What is the value of x?
sin(x + 22)° = cos(2x - 7)º

Answers

Answer 1

Answer:

x=25°

Step-by-step explanation:

sin (x+22)=cos(2x-7)=sin (90-(2x-7))

x+22=90-(2x-7)

x+22=90-2x+7

x+2x=97-22

3x=75

x=75/3=25°

Answer 2

Answer:

x = 25

Step-by-step explanation:

Recall the trig identity sin(x) = cos(90 - x)

In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)

Now, set them equal to each other:

cos(68 - x) = cos(2x - 7)

We can ignore the cosine:

68 - x = 2x - 7

3x = 75

x = 25


Related Questions

NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?

Answers

Answer:

any way since the sides are the same leangth

Step-by-step explanation:

A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.

Answers

Answer:

1,000 feet

Step-by-step explanation:

The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side.  (Like the letter "E").

5,000/5=1,000

What is the remainder in the synthetic division problem below?

O A. 5
O B. 9
O O. 3
O D. 7​

Answers

Answer:

The answer is option D.

I hope it's what you require.

Answer:

D) 7

Step-by-step explanation:

1  /   4      6        -3

               4        10      

       4      10       7

   

Step 1: Carry down the first number 4 as it is

Step 2:  Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10

Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7

And now 7 is the remainder

∠Q and ∠R are complementary. If m∠Q = 33.8°, what is m∠R ? m∠R = 146.2° m∠R = 33.8° m∠R = 123.8° m∠R = 56.2°

Answers

Complementary angles add together to equal 90 degrees.

R = 90 - 33.8

R = 56.2 degrees.

50 points, show your work. This table shows the battery life of 4 different mobile phones: Phone A: 20 hours Phone B: 25 hours Phone C: 10 Hours Phone D: 18 hours. If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day? Phone A Phone B Phone C Phone D

Answers

Answer:

phone c :)

Step-by-step explanation:

50pts + brainliest pls helllppppppppppppppppppppp
find the equation of straight line passing through (1,-1) and (3,-5) pls help im in online class and i have to answer pls helllllllllllppppppppppppppp

Answers

Answer:

Equation y = -2x -3

Step-by-step explanation:

(1,-1) (3,-5)

Slope = -5-(-1) / 3-1 = -5+1/2 = -4/2 = -2

y = mx + K

-1 = -2(1) + k

-1 = -2 + k

k = 1

Equation y = -2x+1

Answer:

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(-5-(-1))/(3-1)=(-5+1)/2=-4/2=-2

y-y1=m(x-x1)

y-(-1)=-2(x-1)

y+1=-2(x-1)

y+1=-2x+2

y=-2x+2-1

y=-2x+1

Need help asap plz ill rate 5 star (only right answer please)

Answers

Answer:

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Step-by-step explanation:

Given

[tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Required

Simplify and categorize the result based on their degree and number of terms

Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]

Open bracket

[tex]6x^2 + 2x - 3x - 1[/tex]

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

Open bracket

[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]

[tex]7x^2 + 3x -7x^2 + 4[/tex]

Collect like terms

[tex]7x^2-7x^2 + 3x + 4[/tex]

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Open brackets

[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]

[tex]20x^2-36x+28-20x^2+36x-26[/tex]

Collect like terms

[tex]20x^2-20x^2-36x+36x+28-26[/tex]

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

On December 31, 2018, a share of a cosmetics company was worth $53.85. If the company
paid a year-end dividend of $4.75 per share, what is the dividend yield of the shares of the
company?​

Answers

Answer:

Step-by-step explanation:

%($4.75 divided by 53.85) or is it the other way around. I always get these confuzzled.

Hope this helps some. That is the equation to solve for it. Sorry I wasn't much help on this subject

Answer:

it is 8.82% i did the test

What is the value of x?
sin 55° = COS X

Answers

Answer:

x=35°

Step-by-step explanation:

Answer:

x = 35°

Step-by-step explanation:

[tex] \sin(55) = \cos(x) \\ \\ x = { \cos( }^{ - 1} \sin(55) ) \\ \\ x = 35[/tex]

Hope this helps you

Please I need help on 1 and 2. Thank you.

Answers

Answer:

1. C

2. 55°

Step-by-step explanation:

So, we know that for an angle with its vertex inscribed on the circle, the arc it opens up to is twice the angle's measure, so we can get m∠ADE = 1/2(measure of arc AE), which is C.

Now we can input the measure of arc AE into the equation. So, m∠ADE = 1/2 * 110, and we can find out that m∠ADE = 55°.

---

I hope this helps, let me know if you have any questions.

Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval

Answers

Answer: (0.4016, 0.4984).

