Use the Law of Cosines to find the measure of ∠A. Round to the nearest degree.

a = 12, b = 5, c = 9

Use: a² = b² + c² – 2bc cos A

Use The Law Of Cosines To Find The Measure Of A. Round To The Nearest Degree.a = 12, B = 5, C = 9Use:

Answers

Answer 1

Answer:

Solution given:

a = 12, b = 5, c = 9

We have

: a² = b² + c² – 2bc cos A

12²=5²+9²-2×5×9 cos A

12²-25-81=-90 cos A

cos A=38/-90

A=cos -1(-19/45)

A=115°

is a required answer.


Related Questions

3/4 * 8 WITH EXPLANATION PLEASE
I WILL MARK YOU BRAINLIEST

Answers

Answer:

6

Step-by-step explanation:

3/4 * 8 is really easy but.....

you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.

Answer:

6

Step-by-step explanation:

First you have to set it up 3/4 * 8/1

then you multiply the numerator and denominator to get 24/4 divide 24 by 4 to get 6, your final answer.

Find the slop help please

Answers

y= mx + b is the formula for the slope.
The answer to your question is 2 hopefully i did right just like the formula

In PQR, the measure of R=90degrees, QP=53, RQ=45 and PR=28. What ratio represents the sine of P?

Answers

Step-by-step explanation:

sin(p) = opposite / hypontenuse = 45 / 53

What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.​

Answers

Answer:

-1

Step-by-step explanation:

first put the equation in slop int form:

y= x-6

to find the slope of a line that is perpendicular take the negative reciprical of the slope

so the answer is

-x

Which fraction is equivalent to 1?

One-half
Eight-sixteenths
Eleven-twelfths
Nine-ninths

Answers

Answer:

wefwdwddwd

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ben and Jane have been approved for a $220,000 loan, 30-year mortgage with an APR of 3.82%. What will be their total interest for the 30 years?

Answers

220,000 times 3.82 = 840400 divided by 30 equals 28,013

The total interest on the loan will be $457,412,82892.

What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.

We can find the total interest on loan, using the formula -

I = {P(1 + APR/100)^t − P}

The principal amount of loan = $220,000

Compound APR = 3.82%

Time = 30 years

Using the formula, we get -

220,000[1 + 0.0382]^30−220,000

220000{[1 + 0.0382]^30 - 1}

$457,412,82892

Therefore, the total interest on the loan will be $457,412,82892.

To solve more questions on mortgage loans, visit the link below -

https://brainly.com/question/28865502

#SPJ1

. Choose the correct means and standard deviations for the Sincere and Insincere conditions. Make sure to round to two decimal placesA. The Rudely Disagrees condition has a mean of 3.82 and a standard deviation of 0.85 while the Politely Disagrees condition has a mean of 4.16 and standard deviation of 0.97.B. The Rudely Disagrees condition has a mean of 4.16 and a standard deviation of 0.97 while the Politely Disagrees condition has a mean of 3.82 and standard deviation of 0.85.C. The Rudely Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the Politely Disagrees condition has a mean of 3.82 and standard deviation of 0.97.D. The Rudely Disagrees condition has a mean of 3.82 and a standard deviation of 0.97 while the Politely Disagrees condition has a mean of 4.16 and standard deviation of 0.85.E. The Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the Agrees condition has a mean of 3.82 and standard deviation of 0.97.

Answers

Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is  

                                          x`             Std. Dev      

R. disagrees                  4.16       0.854        

P. disagrees                 3.82       0.967        

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97



7
<

1
2 i really need help plz

Answers

Answer:

I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.

Step-by-step explanation:

I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.

(Tell me the question if this is incorrect. Thanks!!!)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

A rectangular prism has a top face of 12 square feet and a height of 4 feet. What is the volume of this rectangular prism

Answers

Answer

i think it is 48.

Step-by-step explanation:

plzzzzzzzz help for a brainly

Answers

Answer:

35

Step-by-step explanation:

the answer is 35 because a straight line is 170° and 135+35 is 170

The correct answer is 45°. A straight line has an angle of 180°, so you need to subtract 135° from 180°, which gives a result of 45°

plz plz plz plz help me​

Answers

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

PLS I NEED HELP FAST
Find the surface area of the cone.

Answers

Answer:

373.8

Step-by-step explanation:

PLS ANSWER RN

Pierre is making a mural. He wants to cut a piece of tile to fit in between two others. He knows that one angle has to be 46°. What must m
A. 23

B. 24

C. 67

D. 134

Answers

The answer is C. 67
sorry if im wrong:(

How many places do you need to move the decimal to the left to write the number below in scientific notation ? 1200000000000

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
1.2
×
10
8

Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)

Answers

Answer:

am i suppoesd to do number 7 as well?

Step-by-step explanation:

Two wires

tether a balloon to the ground, as shown. How

high is the balloon above the ground? (Must Use Right

Triangle Trigonometry)

look at picture

The height of the balloon above the ground is 554 ft.

