Use the Law of Cosines to solve for the side BC. Round your answer to the point
nearest whole number. Write the value only *

Use The Law Of Cosines To Solve For The Side BC. Round Your Answer To The Pointnearest Whole Number.

Answers

Answer 1

Answer:

BC = 50

Step-by-step explanation:

Law of Cosines:

c^2 = a^2 + b^2 - 2ab*cosy (c is BC)

c^2 = 30^2 + 21^2 - 2(30)(21)cos123

c^2 = 900 + 441 - 1260*(-0.888)

c^2 = 1341 - (-1118.841)

c^2 = 2459.841

c = 49.597

c = 50


Related Questions

PLLLS helpppp mee this is due now T-T

Answers

Answer:

Step-by-step explanation:

Answer:

= 2 and 5

Step-by-step explanation:

( 4 - 7x ) + ( 2x - 2 ) = 0

4 - 7x = 2x - 2 = 0

-7x -2x - 2 + 4 = 0

  -5x   - 2   = 0

-5 x = 0                  or             -2 = 0

x = 5                                       x = 2

Help pls this is timed!!!!!!! Pls and thank you ;P
Who supported the formation of Washington Territory out of a belief that it was America’s destiny to settle the Pacific Northwest?

A.)President Millard Fillmore
B.)Governor Isaac Stevens
C.)Oregon Territory’s northern settlers
D.)Oregon Territory’s southern settlers

Answers

Answer:

A. President Millard Fillmore

The answer is letter A !

ratio of width to length is 2:3 if the length 18 meters what is the width

Answers

Answer:

12

Step-by-step explanation: 18/3=6 6(2)= 12

find the common difference of the arithmetic sequence -2,-4,-6

Answers

Answer:

-2

Step-by-step explanation:

-4-(-2) = -2

-6-(-4) = -2

PLS HELP
PLSSSSSSSSSSS

Answers

Answer:

y=-15

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Your teacher is giving you a test that has 30 questions and is worth 200 points. Some questions are worth 5 points and some are worth 10 points. How many of each question are on the test?

Answers

Answer:

20 5-point questions and 10 10-point questions

Step-by-step explanation:

Explain how to isolate the variable in the equation−2/3+7=15. solve for n

Answers

Answer:

  n = - 0.0833

Step-by-step explanation:

Given  expression

             [tex]\frac{-2}{3n } +7 = 15[/tex]

Cross multiplication , we get

           [tex]\frac{-2}{3n } = 15 -7[/tex]

          [tex]-2 = 8 X 3 n[/tex]

  ⇒   [tex]\frac{-2}{24} = n[/tex]

     n = - 0.0833

5x−4y=34
−x+8y=22
elimination

Answers

Answer:

The solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]

Multiply -x+8y=22 by 5:  -5x+40y=110

[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]

so adding the equations

[tex]-5x+40y=110[/tex]

[tex]+[/tex]

[tex]\underline{5x-4y=34}[/tex]

[tex]36y=144[/tex]

solve 36y = 144 for y:

[tex]36y=144[/tex]

divide both sides by 36

[tex]\frac{36y}{36}=\frac{144}{36}[/tex]

Simplify

[tex]y=4[/tex]

For 5x-4y=34 plug in y=4

[tex]5x-4\cdot \:4=34[/tex]

[tex]5x-16=34[/tex]

Add 16 to both sides

[tex]5x-16+16=34+16[/tex]

Simplify

[tex]5x=50[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{50}{5}[/tex]

Simplify

[tex]x=10[/tex]

Therefore, the solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

What is the solution to the equation? 13 3/4+X= 7 1/ 4​

Answers

Answer: x=-6 1/4

Step-by-step explanation:

If x : 3 = 5 : 7 , then x = ………

Answers

Answer:

the answer is A which 2(1/7)

Unit 8 homework 2 special right triangles

Answers

what grade you in ? Because we can help eachother !!

Plz help me I will give you brainliest and 10 points

Answers

Answer:

0.08522

Step-by-step explanation:

4 to 7 equals 21 to what ​

Answers

can you show the whole question

Answer:

Step-by-step explanation:

I dunno wether addition or multiplication, if it's multiplication, it would be 36.75 if it's addition, then it's 24

Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form

Answers

Answer:

y = 3x -2

Step-by-step explanation:

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

For the equation given;

y = 3x -5

the slope from here is 3

If two lines are parallel, they have equal slopes

This mean that the slope of the line we want to calculate too is 3

Now we can use the point slope format to get the correct equation

y-y1 = m(x-x1)

y+ 5. = 3(x+ 1)

y = 3x + 3 -5

y = 3x -2

The functions g and h are such that g(x)=2x+5 and h(x)=ax+b

Answers

the answer is : a=9 and b=-1

*PLEASE HELP ME ASAP* Sydnis room is 32 ft by 40 ft. She needs to make a scale drawing of her room that is 8 in. by 10 inc. What is the scale she needs to use?
1 inch = 8ft
1 inch = 4 ft
1 inch = 2 ft
1 inch = 1 ft

Answers

1 inch equals four 4 because 32 divided by 4 is 8 and 40 divided by 4 is 10

Pls help answer asap

Answers

Answer:

x = 3

Step-by-step explanation:

3 ( x + 3 ) = 18

( 3 ) ( x ) + ( 3 ) ( 3 ) = 18

3x + 9 = 18

3x + 9 − 9 = 18 − 9

3x = 9

3x/3 = 9/3

x=3

I hope this helps you :D

Olivia has a points card for a movie theater. She receives 80 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 105 points for a free movie ticket. Write and solve an inequality which can be used to determine xx, the number of visits Olivia can make to earn her first free movie ticket.

