HELP ASAP TIMED !!!! What is the exact value of cos(c + d), given Sine c = StartFraction 24 Over 25 EndFraction for c in Quadrant II and Cosine d = negative three-fourths for d in Quadrant III?
Negative StartFraction 47 Over 100 EndFraction
Negative 1 and StartFraction 3 Over 100 EndFraction
StartFraction 21 minus 24 StartRoot 7 EndRoot Over 100 EndFraction
StartFraction 21 + 24 StartRoot 7 EndRoot Over 100 EndFraction

Answers

Answer 1

9514 1404 393

Answer:

  D

Step-by-step explanation:

In the second quadrant, ...

  c = 180° -arcsin(24/25) ≈ 106.26°

In the third quadrant, ...

  d = 360° -arccos(-3/4) ≈ 221.41°

Then cos(c+d) = cos(327.67°) ≈ 0.84498

This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:

  [tex]\dfrac{21+24\sqrt{7}}{100}\approx 0.84498[/tex]

_____

Perhaps you want to work this out using the trig identities.

  cos(c) = -√(1 -sin(c)²) = -7/25

  sin(d) = -√(1 -cos(d)²) = -(√7)/4

Then the desired cosine is ...

  cos(c+d) = cos(c)cos(d) -sin(c)sin(d)

  cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)

  cos(c+d) = (21 +24√7)/100 . . . . matches choice D

Answer 2

Answer:

D

Step-by-step explanation:


Related Questions

Translate this sentence into an inequality:
Twice the difference of a number and 5 is at least -30.

Answers

Answer:

2x -5=-30

2x= 5 -30

2x= 25

x= 25/2

x= 12.5

HELP PLEASE!!!! I ONLY HAVE 3 MORE MATH RIDDLES LEFT!!!!

Answers

Answer:

97

Explanation:

Buddy- 6

Hermey-3

____________________________________________________________

It takes Buddy 94 years to be 100 so you would add 94 to both boys ages!

6+94=100 years old!

3+94= 97 years old!

Answer:

He is going to be 50 years old

Step-by-step explanation:

if he was 3 when his brother was 6 then it would mean that when his brother is 100 he should be 50  because that would be half. You can divide it if you want some extra proof :)

Simplify the expression given below.

4(3x−1)−(6x−5)

Answers

Answer:

6x+1

Step-by-step explanation:

You would want to distribute and then combine like terms.

Ms. Frank purchased notebooks for $12.57 before tax. If the sales tax on her purchase was 6%, how much money should Ms. Frank have to pay for the notebooks in total.

Answers

Answer:

$13.32

Step-by-step explanation:

To find the tax, convert the percentage to decimal form and get 0.06. Multiply 0.06 by 12.57 to get 0.7542. Add this to 12.57 to get 13.3242. When rounded to the nearest hundredths place this becomes $13.32

(5+ w)(w + 4) =
polynomial stanford form

Answers

9W + W^2 + 20 using the foil method

PLEASE HELP WILL GIVE BRAINLIEST.
What is the slope-intercept form of the function described by this table?


x 1 2 3 4
y −2 −6 −10 −14
Enter your answers by filling in the boxes.

y = x +

Answers

the form would be
y = -4x + 2

Aiden earned $184.50 at his job when he worked for 9 hours. What did he earn in one
hour?

Answers

Answer:

20.50$ in one hour

Step-by-step explanation:

Just division :)

Kacy is on her freshman volleyball team.she makes 31%of her foul shots,leading her team to 14 wins in 19 games of the season. If kacy took 49 foul shots during the season, how many shots did she make(if necessary, round the the nearest tenth)

Answers

Answer:

15.2

Step-by-step explanation:

She makes 31% of her foul shots

she took 49 shots

the number of foul shots is 31% of 49 shots

=31% * 49

=0.31 * 49

= 15.19

rewrite y=-8x+1 in standard form

Answers

Answer:

8x+y=1

Step-by-step explanation:

Hope this helps!!

