Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =

Answers

Answer 1

Answer:

1/4

Step-by-step explanation:

If you type cos(75)cos(15) into a scientific calculator, the answer comes out as 1/4.

Answer 2

The value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric expression:

= cos(75°)cos(15°)

As we know the trigonometric identity:

cos(a)cos(b) = (1/2)[cos(a + b) + cos(a - b)]

a = 75

b = 15

Plug the above values in the trigonometric identity:

cos(75)cos(15) = (1/2)[cos(75 + 15) + cos(75 - 15)]

cos(75)cos(15) = (1/2)[cos(90) + cos(60)]

The trigonometric ratio is the ratio of the pair of a right-angled triangle.

The value of cos90 = 0

cos60 = 1/2

cos(75)cos(15) = (1/2)[0 + 1/2]

cos(75)cos(15) = 1/4

Thus, the value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.

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Related Questions

HELP ASAP PLS BRAINLIEST

Answers

Answer:

for the 10 column it is $150.00 the next column is 15 and for 200 it is $250.00

Step-by-step explanation:

Find the solutions using the Quadratic Formula.
x2 – 5x-14 = 0

Answers

Answer is X=-2 ,x=7

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

The level of water in a draining pool can be modeled with the function d(t)= 12 (.72) ^ t, where d is the depth of water, measured in feet, and t is the amount of time it’s been draining, measure in days.

Calculate the average rate of change for 0 greater or equal to t and 4 is greater or equal to t.

Answers

Answer:

[tex]\approx[/tex] -2.195

Step-by-step explanation:

Given the function:

[tex]d(t)= 12 (.72) ^ t[/tex]

[tex]d[/tex] is the depth of water in feet and

[tex]t[/tex] is the amount of time

To find:

The average rate of change for [tex]t[/tex] in the interval [0, 4].

Solution:

The required rate of change in the time interval [0, 4] can be represented as:

Change in the function over the interval [0, 4] and the change in the interval.

OR

[tex]\Rightarrow \dfrac{d(4)-d(0)}{4-0}\\\Rightarrow \dfrac{12 (.72) ^ 4-12 (.72) ^ 0}{4-0}\\\Rightarrow \dfrac{3.22-12 \times 1}{4}\\\Rightarrow \dfrac{3.22-12}{4}\\\Rightarrow \dfrac{-8.78}{4}\\\Rightarrow \bold{-2.195}[/tex]

I need help with the last part

Answers

Answer:

ok gimmie a min i will put answr

Step-by-step explanation:

Given
mAOC is a straight angle.
mBOC = 6x + 29°
mAOB = 3x + 124°

Find mBOC:

Answers

The answer is 47 and here are the steps.

Frank earns $8 per hour. Madison
earns $7.50 per hour. Frank started working after Madison had already earned $300. If these rates continue, will Frank’s earnings ever equal Madison’s earnings? If so, when?

Answers

Answer:

yes, and at 600 hours they are equal and at 601 Frank passes her.

Step-by-step explanation:

since frank  has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.

First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a  positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.

Answer:

They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo

8n=7.50n+300

Sub in n for 600 and it should cancel everything out and work :)

if you want me to re-explain let me know.

The varsity club wants to make 1000 dollars for a NYC trip. They are selling t-shirts for 9.00 dollars each. The fee for printing lancers logos is 30 dollars if the number of t-shirts is represented by x write and solve an inequality to find the number of t-shirts they have to sell in order to reach their goal

Answers

Answer:

26

Step-by-step explanation:

Given that:

Target amount for NYC trip = $1000

Cost of T - shirt = $9 each

Logo printing fee = $30

Number of T - shirts = x

Number of T - shirts to be sold in other to reach their goal :

[(Cost of logo + Cost of T shirt) * number of shirts sold] ≥ target amount

[($30 + $9) * x] ≥ $1000

$39x ≥ 1000

x ≥ 1000/ 39

x ≥ 25.64

Hence, they have to sell at least 26 t shirts with logo printed to raise $1000

Whar is an example of a transversal?​

Answers

Answer: Lightwave forms the most important example of a transverse wave. In case of the light waves, particles travel perpendicular to the direction of the waves. It is the visible spectrum that is visible to the human eye and is responsible for the sense of sight.

