Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this

Answers

Answer 1

Answer:

45 and 135degrees

Step-by-step explanation:

Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this

In trigonometry, cosx = sin(90-x)

Hence:

Cos(8x+21) = sin(90-(8x+21))

Cos(8x+21) = sin(90-8x-21)

Cos(8x+21) = sin(-8x+69)

Substituting into the expression given, :

sin(-8x+69) = sin(-2x+51)

-8x+69 = -2x+51

-8x+2x = 51-69.

-6x = -18.

X = 18/6

X = 3

Since the angles 8x+21

Angle = 8(3)+21

Angle = 45

The angles represented in degrees are 45 and (180-45) = 135degrees


Related Questions

in the year 2001, a person bought a new car for $22000. for each consecutive year after that, the value of the car depreciated by 5%. how much would the car be worth in the year 2005, to the nearest hundred dollars

Answers

Answer:

To the nearest hundred dollars, the car will be worth $17,900 by 2005

Step-by-step explanation:

Firstly, we need to write the depreciation equation

We have this as:

V = I(1 - r)^t

V is the present value which is what we want to calculate

I is the initial value, the amount the cad was bought which is $22,000

r is the rate of change which is 5% = 5/100 = 0.05

t is the time difference which is 2005-2001 = 4

Substituting all these into the depreciation equation, we have it that

V = 22,000(1 -0.05)^4

V = $17,919.1375

To the nearest hundred dollars, that would be;

$17,900

What is the volume of this prism?

Answers

Answer:

94.88

Step-by-step explanation:

V=Ah

A=5/2x4x2.75

V=27.5x3.45

= 94.875

Bill's flower garden has an area of 28 square feet. The rectangular garden is 7 feet long. What is the width of the garden?A. 4 feet
B. 8 feet
C. 21 feet
D. 35 feet

Answers

Answer:

A. 4 feet

Step-by-step explanation:

The area of something is found by multiplying the length by the width. So to find the answer, you divide 28 by 7 to get 4.

I need help on this test. Will give Brainliest to whoever answers first! Pt. 6

Answers

I think the answer to 14 is J

what fraction is equivalent to 6/8

Answers

Answer:

12/16 sorry if im wrong

Step-by-step explanation:

what is the area i will give brianly to first person to answer right

Answers

30

Step-by-step explanation:

just trust me it is right

Answer:

141 is the volume of the cylinder but if your looking for the area then your answer would be 150

Step-by-step explanation:

Write as a fraction the probability of rolling a 3 on a six-sided die.

Answers

Answer:

1/6 is the probability of rolling a 3

An observer standing on the southern bank of a river sees a tree that is much more than 100 feet downstream on the northern bank of the river. The angle formed by the southern bank and the line from the observer to the tree is 15 ∘. After walking 100 feet downstream, the observer measures the angle formed by the southern bank and the line to the same tree to be 25 ∘. Find the width of the river. (can you show the work please)(also the drawing please)

Answers

Answer:

[tex]63\ \text{ft}[/tex]

Step-by-step explanation:

The distances are shown in the figure

[tex]\tan25^{\circ}=\dfrac{p}{b}\\\Rightarrow p=b\tan25^{\circ}[/tex]

[tex]\tan15^{\circ}=\dfrac{p}{b+100}\\\Rightarrow p=b\tan15^{\circ}+100\tan15^{\circ}\\\Rightarrow b\tan25^{\circ}=b\tan15^{\circ}+100\tan15^{\circ}\\\Rightarrow b=\dfrac{100\tan15^{\circ}}{\tan25^{\circ}-\tan15^{\circ}}\\\Rightarrow b=135.08\ \text{ft}[/tex]

[tex]p=b\tan25^{\circ}=135.08\times\tan25^{\circ}\\\Rightarrow p=62.99\approx 63\ \text{ft}[/tex]

The width of the river is [tex]63\ \text{ft}[/tex].

i need tthe answer............

Answers

Answer:

1440

Step-by-step explanation:

you multiply the 40 with the 36, 40x36=1440 because there are 36 groups of 40.

The area, A , of triangles is given by the following formula: A = (bh)/(2) .where h is the height of the triangle and b is the length of its base. Find the area of a triangle that has a base of 11 cm and height of 9 cm.

Answers

Answer:

49.5cm²

Step-by-step explanation:

(11x9)/2=99/2=49.5cm²

Help I need to find area and it’s due by 8

Answers

Answer:

20 1/2

Step-by-step explanation:

because area equals length times width

Answer and Step-by-step explanation:

First, let's split the figure into two common shapes that we know the area formula for.

The top shape can become a triangle, while the bottom shape can become a rectangle.

We know the area of a triangle is

[tex]A = \frac{bh}{2}[/tex]

and the area of a rectangle is

A = lw

Where:

A = Area

b = Base length (length)

h = Height

l = Longer length of a side

w = Smaller length of a side

Area of a Triangle:

b = 3

h = 3

A = [tex]\frac{3 * 3}{2}[/tex]

A = 4.5

Area of a Rectangle:

w = 3

l = 8

A = 3 × 8

A = 24

Now we add together the areas to get the area of the figure.

