Pre calculus law of sines

Pre Calculus Law Of Sines

Answers

Answer 1

Answer:

AB = 6.5

Step-by-step explanation:

C = 59°

AC = 7

CD = 6

AB = ?

Apply the Law of Cosines, which is AB² = AC² + CD² - 2(AC)(CD)*Cos(C)

AB² = 7² + 6² - 2(7)(6)*Cos(59)

AB² = 85 - 43.26

AB² = 41.74

AB = √41.74

AB = 6.5 (nearest tenth)


Related Questions

HELP PLSSSS I BEGG PLSSSSSSSSSSSSSS

Answers

Step-by-step explanation:

every Saturday Michelle takes her dog to the park.

Stevie is laid-back guy and he usually handles tough situations in a very negative way.

Allied liberated another town and also helped hundreds of enemy soldiers.

I really need help , Please help

Answers

Answer:

Step-by-step explanation:

Inpert

The probability of an event under the uniform distribution - random permutations. A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Celia and Felicity. Give an expression for each of the probabilities below as a function of n. Simplify your final expression as much as possible so that your answer does not include any expressions of the form (ab)(ab).
(a) What is the probability that Celia is first in line?
(b) What is the probability that Celia is first in line and Felicity is last in line?
(c) What is the probability that Celia and Felicity are next to each other in the line?

Answers

Answer:

a)

the probability that Celia is first in line is 1/n.

b)

the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)

c)

the probability that Celia and Felicity are next to each other in the line is 2/n

 

Step-by-step explanation:

Given the data in question;

a) Celia is first in line?

the total ways are; n! to place n kids in n places in orderly fashion.

now, if Celia is the first kid, we have to order remaining n-1 kids

(n-1)! / n! = 1/n

therefore, the required probability is 1/n.  

b)  Celia is first in line and Felicity is last in line?

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!

(n-2)! / n! = 1 / n(n-1)

therefore, the required probability is 1 / n(n-1)

c) Celia and Felicity are next to each other in the line

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.

But also these 2 can change the place so in total there are 2(n-1)! ways.

2(n-1)! / n! = 2/n

Therefore, the required probability is 2/n

Garland put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week

Answers

Answer:

1st week deposit= 2b+3

2nd week deposit=2(2b+3)

3rd week deposit=4(2b+3)

Total deposit=2b+3+2(2b+3)+6(2b+3)

=9(2b+3)

=18b+27

18b+27=477

18b. =477-27=450

18b. =450

;

b=450/18=25

Therefore 2b+3=2(25)+3 =50+3=53

PLEASE GIVE BRAINLIEST

7. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)

Answers

9514 1404 393

Answer:

  7. D: (-∞, ∞); R: [3, ∞); see attached for a graph (red)

  8. a=0; see attached for a graph

Step-by-step explanation:

7. The function is a polynomial, so its domain is all real numbers.

The parabola opens upward. It has a minimum value of 3. The range is y ≥ 3.

__

8. Putting the given point coordinates in the equation, we can solve for a.

  f(7) = 6

  6 = a(7 -5)² +6

  0 = a(2²)

  0 = a

The value of a is zero.

(The given point has the same y-value as the vertex, but is not the vertex. The function can only go through that point if it is a horizontal line (not a parabola).) The attachment shows a graph.

Pls help, my address is 123 help

Answers

Answer:

y=2x

Step-by-step explanation:

First you find out what times what equals 2 and that's it

Can someone PLEASE help me and will mark brainliest!!!

Answers

I think you would multiply, so it would be 8x? So true..? I’m rlly sorry if you get it wrong

Answer:

True

Step-by-step explanation:

(2x)(4x) = 8x^2

Simplify the expression 9+2y+3y squared -2y squared

Answers

Answer:

[tex]y^{2}[/tex] + 9

Step-by-step explanation:

To simplify, combine like terms:

3[tex]y^{2}[/tex] - 2[tex]y^{2} = y^{2}[/tex]

9 = 9

Set it up:

[tex]y^{2} + 9[/tex]

If diana spends 25 minutes running at the gym how many minutes does she spend lifting weight

Answers

Answer:

0

Step-by-step explanation:

The question doesn’t say that she lifted weights

If Diana spends 25 minutes running at the gym, then she spend lifting weight for 13 minutes.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

At the gym, Diana always spends more minutes running than lifting weights.

