for all positive angles less than 360°, if csc csc (2x+30°)=cos cos (3y-15°), the sum of x and y is?​

Answers

Answer 1

Answer:

35 degrees

Step-by-step explanation:

for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?​

Let the given expression be equal to 1, hence;

csc (2x+30°)= cos (3y-15°) = 1

csc (2x+30°) = 1

1/sin(2x+30) = 1

1 = sin(2x+30)

sin(2x+30) = 1

2x+30 = arcsin(1)

2x+30 = 90

2x = 90-30

2x = 60

x = 60/2

x = 30 degrees

Get the value of y;

cos (3y-15°) = 1

3y - 15 = arccos (1)

3y - 15= 0

3y = 0+15

3y = 15

y = 15/3

y = 5

Sum of x and y;

x+y = 30 + 5

x+y = 35degrees

Hence the sum of x and y is 35 degrees


Related Questions

Halla dos números naturales tales que su suma sea 154,y su cociente, 8/3

Answers

Answer:

→ 11x = 1 232 → x = 112 → y = 154 – 112 = 42 Los números son 112 y 42

An angle measures 27.2° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees.

a+a-27.2=180

2a-27.2=180

2a=207.2

a=103.6, and since b=a-27.2

b=76.4

So one angle is 103.6 degrees and the other is 76.4 degrees.

La finca de Federico tiene tiene un área de 576 m2, En ella ha sembrado naranja y café, 3/8 de la finca están sembrados de naranjas y el resto de café, ¿Cuál es el área de la finca que están sembrada por café?

Answers

Answer:

El área de la finca que está sembrada por café es 360 m².

Step-by-step explanation:

La finca de Federico tiene tiene un área de 576 m². [tex]\frac{3}{8}[/tex] de la finca están sembrados de naranjas. Entonces, el área de la finca que está sembrada por naranjas se calcula mediante:

576 m²* [tex]\frac{3}{8}[/tex] = 216 m²

Sabiendo que el resto de la finca esta sembrada de café, esta área se calcula mediante la diferencia del área total de la finca y el área sembrada por naranjas:

576 m² - 216 m²= 360 m²

El área de la finca que está sembrada por café es 360 m².

What is 2/3 • 3/4 in its most reduced form?

Answers

Answer:

1/2

Step-by-step explanation:

20 students were surveyed about their favorite movie genre. 18 students picked comedy Based on these results predict how many students out of 100 would pick comedy?​

Answers

Answer:

90/100

Step-by-step explanation:

You add 18 for every 20 students until you get to 100.

does anybody know this?

Answers

They made 27 dollars less.

HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

+.5

Step-by-step explanation:

Matthew has $0.72. He wants to buy stickers that cost $0.08 each. How many stickers can he buy?​

Answers

9......
he can buy 9

Answer:

Matthew can buy 9 stickers.

Step-by-step explanation:

0.72 / 0.08 =

72 / 8 = 9

so he can buy 9 stickers

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

50 = -2.5%
Can someone help me with this????

Answers

Answer:

what is the question? like... what is -2.5% of 50?

Step-by-step explanation:

If the question is what is -2.5% of 50?

The Answer is -1.25

Determine the y intercept

Answers

Answer:

The Y intercept adds on +6 every time.

Step-by-step explanation:

Hope this helps! :3

Answer:

(0, 19)

Step-by-step explanation:

Find the equation.

Find the slope:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

22-16/1-(-1) = 6/2 = 3

Here's our equation so far:

y = 3x + b

Find b by plugging in one pair of (x,y) coordinates.

22 = 3(1) + b

22 = 3 + b

b = 19

Now we now the equation:

y = 3x + 19

So, the y-intercept is 19.

Mhanifa please help! Explain how you can use the perpendicular bisector of a segment to draw an isosceles triangle.

Answers

Answer:

If you construct the perpendicular bisector of a line segment, every point on the perpendicular bisector will be the same distance from both point A and point B.

To construct an isosceles triangle, you can start from any point on the perpendicular bisector and draw line segments to point A and to point B

The required steps are in the solution that to use the perpendicular bisector of a segment to draw an isosceles triangle.

What is an isosceles triangle?

An isosceles triangle is defined as a triangle with two sides of equal length.

To use the perpendicular bisector of a segment to draw an isosceles triangle, you can follow these steps:

Draw the segment for which you want to find the perpendicular bisector.

Use a compass to draw a circle with its center at the midpoint of the segment.

With the compass still set to the same radius, draw two arcs that intersect the segment at two points. These points will be the base points of the isosceles triangle.

Draw a line through the midpoint of the segment and the point where the arcs intersect the segment. This line is the perpendicular bisector of the segment.

Use a ruler to draw a line segment connecting the base points of the isosceles triangle.

