solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2​

Answers

Answer 1

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165


Related Questions

ANSWER FAST!

The table shows the linear relationship between the number of right tickets purchased and the total cost of admission plus ride tickets at a carnival. which function can be used to find y, The total cost of attending the carnival in purchasing x ride tickets?

A. Y= 25x +8
B. Y= 8x + 25
C. Y= 8x+ 0.25
D. Y= 0.25x + 8​

Answers

Answer:

c

Step-by-step explanation:

Which of the following can you use to find 20 percent of 48

1. 002(48)
2. 02(48)
3. 2(48)
4. 20(48)

Answers

Answer:

It's number 2

Step-by-step explanation:

20% of 48 is 9.6

HELP ASSAP I need help on this question​

Answers

Answer:

X= 1, 2, 3, 4, 5

Y= 10, 20, 30, 40, 50

Step-by-step explanation:

hope this helps please press the pink "thanks" button

The volume of this cylinder is 1751 cubic units. What is the volume of a cone that has the same base area and the sam height

Answers

Answer:

[tex]V_2 = 583.67[/tex]

Step-by-step explanation:

Given

Represent the volume of the cylinder with V1 and the cone with V2.

So:

[tex]V_1 = 1751[/tex]

Required

Find V2

The volume of a cylinder is:

[tex]V_1 = \pi r^2h[/tex]

Because the cone and the cylinder have the same base area and height, the volume of the cone is:

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

Substitute [tex]V_1[/tex] for [tex]\pi r^2h[/tex].

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

[tex]V_2 = \frac{1}{3}V_1[/tex]

Substitute 1751 for V1

[tex]V_2 = \frac{1}{3} * 1751[/tex]

[tex]V_2 = \frac{1* 1751}{3}[/tex]

[tex]V_2 = \frac{1751}{3}[/tex]

[tex]V_2 = 583.67[/tex]

The volume of the cone is 583.67 cubic units

thank yousm if you can help

Answers

Answer:

A

Step-by-step explanation:

To move something up or down, it means we're moving along the y-axis. So we need to change the y-coordinate.

To move it up, we'll be moving towards the positive end of the y-axis. On a coordinate plane, if you move anything "up," you're moving closer to the positive end of the y-axis.

To move it five units up, we need to move 5 units positively.

So our y is:

y + 5

To move something left or right, it means we're moving it along the x-axis. So we need to change the x-coordinate.

To move it left, we'll be moving it towards the negative end of the x-axis. Think about it: on a basic number line (which is what the x-axis is), the more you move towards the left, you move closer to 0, and therefore the negative end.

To move it 2 units left, we need to move 2 units negatively.

So our x is:

x - 2

Putting them together, we have:

(x, y)

(x - 2, y + 5)

Write an inequality that matches the graph.

A number line from zero to ten is shown. A ray extends to the left from a closed circle at six.

Answers

Answer:

[tex]x \leq 6[/tex]

Step-by-step explanation:

because the ray travels left, x has to be lower than 6, and since it is a closed circle, means that 6 is included in the answer, so x is less than or equal to 6.

If you help I will give you brainliest

Answers

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).

The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.

The total time is the sum of times for the two parts of the trip: walking and riding.

  walking time = walking distance/walking speed

  = w/3

  riding time = riding distance/riding speed

  = (20-w)/30

The total time is that given above:

  w/3 +(20-w)/30 = 13/6

  10w +(20 -w) = 65 . . . . . . . . multiply by 30

  9w = 45 . . . . . . . . . . . . subtract 20, collect terms

  w = 5 . . . . . . . . . . . divide by 9

The girl walked 5 miles.

A medical clinic asks all of its patients to complete a quick survey after each appointment. Patients are asked to rate their experience on a scale of 1 to 10, with 1 representing a very poor experience, and 10 representing an excellent experience. The surveys are separated into categories based on age. Then, each month, a random sample of 10 surveys are gathered from each age category. The results of this month's random samples of the 40-60 age group and the 60+ age group are shown below.

40 - 60 2 6 5 5 3 7 3 9 1 4
60+ 4 8 7 10 3 6 5 8 9 5
The mean rating of the 40-60 group is two points _____
than the mean rating of the 60+ group. This difference is about ______
the variability of either group.

Answers

Answer:

A. Lower

B. Half

Step-by-step explanation:

Answer:

1. Lower and 2. Half

1/3 divided by 3 1/2

Answers

Answer:

2/21

Step-by-step explanation:

Write an expression showing 5 less than the number .

Answers

Answer:

if the number is anything then I pick 10 so 5 because 10 - 5 = 5 I guess lol

Step-by-step explanation:

Answer:

k-5

Step-by-step explanation:

An equation is shown below:

8(2x − 14) + 13 = 4x − 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Explain the parts please and i will give brainliest the best best explained one.

Answers

Answer:

x = 6

Step-by-step explanation:

8(2x − 14) + 13 = 4x − 27

solve everything in parentheses

16x - 112 + 13 = 4x - 27

subtract 4x from each side of the equation

16x - 4x - 112 + 13 = 4x - 27 - 4x

reduce

12x - 112 + 13 = -27

combine those known numbers

12x - 99 = -27

add 99 tooth sides of the equation

12x - 99 + 99 = -27 + 99

reduce

12x = 72

divide both sides by 12

12x / 12 = 72 / 12

reduce

x = 6

HELP guys i need extra to pass in my school and i am still failing by three points please i cant get it up on my own Madison has $6.50. Potatoes are $0.50 per pound. How many pounds of potatoes can Madison afford to buy?

