If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer​

Answers

Answer 1

Use the pic and solve the COS x-sin x/COS x+ sin x part

comment if there's something u don't understand

If X Is An Acute Angle, And Tan X=3/4evaluateCOS X-sin X/COS X+ Sin X Please Answer Fast 10 Points And
Answer 2

The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

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:

tanx = 3/4        (x is an acute angle)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex]  ….(1)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex]  …(2)  

Divide (1) ÷ (2)

(cosx-sinx)/(cosx+sinx)  = (1/3)/(7/3) = 1/7

Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

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Related Questions

A rectangular prism is shown.




What is the volume, in cubic inches, of this rectangular prisim

Answers

104

V=WxHxL
V=2x4x13=104

Answer:

Step-by-step explanation:

104 cubed , find the value of each side length x width x height

Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?

Answers

Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches

Step-by-step explanation:

A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 35.

Required:
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?

Answers

Answer:

0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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.

A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.

This means that [tex]\mu = 30, \sigma = 6[/tex]

5 consecutive weekdays.

This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]

What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?

This is 1 subtracted by the pvalue of Z when X = 35.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{35 - 30}{2.6832}[/tex]

[tex]Z = 1.86[/tex]

[tex]Z = 1.86[/tex] has a pvalue of 0.9686

1 - 0.9686 = 0.0314

0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount

What single percentage change is equivalent to a 11% decrease followed by a 13% decrease?

Answers

Answer:

77.43% decrease

Step-by-step explanation:

A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89

A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87

A 11% decrease followed by a 13% decrease has an overall change of

0.89 × 0.87 = 0.7743 × 100% = 77.43%

Which statement can be used to find X

Answers

Answer:

it's letter D. cos 16⁰=²¹--x

Which is equal to the cos ÐR?
PLEASE HELP ME

Answers

Answer: 4/5 = .8

cos adj/hyp of r is .8

HOWEVER...

I’m assuming it’s talking about angle R...

PLEASE SOMEONE HELP ME WITH THE MATH!!! It's on the picture!!!

Answers

N is to the left of the zero which means it is a negative number.

P is the the right of zero which means it is a positive number.

A negative number is less than a positive number, so the answer would be:

The number with the least value is N

The number with the greatest value is P

write the sum 3+3+3+3+3+3 using sigma notation ​

Answers

Answer:

18

Step-by-step explanation:

The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .

What is sigma notation?

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

According to the question

The sum 3+3+3+3+3+3  

Represent the sum as sigma notation

[tex]\sum_{i=1}^{6}3[/tex]   start at 1 and goes up to 6  

=  3+3+3+3+3+3  

Hence,  the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex]   .

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simplify 8x+7-x-4


help meeeeee!!!​

Answers

Answer:

7x + 3

Step-by-step explanation:

Let's simplify step-by-step.

8x + 7 − x − 4

= 8x + 7 + −x + −4

Combine Like Terms:

= 8x + 7 + −x + −4

= (8x + −x) + (7 + −4)

= 7x + 3

Answer:

= 7x + 3

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

Solve this question for brainlest. This is due at 6 pm

Answers

Answer:

2/5

Step-by-step explanation:

multiply length and width then divide the volume by the product of length times width

3/4 x 1/2 then divide 15/16

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME

Answers

Answer:

x = 10

Step-by-step explanation:

I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:

6² + 8² = x²

100 = x²

x = √100

x = 10

The answer for x would be 10

Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)

Answers

2x-7 and 2+7 are the answers

If f(x)= x squared and g(x)=2x^3- x squared, find f(x)-g(x).

Answers

Answer:

[tex]f(x)-g(x)=2x^2(1-x)[/tex]

Step-by-step explanation:

Given that,

[tex]f(x)=x^2\\\\g(x)=2x^3-x^2[/tex]

We need to find the value of f(x)-g(x).

Put the values of f(x) and g(x). So,

[tex]f(x)-g(x)=x^2-(2x^3-x^2)\\\\=x^2-2x^3+x^2\\\\=2x^2-2x^3\\\\=2x^2(1-x)[/tex]

So, the value of f(x)-g(x) is equal to [tex]2x^2(1-x)[/tex].

Simplify. Please help me! (Exponents.) Picture added.

Answers

Answer:

it would be the last one i meant

Step-by-step explanation:

If there is a bracket you multiply the exponents
5x 2 =10
=6^10

what is the answer to this?