Use a ruler to draw a line segment connecting the apex of the isosceles triangle (the point where the perpendicular bisector intersects the base) to one of the base points.

At this point, you should have a triangle with two equal sides and a right angle at the apex. This is an isosceles triangle.

Learn more about Isosceles Triangle here:

brainly.com/question/2456591

#SPJ2

Find the value of i^9

Answers

Answer:

The answer is i (i^9)

Step-by-step explanation:

3. 7.NS.1.2
Evaluate the following expression.
2 + (3 – 2 x 2) x 1

Answers

Answer:

Step-by-step explanation:

2 + (3 – 2 x 2) x 1        

This is what I remember, but you need to check this order of arithmetic operations.  

Parentheses first then exponents ( you don't have any) multiplication and division left to right and then addition and subtraction again left to right

2 + (3 – 2 x 2) x 1         so   3 – 2 x 2     equals  3 - 4   which equaltes to  

2 + (-1) x 1                     -1 x 1   =  -1        

2 +  (-1) x 1                     is to clearer to me than  2 + -1 x 1   maybe not

2 +  -1

1                                     it confusing but use your calculator to practice

Pllllz help, brainieledt and 15 points

Answers

Answer:

y=-3/2x+20

Step-by-step explanation:

slope is -3/2 and the y intercept is 20

Find the probability that a randomly selected point within the circle falls in the white area

Answers

Answer:

Step-by-step explanation:

The white area is the area of the circle minus the area of the triangle.

Aw=pr^2-hb/2

Aw=p4^2-6.5(6)/2

Aw=16p-19.5

The probability of selecting the white area is the white area divided by the area of the circle

P(W)=(16p-19.5)/(16p), p=3.14

P(W)=0.61

pam is 17 years old and her sister is 9. her two brothers are 11 and 7 years old. what is the mean of their ages

Answers

Answer:

11

Step-by-step explanation:

17+9+11+7 divided by 4

because the mean= sum of the terms divided by the number of terms

the sum= 17+9+11+7=44

the number of terms= 4

44 divided by 4= 11

Answer:

(17+9+11+7) / 4 mean is an average

it is equal to the sum of the elements divided by the number of elements

the sum is 44

the number of elements is 4

the mean is the average= 44/4=11

Step-by-step explanation: i dont know why they would ask that

please help!! i’ll mark brainliest! thank uu

What is the volume of this triangular pyramid?

Answers

Answer:

I believe the answer would be 24

Step-by-step explanation:

Jessie walked 4 miles. How many feet did she walk?

Answers

Answer:

?

Step-by-step explanation:

Answer: 21120

Step-by-step explanation: look up 4 miles to feet

pls help meeeee....zzzz

Answers

Answer:

I think its a or b? But I think mostly a, sorry if I'm wrong

The answer is D:3,4,5

What is the slope of the line that passes through the points (5,−4) and (7, -4) ?Write your answer in simplest form.

Answers

Answer:

Undefined

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Slope of the line

[tex] =\frac{ - 4 - ( - 4)}{7 - 5} \\ =\frac{ - 4 + 4}{2} \\ = \frac{0}{2} \\ (undefined)[/tex]

Thus, the slope of the line is undefined.

(Since 2 cannot be divided by zero)

Notice that the two coordinates have the same y- coordinate of -4. This means that the line is a vertical line. Vertical lines have undefined slopes.

polygon ABCD is dilated using a scale factor of 6/5 to produce polygon A'B'C'D with the origin as the center of dilation.

Answers

Answer:

the answer is A

Step-by-step explanation:

Martin likes to make flower bouquets that have 333 daffodils and 444 tulips per vase. A daffodil has a mass of ddd grams, a tulip has a mass of ttt grams, and the vase has a mass of vvv grams.
The expression 5(3d+4t+v)5(3d+4t+v)5, left parenthesis, 3, d, plus, 4, t, plus, v, right parenthesis describes the mass of 555 bouquets.
Match each amount in the situation with the expression that represents it.
Situation
Expression

Answers

Answer:

Answer:

Mass of a bouquet  = v + 3d + 4t

Step-by-step explanation:

Mass of daffodil = d gm

Mass of Tulip = t gm

Mass of vase = v gm

Mass of a bouquet = mass of vase + Mass of 3 daffodils + Mass of 4 tulips

=> Mass of a bouquet  = v + 3d + 4t

Flower bouquet weight = v + 3d + 4t

Answer:

Step-by-step explanation:

Situation Expression

Number of bouquets 555

Mass of one bouquet 3d+4t+v

Mass of the tulips in one bouquet   4t

Mass of the daffodils in one bouquet   3d


How many groups of 1/2 day are in 1 week? Use a multiplication or division equation to explain your answer

Answers

Answer:

14

Step-by-step explanation:

you need to do 1 week divided by 1/2 so 1 week is 7 days.7 divided by 1/2 is basically 7*2 =14

PLS HELP WITH BOTH SCREEN SHOTS I WILL MARK BRAINLIEST

Answers

Answer:

Answer 1. 3in

Answer 2. 0.875in

Answer 3. 26 miles

Answer 4. 7.67in

Step-by-step explanation:

Answer 1. We know that 2 feet in real life is going to equal 1 inch, so since the person is 6 feet, we divide that by 2 to get 3. So the action figure is going to be 3in.