Answers

Answer:

10 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.

When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!! ‍
False

True

Answers

It is true it is a known and common fact

1.How do you know you have a direct variation in the
relationship between two quantities?


Answers

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

Evaluate the expression 42 + 5/9y

Answers

Combine
5
9
5
9
and
y
y
.
42
+
5
y
9

The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?​

Answers

Basically that’s it but write it down by yourself

The perimeter of the rectangle is 70cm.

What is perimeter?

Perimeter is the total length of the sides of a two-dimensional shape.

What is the formula for the perimeter of square?

Perimeter of the square is given by

P = 4a

where,

a is the side length of the square.

P is the perimeter of the square.

What is the formula for the perimeter for the rectangle?

Perimeter of the rectangle is given by

P = 2( l + b)

Where,

l is the of the rectangle

b is the breadth of the the rectangle

According to the given question.

We have the perimeter of the square is 20cm.

⇒ 4a = 20

⇒ a = 5cm

⇒ Each side length of the square is 5cm

And a rectangle made of 10 squares.

⇒ length of the rectangle = 5×5 = 25cm

and the breadth of the rectangle = 2 × 5 = 10cm

Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm

Hence, the perimeter of the rectangle is 70cm.

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cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))

Answers

Answer:

Answer below

Step-by-step explanation:

I really hope it works

Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar

Answers

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

The two triangles are similar triangles using AA postulate.

What are Similar Figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.

Hence, the two triangles are similar triangles using AA postulate.

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PLS MATH QUIZZ

Jeremiah invested $70,000 in an account paying an interest rate of 6.8% compounded daily.Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $99,000?

Answers

Answer:

t≈

5.1

Step-by-step explanation:

A=99000 P=70000 r=0.068 n=365

Given values

99000

70000

(

1

+

0.068

365

)

365

t

70000(1+

365

0.068

)

365t

Plug in values

99000

=

99000=

70000

(

1.0001863

)

365

t

70000(1.0001863)

365t

Simplify

99000

70000

=

70000

99000

=

70000

(

1.0001863

)

365

t

70000

70000

70000(1.0001863)

365t

Divide by 70000

1.4142857

=

1.4142857=

1.000186

3

365

t

1.0001863

365t

log

(

1.4142857

)

=

log(1.4142857)=

log

(

1.000186

3

365

t

)

log(1.0001863

365t

)

Take the log of both sides

log

(

1.4142857

)

=

log(1.4142857)=

365

t

log

(

1.0001863

)

365tlog(1.0001863)

Bring exponent to the front

log

(

1.4142857

)

log

(

1.0001863

)

=

log(1.0001863)

log(1.4142857)

=

365

t

log

(

1.0001863

)

log

(

1.0001863

)

log(1.0001863)

365tlog(1.0001863)

Divide both sides by log(1.0001863)

1860.731865

=

1860.731865=

365

t

365t

Use calculator

1860.731865

365

=

365

1860.731865

=

365

t

365

365

365t

Divide by 365

5.0978955

=

5.0978955

It would take 5 year for the value of the account to reach $99,000.

What is Future Value?

The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.

Given:

P = $70000

R= 6.8%

SV = $99000

For Compounded Daily

A = P [tex](1+ (R/100)/ 365) ^{365n[/tex]

99000 = 70000 [tex](1+ (0.068/100)/ 365) ^{365n[/tex]

[tex](1+ (0.068/100)/ 365) ^{365n[/tex] = 1.414

[tex](1. 00019)^{365n[/tex] = 1.414

[tex]1.072^n[/tex] = 1.414

and, n=5 years

Hence, it would take 5 year for the value of the account to reach $99,000.

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In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.

Answers

Answer:

1374

Step-by-step explanation:

delta math

The length of the side k in the given triangle is 1,373.9 cm.

What is cosine law?

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,

Using the cosine law,

k² = l²+m² - lmCos169°

= 820²+560²-(820)(560)cos169°
= 1,373.9

Hence, the length of the side k in the given triangle is 1,373.9 cm.

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38 < 4x - 10
help me out plz n ty

Answers

Answer:

Step-by-step explanation:

Bringing like terms on one side

38 + 10 < 4x

48 < 4x

48/4 < x

12 < x

select all relations that are functions from the choices below.

Answers

The correct answer is A

Use complete sentences to describe why postulates are helpful.​

Answers

Postulates are statements that are assumed to be true with out proof

Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!

Answers

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

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