Step-by-step explanation:

Answer:

♡ hi fairy ♡

An example of a transversal is  line that intersects a system of lines.

hope I could help you. have a great day!

-madeline/madi

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

for the function f(x) = 2(8)^x evaluate f(2)

Answers

Answer:

f(2)=128

Step-by-step explanation:

f(x) = 2(8)^x evaluate f(2)

f(2)= 2(8)^2

f(2)=2(64)

f(2)=128

Carlita planted 4 flowers in 6 minutes. About how many flowers can Carlita plant in 36 minutes?

Answers

Answer:

24

Step-by-step explanation:

[tex]\frac{4}{6} =\frac{x}{36}[/tex]

[tex]\frac{4}{6} *\frac{6}{6} =\frac{24}{36}[/tex]

[tex]x = 24[/tex]

Hope this helps and pls do mark me brainliest if you can:)

Answer:

24

Step-by-step explanation:

6*6=36, so she has 6 times as much time to plant with 36 minutes.

4*6=24, so she can plant 24 flowers in 36 minutes.

Bob buys eggs and potatoes at the store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount.
What equation can be used to determine the cost, x, of each bag of potatoes?

Answers

Answer: 2.57 + 5x = 25.92

From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had

Answers

Complete question :

From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours the trains had not met yet and were 170 mi apart. Find the speed of the trains.

Answer:

Train A = 80 miles per hour

Train B = 90 miles per hour

Step-by-step explanation:

Given that :

Distance between A and B = 1020

Let the speed of A = x

Speed of B = x + 10

Since they both left simultaneously;

Distance traveled after 5 hours will be :

Distance = speed * time

A = x * 5 = 5x

B = (x + 10) * 5 = 5x + 50

After the distance traveled by each of A and B, they are still 170 miles apart

Hence, distance covered after 5 hours ;

Total miles - miles left

1020 - 170 = 850 miles

Hence,

5x + 5x + 50 = 850

10x = 850 - 50

10x = 800

x = 80

Train A = 80 miles per hour

Train B = 80 + 10 = 90 miles per hour

Write a function g whose graph represents a reflection in the x-axis of the graph of f(x)=1/2x−3.

Answers

g(x) = -1/2 - 3
(I'm not sure)

HELP ASAP. ABC is an isosceles triangle.

Answers

Answer:

please make it more clear

Step-by-step explanation:

what you are asking

Please ask your question full not sure what you mean by this

Subtract and reduce: 2 2/3 - 1 1/2

Answers

Step-by-step explanation:

I used a calculator but the answer is 1 1/6

Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3

Answers

Answer:

First, we must determine b using slope-intercept form*, the given point, and the given slope.

[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]

Second, we need to set up the equation of the line in slope-intercept form.

[tex]y = -\frac{1}{3}x - 1[/tex]

Third, we convert the above equation to STANDARD FORM**.

[tex]y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1[/tex]

We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]

*Slope-intercept form: y = mx + b

**Standard form: ax + by = c

What is the value of 6k^-4 if k = -1?
A. -24
B. 1
C. 6
D. 24

Answers

Answer: 6

Step-by-step explanation:

[tex]6\left(-1\right)^{-4}[/tex]

[tex]6\cdot \frac{1}{\left(-1\right)^4}[/tex]

[tex]6\cdot \:1[/tex]

[tex]6[/tex]

Answer:

C, the answer is 6.

Step-by-step explanation:

If you substitute -1 into the variable "k", it would look like this equation, 6(-1)[tex]6(-1)^{-4}[/tex], if you then raise -1 to the power of -4, you would then get the value 1. Thus, 6 * 1 equals 6. C would be the correct answer.

-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)

(70 points.)

Answers

Answer:

-12164.91462:)

Step-by-step explanation:

Solution of the three expressions;

1). -12.48-(-2.99)-5.62 = -15.11

2). -353.92-(-283.56)-131.29 = -201.65

3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)

What is PEMDAS?