Area of the Figure:

A = 4.5 + 24

A = 28.5

The area of the figure is 28.5 [tex]units^{2}[/tex].

#teamtrees #PAW (Plant And Water)

what is the average rate of change of h(x) over the interval -13

Answers

The average rate of change of h(x) in the closed interval [ a, b ] is

Here [a, b ] = [ - 2, 2 ], thus
f(b) = f(2) = × 2³ - 2² = 1 - 4 = - 3
f(a) = × (- 2)³ - (- 2)² = - 1 - 4 = - 5
average rate of change = = =

Can you slove this 6=2(y+2)

Answers

Answer:

y=1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=2(y+2)

6=(2)(y)+(2)(2)(Distribute)

6=2y+4

Step 2: Flip the equation.

2y+4=6

Step 3: Subtract 4 from both sides.

2y+4−4=6−4

2y=2

Step 4: Divide both sides by 2.

2y/2  2/2

Simplify the expression.
-10a -
3a

Answers

Answer:

-13a

Step-by-step explanation:

they are like terms so it means they will add each other giving you -13a

:)

Answer:

-13a

Step-by-step explanation:

-10a-3a=13a

hope it helps.

PLEASE HELPP ITS TIMEDDD!!!

Answers

Answer:

for first question 200-75x=40

Step-by-step explanation:

multiply everything by 100 so there will be no decimals, it will come out as the same number because everything was multiplied by 100.

pls help! question is on the pic

Answers

Answer:

74

Step-by-step explanation:

I think that's right but I'm not sure

Answer:

3/5

Step-by-step explanation:

because to find sin, you do opposite over hypotenuse

Can someone help me please

Answers

Answer:

46.5

Step-by-step explanation:

Solution

A=a+b

2h=5.3+13.3

2·5=46.5

A piece of cheese at a supermarket weighs 0.38 kg and is priced at $7.35.
a. What is the cost per kg of cheese?​

Answers

Answer:

Step-by-step explanation:

Guys helppppp!!!!

What type of correlation is shown in this scatter plot

Answers

Answer:positive correlation

Step-by-step explanation:

Answer: A positive Correlation

Step-by-step explanation:

The dots are together and are going up from left to right!

Write the following numbers in
order from least to greatest.
-2, 4, 0, -3, 1

Answers

-3, -2, 0, 1, 4
hope this helps


Find the arc length of ADC. Round to the nearest hundredth.
BA = 6.5 cm

Answers

2190.5 cm.

360 degrees - 23 degrees = 337 degrees

337 degrees x 6.5 cm = 2190.5 cm

I NEED HELP WITH THIS PLEASE HELLP ME!

Answers

Heyyyyyy, use https://www.bartleby.com/  it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes !!!!!!!!

Please help this is due soon

Answers

Step-by-step explanation:

2.50 dollars i think

A train travels 3.5 kilometers on a straight track with a grade of 1º. What
is the vertical rise of the train in that distance?

Answers

Answer:

h

Step-by-step explanation:

pls helpppp
tysmmmm!!

Answers

oh i just watched a vid for that lol. That question was on it.. here <3  

https://www.you tube.com/watch?v=dQw4w9WgXcQ

4. Order the set of numbers from least to greatest: 164.8. 814 7 (5 points) 2 o 15 V64 88.14 V64.8 81 2 3. 814 64 o V64 . 3. 814 15 2 V64, 814 8​

Answers

Answer:

For the answer to the question above,

the Order the set of numbers from least to greatest: square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2

15 over 2, square root 64, 8 1 over 7, 8.14 repeating 14.

Step-by-step explanation:

Answer:

15 V64 88.14 V64.8 81 2 3. 814 64 o V64 . 3. 814 15 2 V64, 814 8​

Step-by-step explanation:

When we use the SPDC model, we always include the following EXCEPT:

A. Validate all the conditions: Random, Independence and Normality

B. Identify cause-and-effect

C. Conclude on the p-value vs. the significance level

D. Identify the population and defining the true parameter

Answers

b.!!!!!! !!!!
that’s the answer

A 20ft ladder leans up against the wall. if the ladder is 3ft from the wall, what angle does the ladder make with the ground

Answers

Answer:

θ ≈ 81.37°

Explanation:

let the angle the ladder makes with the ground be θ

θ = cos⁻¹(3/20)

θ = cos⁻¹(0.15)

θ ≈ 81.37°

A scatter plot with a line is shown below.

Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 15 at increments of 1 on the y axis. Scatter plot shows ordered pairs 0, 1 and 1, 1 and 2, 3 and 3, 5 and 4, 6 and 5, 7 and 6, 7 and 7, 8 and 8, 9 and 9, 11 and 10, 15. A line joins ordered pairs 0, 1 and 8, 15.

Which statement is most likely correct about the line?

It can be the line of best fit because it is closest to most data points.
It can be the line of best fit because it passes through all the scatter points.
It cannot be the line of best fit because it is not closest to most of the points.
It cannot be the line of best fit because it does not show positive association.

Answers

Answer:

A)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

What’s the answer to this problem

Answers

Answer:

a) 5x + 7.50y (less than or equal to) 60

Step-by-step explanation:

i hope this helps :)

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