You are given a triangle that has sides 5 7 ad 10 how large is the smallest angle of the triangle

Answers

Answer 1

Answer:

Step-by-step explanation:

Comment

This uses the cosine Law for line length.

Formula

a^2 = b^2 + c^2 - 2*b*c*sin(A)

Givens

a  = 5

b = 7

c = 10

Solution

5^2 = 7^2 + 10^2 - 2*7*10*cos(A)

25 = 49 + 100 - 140*cos(A)                  Combine the right side

25 = 149 - 140 * cos(A)                         Subtract 149 from both sides

25 - 149 = - 140*cos(A)                    

-124 = -140 * cos(A)                               Divide both sides by -140

-124/-140 = cos(A)

Cos(A) = 0.8857                                   Take the inverse Cos of both sides

A = cos-1(0.8857)

Answer

A = 27.66 degrees


Related Questions

What is the result of x + 2x - 6 = 21?

Answers

Answer:

9

Step-by-step explanation:

x + 2x - 6 = 21

3x - 6 = 21 /+6

3x = 27 /:3

x = 9

Answer:

x = 9

Step-by-step explanation:

Hope that helps!

Richard and stephen win some money and share in the ratio 2:1 Richard gets £12

Answers

Stephen will get 6 pounds

if f(x)=1/2x-12 find f(-12)

Answers

Answer:

f(-12)=-18

Step-by-step explanation:

since we are replacing the x for -12 that means we will have the equation f(-12)=1/2(-12)-12 which would give us f(-12)=-6-12 which would equal -18 so the answer for f(-12) is -18

2x - 3 + 3x = -23
solve for x. I woild like a step by step so i can learn how to do it​

Answers

Answer:

x= -4

Step-by-step explanation:

Step 1: Simplify

2x-3+3x=-23 turns into

5x-3=-21 -- combined like terms

Step 2: Start Solving

5x-3 = -23

+3         +3    -- Getting x alone by adding 3 to cancel it out

5x = -20

/5       /5    -- getting x alone by dividing by 5 to again cancel it out

Step 3: The answer

x = -4

Answere:

x=-4

Step-by-step explanation:

well, if you have the equation 2x-3+3x=-23, The first thing you wanna do is add up the X's so 2x+3x=5x, and then you put the 5x in the equation instead of 2x+3x:

-3+5x=-23

Then you since you have a -3, you should add 3 on BOTH sides of the equal sighn. And when you add 3 and -23 you get -20, so the new equation is:

5x=-20, from there you can tell X=-4

Tell me if you have any questions, and im sorry if the explaination is not thta good, I explain stuff better when i am face to face with someone, Have a good day!

i need help for this still

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The ratio of girls to students is choice c, 34:72 because it said girls to students. We already know the total number of students and the number of boys, all we have to do now is subtract the total number of students to the number of boys to get the number of girls, 72 - 38 = 34......and that's it we put the number of girls then the number of students.

Drew Swanson is an insurance appraiser who earns $48,650 a
year. He is married with no dependents. He pays $1,786 in state incom
taxes. What is the state income tax rate?

Answers

Answer:

3.671%

Step-by-step explanation:

[tex]\frac{1786}{48650}[/tex] x 100 =3.671

15. A rectangle has a perimeter of 120 inches and a length of 37 inches. What is the width of the rectangle?​

Answers

the width of the rectangle should be 23 inches

Which inequality is equivalent to −y<7?


A). Y < 7

B). Y > 7

C). Y > -7

D). Y < -7

Answers

Answer:

C) Y > -7

-Y < 7        given

0 < 7 + Y       add Y to both sides

-7 < Y            subtract 7 from both sides

Two fifth of a certain number is 30 what is the number?

Answers

75

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

Beginning with an "If-then" statement ⇣

If 2/5 = 30 then 1/5 = 15

Now we have 1/5, let's make it 1 by multiplying x5.

15 x 5 = 75

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

Good luck! :)

~pinetree

The measure of the angles of a triangle are shown in the figure below . Solve for x

Answers

Answer:

x = 49°

Step-by-step explanation:

Hello! The sum of all angles in a triangle is 180°

64 + 67 = 131

180 - 131 will give you x

180 - 131 = 49° = x

If you need further explanation, let me know!

- profparis

0.83 repeating as a fraction. PLZ help me

Answers

Answer:

5/6

Step-by-step explanation:

Answer:

83/100

Step-by-step explanation:

0.83 = 83/100

Since 0.83 is a fraction of 100 (1.0) then it makes sense to turn 0.83 into 83/100.

What is the sum of all the positive integers from

24
to

102
?

Answers

Answer:

The sum of all positive integers is

5 + 6 + 7 + 8 + 9 + 10

              = 45

Step-by-step explanation:

Because [tex]\sqrt{24} = 4.89[/tex] and [tex]\sqrt{102} = 10.09[/tex]

So positive numbers between 4.9 and 10.09 are

 5+6+7+8+9+10 = 45

Brainliest will be appreciated.

1) Jessica won 55 pieces of gum playing the
bean bag toss at the county fair. At school
she gave two to every student in her math
class. She only has 3 remaining. How
many students are in her class?

Answers

Answer:

26 students

Step-by-step explanation:

55 pieces given - 3 she keeps for herself=52

52÷2pieces each = 26

First, I subtracted. 55 - 3 to get 52, as she should have three pieces of gum left over. Then, I divided 52 by 2, to get 26 students. To double check, I divided 52 by 26, which equals 2 pieces of gum per classmate.
So I believe the answer is: There are 26 students in Jessica’s math class.