When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.

1). -12.48-(-2.99)-5.62

= -12.48 + 2.99 - 5.62 (double negative becomes positive)

= -15.11

Therefore, -12.48-(-2.99)-5.62 equals -15.11.

2). -353.92-(-283.56)-131.29

= -353.92 + 283.56 - 131.29 (double negative becomes positive)

= -70.36 - 131.29

= -201.65

Therefore, -353.92-(-283.56)-131.29 equals -201.65.

3). 831 / 106 (92)

This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:

= 831 / (106 x 92)

= 831 / 9736

= 0.0852 (rounded to four decimal places)

Therefore, 831 / 106 (92) equals 0.0852.

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The complete question:

Find the solution to the expressions given below;

1). -12.48-(-2.99)-5.62

2). -353.92-(-283.56)-131.29

3). 831 / 106 (92)

I think it’s b or c but not sure what it is 100 percent. The options are in the picture there is 4 and it asks which it can not be

Answers

9514 1404 393

Answer:

  d.  tan(16°) = x/6

Step-by-step explanation:

You can use logic to figure this out, even if you don't know much trigonometry.

Choices A and D are contradictory. One of them must be consistent with choice C. Choices C and D are also contradictory, so choices A and C must be in agreement and part of the set of statements that CAN be used.

Choice D is the statement that CANNOT be used to find x.

Can someone help me

Answers

Answer:

x = 15°

Step-by-step explanation:

We know that a triangle totals up to 180° when you add together all the angles. Using that, we can then add up the two angles we already know and solve for x.

106° + 59° = 165°

180° - 165° = 15°






Need answer ASAP!!!
Will make brainliest!!
which number best represents the slope of the graphed line?

Answers

Answer:( -10,10), (-,+)

Step-by-step explanation:

Awnser:

-2

Step by Step:

To find a slope, you need to find 2 points. You can't have a line with only 1 point.

The equation for a slope is: y2-y1/x2-x1.

It doesn't matter which order you put them in.

I used (-4,1) and (-6,2).

So: 2-1/-6-(-4)

1/-6+4

1/-2

-2

Dee spends $0.25, $0.30, $0.10 and $0.04.

How much $ does she spend in all?

Answers

Answer:

$0.69

Step-by-step explanation:

Add them all up.

Answer:

$0.64

Step-by-step explanation:

hope this helped :-)

Which graph shows y = 2x – 12?

Answers

Answer:

(0,6) (0,-12)

Step-by-step explanation:

The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12.

The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12. This means that the graph will have a positive slope, indicating a upward trend, and it will intersect the y-axis at the point (0, -12).

To sketch the graph, you can start by plotting the y-intercept at (0, -12). From there, use the slope of 2 to determine additional points by moving 1 unit horizontally (to the right) and 2 units vertically (upward) to plot another point. Repeat this process to plot more points, then connect them to form a straight line.

Keep in mind that a visual representation is essential for accurately identifying the specific graph of y = 2x - 12.

Learn more about graph here

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Please help me I will give you brainleist if I figure out how

Answers

2.5
2.52
5 for 12.50


12.5/5= 2.5
20.16/8=2.52
i agree with the person above :) mark them brainlist they deserve it have a great day

Order the numbers from least to greatest.
-0.5, 3, -3, 1.2
The order of the numbers from least to greatest is (blank)

Answers

Answer:

The order of the numbers from least to greatest is -3, -0.5, 1.2, 3.

Answer:

-3, -0.5, 1.2, 3

Which statement would be included in the proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.?
A. Angles F and H are congruent.
B. Angles A and G are congruent.
C. Angles A and H are congruent.
D. Angles E and C are congruent.

Answers

I think c

Step-by-step explanation:

I did it a min ago

Answer:

ur answer would be C. Angles A and H are congruent.

Step-by-step explanation:

right on edge 2021 for math

74 is a rational number but not a whole number. 74 is a whole number but not a rational number. 74 is a whole number and a rational number. 74 is not a rational number, and it is not a whole number.

Answers

Answer:

Option C: 74 is both a whole number and a rational number.

