Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 11)° = cos(–3x + 79)°

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8


Related Questions

Geoffrey measures the width of his bedroom to determine the largest size bed frame he can have. The wall he plans to place the bed frame against is 13.65 feet wide. He wants there to be 2.25 feet between the wall and the bed frame on each side. What is the maximum width bed frame, in inches, that Geoffrey can put in his bedroom?

Answers

Answer:109.8 inches

Step-by-step explanation:

Two angels are called complementary when their measures add to 90. Two angels are called supplementary when their measures add up to 180 degrees

Answers

Answer:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.Jun 5, 2017

Step-by-step explanation:

Luna~

QUESTION 1 1.1 Consider the quadratic sequence : 8; 18; 30; 44 ... 1.1.1 Write down the next two terms of the sequence. 1.1.2 Calculate the nih term of the sequence. 1.1.3 Which term of the sequence is equal to 330?

Answers

Answer:

Below in bold.

Step-by-step explanation:

8 18 30 44

the differences are 10 12 14 .etc

1.1.1  Next 2 terms are  44+ 16 = 60 and 60+ 18= 78.

1.1.2  8 =  1^2 + 7

       18 = 2^2 + 14

       30 = 3^2 + 21

       44 = 4^2 + 38

So the nth term = n^2 + 7n.

1.1.3 n^2 + 7n = 330

n^2 + 7n - 330 = 0

(n +  22)(n - 15) = 0

n =  -22, 15

As  the term sequence must be positive the answer is 15.

Gabrielle is saving money for a vacation. Each week she save $40. Let a represent the total amount of money Gabrielle saves, and let w represent the number of weeks. How much money would she save from 1 to 7 weeks?

Answers

Step-by-step explanation:

A = 40w

To Calculate how much she would get in 7 weeks

Substitute w = 7 into A = 40w

⇒ A = 40(7)

⇒ A = 280

Gabrielle would save $280 in 7 weeks

Which equation represents a graph with a vertex of (−3,2)?

Answers

Answer:

 y = 4x² + 24x + 38

Step-by-step explanation:

Distrubutive property
1. 54+27=9 (_+_)

Answers

Answer:

9(6+3) = 54+27

Step-by-step explanation:

dunno how to explain but hope the answer helps

Hey there!

54 + 27 = 81

9(6 + 3)

= 9(6) + 9(3)

= 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9

= 18 + 18 + 18 + 18 + 9

= 36 + 36 + 9

= 72 + 9

= 81

Thus, the equation answwr is: 81


Therefore, the overall answer is:

9(6 + 3)


Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Please help find Find cosR!

Answers

Step-by-step explanation:

when we look at the triangle try to reposition it at least in your mind to make R to be the center of the circle. then RP (29) is the radius of the circle and the angle indication of the angle R in this circle.

then we see QP is the sine, and RQ is the cosine of the angle R. but don't forget : all are multiplied by the radius, because the pure sin and cos functions deliver the values for the standard circle with radius 1.

so,

QR = cos(R)×RP

21 = cos(R) × 29

cos(R) = 21/29

the fourth answer is correct.

Answer:

the answer is D I took the test

136<5(-2-4b)-6
-5(1-3x)-3>112
-4(3n+2)-6>-86
-120<4(6+3p)+6p
116<-3(1-5n)+2n

Answers

Answer:

x<

−97

45

Answer:

b<

−38

5

n>

−22

3

p>

16

3

n>7

What is the volume of the rectangular prism?

Answers

Answer:

63 yd³

Step-by-step explanation:

1 cube = ⅓ of a yard

B = 7 cubes

H = 9 cubes

D = 3 Cubes

Volume = BHD

Volume = 3 x 9 x 7

9 x 7 = 63

63 x 3 = 189

189 x ⅓ = 63.

KM and NP are parallel lines. which angles are supplementary angles?

Answers

Supplementary angles = The angles add up to 180 degrees / form a straight line.

Angle KLO and angle KLJ form a straight line -> they are supplementary angles.