In two or more complete sentences write and solve an inequality for this situation. Explain how you would solve this inequality.

Answers

Answer:

0.5p < 6.50

p < 13

Step-by-step explanation:

The inequality would be p < 13. Since Madison can't spend more than 6.50, the cost of potatoes would need to be less than 6.50. To solve the inequality, you would have to divide both sides by 0.5, giving you p < 13.

Answer:

Madison can buy 13 pounds of patatoes.

Step-by-step explanation:

You have to divide 6.50 by 0.50, but in order to do that you have to move the decimal on both sides two times to the right then you can divide. Then to double check you muliply 13 by 50.


5th grade math. Correct answer will be marked brainliest.

Answers

start with 1 ones, 8 tens, and 6 hundredths

Solve the following inequality for w 8w+8>-10w-5

Answers

Answer:

Step-by-step explanation:

8w+8 > -10w-5

18w + 8 > -5

18w > -13

w > -13/18

I need help with this problem

Answers

You know you can use Photomath or cythmath ??
If that radius =4
Then diameter=8

So the square will be 32
Because 8*4(side of square)=32


I’m not sure :)

Stella is writing an essay. She writes 2 pages in 16 minutes. The number of pages represented by p and time is represented by t. [2 points]



Part A) Fill in the table below.

Pages (p) Time (t)
2 16
(a) 32
5 (b)

Answers

Answer:

I think the answer is 32

Step-by-step explanation:

if you multiply 16×2 it will equal 32

-2x-4=16
Show each step of your work.

Answers

Answer:

x= -10

Step-by-step explanation:

PEMDAS

First you multiply- -2x?

You don't know what x is so you subtract 4 for 16

16-4=12

2-12= -10

NEED HELP WITH GEOMETRY

Answers

Answer:

m<1 = 76°

m<2 = 76°

m<3 = 49°

Step-by-step explanation:

✔️m<1 = 180 - (47 + 57) (sum of triangle)

m<1 = 76°

✔️m<2 = m<1 (vertical angles are congruent)

m<2 = 76° (substitution)

✔️m<3 = 180 - (55 + m<2) (sum of triangle)

m<3 = 180 - (55 + 76) (substitution)

m<3 = 49°

You have 18 pencils.

Seven pencils fit in a pencil case.

How many cases do you need to hold all of your pencils?

Answers

Answer:

you need three pencil cases to hold all of your pencil

Answer:

3

Step-by-step explanation:

18 = 7 +7 + 4

Since each box can carry 7 pencils, we need three to hold all of them.

Hope this helps!!

17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
Whe

Answers

Answer:

D All positive integers are rational numbers.

Step-by-step explanation:

Integers are rational numbers

Priya has a recipe for banana bread. She uses 10 cups of flour to make 2 loaves of banana bread. How much flour does Priya need to make 1 loaf of banana bread

Answers

5 cups of flour to make one loaf

I need help with this problem if anyone can help ASAP please help !

Answers

Answer:

42

Step-by-step explanation:

Which statement is NOT true of the equation y = 0.5x?

a. The value of y is one-half times the value of x.
b. The equation represents an additive relationship.
c. The value of y is 4 when the value of x is 8.
d. The equation represents a multiplicative relationship.

Answers

Answer:

it would be C do to the fact that 0.5 x 8=4

7. The school librarian orders 35 new
books each year. How many new
books did the librarian order in the
past 12 years?

Answers

Answer:

420

Step-by-step explanation:

35x12

Given that f(x) = 2x - 5, find the value of x that makes f(x) = 15.
а
5
b
10
20
Od
25

Answers

B) 10
if you plug in 10 for x it will make you multiply 2 time 10 which gives you 20 then subtract 5 which gives you 15

Answer:

When x=10 f(x) is equal to 15

Step-by-step explanation:

Just substitute the two equations, 15=2x-5 -> 20=2x -> x=10.

D
А
A
10
ол |
3
сл| -
alw

Answers

Answer:

1/5 is the answer eeeeeeeeeeeeee

B. 1/5
I’m pretty positive that’s the answer

(t−6)^2 t = 11 What is the answer please.

Answers

Answer:

25

Step-by-step explanation:

t = 11, so let's put 11 in place of t in the equation.

(11-6)^2

PEMDAS tells us parenthesis first, so let's do that.

(5)^2

Now let's square it.

5*5=25

So there you go, 25 is your answer :)

Bill- Subtotal: $34.95 Tip: 15% (Find 15% of 34.95)

Answers

Answer:

I believe that 15% of 34.95 would be 5.24

Step-by-step explanation:

Help its pre-algebra haha help plz

Answers

Answer:

8 ramen bowls

4 pho bowls

Step-by-step explanation:

12-4=8

Me. Strand mowed 3/8 of his lawn. His son mowed 1/3 of it. Who mowed most of the lawn? How mush of the lawn still needs to be mowed?

Answers

3/8 * 3/3 = 9/24
1/3 * 8/8 = 8/24

So strand mowed more of the lawn.

9/24 + 8/24 = 17/24

24/24 - 17/24 = 7/24 of the lawn left
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