the terminal point of θ is sqrt3/2/1/2. what is sin θ?
A) sqrt 3
B) sqrt3/2
C) 1/2
D) sqrt3/3

Answer:

D

Step-by-step explanation:

The distance between point C and the y axis is 2 units

The distance between point A and the y axis is 9 units

2<9

D

Answer:

its d, point c is closer to the y-axis than point a

Step-by-step explanation:

The wire is attached to the pole at 18 root3 ft high.

We have given that,

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.

This is a right triangle formed of which hypotenuse is

h=36ft.

Angle is θ=60degree

Let P be the height of pole.

[tex]\frac{Opposite\ side}{hypotenous}[/tex]

then, sin60=P/H or root3/2=P/36

P=36√3/2

or

P=18√3ft.

The wire attached to the pole at P=18√3ft.

To learn more about the pole visit:

https://brainly.com/question/1302818

#SPJ1

VW = 6

hope it helps...!!!

Answer:

raju is 20 years old while the father is 40 years old

Step-by-step explanation:

present : lets assume raju is x years old so the father will be 2x

after 10 yrs raju will be x+10 yrs while the father will be 2x+10 yrs

therefore :

(x+10)+(2x+10)=80

liketerms together

x+2x+10+10=80

3x+20=80

3x=80-20

3x=60

simplify

x=20 so raju is 20 years old now and the father since he is twice the age of his son he is 40 years old

Answer:  A 12 vertices

i got a 100 on unit test on edge

Step-by-step explanation: because a polyhedron that consist of 6 squares and 8 triangle and has 24 edges is a Cuboctahedron which has 12 vertices

https://en.wikipedia.org/wiki/Cuboctahedron

Answer:

12

Step-by-step explanation:

edge 2023

Answer:

3

Step-by-step explanation:

4f-3 = 5f-6

First I would try to get the f's on one side and the other numbers on the other, to do this you woudl have to add 6 to both sides

4f -3 = 5f -6

  +6         +6

Making it into: 4f + 3 = 5f

Now to get the 4f on the other side we will have to subtract it from both sides

4f +3 = 5f

-4f         -4f

3= f  (Remember you do not have to put the 1, making 3 your answer)

Answer:

17.2 to the nearest tenth.

Step-by-step explanation:

Use the Pythagoras theorem

If x is the length of the ladder:

x^2 = 14^2 + 10^2

x^2 = 296

x = √296 = 17.2047

Answer:

344 ft

Step-by-step explanation:

This is the equation for a dome shaped parabola

The TIME of the highest point is found by  

   t = - b/2a = - 144/(2 * -16) = 4.5 sec

Sub this value of t into the equation to find max height = 344 ft

Answer: 6.56

Step-by-step explanation:

Here are the detailed math steps we use to convert 6 5/9 mixed number to decimal form:

6 × 9 = 54

54 + 5 = 59

59 ÷ 9 = 6.555556

That's it folks! The answer to 6 5/9 in decimal form is displayed below:

6 5/9 ≈ 6.56

Answer:82

Step-by-step explanation:

90 + 90 × 10%

= 90 + 90 × 0.10

= 90 + 9

= 99

10 packs of dog toys; or 100 dog toys all together.

Step-by-step explanation:

If Lauren bought 10 packs of dog toys, and there are 10 dog toys in each pack, you could simply multiply 10•10, which would come out to 100 dog toys.

Answer:

[tex]log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]

Step-by-step explanation:

[tex] log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]

Answer:

a = 180 - 150 = 75

x = 180 - 75 = 48

x = 57

Answer:

Step-by-step explanation:

Answer:

The answer is 37.

Step-by-step explanation:

Step 1: To find the output, k, we need to substitude 3 into the equation for t.

Step 2: k = 13t - 2

k = 13 x 3 - 2

= 39 - 2

= 37

Step 3: When the input is 3, the output is 37.

Answer:

An exponential model will be the best for the data.