I have attached a diagram where i have divided the triangle shown into 2.

From the attached image, the third angle in triangle 1 would be;

180 - (90 + 85) = 5°

The supplementary angle in triangle 2 to 85° in triangle 1 is;

180 - 85 = 95°(because supplementary angles add up to 180)

The third angle of triangle 2 is; 180 - (95 + 75) = 10°

If we label the shared slant side between the two triangles as z, the we can use sine rule to find z from triangle 2;

100/sin10 = z/sin 75

z = 100(sin 75)/(sin 10)

Applying trigonometric ratio to triangle 1, we can find h as;

h/z = sin 85

h = z sin 85

h = [100(sin 75)/(sin 10)] × sin 85

h ≈ 554 ft

Read more at; https://brainly.com/question/6241673

It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 163 people in the first group and this group will be administered the new drug. There are 160 people in the second group and this group wil be administered a placebo. After one year, 13% of the first group has a second episode and 14% of the second group has a second episode. Select a 90% confidence interval for the difference in true proportion of the two groups.
a) [0.00590, 0.0251].
b) [0.00690, 0.0551].
c) [0.0890, 0.0551].
d) [0.00690, 0.0351].
e) [0.00890, 0.0651].

Answers

Answer:

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

First group: Sample of 163, 13% has a second episode.

This means that:

[tex]p_1 = 0.13, s_1 = \sqrt{\frac{0.13*0.87}{163}} = 0.026[/tex]

Second group: Sample of 160, 14% has a second episode

This means that:

[tex]p_2 = 0.14, s_2 = \sqrt{\frac{0.14*0.86}{160}} = 0.027[/tex]

Distribution of the difference:

[tex]p = p_1 - p_2 = 0.13 - 0.14 = -0.01[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.026^2+0.027^2} = 0.0375[/tex]

Confidence interval:

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Lower bound:

[tex]p - 1.645s = -0.01 - 1.645*0.0375 = -0.0717[/tex]

Upper bound:

[tex]p + 1.645s = -0.01 + 1.645*0.0375 = 0.0517[/tex]

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?

Answers

Answer:

                                     

Step-by-step explanation:

Which value from the set {1, 2, 9, 20} will make 4(3 + x) = 6x + 4x true

Answers

Answer:

2

Step-by-step explanation:

4(3+2) = 6(2)+4(2)

4(5) = 12 + 8

20=20

Answer:

2

Step-by-step explanation:

4(3+2)=20

6(2)+4(2)

12+8=20

so 2 is the answer i hope this answer helps you and solve the question if you don't know please use calculaotor  this question you need to use substitution so substitute values from the set as x and try putting in to both equation to see both equation has same answer and matches  

Find the measure of the exterior 21.
45°
Ο Α. 10"
Β. 125°
C. 80'
D. 100°

Answers

B.125°

55•45 divided by 1

Answer:

D. 100

Step-by-step explanation:

Write the equation of a circle with a center at (-12, -11) and a radius of 7.​

Answers

let h=-12, k=-11 then

(x-h)^2 + (y-k)^2= r^2

(x+12)^2 + (y+11)^2 = 7^2

x^2 + 24x + 144 + y^2 + 22y + 121 = 49

x^2 + y^2 + 24x + 22y + 144+121-49= 0

x^2 + y^2 + 24x + 22y + 216 = 0 is the required eq

For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged

Answers

So basically what you wanna do

Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the first quartile?
Plzz help ASAP

Answers

Answer:

49.2

Step-by-step explanation:

Plsss help!!!!!!!!!!!

Answers

you’re correct, it’s the first option

a coin collection consists of nickels, dimes, and quarters, and has a total value of $3.30. there are three times as many nickels as quarters. how many coins of each kind are there if the number of dimes is three less than the average of the number of quarters?

Answers

Answer:

18 nickels, 9 dimes, 6 quarters.

Step-by-step explanation:

Basically, I just made a money table and used it to get my equation, which is: 60x-30=330, to get how many quarters there are. Then, plug that in to the problem and you have your answer.

jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interest will she earn over 5 years

Answers

Answer:

9927.5$

Step-by-step explanation:

4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.

How many cubic blocks that are 4 inches on each side can fit into this box? A. 60 B. 20 C. 30 D. 15

Answers

Answer:

b

Step-by-step explanation:

what is the measure of m

Answers

9514 1404 393

Answer:

  m = 8

  n = 4√3

Step-by-step explanation:

The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.

  (12+4)/m = m/4

  64 = m² . . . . multiply by 4m

  8 = m . . . . . . square root

__

Likewise, the ratio of long side to short side is the same.

  12/n = n/4

  48 = n² . . . . . . multiply by 4n

  4√3 = n . . . . . take the square root

_____

Additional comment

You may have noticed that the ratios of side lengths are ...