Step-by-step explanation:

Let p be the proportion of voters will vote for Candidate A for president.

Formula for confidence interval for proportion:

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

, here [tex]\hat{p}[/tex]= sample proportion

n= sample size.

z* =two-tailed critical z- value.

As per given, we have

n= 700

[tex]\hat{p}[/tex] = 0.45

Critical two-tailed z-value for 99% confidence interval = 2.576

Then, the required 99% confidence interval for p would be:

[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]

Hence, the required confidence interval (0.4016, 0.4984).

(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?

Answers

Answer:

1 hour 12 minutes or 1.2 hours

Step-by-step explanation:

You add fractions to get this.

1 room/3 hours + 1 room / 2 hours = 1 room / x

0.33333333+0.5 = 1 room / x

0.83333333 = 1 / x    Multiply both sides by x

0.83333333x  = 1      Divide by 0.8333333

x = 1/0.833333

x = 1.2 hours or

x = 1 hour and 12 minutes  

How many houses have an area less than 100^2m?

Answers

Answer:

4

Step-by-step explanation:

Each bar represents a range in area. The first bar represents the number of houses with an area of more than 50 but less than 100. It's height is 4, so there are 4 of those houses.

The answer is gonna be one because there’s only one house less then 2 meters.

i really need this can someone help solve asap!!!

Answers

Answer: to find this answer .we need to do pegothogs property

Step-by-step explanation:

30° + 90° = 90 (because it is right angle )

120° - 90° = 30°

Plz mark me as brainlist

thank you :-)

A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?

Answers

I think it’s 37, I’m not so sure, I’m sorry if it’s wrong

f(x) = 28 + 10x²; solve for f(1) and f(27)

Answers

Answer:

f(x) = 28 + 10x²

For f(1) substitute 1 into f(x)

That's

f(1) = 28 + 10(1)²

= 28 + 10

= 38

f(27) = 28 + 10(27)²

= 28 + 7290

= 7318

Hope this helps you

What is the domain and range of each relation?

Drag the answer into the box to match each relation.

A relation mapping diagram. Element x contains negative 2, 0, 2, and 4. Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0. Two maps to 0. Four maps to negative 3.

Points plotted on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. Five points are plotted. Begin ordered pair negative 3 comma 1 end ordered pair. Begin ordered pair negative 1 comma negative 1 end ordered pair. Begin ordered pair 0 comma 0 end ordered pair. Begin ordered pair 3 comma 2 end ordered pair. Begin ordered pair 3 comma 3 end ordered pair.

Answers

Answer:

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]  and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]  and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Step-by-step explanation:

Domain is the set of input values or x-values.

Range is the set of output values or y-values.

According to the relation mapping diagram, the relation is

[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]

So,

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]

[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

In the graph 5 points are plotted. So, the relation is  

[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]

So,

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]

[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Under what conditions are we allowed to add or subtract radicals together?

Answers

Answer/Step-by-step explanation:

The conditions where we are allowed to subtract or add radicals together is when the radicands, which is the number inside the radical, of both radicals are the same. And also, when they both have the same indices, that is, for example, they have the same root.

Take for example the following radical expression:

[tex]4\sqrt{2} + 3\sqrt{2}[/tex]

Both radicals, [tex]4\sqrt{2} and 3\sqrt{2}[/tex], have the same radicand, [tex]\sqrt{2}[/tex] , and also the same index of square root.

Therefore, they are regarded as like terms, and can be added or subtracted together.

Thus,

[tex]4\sqrt{2} + 3\sqrt{2} = 7\sqrt{2}[/tex]

The radicals must be the same. if the indices or radicands are not the same, then you can NOT add or subtract the radicals

If the variance of a variable is 16​, what is the standard​ deviation?

Answers

Answer:

Standard deviation=4

Step-by-step explanation:

Standard deviation = square root of variance

Standard deviation=√variance

Variance=standard deviation square

Variance=standard deviation^2

From the question

Variance=16

Standard deviation=?

Standard deviation=√variance

=√16

=4

Standard deviation=4

check:

If standard deviation=4

Variance=standard deviation^2

=4^2

=16

Therefore,

Standard deviation=√variance

[tex]4[/tex]

VarianceThe variance is a measure of how much each point deviates from the mean on average.The standard deviation of a set of numbers is the distance between them and the mean. (The mean is the arithmetic average of a given group of integers.)To compute the standard deviation, take the square root of the variance.

Variance of the variable [tex]=16[/tex]

Standard deviation [tex]=\sqrt{16}[/tex]

                                [tex]=\boldsymbol{4}[/tex]

Find out more information about the variance here:

https://brainly.com/question/24304293?referrer=searchResults

Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.