Answers

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

What is the approximate value of 12−−√ ?


3.5


2


6


4.5

Answers

The answer is 3.5. Do you need me to explain or is that ok?

5.23 - 22x2 – 177 + 17
T5​

Answers

Answer:

-198.77

Step-by-step explanation:

don't know what the t5 mean though here is your answer not including the T5

What is 498,235 rounded to the
nearest thousands?

Answers

Answer:

498,000

Step-by-step explanation:

The volume of a fish tank is 70 cubic feet. If the density is 0.4 fish over feet cubed, how many fish are in the tank?

175
88
28
14

Answers

Answer:

28 fish is the correct answer

Step-by-step explanation:.

The number of fish in the fish tank will be 28.

What is a volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the Cuboid.

The density of the fish is defined as the number of fish per unit volume of the tank.

Given that volume of a fish tank is 70 cubic feet and the density is 0.4 fish over feet cubed.

The number of fish is calculated as below:-

Number = Volume of tank x Density of fish

Number = 70 x 0.4

Number = 28 fish

Therefore, the number of fish in the fish tank will be 28.

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Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45

PLEASE HELP THIS IS DUE TODAY

Answers

Answer:

B

Step-by-step explanation:

Marcus can expect to have red chip 20 times.

What is probability?

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.

He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,

So,

Here the favorable outcomes = red chips (10)

Total outcomes = all the chips = 15+5+10 = 20

So, the probability of finding a red chips for the 60 times = 10/20 x 60

= 30

Hence, Marcus can expect to have red chip 20 times.

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Sin 17° cos 13° + cos 17° sin 13°​

Answers

Answer:

.5

Step-by-step explanation:

Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)

sin(17+13) = 1/2

Help me please, I don’t understand this at all

Answers

Answer: d

Step-by-step explanation:

aint no 90 cuz

Answer:

Not a right triangle

Step-by-step explanation:

root 4^2 + 6^2 is not equal to 7.5

pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x

Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.

Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.

Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).

Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).

Answers

Step-by-step explanation:

The model that illustrates the relationship is 4x=10.404x=10.40

The cost of each ice cream was x=\$2.60x=$2.60

Step-by-step explanation:

Let

x----> the cost of one ice cream

we know that

The linear equation that represent this situation is

4x=10.404x=10.40

solve for x

Divide by 4 both sides

x=10.40/4x=10.40/4

x=\$2.60x=$2.60

Answer:

First answer is y = 2.6 (or answer two)

Second answer is         Cost of Ice Cream Cones

A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)

Third answer is

             Cost of Ice Cream Cones

On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)

Step-by-step explanation:

Correct on edge 2021

and i did the calculations

I hope this helped have a great day!

PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)

Answers

The answer is A. Hope u get it right

A, B, C and D form the vertices of a parallelogram.
AD = 11.1cm, AB = 15.5cm and ZBAD = 71°.
Find the area of the parallelogram. Round to 1 DP.

Answers

Answer:

Area = 162.70 square centimetre.

Step-by-step explanation:

From the given question,

AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°

The area of the parallelogram can be determined by;

Area = AD x AB x Sin <BAD

        = 11.1 x 15.5 x Sin 71°

        = 172.05 x 0.94552

Area = 162.67672

        = 162.70 [tex]cm^{2}[/tex]

Therefore, the area of the given parallelogram is 162.70 square centimetre.

If the maximum of a data set is 50 and the minimum of the set is 10, what is the range?

Answers

Answer:

40

explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.

HELP ON HOMEWORK PLS

Answers

Answer:

∠LPN = 57°

Step-by-step explanation:

arc LMN = 360° - 102° - 144° = 114°

∠LPN = 114°/2 = 57°

I need help with a Delta math Assignment

Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how many did she make?

Answers

Answer:

9

Step-by-step explanation:

what is the value of 4/15÷2/3​

Answers

Answer:

2 /5

Step-by-step explanation:

My teacher asked me 7 x 1/5 of 19, and I got immediately stumped. My brain is mush today.

Answers

Answer:

No lol that seems very confusing but was it 26.6?

Answer:  26.6

Step-by-step explanation:

7 times 1/5= 7/5

7/5 times 19= 26.6

I hope ti helps and may God bless you! have a nice day, bye!

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