Brainliest if correct please help

Answers

Answer:

H

Step-by-step explanation:

Because 20 percent is 24 dollars off and the second option is 30 dollars off and the third is 40 dollars off and 120-40 is 80 dollars so sentence H is correct

Please give me brainiest  

Trey pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon?​

Answers

Answer:

$8.50

Step-by-step explanation:

You divide $22.10 by 2.6 to get the price per pound of salmon.

22.10 ÷ 2.6 = 8.5

What is the result of factoring out the GCF from the expression ( 24 + 36 ) ?

Answers

Answer:

6 is the GCF / 6(4+6)

Step-by-step explanation:

You should know your multiples up to 10, so then do some mental math and think about what number could go in each example:

Try 2: 2,4,6,8,10,12,14,16,18,20,24... except at the end we know there is most likely a greater GCF because two even numbers still remain in the parentheses.

This should be pretty fast since you should realize that three wouldnt work and same with five.

Until you see six

6,12,18,24,30,36

Find B U C.


I need help

Answers

Answer:

∪ means the whole numbers which is found in them

B and C have the numbers, 3,7, 6, 9, 2, 5

so, B∪C={2, 3, 5, 6, 7, 9)

Step-by-step explanation:

can i have brainliest if it helped : )

Abby bought one package of cookies that weighed 24 ounces and another package that weighed 2 pounds 2 ounces. What was the combined weight of the two packages of cookies she bought?

Answers

Answer: If you place 10 packages per box, each box will weigh 10(3 lb 4 oz). This is 30 lb 40 oz. For 4 boxes you would have 4(30 lb 40 oz). This is 120 lb 160 oz. To put you answer in the correct form you need to change the 160 oz to pounds and ounces. 16 oz is equal to 1 pound, so divide 160 by 16. The 160 oz is equivalent to 10 lbs. Therefore the total weight of 4 boxes is 120 + 10 which equals 130 lbs.

In 2020, the United States population is 3.31 x 108. What is this number in standard form?
А
33,100,000
B
331,000,000,000
С
331,000,000
D
3,310,000
anybody know the answer??

Answers

Answer:331,000,000

Step-by-step explanation:

A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls

Answers

$5,520.00 there ya go

what is 5x+60y=35
x+y=1.5

Answers

Solving the system of equations shows that to make these equations true x=1 and y=0.5

Body temperatures that are 0.9°F above or below 98.6°F are considered normal. What equation can be used to determine the least and greatest normal temperatures? What are Ithe temperatures?

pls help fast

Answers

Answer: i got a for your answer choice

Step-by-step explanation:

Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)

Answers

Answer:

-1/2

Step-by-step explanation:

Can someone help me on this! plz help me and tell me how u got the answer.
and plz dont troll.....

Answers

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

PLEASE HELP PLEASE EMERGENCY

Answers

1, 5, 4, 2, 3 in that order

Answer:First one is first step. 2 is Last step. 3 is fourth step. 4 is second step. 5 is Third step

Step-by-step explanation:

I went down the column

A business man wants to gain more profit every day. If we are going to relate it to a parabola, the vertex should always be at its _______________ to illustrate that his business is always gaining.
a. maximum
b. minimum
c. break-even
d. origin

Answers

The answer is b. Minimum
the answer is B, or minimum!!! hope this helps!!

A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.

Answers

Step-by-step explanation:

1) 43

2) 61

3) 79

4)97

5)115

Answer:

popoverlover20 is correct I got it right

Step-by-step explanation:

Can You Help Me With This Question

Answers

Answer:

Step-by-step explanation:

can anyone help me figure this out / explain it to me pls .. ="(

Answers

Um I think your teacher might be high

There are 10 questions in a quiz. Using the reference image, find how many questions must be answered correctly to earn at least 14 points.

Answers

Answer:

At least 7 questions need to be answered correctly.

What is the slope of a line perpendicular to the line whose equation is 12x-3y=81. Fully reduce your answer.