If r represents the number of minutes Diana runs and w represents the number of minutes Diana lifts weights, then, r must be greater than w.

Possible equations are,

12 + w = r

r - 12 = w

In both cases, r is greater than w.

If Diana spends 25 minutes running at the gym, r = 25.

w = r - 12 = 25 - 12 = 13

Hence the number of minutes that Diana spends lifting weights is 13 minutes.

Learn more about Equations here :

https://brainly.com/question/29657983

#SPJ3

Your question is incomplete. The complete question is as given below.

It's Friday afternoon and six fraternity brothers at UNC have just attended their last class of the semester. To unwind before the final exam Monday morning, they decide to spend the weekend at the beach. After a weekend of immature, irresponsible behavior, they oversleep Monday morning and miss the final exam. Later that day they go to their professor (who received her Ph.D. from NC State) and explain that they went to the beach and were on the way back for the final exam but their car (a BMW of course) had a flat tire. The professor says that they can come back the next morning and she will give them a make-up final exam consisting of one short-answer question! The students are ecstatic and high-five each other all the way back to the frat house. The next morning the professor puts each student in a different room and hands them their one-question test. The question: Which tire?

Required:
What is the probability that all 6 students will say that the same tire was flat?

Answers

0.024%=0.25^6............

4) Find a solution to the following system of equations by graphing
X-y = 11
X-y = 5

!SHOW WORK PLEASE!

Answers

Answer:

No solution

Step-by-step explanation:

Given

[tex]x - y = 11[/tex]

[tex]x - y = 5[/tex]

Required

Solve by graph

See attachment for graph.

From the attachment, lines [tex]x - y = 11[/tex] and [tex]x - y = 5[/tex] do not intersect. This implies that, no solution exist

A road crew much repave a road that is 4/5 miles long. They can repave 1/20 miles each hour. How long will it take the crew to repave the road? Write your answer in simplest form.

Answers

Answer:

16 hours

Step-by-step explanation:

Multiply the 4/5 by 4 to get the denominator as 20. So you do 4 x 4 which equals 16 and 5 x 4 which equals 20 so you get 16/20 miles or 16 hours.

Kenneth's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 63 caffeinated
teas and 7 decaffeinated teas. What percentage of the teas served were caffeinated?

Answers

Answer:

90%

90% of the teas were caffeinated.

Step-by-step explanation:

Total teas: 63+7= 70

63/70 x 100/1= 90%

90% of the teas were caffeinated.

Answer:

90%

Step-by-step explanation:

CAN SOMBODY HELP ME IF YOU DO IT WRONG I WILL REPORT YOU BUT IF IT IS RIGHT I WILL GIVE YOU ALL MY POINTS AND BRINLY AND 5 STARS AND A THANKS BUT ALL I ASK IS THAT WHEN YOU ANSWER IT PLZZZZZZZZZ TELL ME HOW YOU DID IT I NEED TO NOW BECAUSE I NEED YOUR HELP

Answers

Answer:

D: 2:3

Step-by-step explanation:

She saw 2/5 mockingbirds

The remainder of birds she could see is 3

This means she saw 3 blue jays

The ratio is mockingbirds to blue jays, which is 2:3

Can you solve these trapezoid areas please?
Thank you

Answers

the first one is 3.15 and the second one is 630

Which region indicates the intersection of the system 2x + 3y > 3 and y sx - 1?

Answers

Answer:

I think Region 1 is my answer, because the first equation is -1.1 and thats the closest point

6) How many solutions does the system have? y = 5x + 3 and y = -2x + 3

Answers

Step-by-step explanation:

5x + 3 = -2x + 3

7x = 0

x = 0

y = 0 + 3

y = 3

(0, 3)

one solution

1 Gabriel and his mom have jars of apple sauce stored in boxes in their pantry. Each box contains 12 jars of
apple sauce. Gabriel's mom uses 3 jars from 1 of the boxes,
Which function shows the relationship between y, the total number of jars of apple sauce remaining in the
pantry, and x, the number of boxes in the pantry
A. y = 9x
B. y = 11x +9 C. y = 12x
D. Y = 12x - 3

Answers

Answer:

D. y = 12x - 3

Step-by-step explanation:

We know that the number of boxes is x and that each box contains 12 jars

This means that:

Total number of jars = number of boxes * number of jars in each box

Total number of jars = 12x jars

Now, Gabriel's mum used 3 jars

This means that, the number of remaining jars (y) can be calculated by removing 3 from the total number of jars (12x)

Based on the above:

Remaining jars = Total number of jars - Number of used jars

Y = 12x - 3

Hope this helps :)

Segment
A
B

AB
has endpoints at
A
(

4
,
5
)
A(−4,5) and
B
(
12
,
13
)
.
B(12,13).