Step-by-step explanation:

If you chart this data (either using a calculator, excel, or an online tool like desmos), it is clear that the curve is exponential.

Furthermore, if you run regression, you can find that the curve [tex]4*2^x[/tex] fits the data quite nicely.

Answer:

r = 728   ( there might be an easier way! )

Step-by-step explanation:

w/r = 3/8       then   w = 3/8 r

b/w = 2/7       b = 2/7 w     sub in the above equation  b = 2/7 (3/8 r) = 6/56 r

r + w + b = 1079

r + 3/8 r + 6/56 r = 1079

  r = 728

Answer:

k ±16

Step-by-step explanation:

Evaluate x^2 + 8 x + k where x = -4:

x^2 + 8 x + k = k - 4 8 + (-4)^2

(-4)^2 = 16:

k - 4 8 + 16

8 (-4) = -32:

k + -32 + 16

Grouping like terms, k - 32 + 16 = k + (16 - 32):

k + (16 - 32)

16 - 32 = -16:

Answer:  k ±16

Answer:

The answer is

k=−11

Explanation:

Let

f(x)=x^3−6x62+kx+10

If (x+2)is a factor

Then,

f(-2)=0

f(−2)= −8− 24 − 2k + 10= 0

2k=-22

k=−11

Step-by-step explanation:

Answer:

D) 15

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1} )^2}[/tex]

answer is 1 1/2

hope it helps...!!!

Answer:

B

Step-by-step explanation:

This is a combination problem. For the first letter, there are 26 possible letters in the alphabet to use. For the second, we cannot use the letter used in the first, so there are only 25 possible letters. Repeat this for the remaining 5 letters.

1st - 26

2nd - 25

3rd - 24

4th - 23

5th - 22

6th - 21

7th - 20

To find the number of possible passwords, simply multiply all these numbers together. 26*25*24*23*22*21*20 = 3,315,312,000. Therefore B is the correct answer.

Answer:

B

Step-by-step explanation:

The answer is B

you can find answers for questions like these on quizlet.

Answer:

Jack: 4 x 6 = 24

Jill: 5.4 x 10 = 54

Step-by-step explanation:

Jack:

5 + 1 = 6

24 ÷ 6 = 4

4 = $4 per item

Jill:

6 + 4 = 10

54 ÷ 10 = 5.4

5.4 = $5.4

B: 11

N: 5

Hope this helps!

Answer:

(a) 1,028,160

(b) 8,568

Step-by-step explanation:

(a)

[tex]18 \times 17 \times 16 \times 15 \times 14 = 1028160[/tex]

(b) 18! / (5! 13!) =

[tex] \frac{18 \times 17 \times 16 \times 15 \times 14}{5 \times 4 \times 3 \times 2 \times 1} = 8568[/tex]

Answer:

Your median is 40

Step-by-step explanation:

The Factorization of 121b⁴ − 49 is (11b^2 + 7)(11b^2 - 7).

The equation 121b⁴ − 49

To find the Factorization of 121b⁴ − 49.

The factor of a^2-b^2 is  (a+b)(a-b)

We have write the given equation in the form of a^2-b^2

[tex]= 121b^4 - 49\\= (11b^2)^2 - 7^2\\= (11b^2 + 7)(11b^2 - 7)[/tex]

Therefore the factor of the 121b^4 − 49 is (11b^2 + 7)(11b^2 - 7).

To learn more about the factor visit:

https://brainly.com/question/25829061

Answer:

(11b2 + 7)(11b2 − 7)

Step-by-step explanation:

just did the test

Step-by-step explanation:

[tex]| 8x - 5 | < - 3[/tex]

[tex]8x < - 3 + 5[/tex]

[tex]8x < 2[/tex]

[tex] \frac{8x}{8} < \frac{2}{8} [/tex]

[tex]x = \frac{1}{4} [/tex]

Answer:

x = 1/4

Step-by-step explanation: