If sin A = cos B and the measure of angle A is 1.5 times the measure of angle B, find the measure of angle A

Answers

Answer 1

Answer:

[tex]A = 54[/tex]

Step-by-step explanation:

Given

[tex]\sin A = \cos B[/tex]

[tex]A=1.5B[/tex]

Required

Find A

If [tex]\sin A = \cos B[/tex]

Then:

[tex]A +B = 90[/tex]

Substitute [tex]A=1.5B[/tex] in [tex]A +B = 90[/tex]

[tex]1.5B + B = 90[/tex]

[tex]2.5B = 90[/tex]

Solve for B

[tex]B = \frac{90}{2.5}[/tex]

[tex]B = 36[/tex]

Substitute [tex]B = 36[/tex] in [tex]A=1.5B[/tex]

[tex]A = 1.5 * 36[/tex]

[tex]A = 54[/tex]


Related Questions

what number should come next in the pattern 1,2,3,5,8​

Answers

Since you add 1+1 that equals 2 when it starts then 1+2 that equals 3 then 2+3 equals 5.
So that means 5 plus 8 equals 13.
It’s a simple pattern.

What is m∠1? Help me, please

Answers

Answer:

∠1 = 72°

Step-by-step explanation:

exterior ∠ = the sum of two opposite(remote) interior ∠s

∠1 = 37° + 35°

=> ∠1 = 72°

Answer:

72 degrees.

Step-by-step explanation:

Angle 1 is one of the triangle's exterior angles. The exterior angle theorem states that the measure of a triangle's exterior angle is equal to the sum of the opposite interior angles. Therefore, m<1 is equal to the sum of 35 and 37:

35+37=72

m<1 = 72 degrees

I hope this helps!

A bag holds 2 red and 7 blue marbles. What is the probability of not selecting a red marble?
2/7
O a
Ob
7/2
2/9
Od
779

Answers

I think it’s b(not sure)

[tex]\frac{33}{4-\sqrt{5} }[/tex]

Answers

The answer I got was: 12 + 3/5

Sorry I didn’t have that symbol thing on my phone so i had to use a slash.
Hope this helps :)

Calculate the size of the exterior angles of a regular polygon which has interior angles of:175⁰

Answers

Answer: 5

Step-by-step explanation: 180-175=5

At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.

Answers

Answer:

.........................

Step-by-step explanation:

.................................................

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 3 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.

About 68% of data lies within one standard deviation from the mean.

About 95% of data lies within two standard deviations of the mean.

About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

`

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

hope this helps

plz can i get brainliest:)

Which number has the greatest value?
A 7.8 x 10-3
B 1.3 x 10-6
C 5.5 x 10-3
D 9.5 x 10-2

Answers

Answer:

D 9.5 x 10^-2

Step-by-step explanation:

D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2

The height of a cylinder is twice the radius of its base

Answers

Answer:

2πr³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ← r is the radius and h the height

Here h = 2r, hence

V = πr² × 2r = 2πr³

Answer:

yes

Step-by-step explanation:

What is the figure shown below?
N
м.
A...line
B..line segment
C..ray

Answers

Answer:

c its Ray I looked on goggle and I looked up Ray and it showed a picture of that

Answer:

Its a ray I didnt need to look it up cause I alr did this before

Find the median:
5, 6, 3, 9, 0, 4, 1, 2, 7

a
4

b
5

c
4.1

d
4.3

Answers

Answer:

A

Step-by-step explanation:

The median of 5, 6, 3, 9, 0, 4, 1, 2, 7 is 4

How to determine the median?

We have:

5, 6, 3, 9, 0, 4, 1, 2, 7

Rearrange the dataset in ascending order

0, 1, 2, 3, 4, 5, 6, 7, 9

The median is the middle value, and the middle value in the above dataset is 4

Hence, the median of 5, 6, 3, 9, 0, 4, 1, 2, 7 is 4

Read more about median at:

https://brainly.com/question/14532771

#SPJ6

HELPP WORTH 30 Pts for all plz plz plz help

Answers

Answer:

1. 2ft

2. 8yd

3. 144in

4. 0.5ft

5. 18ft

6. 2640ft

7. 5280yd

8. 4.5ft

9. 4yd

10. 90in

11. 36in=3ft

p=4+5+3=12

12. 3ft=36in

2ft=24in

p=24+24+12+12+36=108

3/4x-1 1/2x+7
23
32
46
92

Answers

Answer:

92 is your answer

Step-by-step explanation:

we have

3x/4-1=x/2+7 side of square are equal

3x/4-x/2=7+1

(3x-2x)/4=8

x=8×4=32

length =3×32/4 -1=24-1=23

now

perimeter=4×length=4×23=92 units

Answer: The perimeter of the square is 92 units.

Step-by-step explanation:

All four sides of a square are equal. Set the given values 3/4x - 1 and 1/2x + 7 equal to one another. It should like this: 3/4x - 1 = 1/2x+7. The next step is solving for x. We get x = 32 as our answer. See the image of the work below if you are confused. :)  Next, plug in this answer to the original equations: 3/4x-1 and 1/2x+7.