Answers

Answer:

-1/4

Step-by-step explanation:

-3y = 81-12x

y= 4x - 27

4m = -1 x 1/4

= -1/4

Planes A and B are shown. If a new line, p, is drawn parallel to line l, which
statement is true?
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same plane as line l.
O Line p must be drawn in the same plane as line n

Answers

Answer: the second one

Step-by-step explanation:

I’m smart I have al a’s

The true statement is - Line p must be drawn so that it can lie in the same plane as line l.

What is plane?

"It is a two-dimensional flat surface with no edges or thickness."

What are parallel lines?

"Two lines in the same plane that are at equal distance from each other and never meet."

For given question,

Planes A and B are shown.

If a new line, p, is drawn parallel to line l,  must be drawn so that it can lie in the same plane as line l.

Line l lie in plane A.

So, the line p must be drawn in the plane A.

Therefore, the true statement is - Line p must be drawn so that it can lie in the same plane as line l.

Learn more about parallel lines here:
https://brainly.com/question/16701300

#SPJ3

Claudia spends $2.15 day for lunch.Her cafeteria lunch account has a balance of 48.00.Which equation can be used to determine the maximum number of days,d,that she can eat without adding money to her lunch account?

Answers

Given :

Claudia spends $2.15 day for lunch.

Her cafeteria lunch account has a balance of 48.00 .

To Find :

The maximum number of days, d that she can eat without adding money to her lunch account.

Solution :

Number of days she can eat without adding money in her account is :

[tex]n = \dfrac{Remaining \ Balance }{2.15}\\\\n = \dfrac{48}{2.15}\\\\n = 22.325[/tex]

But, number of days cannot be in decimal.

Therefore, maximum number of days she can eat without adding money to her lunch is 22 days.

Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10 inches deep, and 8 inches high. How much cement is needed to fill the form?

Answers

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

[tex]V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3[/tex]

Hence the volume of cement is 3240 in^3

Other Questions
A number squared increased by 5 is 41 Ling earns $108 for working 9 hours. Rachel earns $77 for working 7 hours. Ruben earns $92 for working 8 hours. Patrick earns $115 for working 10 hours. Who has the highest hourly wage? A. Ling B. Rachel C. Ruben D. Patrick Hi! free one hundred points for anyone who answers also whoever answers ill give brainiest! In multicellular organisms, life begins as a single cell until ___________ occurs, causing growth. please hurry !! can u answer all of em what is the answer to this question some one please help me (7b)+(3b+2) Please help me Im in the middle of the test, Ill mark brainiest for the best answer Select all ratios equivalent to 3:5. 6 : 10 10 : 25 25 : 15 what is the value of f(x),if x is -8? Find the first five terms of the following sequence, not including the oth term:t(n) = 25+ 8n Drag and drop the answer into the box to identify each function as linear, exponential, or neither. Which statement Best explains how effectively Aiden's claim responds to the prompt? Garrisons views regarding slavery were most directly influenced by the Missouri Compromise. Second Great Awakening. Bill of Rights. Magna Carta. 6. Which form of renewable energy converts sunlight into electricity?hydroelectricsolar powergeothermalbiomass7. What renewable biomass fuel source has been used for thousands of years?cornstrawsugarcanewood8. Which renewable form of energy is found in the Earth's crust?coalpetroleumgeothermalnatural gas9. What effect does the Earth's surface have on solar radiation?Half of the solar radiation is absorbed and converted to infrared (heat).Nearly all solar radiation is reflected back into space by the ground.The ground absorbs half the solar radiation and stores it as infrared radiation for centuries.10. Which greenhouse gas has the greatest effect on climate?nitrous oxidehydrofluorocarbonswater vaporcarbon dioxide Zoe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 6 hours and charged her $121 for parts. The total was $571. Write and solve an equation which can be used to determine xx, the cost of the labor per hour. If 28 strawberries make 4 smoothies how many smoothies make 70 strawberries There were 640 gallons of water in a 1,600-gallon pool. Water is being pumped into the pool at a rate of 320 gallons per hour.If t stands for hours and the pool is being filled using the equation: 1600=320t+640, how many hours will it take to fill the pool? CAN SOMEONE HELP ME PLEASE The part of one type of amino acid that makes it different from another type is the Briefly describe the differences between a flow and a slide (3)