Answers

plan B would share less

because, 20% of 1700 is 340 and 30% of 1450 is 435

I hope this helps!!

Answer:

plan A

Step-by-step explanation:

Plan A

1700-8450=6750*.20=1350+1700=3050

Plan B

1450-8450=7000*.30=2100+1450=3550

Answer=Plan A

HELPPPP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.

Answers

Answer:

26

Step-by-step explanation:

Let's find first the lower quartile in both A and B

steps:

look for the smallest sum of two consecutive numbers divide by 2 to get the lower quartile

A

73 and 75 are the smallest consecutive numbers

73+75 = 148 148/2 =74

The lower quartile in A is 74

B

47 and 49 are the smallest consecutive numbers

47+49 = 9696/2 = 48

The lower quartile in B is 48

74-48 = 26

Answer:

29

Step-by-step explanation:

To find the lower quartile of each you need to find the median to split them into 2 groups (upper and lower quartile).

Lower quartile of Set A: 73, 75, 79, 81, 84, 85

Lower quartile of Set B: 47, 49, 51, 51, 55, 56

Now you find the median of the 2

Set A: 80

Set B: 51

Lastly you subtract A & B and get 29

WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box

Answers

Answer:

d.which is number of candle's in a box

Answer:

number of candies in a box

Step-by-step explanation:

if the standard deviation of a variable is 8​, what is the​ variance?

Answers

Answer:

r]

Step-by-step explanation:

please hurry! I'll mark brainliest if you're fast!

To find the quotient 5/7 ÷ 1/3
multiply 7/5 by 1/3
multiply 7/5 by 3.
multiply 5/7 by 3.
multiply 5/7 by 1/3​

Answers

The answer is multiply 5/7 by 3.

Answer:

multiply 5/7 by 3

Step-by-step explanation:

A school trip requires students to score at least a total of 335 points on four tests. Each test is worth 100 points. If a student's scores on the first three tests
were 77, 95, and 82, what score would the student need on the last test to have no less than 335 points ?
O A. 79
OB. 75
O C. 93
O D. 81

Answers

Answer:

D. 81

Step-by-step explanation:

You need to first add 77, 95 and 82 to get 254, Then you do 335 - 254 which is 81.

Answer:

D. 81

Step-by-step explanation:

To get the answer all you need to do is add all of the scores of the first three tests and then subtract that from 335.

1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144

Answers

Answer:

1) TRIANGULAR PRISM

3) d. 144 cm3

Step-by-step explanation:

1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism

2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.

3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3

Answer:

Triangular prism.

Step-by-step explanation:

The focus of the problem set is to show your ability to prove similarity between two triangles that are congruent. True False

Answers

Answer:

true bc i am smart

Answer:

the answer is TRUE

Step-by-step explanation:

The distance between two cities A and B is 400km. A car leaves from A towards B at a speed of 90kmph, at the same time another car leaves from B towards A at 110kmph.
-
a) Write the equations that give the distance as function of time.
b) Represent them graphically. V
c) Find the distance they have traveled to meet each other and the time invested.

Answers

Answer:

a. Distance = 400 - 200t

b. see attached graph

c. A travelled 180 km, B travelled 220 km, both took 2 hours.

Step-by-step explanation:

Given

distance = 400

A = 90 km/h

B = 110 km/h

A & B drive towards each other

Solutions

a) equation

Let

t = elapsed time in hours,

D(t) = distance between two drivers

D(t) = 400 - (A+B) t  

D(t) = 400 - 200t  ......................(1)

b. graph : for graph, see attached figure.

c. Distance and time

Time:

solve for t with the distance D(t) = 0 using equation (1)

0 = 400 - 200 t

200t = 400

t = 2   hours

distance travelled by A = 2 hours * 90 km/h  = 180 km

distance travelled by B = 2 hours * 110 km/h  = 220 km

84"
7'
A
B
Given the conversion factor 12 in, which line segment is longer?
O A. Line segment A
O B. Line segment B
O C. They are the same size.

Answers

The answer is C. They are the same size. 84 inches= 7 ft.

someone help please lol I’m stuck !!!!!

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

2√15

▹ Step-by-Step Explanation

[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex]\mathrm{A.}[/tex] 2√15

Step-by-step explanation:

√4 × √3 × √5

Apply rule √a·√b·√c= √(abc)

√(4 × 3 × 5)

√60

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

The highest perfect square is 4.

One of the pair factors of 60 is 4 and 15.

60 can be written as a product of 4 and 15.

√(4 × 15)

√4 × √15

√4 = 2

2 × √15

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