Answer 2. In this case, we see that 1 foot is equal to four inches. That must mean that 1 inch is equal to a quarter foot. So we just multiply

0.25 x 3.5 = 0.875

The length is 0.875 feet

Answer 3.

We know that 1 inch = 6.5 miles, and there are 4 inches on the map, so we have to multiply 6.5 x 4 to find out how many miles there is.

Answer 4.

To find this one out, we have to divide 9 into 69. That gives us 7.67. So 69 nautical miles would be equal to 7.67 inches on the map

Hope this helps you out :)

Answer:

ty

Step-by-step explanation:

36% of the members in a gym are females. There are 252 female gym members
a .
How many members are there altogether in the gym?​

Answers

Answer:

700members

Step-by-step explanation:

36%=252

100%=?

100×252/36

=700

Answer:

700 members in the gym

Step-by-step explanation:

Ind the volume of a pyramid with a square base, where the side length of the base is 15.3\text{ m}15.3 m and the height of the pyramid is 19.6\text{ m}19.6 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

1,487.3m³

Step-by-step explanation:

Volume of a square based pyramid is expressed as;

V = BH/3

B is the base area

H is the height of the pyramid

Since the side length of the base is 15.3m;

Base area = L²

Base area = 15.3²

Base area = 234.09m²

Height of pyramid = 19.6m²

Get the volume

Volume of the square based pyramid = (234.09*19.6)/3

Volume of the square based pyramid =1,487.3m³ (to the nearest tenth)

Anybody know? Need help

Answers

Answer:

option c is the correct answer

Answer:

C consecutive angle

Step-by-step explanation:

what's


[tex] \sqrt{24 + 9 - 8} [/tex]

Answers

Answer:

answer is '8'

Step-by-step explanation:

understand friend

Toni bought 5 t-shirts for 35 if each T-shirt cost the same amount .how much tony would pay for20 shirts 

Answers

Answer: The answer is Toni can buy 20 tee shirts for 140 dollars

Step-by-step explanation:

First you find out how many times 5 can go into 20

Next you see that 5 can go into 20, 4 times so you take the 35 and multiply 4 and you get 140 so you can buy 20 tee shirts for 140 dollars.

If EBCD is a parallelogram, EB = 16, ED = 25, BF = 11, EC = 34, mZBED = 55°, mZCDB = 67°,

and mZBCE = 24º, find each missing measure.

B

с

BC =

mZEDC =

BD =

mZEBD =

F

FC =

E

D

mZBEC =

mZDBC =

CD =

Answers

Answer:

1. BC = 25

2. m∠EDC = 125°

3) BD = 22

4) m∠EBD = 67°

5) FC = 17

6) m∠BEC = 24°

7) CD = 16

8) m∠DBC =  58°

Step-by-step explanation:

The dimensions of parallelogram EBCD are;

EB = 16, ED = 25, BF = 11, EC = 34, m∠BED = 55°, m∠CDB = 67°

1. BC = ED = 25 Opposite sides of a parallelogram are equal

2. m∠BCD = m∠BED = 55 opposite angles of a parallelogram are equal

m∠BCD + mEDC = 180° adjacent sides of a parallelogram are supplementary

m∠EDC = 180° - m∠BCD

∴ m∠EDC = 180° - 55° = 125°

m∠EDC = 125°

3) BD = BF × 2 Diagonals of a parallelogram bisect each other

∴ BD = 11 × 2 = 22

BD = 22

4) m∠EBD = m∠CDB = 67° from alternate angles between parallel lines

5) FC = EC/2 from diagonals of a parallelogram bisect each other

∴ FC = EC/2 = 34/2 = 17

FC = 17

6) m∠BEC = m∠BCE = 24° Alternate angles between parallel lines

m∠BEC = 24°

7) CD = EB = 16 Opposite sides of a parallelogram are equal

8) m∠EBC = m∠EDC = 125° from opposite angles of a parallelogram are equal

m∠DBC + m∠EBD = m∠EBC from angle addition postulate

∴ m∠DBC = m∠EBC - m∠EBD

m∠DBC = 125° - 67° = 58°

m∠DBC =  58°

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