSSSS SHOW YOUR WORK PLSSS

Answers

Answer:

D

Step-by-step explanation:

We will let d represent the amount of dimes Angela has.

Angel has 5 fewer quarters than twice the number of dimes.

Twice the number of dimes will be 2d.

Then, 5 fewer will yield 2d-5.

Therefore, the amount of quarters Angela has is 2d-5.

Then, the total amount of coins (dimes and quarters) together, will be:

[tex]d+(2d-5)[/tex]

The first part is the amount of dimes.

And the second part is, as we determined, the amount of quarters.

Therefore, our answer is D.

Section 1
Evelyn reads 25 pages in 30 minutes.
Number of Pages
25
400
Time (in minutes)
30
?
If Evelyn reads 400 pages at this same rate, how many minutes will it take her?
O 90 minutes
O 120 minutes
O 375 minutes
0 480 minutes

Answers

it would be 480 minutes

A wedding costs $2,460 for 20 guests. How much did the wedding cost per person?

Answers

Answer:

123 PER PERSON

Step-by-step explanation:

All you have to do is divide 2,460 by 20 to get 123

Answer:

$123.00 per person

Explanation :

Division (divide) -

2,460 ➗ 20 = 123

Too make sure it’s correct use multiplication
(multiply) -

123 x 20 = 2,460

The wedding cost per person is $123.00

PLEASE HELP URGENT WILL MARK BRAINLIEST

Answers

Answer:b) intersecting

What expression is equivalent to (2a - 7) + 5(3 - a)

Answers

Answer:

Step-by-step explanation:

2a-7+15-5a

2a-5a-7+15

-3a+8

The expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an expression as;

(2a - 7) + 5(3 - a)

Therefore, solving it further;

2a-7+15-5a

Combine the like terms;

2a-5a-7+15

Then we get;

-3a+8

Hence, the expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

To know more about an expression follow;

brainly.com/question/19876186

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12х - 5 >3х^2 +5
I am confused how to solve this.

Answers

Answer (3 different forms):

1st Form:

[tex]2+-\frac{1}{3} \sqrt{6} <x<2+\frac{1}{3} \sqrt{6}[/tex]

2nd Form:

[tex]-\sqrt\frac{2}{3}+2<x<\sqrt\frac{2}{3}+2[/tex]

3rd Form:

[tex]\frac{6-\sqrt{6}}{3}<x< \frac{6+\sqrt{6}}{3}[/tex]

Or

[tex](\frac{6-\sqrt{6}}{3}),(\frac{6+\sqrt{6}}{3})[/tex]

Step-by-step explanation:

You can see that I put three different forms of answers, but they are all still equivalent answers. The reason why I got three different answers is because I put the inequality in three different calculators and they all got me different answers, but all three are still equivalent. The following three attachments are images of the three calculators that I used to solve.

Hope this helps and answers your question! :)

PLEASE ANSWER PLEASESEE

Answers

11 but i’m not sure haha

Answer:

I’m pretty sure the answer to this would be 11- but it could also be eight so check that but I’m pretttyyyy sure it’s 11. I hope that helps you

Step-by-step explanation:

PLEASE HELP!! Select all that apply, brainiest for right answer! right answers only please

Answers

Answer:

D

Step-by-step explanation:

Based on the scatter plot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80?

A. 42
B. 81
C. 158
D. 398

Help me quickly please!!!

Answers

Answer:

c hope this help

Step-by-step explanation:

Answer:

It’s A. 42

Step-by-step explanation:

Identify the scale factor used to graph the
image below.

Answers

scale factor= 1/2 :)

x2 – 11x + 5 = -2x
Solve equation to the nearest tenth

Answers

Answer:

x = 5/7 -> 0.714285 which to the nearest tenth would be 0.7

Step-by-step explanation:

is it x*2 or x^2?

If it were x to the power of two, then the answer would be about x1 = 0.594875 and x2 = 8.40512

Can somebody plz answer this math problem correctly thanks!

WILL MARK BRAINLIEST :D

Answers

Answer:

Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake

Stephen scored a .84 or an 84%

I hope this helps :)

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

Stephen: 21

Ellen: 20

Blake: 20

Step-by-step explanation:

If youre looking for more in depth answers:

Stephen received a 21 / 25 (84%)

Ellen received a 20 / 25 (80%)

Black received a 20 / 25 (80%)

what is a relation?????????????????

Answers

Answer:

c.

Step-by-step explanation:

what is 3/4 divided by 1/2​

Answers

3/4 divided by 1/2 is 1.5 or 6/4.

find the value for x!