A and B are two companies.
The table shows some information about the sales of each company and the number of workers for each
company in 2004 and in 2014
Work out the percentage increase in sales from 2004 to 2014 for company A

Answers

Answer:

Step-by-step explanation:

Find the sine ratio for ∠D.
a. 7/25
b. 24/7
c. 25/24
d. 24/25

Answers

Answer:

sin ∠D = 24/25

Step-by-step explanation:

sin = opposite / hypotenuse

Looking at ∠D, the opposite side is 24, hypotenuse is 25

Therefore sin = 24/25

What are the coordinates of the vertices of the image?
Rotate shape A 90° clockwise with centre of rotation (0,0).
Will mark brainliest

Answers

Step-by-step explanation:

(2,4)===(4,-2)

(4,3)===(3,-4)

(2,3)===(3,-2)

80, 60, 45,...
Find the 9th term.

Answers

The ninth term of the series [tex]80,60,45.....[/tex]  is [tex]50[/tex].

We need to determine the relationship between the consecutive terms of the series to evaluate the succeeding terms of the series.

How to find the terms in a series?

The difference between the first and second terms is [tex]60-80=-20[/tex].

The difference between the second and the third terms is [tex]45-60=-15[/tex]

So, the difference between the third and the fourth terms will be [tex]-10[/tex]. So, the fourth term will be [tex]45-10=35[/tex].

Similarly, the difference between the eighth and the ninth terms will be [tex]-15[/tex]. So, the ninth term will be [tex]35-(-15)=50[/tex].

Thus, the ninth term of the series is [tex]50[/tex].

Learn more about series here- https://brainly.com/question/12707471

#SPJ2

2. the lengths of 10 pencils, in centimeters: 18, 15, 4, 9, 14, 17, 16, 6, 8, 10 median: lower quartile: upper quartile:​

Answers

Answer:

Lower Quartile: 7

Median: 12

Upper Quartile: 16.5

Step-by-step explanation:

First, to find anything you must reorganize the numbers according from smallest to biggest. In this case, it would be:

4, 6, 8, 9, 10, 14, 15, 16, 17, 18

Let's find the median first. The median is in the middle of the data set, and there are 10 numbers in this data set. We need to find the middle of two numbers to find the median, 10 and 14, which would be 12.

To find the lower quartile, you must look at the numbers below the median. Those would include 4, 6, 8, and 9. There is a even number of digits, meaning that we might find the middle of two numbers, 6 and 8, which is 7.

Then, the Upper Quartile which is the same process. Look at 15, 16, 17, and 18. It is a even number of digits so we need to find the middle of 16 and 17, which would equal 16.5.

Hope this helped!

A varies inversely with B.
When A is 0.25, B is 4.
Find the value of B when A is 5.

Answers

Answer:80

Step-by-step explanation:if you multiply a times 20 to get 5, you have to multiply b times 20 to get 80

thanks for the question.the the answer is 0.0625

Solve for x.
8.7 + X = 7
=
1.1
x = [?]

Answers

Answer:

-1.7

Step-by-step explanation:

8.7 + X =7

incorporate the shoes and socks method. We must do the opposite of what is being done. If we are adding X, we will subtract X on both sides leaving you with 8.7=7-x. We want X on one side of the equation so now we take the 8.7 and subtract on both sides giving 7-x-8.7. we must add X on both sides so we can have a X on one side thus X= 7-8.7. we can ordinary subtract and will give us -1.7.

X=-1.7

8.7+(-1.7) =7

What is the constant term in the expression 8xy + 9x2 y − 5x − 2?

−5
−2
8
9

Answers

Answer:

-2

Step-by-step explanation:

In the expression  [tex]8xy + 9x^2y -5x -2[/tex]

[tex]x[/tex] and [tex]y[/tex] are the variablesThe numbers directly before the variables are the coefficientsThe number that it not attached to a variable is the constant term

Therefore, the constant term is -2

Answer: -2  is the constant term in the expression 8xy + 9x2 y − 5x − 2

Step-by-step explanation:

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

the expression 8xy + 9x2 y − 5x − 2

now, we know that,

constant is the number with no variable attached to it.

-2  is the constant term in the expression 8xy + 9x2 y − 5x − 2.