3/4(32) - 1 = 23

1/2(32) + 7 = 23

After basic substitution, we will conclude that each side of the square is 23 units long. To find perimeter use the equation 4s (let s represent sides). 4(23) = 92 units. Hope this was helpful!

49
19) =
112



6
6) =
9

12
7) =
15


63
13) =
77

36
14) =
40





4

240
20) =
320

120
21) =
150

Answers

Answer: 120/21=40/7

49/19

240/20=12/1

36/14=18/7

63/13=63/13

12/7=12/7

6/6=1/1

Step-by-step explanation:

a diagonal walkway cuts through a park bordered by two parallel streets. the parks department plans to add an additional walkway as indicated by the dashed line segment in the figure​

Answers

Answer:

42

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x = 112

Step-by-step explanation:

1/8x + 2 = 16

Subtract 2 from both sides

1/8x = 14

Multiply both sides by 8

x = 112

What is the measure of z?
Angles are not necessarily drown to scale.
B
156°
А
0
0

Answers

Answer:

The missing angle is 24 degrees

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

x+156 = 180

Subtract 156 from each side

x+156-156 = 180- 156

x = 24

The missing angle is 24 degrees

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

27

Step-by-step explanation:

V=a^3=3^3=27

Here are three intersecting lines. Write an equation that represents a relationship between these angles. Describe, in words, the process you would use to find .

Answers

Answer:

[tex]w = 52[/tex]

Step-by-step explanation:

Given

See attachment for intersecting lines

Required

Find w

Using the horizontal line as a point of reference, the blank angle between w and 76 equals w.

This is so because it corresponds to angle w, at the bottom of the horizontal line.

So, to find w, we make use of:

[tex]w + w + 76 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]w + w = -76 + 180[/tex]

[tex]2w = 104[/tex]

Solve for w

[tex]w = \frac{104}{2}[/tex]

[tex]w = 52[/tex]

does anyone know the answer?

Answers

Answer:

E

Step-by-step explanation:

Answer:

It's E l did that before

What is the first step to solve this equation:
11 - 3x = 44

Question 3 options:

Add 3 to both sides


Add 11 to both sides


Subtract 11 from both sides


Divide 3 on both sides.

Answers

The first step to solving this equation is subtracting 11 from both sides.

HELP!!!! Put the following in order from greatest to least.

Answers

Answer:

A

Step-by-step explanation:

A = 9, 7, 5, -2, -6, -8

3. Suppose the radius of the larger circle is r. What is its diameter?
d2 =
R2

Answers

Answer:

2r

Step-by-step explanation:

You suppose that the radius of a larger circle = r

so diameter = r*2 = 2r

aint really sure tho

Answer:

2R

Step-by-step explanation:

The formula to find the diameter states the relationship between the diameter and the radius. The diameter is made up of two segments that are each a radius. Therefore, the formula is: Diameter = 2 * the measurement of the radius. You can abbreviate this formula as d=2r.

What is the measure of FBC?
Type your response below

Answers

Answer:

150

Step-by-step explanation:

Since EC is 180,

180-30=150

BRAINLIEST plus 30 points IF NO LINKS!
PLZ HELP!

Answers

The answer is quite simple just multiply the three to the floor and you’re basically the whole answer is just to write the line

Answer:

3 is A 2 is 7 or around 32 and then 1 you gotta figure it out.

Step-by-step explanation:

This may not be correct but hopefully it is..

Can someone help me I’m stuck and I don’t get it

Answers

Answer:

The first one (highlighted one)

Step-by-step explanation:

The answer is the one selected. When multiplying and subtracting numbers, you do the combination that is multiplying before you subtract-unless there are numbers in parenthese. You work parentheses first. In all of the other options, you are multiplying first so not subtracting from 3. For example  the second option, you would multiply 4x7 BEFORE you subtract from 3 which doesn’t work. You are also multiplying first in options 3 and 4.

I have the answer I just have this one question. Will all the paint fit into the bucket?


There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow?

Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.

Answers

Answer:

brandon

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of  pints of yellow color become  pint, in which the ampunt of yellow color is  pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.

What is the gradient of the line that passes through the points (0,0) and (3,3)?

Answers

Answer:

1

Step-by-step explanation:

the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as

rise/run

or

change in  y value/change in x value

or

(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).

We have two coordinates (0,0) and (3,3)

Therefore,

x1 = 0, y1 = 0

x2 = 3, y2 = 3

If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]

Which is larger? Convert to a decimal using long division. please show your work!!

Answers

Answer:

1.255

Step-by-step explanation:

10^-1 equals 0.1

1÷8=0.125

so our greatest one is 1.255

Find the surface area. Urgent!

Answers

Answer:

306 cm²

Step-by-step explanation:

Sorry if this is wrong doing mental math

Two functions are described below

·Function 1: y is defined as a function of x by the equation y = 3 - 3x/5.

·Function 2: y is defined as a linear function of x by the table:

X Y
-5 12
-1 7.2
2 3.6
8 -3.6


Which statement is true?

A. The y-intercept of Function 2 is half the y-intercept of Function 1.
B. The y-intercept of Function 1 is half the y-intercept of Function 2.

Answers

Answer:

The answer is B

Hope this helped ;)

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