If the angles are represented in degrees, find both angles:
cos(8x+18)=sin(−2x+36)

Answers

Answer 1

Answer:

24 and 66degrees

Step-by-step explanation:

Given the equation

cos(8x+18)=sin(−2x+36)

In trigonometry identity, cos theta = sin (90- theta)

The given expression becomes;

sin (90 - (8x+18)) = sin(−2x+36)

sin will cancel out to have;

90 - (8x+18) = (−2x+36)

90-8x-18 = -2x+36

-8x +72 = -2x+36

-8x + 2x = 36 - 72

-6x = -36

x = 36/6

x = 6

Hence the value of x is 6

cos(8x+18) = cos(8(6)+18)

= cos  66

Also

sin(−2x+36)

= sin(−2(6)+36)

= sin(−12+36)

= sin 24

Hence both angles are 24 and 66degrees


Related Questions

There are 3 green marbles and 15 blue marbles in a bag. What is the ratio of green marbles to total number of marbles? Select all the equivalent ratios that represent this relationship.

Answers

3:18 is the answer hope this helps
The ratio of green marbles to blue marbles is 1:3

Good Luck!

PLWASE HELP ME THIS IS DUE TODAY
Find the area of the shaded region. Use 3.14 for it. 8 cm 8 cm​

Answers

The resolution of the problem is in the attached photo

Remember: Area of ​​the circle= 3.14 x r^2

if you don't understand some passage write in the comments of my answer ;)


help me please I really need it.
Thank you

Answers

Answer:

D

Step-by-step explanation:

Answer:

D is ur answer

Step-by-step explanation:

Bye

What is a value of \sqrt(7) inches to the nearest hundredth?

Answers

Answer:

2.65

Step-by-step explanation:

Using a calculator's square root key, we get √7 = 2.64575....

To the nearest hundredth, that'd be √7 = 2.65.

Can someone simplify this equation and solve for x and y?
(2x-5)+(y-1)+x=169

Answers

Answer:

Answer

2x+3y=14,2x−3y=2

Adding :

2x+3y=14

2x−3y=2

__________

4x=16

x=4

∴xy=4×2

=8

2×4+3y=14

8+3y=14

3y=6

y=2

Step-by-step explanation:

here you go

Answer: The y-intercept is found by substituting known values for x and y in the equation and solving for b. the known values are (x,y) = (2,8.4) Equation of y = 4.2*x + b becomes 8.4 = 4.2*2 + b

Step-by-step explanation:

Pablo swims 1 length of a swimming pool. What unit would be best for measuring that length of the pool?

Answers

Answer:

kiloliters

Step-by-step explanation:

The amount of water a family uses in a year is a large amount of water - more than the amount of water in a pool! This means kiloliters would be the best unit of measurement.

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Answers

Answer:

3--1/-2-4=4/-6=2/-3

y=-2/3x+b

-2*-2/3=4/3

3-4/3=5/3

y=-2/3x+5/3

Step-by-step explanation:

Answer:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the two points:

(4, -1) and (-2, 3).

First, we will find the slope of the two points. So:

[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]

Now, we will use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

Use either point. I'm going to use (4, -1). So, substitute:

[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]

Simplify and distribute:

[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]

Subtract 1 from both sides. Therefore:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?



The graph represents the system of inequalities .
The test point satisfies both of the inequalities in the system represented by the graph.

Answers

Answer:

Ok so its -3;3

Step-by-step explanation:

Calculate the scale factor for the original triangle and its
larger image. Show your working out.


Answers

Answer:

2

Step-by-step explanation:

8/4=2

have a good day..

Decide if the following statement is valid or invalid.

If I go to the park, then I will play baseball. If I play baseball, I will need a glove. I will go to the park tomorrow, I will need a glove.

Valid or Invalid ?

Answers

well if you play baseball every time you go to the park, then yes it’s valid but in this case it doesn’t plainly say that tomorrow when they go to the park they will play baseball, meaning there’s no need for a glove. i’d say it’s invalid.

Answer:

valid

Step-by-step explanation:

What is the value of x ?
7x– 5 = 4x - 14

Answers

Answer: X is equal to -3

Step-by-step explanation: I isolated x and then divided both sides by x

Here is a rectangle all measurement are in centimetres the area is 48cm^2 find the value of y

Answers

Answer:

y = 3 cm

Step-by-step explanation:

We'll begin by calculating the value of x. This can be obtained as follow:

2x + 6 = 5x – 9 (opposite side of rectangle are equal)

2x + 6 = 5x – 9

Collect like terms

6 + 9 = 5x – 2x

15 = 3x

Divide both side by 3

x = 15 / 3

x = 5 cm

Next, we shall determine the length of the rectangle. This can be obtained as follow:

L = 2x + 6

x = 5 cm

L = 2(5) + 6

L = 10 + 6

L = 16 cm

Finally, we shall determine the value of y. This can be obtained as follow:

Length (L) = 16 cm

Width (W) = y =?

Area (A) = 48 cm²

A = L × W

48 = 16 × y

Divide both side by 16

y = 48 / 16

y = 3 cm

What is the sale price of a bottle of olive oil originally priced at $6?

Answers

Answer: While there are plenty of quality options on the shelves that fall between the $15 and $30 range, “trendy” olive oils like Brightland and Fat Gold cost more, at $37 and $44.75, respectively. Some even have price tags in the three digits.

Step-by-step explanation:

I need help with this probability question.