Step-by-step explanation:

A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.

Examples include -1/4, 1/2, 12

So it's obvious that the given number of 74 is a rational number.

Now, a whole number is simply a non - negative integer.

An integer is a number that is not a fraction.

Thus, examples of whole numbers are 0, 1, 2, 3, 4...

So 74 is clearly a whole number.

Therefore, we can conclude that 74 is both a whole number and a rational number.

__7. Cooling Tea: A freshly made cup of tea is served at a temperature of about 180°F. The tea

cools rapidly at first, and then slows down gradually as it approaches room temperature.

Independent Quantity:

Dependent Quantity:

Answers

Time is always independent. Time depends on nothing, no matter what other quantity is changing time will continue to move, and it will always move in the same way (seconds, minutes, hours, and so on never change their duration).

The dependent quantity would be temperature. How hot the tea is depends on how much time has passed.

Help me solve this problem please

Answers

Answer:

y= 2/3x+6

Step-by-step explanation:

if we multiply we can get the answer

Will give BRAINLIEST The two points and (–3, –2) and (4, 8) are part of a line with a slope of:

Answers

Answer:

slope of 10/1 or simplified to 10

Step-by-step explanation:

Answer:

slope is 10/7

Step-by-step explanation:

use the formula or plot the points on a graph to get the slope is 10/7

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Clouds form when humidity is ______________ and thetemperature is ______________ . ______________ humidity is definedas the amount of water vapor in the air ______________ by the amountthat would have to be present in the same air to form a ______________ or condense on a surface. ______________ is related to the humidityof the previous day. The air temperature at which water vapor in the air ______________ onto cool surfaces is the dew point. The words:humiditytemperaturemorehighlowrelativedivided clouddewcondenses if u answer this I sware u'll be brainliest bc this is so important, thank u u r soo kind and much appreciated if u pleaseGod Bless What horizontal speed must a pumpkin be thrown to hit a car 13.4 meters away from a building which stands 10.4 meters tall? 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Predict how these differences in temperature create amovement in the atmospheric gases and distribute heat energy from the sun across the planet.A)B)As air in one region diffuses, it becomes less condensed than thesurrounding air and begins to rise and draws more air along.As air in one region warms, it becomes less dense than the surrounding airand begins to rise and draws more air in underneath.As air in one region warms, it becomes less nebulous than the surroundingair and begins to descend and draws more air in with it.As air in one region cools, it becomes less compact than the surroundingair and begins to accelerate and draws more air in supportively.C)D) Which of the following is NOT true about the system of linear equationsrepresented by the graph shown below? If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a numerical answer in the space provided. Round your answer to the nearest tenth. 19 - (- 41)plzzzzzz help fast! A student wants to use cookies to make a model of the genetic makeup of the offspring of asexual reproduction. He has vanilla cookies and chocolate cookies available. How can he make his model?A. Put chocolate cookies in a row with arrows between them showing the progression from parent to offspring.B. Use one chocolate cookie parent with arrows showing that it produces vanilla cookies and chocolate cookies as offspring.C. Use chocolate cookies and vanilla cookies as the parents, and vanilla cookies and chocolate cookies as the offspring.D. Use chocolate cookies and vanilla cookies as parents, and combine half a vanilla cookie and half a chocolate cookie for the offspring. Which statement is true?Adding energy can change a liquid to a solid.Solids have no movement of molecules.Liquids do not have a set volume.Gases can be compressed to change their volume. Hurry!!!Which of the following countries did the Roman empire NOT trade with?a.Gaulc.Chinab.Western Germanyd.Russia what are the two branches that specify at least one way of those two branches that can limit the power of the other branch The just meaningful difference (JMD) refers to: A. The process by which consumers give humanlike characteristics to inanimate objects. B. The smallest amount of change in a stimulus that would influence consumer consumption and choice. C. A situation where a stimulus is sufficiently stronger than another so that someone can actually notice that the two are not the same. D. The way in which consumers interpret information in ways that are biased by their previously held beliefs. E. The process of screening out certain stimuli and purposely exposing oneself to other stimuli.