The volume of Mikes rectangular lunch box is 240 cubic inches. The lunchbox is 3 inches deep and its length is 2 inches more then its width. What is the width of Mike's lunchbox

Answers

Answer:

8 inches

Step-by-step explanation:

You first divide 240 by 3 which is 80

Then you find what number is 2 less than the other number that is you multiplied together you get 80

And we know that 8 × 10 = 80

There for the :-

Width is 8 in

Length is 10 in

Hight is 3 in

The proof is if you multiply all of them you have to get 240

And if you multiply 8, 10, and 3 you get 240

Real Numbers: Mastery Test

Answers

Answer:

exuse me but i dont see the questions

Step-by-step explanation:

What is the measure of angle ADC in circle F?

Answers

Answer:

90°

Step-by-step explanation:

Triangle ACD has one vertex on the circle, and the other two at the opposite ends of a diameter. It is then a right triangle.

One way of thinking of it is the fact that angle AFC measures 180°, and all angles that have end points on the same arc (in our case, the part of arc AC on the bottom right part of the circle)and vertexes on the circle measure half of it, or 90°

Answer:

90

Step-by-step explanation:

since AC is a diameter and hypothenus of ADC

so triangle ADC is a right triangle

so angle ADC = 90°


You draw a rectangular picture that is 8.5 inches wide. It is 3 times as long as it is wide. What
is the area of the picture?


Answers

Answer: 216.75 in^2

Step-by-step explanation: area = 8.5 x (8.5x3)

8.5 x25.5

what is the slope between (8, -2) and (-7, 10)?

Answers

Answer:

-1/15 is the slope

Use the y2-y1/x2-x1 formula and plug in the variables

M = -1/15 is the slope between the two points

A teacher claims that his coffee cools to a temperature of 100 degrees Fahrenheit in 5 minutes after he brews it at home in his single-cup coffee brewer. To further investigate this claim, the teacher measures how long it takes for his coffee to cool to 100 degrees for each of the next 30 days. He would like to carry out a t-test for one mean to determine if there is convincing evidence that the true mean amount of time it takes for his coffee to cool to 100 degrees is less than 5 minutes. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

The answer is: No, the random condition is not met.

4) What % of 60 is 12?

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]

12×60%=

[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]

xLasersx✨

Answer:

20%

Step-by-step explanation:

100% = 60

?% = 12

[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]

Therefore, 20% of 60 = 12

Check your answer:

20/100 = 0.2

0.2 * 60 = 12

Hope this helps!

55:26
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?

(13, –23)
(5, 7)
(18, 1)
(–6, –4)

Answers

the answer is b because you add the two numbers together x + x y + y

Answer:

Its a

Step-by-step explanation:

Edge 22

Which two expressions are equivalent to 8(6x + 9)
A. 8(6x) + 8(9)
B. 8(6x) + 9
C. 14x + 17
D. 48x + 17
E. 48x + 72

Answers

Answers:   Choice A and Choice E

Explanation:

The distributive property allows us to go from the original expression to choice A. We multiply the outer term 8 by each term inside the parenthesis.

In general, the distributive property is a(b+c) = ab+ac. Example: 2(3+4) = 2(3)+2(4) = 6+8 = 14.

After simplifying the expression in choice A, it leads directly to choice E. This is because 8(6x) = 48x and 8(9) = 72.

Side note: A common mistake students do is to multiply the outer term by only one of the terms inside the parenthesis, while forgetting about the other term inside. Choice B shows this mistake. It's possible your teacher put choice B in there as a trap/trick answer.

Help I’ll give brainlessly find tqs

Answers

Your answer for TQS is 43.

89 - 46 = 43

GIVING BRAINLIEST+30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS!!

Answers

Answer:

Step-by-step explanation:

First, you would multiply 3x4 =12

next you would keep the denominator the same

last you would divide 8 by 12 10 get 1 3/8 for your answer

If you invest $1600 at 5.25% for 18 months, how much simple interest is earned?

A) $10,500
B) $1,260
C) $126
D) $1,512

Answers

Answer:

the correct answer is is b

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