  4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle

This means the unmarked side is 8√3.

__

We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.

what does y intercept mean ?​

Answers

Answer: The vertical line on a graph representing the vertical coordinate points.

Answer:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.

Step-by-step explanation:

what is 7,548,392 rounded to 100

Answers

Answer:

7,548,400

Step-by-step explanation:

Which two expressions are equivalent? B. A 4(2 + x) 4.2 +2.x 4 + 2 + x (4 + 2) + X D. C. 4. X + 2 4. (x + 2) 4 = (2-x) 4- 2 = X​

Answers

i think it’s B because it’s in the right for mate
Other Questions
Plz this is urgent someone plz plz plz plz plz worth 21 pt and brainlest hhhhhhhheeeeeeeeelllllllllllpppppppp pls Cassidy Corporation is relocating its facilities. The company estimates that it will take three trucks to move office contents. If the per truck rental charge is $1,000 plus 25 cents per mile, what is the expected cost to move 800 miles Tonia contributes 5% of her paycheck to her 401(k) plan in order to save for her retirement, and she pays state income tax at a rate of 5% on the rest of her paycheck. If p represents Tonia's paycheck and t represents the amount she pays in state income tax, which of these equations represents this Situation? t = 0.0025p t = 0.025p 1 = 0.0475p D 1 = 0.475p What Buddhist beliefs appealed to millions of Chinese peasants? How do the properties of the planets change as you move away from the sun? Pls pls help I dont understand 0.250.90.82.512.61.2Which two of these numbers multiply together to give the smallest possible answer? Find the amount of interest earned on $5,000 at 15% compounded annually for 10 years. (Round your answer to the nearest dollar.) PLEASE HELP I DONT KNOW In the book the pearl what does Juana tell Kino she wants to do with the pearl? 1.) Which of the following statements about Socratic Questioning is true?A.) Participants should periodically summarize what has and has not been dealt with.B.) Participants should draw as few people as possible into the argument.C.) Participants should address side arguments and irrelevant points.D.) Participants should not ask probing questions. WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!!! For the compound CHO, what type of bond would join the elements and why?1. covalent because an electron is transferred from a C atom and O atom to a H atom.2. covalent because electrons are shared between the C, H, and O atoms3. ionic because an electron is transferred from a C atom and O atom to a H atom.4. ionic because electrons are shared between the C, H, and O atoms HELP!!! ASAP PLZ!!!!!!!Marc Antony's Speechfrom Shakespeare's Julius CaesarFriends, Romans, countrymen, lend me your ears;I come to bury Caesar, not to praise him.The evil that men do lives after them;The good is oft interred with their bones;So let it be with Caesar. The noble BrutusHath told you Caesar was ambitious:If it were so, it was a grievous fault,And grievously hath Caesar answer'd it.Here, under leave of Brutus and the restFor Brutus is an honourable man;So are they all, all honourable menCome I to speak in Caesar's funeral.He was my friend, faithful and just to me:But Brutus says he was ambitious;And Brutus is an honourable man.He hath brought many captives home to RomeWhose ransoms did the general coffers fill:Did this in Caesar seem ambitious?When that the poor have cried, Caesar hath wept:Ambition should be made of sterner stuff:Yet Brutus says he was ambitious;And Brutus is an honourable man.You all did see that on the LupercalI thrice presented him a kingly crown,Which he did thrice refuse: was this ambition?Yet Brutus says he was ambitious;And, sure, he is an honourable man.I speak not to disprove what Brutus spoke,But here I am to speak what I do know.You all did love him once, not without cause:What cause withholds you then, to mourn for him?O judgment! thou art fled to brutish beasts,And men have lost their reason. Bear with me;My heart is in the coffin there with Caesar,And I must pause till it come back to me.Which statement best summarizes Antony's overall claim in this speech?"The noble Brutus Hath told you Caesar was ambitious""You all did love him once, not without cause""And I must pause till it come back to me""My heart is in the coffin there with Caesar" Name 2 processes that release carbon dioxide into the atmosphere Cual es la pendiente de la recta qu pasa por los puntos (-4,-4) y (-4,-9) please help me correct some answers on my test!! im really confused. please be serious, no weird answers In circle A, the measure of arc CFE is 250 degrees. The measure of angle CAE is ___ degrees. The net of a solid figure is shown below:The net of a solid figure is shown below:Which calculation will give the total surface area of the solid figure?A) 3 x 6 x 6 square inchesB) 6 x 3 x 3 x 3 square inchesC) 3 x 6 x 6 x 6 square inchesD) 6 x 3 x 3 square inches Help me with this please Grandma decides to pay for her new granddaughter's education. She givesher one penny on her first birthday, and doubles the gift every year. Roundto the nearest hundredth. Do not use a dollar sign, numerical values only.What will be the total of all the gifts on the girl's 18th birthday?