The question is down below.
AB=

Answer:

22.5°

Step-by-step explanation:

We know that the measure of straight line is 180° . Therefore the sum of all angles will be 180° .

⇒ 90° + x + 3x = 180°

⇒ 90° + 4x = 180°

⇒ 4x = 90°

⇒ x = 90°/4

⇒ x = 22.5°

Hello!

This is a question relating trigonometric ratios and a missing angle.

Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.

I'll be using the sine ratio for this problem.

The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.

Meaning the following equation could be set up.

[tex]sin(\theta)=\frac{45}{75}[/tex]

Now, we can just solve for theta.

[tex]\theta=sin^{-1}(\frac{45}{75})[/tex]

Make sure you're in degrees when you're solving this problem.

[tex]\theta=36.870[/tex]

Hope this helps!

Answer:

137/1000

Step-by-step explanation:

Because we have 3 numbers after 0....

hope it helps

Answer:

(x−2)^2+(y+1)^2=26

Step-by-step explanation:

https://socratic.org/answers/456712

Answer:

a) 341

b) 7243

c) 11018

d) 33000

Answer:

You can reject the null at the 10% and 5% level of significance, but cannot reject the null at the 2%, or 1% level of significance. ( D )

Step-by-step explanation:

let : P = 0.6

x = 135 , n = 200

p = 135 / 200 = 0.675

H0 : P = 0.6

Ha : P ≠ 0.6

performing the test statistic = ( 0.675 - 0.6 ) / [tex]\sqrt{\frac{0.60(1-0.60)}{200} }[/tex]

= 0.075 / 0.0346 ≈ 2.17

p-value = 2 * P ( Z > - 2.17 )  ( using excel function ; NORMSDIST )

            = 2 * 0.015  = 0.03  

Answer:

4) 24

Step-by-step explanation:

OA = OB = 7 ( radius )

OP = OB + BP

= 7 + 18

OP = 25

In triangle OPB,

By Pythagoras theorem,

( OP )² = ( OA )² + ( AP )²

( AP )² = ( OP )² - ( OA )²

= 25² - 7²

= 625 - 49

( AP )² = 576

AP = 24

Answer:

your answer will be 24

Step-by-step explanation:

∠OAP=90°

OA=OB=7

[tex]OA^{2} +Ap^{2} =OP^{2} \\\\7^{2} +Ap^{2} =(7+18)^{2} \\\\Ap^{2} =25^{2} -7^{2} =576\\\\AP=\sqrt{576} =24\\\\Ap=24[/tex]

hope it helps

have a great day!!

Answer:

Slope= 1/3

y-int: -1

Step-by-step explanation:

Answer:

18.457

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

your answer is 5 hope it help

Answer:

Step-by-step explanation:

The answer is D, the function approaches 1 as x approaches +- infinity. We can divide each term by x^2. We will get the following:

[tex]\frac{1-4/x^2}{1-9/x^2}[/tex]

as x goes to infinity, the -4/x^2 and -9/x^2 go to 0. To the equation just becomes 1/1. So the answer is 1.

Answer:

-1.52

-0.990 radians

No

2.15 radians

Step-by-step explanation:

The slope is equal to the y-coordinate/x-coordinate = -32/21 = -1.52

Then, tan^-1(m)=tan^-1(-32/21)=-0.990 radians

This does not give the correct value of theta, however.

The correct value of theta is tan^-1(-32/21)+pi=2.15 radians

Answer:

C

Step-by-step explanation:

Coterminal angles are angles that have a common terminal side.

So, given an angle θ, its coterminal angles will always be ±360°. This can be repeated.

We have a 645° angle.

Therefore, all values of the equation:

[tex]645\pm 360n[/tex]

Where n is an integer is coterminal with our original angle.

Letting n = 1 and using the negative case, we acquire:

[tex]\Rightarrow 645-360=285[/tex]

Therefore, an angle measuring 285° is coterminal with a 645° angle.

None of the other options can be reached by adding/subtracting 360.

Therefore, our answer is C.

Answer:

Add the picture please :) i will go on your page and answer when you add the image. Remember to always double check if you have the image clipped on whenever you ask something that needs an image, thank you.

Answer:

Minor Arc: AE, FA

Semicircle: AEB, FDE

Major Arc: FED, BDF

Step-by-step explanation:

Required

Classify base on the type or arc

Keynote

Minor arcs are less than 180 degrees

Semicircle are equal to 180 degrees

Major arcs are less than 180 degrees

Using the above keynote, we have the following observation

AE: Minor

AEB: Semicircle

FDE: Semicircle

FED: Major

FA: Minor

BDF: Major

Answer:

Angle #1: 115°

Angle #2: 64°

Angle #3: 90°

Angle #4: 106°

Angle #5: 165°

Step-by-step explanation:

you subtract the ones that give you the exterior angle by 180 because it is a supplementary angle. that means that both angles add up to 180. the little square next to angle three means its a right angle. this means it is exactly 90°. the last angle is a little tricky. you need to add up all the angles you have and then you if you get 540 then your answer is correct because all interior angles of a pentagon must add up to 540.

Hope you have a great day and I hope this helped you out!

<3 :- )

Answer:

-15

Step-by-step explanation:

Answer:

Irrational number

Step-by-step explanation:

√2 is an irrational number.

So, when a integer or rational number is added to irrational number, we will get irrational numbers

2 + √2 is an irrational number.

Answer:

Y = - x + 4

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

10^2 + 26 ^ 2 = 776

28^2 = 778.

since 776 is less than 778, it is an acute triangle, not right.

Answer:

D is the answer

Step-by-step explanation:

Answer: 11,921,360

Step-by-step explanation:

Answer:

Gay?

Step-by-step explanation:

Answer:

128 = 35x + 18y

Step-by-step explanation:

total = 35(MP3) + 18(DVD)

128 = 35x + 18y

Answer:

6x

Step-by-step explanation:

there's no specific method just follow times table

Answer:

264

Step-by-step explanation:

(251 + 277) / 2 = 264

Answer:

x = 30 degrees

Step-by-step explanation:

a triangle's angles should all add up together to 180 degrees. Since a right angle is 90 degrees then you have your 60 degree angle that only leaves 30 degrees left.

Answer: A and C

Step-by-step explanation:

A is right because it’s right triangle since it has a right angle. C is also right, x=30 because we have 60 degrees and 90 degrees. 60 plus 90 is 150 and a triangle is equal to 180 degrees 180-150 is 30

Answer:

Step-by-step explanation:

I've enclosed a graph to show you that there is one solution.

-4x + 3y = - 12

- 2x + 3y = - 18           Subtract

-2x = 6                        Divide by - 2

-2x/-2 = 6/-2

x = - 3

- 4x + 3y = - 12

-4(-3) + 3y = - 12

12 + 3y = - 12

3y = - 12 - 12

3y = - 24

3y/3 = - 24/3

y = - 8

Which is exactly what the graph shows.

You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.

It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.

The y's are the same so you are 1/2 way home in saying what you did.

The x's are different so that means you have at least 1 solution.

Answer:

12p=48

Step-by-step explanation: