can someone please help with this!!

Answer:

\( \displaystyle{ \theta = \dfrac{5\pi}{6} ,\dfrac{7\pi}{6}}\)

Step-by-step explanation:

Given the equation:

\( \displaystyle{2 \cos \theta = - \sqrt{3} }\)

Divide both sides by 2:

\( \displaystyle{ \cos \theta = \dfrac{- \sqrt{3}} {2}}\)

Cosine is negative in Quadrant 2 and 3. Therefore, we have to find measurement that satisfies the equation. We know that:

\( \displaystyle{ \cos \dfrac{\pi}{6} = \dfrac{ \sqrt{3} }{2}}\)

π/6 is a reference angle. Therefore, to find √3/2 in negative form (for cosine), we have to subtract π by π/6 (Q2) and also add π by π/6 (Q3) as well.

Q2

\(\displaystyle{ \pi - \dfrac{\pi}{6} = \dfrac{6\pi}{6} - \dfrac{\pi}{6}} \\ \\ \displaystyle{ \pi - \dfrac{\pi}{6}= \dfrac{5\pi}{6}}\)

Q3

\( \displaystyle{\pi + \dfrac{\pi}{6} = \dfrac{6\pi}{6} + \dfrac{\pi}{6}} \\ \\ \displaystyle{\pi + \dfrac{\pi}{6} = \dfrac{7\pi}{6}}\)

Since the interval is from 0 to 2π, only two measurements above (5π/6 and 7π/6) are only solutions to the equation.

\( \displaystyle{ \therefore \theta = \dfrac{5\pi}{6} ,\dfrac{7\pi}{6}}\)

Answer:

2

Step-by-step explanation:

=−2y+10+2y+−8

=(−2y+2y)+(10+−8)

=2

Answer:

Translation? what does that mean? sorry can't understand in this language

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

you would have to give us the shape to figure it out

The required sample size of the given value is 577.

What is margin of error?

The formula to calculate the sample size  :-

n = (p(1-p)((Zα/₂)/E)²

Given :  Estimated proportion  p = 0.60

Margin of error : E = 0.04

Significance level : α = 1-0.95 = 0.05

Critical value : Zα/₂ = 1.96

Now, the required sample size will be :-

n = (0.60)(0.11)(1.96/0.04)²

= 6.6 * (0.0784)²

= 0.57744

Hence, the required minimum sample size of the given is 577.

To know more about margin of error check the below link:

https://brainly.com/question/24289590

#SPJ1

Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r

Answer:

b

Step-by-step explanation:

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

Learn more about the surface area of revolutions here:

https://brainly.com/question/32268747

#SPJ1

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

Answer:

102 tickets

Step-by-step explanation:

start by adding

Mon 198

Tues 96

We'd 204

then you would get 498 and max people that can fit in the gym is 600 so then you would subtract 600-498 and get 102 so the maximum amount of tickets they can sell on Thursday is 102 tickets

Step-by-step explanation:

70 ÷ 3 = 23  1/3

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

ca and diameter

Step-by-step explanation:

Answer:

In the image

Hope this helps!

Step-by-step explanation:

1. AC

2. the diameter

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

For such more questions on missing coordinates:

https://brainly.com/question/27481419

#SPJ11

Answer:

The further compounding cycles in a given year, the greater the effect on the valuation of potential investment. Therefore, the more interest-posting dates, irrespective of the interest rate, the more compounding raises the account balance.

Step-by-step explanation:

Answer:

C

the computed value gets larger

Step-by-step explanation:

Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

Mark this as brainliest please.

Answer:

x=1b(k+2)=1b(k+2.0)

= k+2/x

Step-by-step explanation:

Step 1: Add 2 to both sides.

Step 2: Divide both sides by x

Answer: x=1b(k+2)=1b(k+2.0)

Hope this helps.

Answer:

x = 8/5

Step-by-step explanation:

Step 1: Write equation

2(4x - 1) = 3(x + 2)

Step 2: Distribute

8x - 2 = 3x + 6

Step 3: Subtract 3x on both sides

5x - 2 = 6

Step 4: Add 2 to both sides

5x = 8

Step 5: Divide both sides by 5

x = 8/5

Answer:

the answer is B) 24.

Step-by-step explanation:

To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.

Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:

3 cm + 4 cm + 5 cm = 12 cm

The height of the prism is given as 2 cm. Therefore, the lateral surface area is:

12 cm x 2 cm = 24 cm²

So the answer is B) 24.

IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you

Answer:

80.

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

The two angles are alternate exterior and has same measurement

15(x+1) = 150 divide both sides by 15

x + 1 = 10 subtract 1 from both sides

x = 9

Answer:

11 or I'm just bad at math

Greatest common factor (GCF) of 7 and 15 is 1. We will now calculate the prime factors of 7 and 15, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7 and 15.

To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:

Total number of months = 8 years x 12 months/year = 96 months

Next, we can calculate the interest for half a month:

Interest = Principal x Rate x Time

Where:

- Principal = $90,900.00

- Rate = 8.25% (annual interest rate)

- Time = 0.5/12 years (half a month, expressed in years)

Rate needs to be converted to a monthly rate, so we divide it by 12:

Rate = 8.25% / 12 = 0.6875% (monthly interest rate)

Time needs to be expressed in years, so we divide it by 12:

Time = 0.5/12 years

Now we can calculate the interest:

Interest = $90,900.00 x 0.006875 x 0.0416667

Interest = $25.08 (rounded to the nearest cent)

Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.

Answer:

The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64

Step-by-step explanation:

Make a plan:

Draw the conclusion:

Hope this helps!

Answer: (4,-1)

Step-by-step explanation:

\(-2x-2y=-6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (divide\ both\ parts\ of \ the\ equation\ by\ 2):\\3x+4y=8\\\\-x-y=-3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (multiply\ both\ parts\ of \ the\ equation\ by\ 3)\\3x+4y=8\\\\-3x-3y=-9\ \ \ \ \ (1)\\3x+4y=8\ \ \ \ \ \ \ \ \ \ (2)\\\\\)

Summarize equations (1) and (2):

\(y=-1\)

Hence,

3x+4(-1)=8

3x-4=8

3x-4+4=8+4

3x=12                                  (divide both parts of the equation by 3)

x=4

Answer:

Answer:

Step-by-step explanation:

(a) A = 23°

(b) A=99°

(c) A = 53°

(d) A= 36°

Answer:

b

Step-by-step explanation:

Answer:

27 lawns.

Step-by-step explanation:

45÷10

4.5

So every hour they mow 4.5 lawns.

Now do 4.5 • 6

So 27 lawns

Hope this helps