Answers

Answer:

x=20

Step-by-step explanation:

3x+15=4x-5

20=x

write at equation for the line that is perpendicular to the given line and that contains the given point

y=-1/3x + 5 ; (2,5)

Answers

Answer:

y=3x-1

Step-by-step explanation:

Convert -1/3 to 3, since its perpendicular. then plug (2,5) for y=3x+b. The answer should be y=3x-1

what does x equal and what are the angle measures?? help Asap

Answers

all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2

simplify each expression using the distributive property

9(-7q-6)​

Answers

Answer:

-63q-54

Step-by-step explanation:

When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.

9(-7q-6)

-63q-54

Hope this helps, and have a great day o(* ̄▽ ̄*)ブ

Find the
measure of X given two triangles:

Answers

Answer:

The measure of angle x is 68°

Step-by-step explanation:

The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures

In the given figure

∵ An isosceles Δ has a vertex angle of measure 68°

∴ The other two angles are equal in measure ⇒ base angles

→ The sum of the measures of the interior angles of a triangle is 180°

The sum of the measures of the base angles = 180° - 68°

∴ The sum of the measures of the base angles = 112°

→ Divide their sum by 2 to find the measure of each angle

∵ The measure of each base angle = 112° ÷ 2

The measure of each base angle = 56°

∵ There are two intersected segments

∴ There is a pair of vertically opposite angles

∵ The other isosceles Δ has a vertex angle of measure x

A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically

   opposite angles

∴ They are equal in measure

∴ The measure of the base angle of the 2nd Δ = 56°

∴ The two base angles are equal in measure

The measure of each base angle is 56°

→ The sum of the measures of the interior angles of a triangle is 180°

56° + 56° + x = 180°

∴ 112° + x = 180°

→ Subtract 112 from both sides

x = 68

The measure of angle x is 68°

Find the sum

14.3 + 7.36 = ?

Answers

Answer:

21.66

Step-by-step explanation:


y varies inversely with x. If x = 5 and y= 1 what is x if y = 0.5
Type your answer..

Answers

X=2.5

Step-by-step explanation:

0.5=1/2

5/2 = 2.5

Help Please!Solve For Z.

Answers

Answer:

Step-by-step explanation:

z = whole root (x^2 + 9)

pls help thx and merry christmas and or happy Hanukkah

Answers

Answer:

3 3/4 yards of ribbon my dudeeee

Answer:

oof

Step-by-step explanation:

You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____

Answers

Answer:

Step-by-step explanation:

7.49+6.21= 13.70

What is 200% of 190?

Answers

380......................

Help me with this question! Will mark brainliest

Answers

Answer:

D)  y = 7x + 1

Step-by-step explanation:

Slope-incercept form is y = mx + b in which m = slope and b = y-incercept

The line crosses through (0,1), which means the y-intercept is 1

Plug the given numbers into that formula:

y = 7x + 1

D is the answer to this question

help I suck at math lol

Answers

For 14/8, you first have to simply it by dividing both numbers by 2


So that it becomes 7/4, which is 1 3/4






For 48/9, divide both numbers by 3


So that it becomes 16/3 which is 5 1/3

Answer:

14/8 = 1 3/4

48/9 = 5 1/3

Step-by-step explanation:

14/8 = 1 6/8

6/8 = 3/4

14/8 = 1 3/4

48/9 = 5 3/9

3/9 = 1/3

48/9 = 5 1/3

On the weather map, what does the symbol shown below represent?

A curved line with half circles is shown

Flurries
Showers
T-Storms
Warm Front

Answers

A curved line with half circles is shown to be a warm front

Answer: Warm font or showers

Step-by-step explanation: Hope it helped! If you can, Can I please have brainliest? I need a few more

the one of the following is NOT a measure of central tendency?____
a) mean. B) median. c) range. d) mode ​

Answers

Answer:

D). Mode

Step-by-step explanation:

I hope this helps!! Have a good day!

Answer:

they all are.

Step-by-step explanation:

They all are a measure of central tendency Standard deviation is not. Hope this helps :D

I NEED HELP ASAP

Enter your answer by filling in the boxes to complete the equations that describe the calculation.

80 ÷ 5 = __ ÷ 5 + __ ÷ 5

= __ + 6

= __

Answers

Answer:

80 / 5 = 40 / 5 + 40 / 5 = 10 + 6 = 16

Step-by-step explanation:

80 / 5 = 16

__ / 5 + __ / 5

You can do 80 / 2 to fill in those two blanks because the answer needs to equal the same as 80 / 5

80 / 2 = 40

40 / 5 + 40 / 5

8 + 8 = 16

the third blank needs to also equal 16. So you can do 16 - 6 to know what fills in the blank.

16-6

10

10+6 = 16

The last blank must equal the same as all the other equations so 16 would fill it.

If you need further help, don't be afraid to reach out with any questions. I hope this helps!

Answer:

80/5= 50/5 + 30/5= 10 + 6= 16

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