Answers

Answer:

20/total (u can calculate it)

Step-by-step explanation:

Number of dogs/Total number of pets

If there is a 70% chance that it will snow today, what is the percent chance that it
will NOT snow today?

Answers

Answer:

30%

Step-by-step explanation:

100-70=30

Answer:

i dunno 30%?

Step-by-step explanation:

h + 6.3 = −6.3 solve for h

Answers

Answer:

0

Step-by-step explanation:

Hi there!

Let think about this...

-6.3-6.3=h

h+6.3=-6.3

negative plus positive is negative...

h=negative number..

6.3+6.3=12.6 add a negative point=-12.6

Final Result: -12.6

solve 3p+2c is greater or equal to 120 and graph the solution

Answers

Answer:

equal to 120

3p+2c is equal to 120 and graph the solution.

3p+2c is equal to 120 because
3 times 20=60
2 times 30 =60
60+60=120
P=20
C=30

6. At the Winter Olympics, the ratio of Canadian medals to US to Russia was 1:8:5. If Russia won 25
medals, how many did Canada and US won?

Answers

Answer:

Step-by-step explanation:

Let x be the total number of medals won by the Russians.

The way to do this is to add the ratios together

1 + 8 + 5 = 14

(5/14) x = 25

Multiply by 14

5*x = 25 * 14

5x = 350              

divide by 5

70

8/14 = x / 70

14x = 8 * 70

14x = 560

x = 560 / 14

x = 40

The USA won 40 medals.

1/14 = x / 70

14x = 70

x = 5

Canada Won 5 medals.

Check

Russia       Won 25 medals

Canada     Won   5 medals

USA           Won 40 medals

Total 70

Macy makes 15 of 20 free throws at basketball practice. What is the experimental probability that she will miss her next free throw?

Answers

Step-by-step explanation:

she might lose 1/4 of the next free throws

Write the equation of the parabola that has the vertex at point (-2, -2) and passes through the point (-1, -1)

Answers

Answer:

y = (x+2)²-2

Step-by-step explanation:

Use the vertex form y = a(x-h)²+k. Plug in the vertex for h and k. Solve for a and you will get 1 for that value. You can check your answers by plugging in both of those points to make sure.

y=4x-6
2x-3y=8
if this problem is to be solved bye substitution, which is correct step

Answers

Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

ok

find the following square by using the identities
[tex](2xy + 5y) {?}^{2} [/tex]

Answers

Given:

Consider the given square is

[tex](2xy+5y)^2[/tex]

To find:

The value of given square by using the identities.

Solution:

We know that,

[tex](a+b)^2=a^2+2ab+b^2[/tex]            ...(i)

We have,

[tex](2xy+5y)^2[/tex]

Using the identity (i), we get

[tex](2xy+5y)^2=(2xy)^2+2(2xy)(5y)+(5y)^2[/tex]

[tex](2xy+5y)^2=4x^2y^2+20xy^2+25y^2[/tex]

Therefore, the value of given square expression is [tex]4x^2y^2+20xy^2+25y^2[/tex].

what is the answer to 3x + 4y - 2g + s

Answers

there isn't an answer since all the letters are different and you can't add or subtract or do anything to uncommon values. 3x+x = 4x but u can't do 3x +y because they're not in common

What should be the answer for 3 multiplied by x? If x is 9.

Answers

Answer:

27

Step-by-step explanation:

x = 9

3 x 9 = 27

I would really appreciate if someone would help me i don’t understand

Answers

Answer:

D. 48

Step-by-step explanation:

In the experiment, 16/40 landed exactly on heads. If you do 16/40 * 3/3 = 48/120.

This means that you can estimate 48 of the next 120 trials have 2 coins showing heads.

1. What percent of 200 is 0.5?

Answers

Answer:

Step-by-step explanation:

My guess is % 1/400

Answer:

0.5 is 0.25% of 200.

Step-by-step explanation:

1 is 1/200 of 200.

Therefore, 0.5 is 1/400 of 200.

1/400 = 0.0025 = 0.25/100

Therefore, 0.5 is 0.25% of 200.

find the length of x in simplest radical form with a rational denominator

Answers

Answer:

           √3

Step-by-step explanation:

[tex]\cos(30^o)=\dfrac{\sqrt3}2[/tex]

From triangle: [tex]\cos(30^o)=\dfrac x2[/tex]

Therefore:

            [tex]\dfrac x2=\dfrac{\sqrt3}{2}\\\\x=\sqrt3[/tex]

It is equals to 3 I think

HELP!! WILL GIVE 100 POINTS

Complete the following statement.

In 2/3 ÷ 4/5 the___ is 2/3

dividend

quotient

divisor

Answers

Answer:

2/3 is quotient.

Step-by-step explanation:

2/3÷4/5=(2×5)/(3×4)=10/12=5/6

Answer:

quotient

Step-by-step explanation:

If it is a divison problem your answer will be a quotient.

helpppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

lets talk first

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

u just mutilpy 1/52 by 2 = 1/26 by 2 = 1/13 by 2= 2/13 by 2- 4/13

Use the FOIL Method to find (x−4)(x+8).

Answers

Answer:

[tex]x^2 +4x - 32[/tex]

Step-by-step explanation:

By FOIL method, [tex](x-4)(x+8) = x \cdot x + x \cdot 8 + -4 \cdot x + -4 \cdot 8 = x^2 +4x - 32.[/tex]

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