What are the x- intercept and the y-intercept of the graph of 6x + 15y = -30?

Answers

Answer:

x int: -5

y int: -2

Step-by-step explanation:

Plug in 0 for x to find y intercept. 6(0) + 15y = -30 then you would get 15y = -30. Divide by 15 on both sides. y = -2

Plug in 0 for y to find x intercept 6x + 15(0) = -30 then you would get 6x = -30. Divide 6 on both sides. x = -5

find the next three terms in the arithmetic sequence: -3, -8, -13, -18

Answers

Answer:

-23

Step-by-step explanation:

Common difference = 2nd term - 1 st term

                                = -8 - (-3)

                                = -8 + 3

                               = -5

To get the next term add (-5) to the previous term

5th term = (-18) + ( (-5) = -23

A definition for insensitive

Answers

From the word itself thrives of being not sensitive

Which actually means heartless

Full definition: showing no concern for others

hope I helped :3

how do you explain division in an easy way? ​

Answers

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing. The division is an operation inverse of multiplication.

Write a cosine function that has an amplitude of 5, a midline of 4 and a period of 1.

Answers

Answer:

[tex]\displaystyle y = 5cos\:2\pi{x} + 4[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 5sin\:(2\pi{x} + \frac{\pi}{2}) + 4} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 4 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{1}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 4 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

From the above information, you now should have an ideya of how to interpret trigonometric equations like these.

I am delighted to assist you at any time.

I NEED HELP ASAP PLEASE!!!!!

1+1 I DUNNO HOW I AM LEARING I WILL GIVE BRAINISET

Answers

Answer:

2

Step-by-step explanation:

if you add 1 + 1 the solution would be 2.

Answer:

The answer is 2.

Step-by-step explanation:

1+1

1+1=2

If you add 1 and 1, it'll give you 2.

In parallelogram EFGH, what is the relationship between angle e and angle f?

e° = f°
e° + f° = 180°
e° = -f°
e° - f° = 180°

Answers

Answer:

=> e° + f° = 180°

Step-by-step explanation:

we know. that this is a parallelogram .

e° + f° = 180° { because they are adjacent angle and the sum of adjacent angles in a parallelogram is 180°}

Answer:the answer is e° + f° = 180°

Step-by-step explanation:

I got it right

the cost price of a box and a pen is rupees 80 the box is sold at 10% profit and the pen is sold at 10% loss if the selling price of the box is rupees 28 more than that of the pen calculate the profit or loss percent in the whole​

Answers

Answer:

2.5%

Step-by-step explanation:

[tex]if\ the\ art-rice\ of\ pen\ is\ x\\ so\ the\ toux\ is\ 8v-x\\ then\ (80-x)\bullet1\bullet1-a9\bulletx=28\\ so\ x=30.\\ So\ the\ selling\ price\ of\ box\ is\ RS.5\\ the\ selling\ price\ of\ pen\ is\ R527\\ R55+R_27=R8.2\\ so\ profit\ percent=\frac{R882-R830}{280-}\times100\ percent=2.5\ percent\\ (figure\ out\ their\ individual\ oosts)[/tex]

I hope this helps you

:)

y= -x + 1 and y= 2/3x - 4 What is the solution to the system of equations?

Answers

Answer:

x=3 /

steps: (For x)

Turn the equation into --> -x+1 = 2/3x-4

Next is the multiply the equation by 3 to make isolating x easier so it becomes --> -3x+3=2x-12

Now arrange the terms to where variables are on a side and constants are on a side

it should look like --> -3×-2x=-12-3

Now combine like terms --> -5x=-15

finally just divide by -5 on both sides

x=3

For y:

substitute X for either of the equations

y=2/3 x 3-4

y=-2

The solution is (3,-2)

what is it in simplist form 4/15+1/9

Answers

4/15 + 1/9 = 12/45 + 5/45 = 17/45

NEED HELP! will give brainiest!!

Answers

Answer: 62999

Step-by-step explanation: sorry if wrong

A car salesman earned $22 an hour and a commission of 3.3% on sales. Find his total earnings in a week when he worked 38 hours and had 65,800 in sales

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

(x - 3y)(2x + 7y)

What is the answer?

Answers

Answer:

Your answer is: 2x^2+xy-21y^2

Step-by-step explanation:

Hope this helped : )

work through these two problems 1)7-?=3.4567 and 2)6.9999-?=3.4567
how can problem 2 help you solve problems1?

Answers

Answer:

Give students up to 1 minute to think about the first question and then ask them to ... The first two problems aim to help students

Step-by-step explanation:

I am stuck please help​

Answers

Answer:

[tex]x = \frac{z}{y} [/tex]

Step-by-step explanation:

according to the equation in the statement the answer is

=> x = z/y

e
goes bowling.
He has $25.00 to spend.
• He spends $4.25 to rent shoes.
He spends $2.50 for each game he bowls.
Which inequality can Manny use to determine x, the greatest number of games
he can bowl?
А
2.5 + 4.25x > 25
В
4.25 +2.5x > 25
С
2.5 + 4.25x < 25
D
4.25 +2.5x < 25

Answers

Answer:

4.25 + 2.50x < 25

Step-by-step explanation:

Note:

< →  Less than

> → Greater than

Manny can't spend more than $25 and you pay an initial fee of 4.25 for the shoes and 2.50 for each game so the inequality would be

[D] $4.25 + 2.50x < 25.

~Lenvy~

What is the answer to this.

100+100+20+1 in stranded form.

Answers

Answer: 221 in standard form hope this helps

Step-by-step explanation:

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