Determine the coordinates of point
C
C that lies on
A
B

AB
such that
A
C
:
C
B
=
3
:
1
AC:CB=3:1

Answers

Answer:

12.5

Step-by-step explanation:

A construction crew is lengthening a road that originally measured 45 miles. The crew is adding one mile to the road each day.
Let L be the length (in miles) after D days of construction.

Write an equation relating to . Then use this equation to find the length of the road after days.


Answers

Answer:

L = 45 + D

Step-by-step explanation:

Examples

D = 2

L = 47 miles

D = 5

L = 50 miles

D = 10

L= 55 miles

Write the first five terms of the geometric sequence.
an= - 4an-1; a1= 5

Answers

Answer:

don't know only

Step-by-step explanation:

ok

aaaaacvhj

If 6 times a certain number is added to 8, the result is 32. Which of the following equations could be used to solve the problem? 6 x = 8 + 32 6 x+8 = 32 6 x= 32 61 X + 8) = 32​

Answers

Answer:

6x + 8 = 32

6(x + 8) = 32

Step-by-step explanation:

Hope this helps

how much interest does $1,000 earn at an interest rate of 6% compounded semi annually? what is the balance after 2 years

Answers

Answer:

Interest = A - P = 1015 - 1000 = $15

Step-by-step explanation:

if you answer all the questions I will give you 80 points and brainliest

Answers

Answer:

1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216

2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188

3) SA = 2(6*12 + 14*12 + 6*14) = 648

4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270

5) 2(16*9 + 4*9 + 16*4) = 488

6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8

7) SA = 2(7*7 + 14*7 + 7*14) = 490

8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28

9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564

Answer:Answer:

1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216

2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188

3) SA = 2(6*12 + 14*12 + 6*14) = 648

4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270

5) 2(16*9 + 4*9 + 16*4) = 488

6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8

7) SA = 2(7*7 + 14*7 + 7*14) = 490

8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28

9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564

Step-by-step explanation:

Write a denominator for 3/8 and 2/12

Answers

Answer:

24

Step-by-step explanation:

8 * 3 = 24

12 * 2 = 24

(the star is the multiplication sign)

Hope this helps :)

Solve 5x÷6=20.

The solution is x=

Answers

we want to get x by itself
First we will multiply both sides by 6 to cancel out the 6 on the left
5x = 120
We then divide by 5 on both sides to get x by itself
x = 24
5x=20•6
5x=120
x=120/5
x=24
Answer is 24

geometry I need help find the value of theta and round your answer to the nearest tenth.

Answers

Answer:

54deg

Step-by-step explanation:

We need to compute the inverse cosine of 10/17. I can't do it by hand, so I used a calculator and it arrived at ~53.97deg which is 54deg rounded to the nearest tenth.

The graph shows the relationship between the
cups of water and pounds of beef needed for a
beef casserole.
Poop

Answers

Answer:

Step-by-step explanation:

I see no graph poop you! Have a nice day!

The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 7 mg.

A.) What was the initial mass (in mg) of the sample?


B.) What is the mass (in mg) 4 weeks after the start?

You may enter the exact value or round to 4 decimal places.

Answers

9514 1404 393

Answer:

  A) 448 mg

  B) 3.5 mg

Step-by-step explanation:

24 days is 24/4 = 6 half-lives. That is, the mass of 7 mg is 2^-6 times the initial mass.

A) The initial mass is 2^6×(7 mg) = 448 mg

__

B) 4 weeks is 28 days, or 7 half-lives. The remaining mass will be half the amount after 6 half-lives.

  (7 mg)/2 = 3.5 mg . . . . remaining after 4 weeks

what’s the remainder he’ll please

Answers

Answer: 13

Step-by-step explanation: Add 10+1+1+1=13

Answer:

The remainder is 12 because what is left is 12

(12 cannot be divided by 24)

Hope this helped!

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