For the concentric circles shown, the radius of the inner circle is 3 centimeters and the distance from the
cdge of the inner circle to the edge of the outer circle is 7 centimeters. What is the exact arca, in squarc
centimeters, of the shaded outer region?

Answer: 27

Step-by-step explanation:

9*3

Answer:

[tex] \displaystyle x = \frac{3}{4} [/tex]

Step-by-step explanation:

we are given that

[tex] \displaystyle P = \left(x, - \frac{ \sqrt{7} }{4} \right)[/tex]

we want to figure out x

remember that,

In unit circle x coordinate is considered cos and y coordinate is considered sin

so in order to figure out x we should figure out the value of cos to do we can consider Pythagoras trig indentity

given by

[tex] \displaystyle \sin ^{2} ( \theta) + { \cos}^{2} ( \theta) = 1[/tex]

we are given sin=-√7/4 thus

substitute:

[tex] \displaystyle \left( - \frac{ \sqrt{7} }{4} \right) ^{2} + { \cos}^{2} ( \theta) = 1[/tex]

simplify square:

[tex] \displaystyle \frac{7}{16} + \cos ^{2} ( \theta) = 1[/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle \cos ^{2} ( \theta) = 1 - \frac{7}{16} [/tex]

simplify Substraction:

[tex] \displaystyle \cos ^{2} ( \theta) = \frac{9}{16} [/tex]

square root both sides:

[tex] \displaystyle \cos ^{} ( \theta) = \pm\frac{3}{4} [/tex]

since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable

hence,

[tex] \displaystyle x = \frac{3}{4}[/tex]

Answer:

See below.

Step-by-step explanation:

These work just like ordinary algebraic expresssions, except you have to remember always:  i^2 = -1    i squared is negative one!

(4 - 3i)(4 + 3i)   "FOIL" the expression to get 16 - 3i + 3i - 9i^2.  But i^2 = -1, so this is the same as 16 - 3i + 3i + 9.  Combine like terms.

Ans. 25

(4 - 3i)(i)  Distribute the i to the two terms of the binomial.

4i - 3i^2 = 4i - 3(-1)

Ans. 4i + 3

(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)

Ans. 24i -18

(6i)(i) = 6i^2 = 6(-1)

Ans. -6

(-5)(4 + 3i) = -20 - 15i   That's it; there's no i^2 to deal with.

Ans. -20 - 15i

(-5)(i)   = -5i  Again, that's all there is to it.

Ans. -5i

Answer:

24318

Step-by-step explanation:

That's all what you were asking for?

Answer:

[tex]45\:\mathrm{in}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex]. Substituting given values, we have:

[tex]3,840=\frac{1}{3}\cdot 16^2\cdot h,\\h=\frac{3,840\cdot 3}{256}=\boxed{45}[/tex]

Answer:

30 in.

Step-by-step explanation:

[tex]h=3\frac{V}{a^{2} }[/tex]

[tex]h=3\frac{3840}{16^{2} }[/tex]

45.12

That is not an option, so go with the closest one 30 in.

Answer:

V = 577 cubic cm

Step-by-step explanation:

V(cyl) = Area of Base x Height

Area of Base = πr²

r = 7/2 or 3.5

h = 15

V = π(3.5)²(15)

V = 577

A≈1052.09

Hope you have a great life

Answer:Execute Order 66

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that the original figure is the black one

Area of the original figure = 2 x 3 = 6

A (0,1) -> A’ (0,3)

B (2,1) -> B’ (6,3)

C (2,4) -> C’ (6, 12)

D (0,4) -> D’ (0,12)

AB = 6

BC = 9

Area of the final figure = 9 x 6 = 54

b)

area of the final figure = 9 x area of the original figure

c)

true, because their side are proportional

Answer:

yeah it's right

Step-by-step explanation:

Answer:

(5,3)

Step-by-step explanation:

add the equations to eliminate to x's and get 8y=24

divide both sides by 8 to get y=3

then substitute in -2x+3(3)=-1 to solve for x

so x=5 so the solution is (5,3)

Answer:

[tex]x=5 \\y=3[/tex]

Step-by-step explanation:

[tex]-2x+3y=-1\\2x+5y=25[/tex]

Add these equations to eliminate x:

[tex]8y=24[/tex]

Then, solve [tex]8y=24[/tex] for y:

[tex]8y=24[/tex]

[tex]\frac{8y}{8} =\frac{24}{8}[/tex] (divide both sides by 8)

[tex]y=3[/tex]

Now let's find the value of x:

Substitute 3 for y in [tex]-2x+3y=-1[/tex]

[tex]-2x+(3)(3)=-1[/tex]

[tex]-2x+9=-1[/tex] (simplify both sides of the equation)

[tex]-2x+9+-9=-1+-9[/tex] (add both sides by -9)

[tex]-2x=-10[/tex]

[tex]\frac{-2x}{-2} =\frac{-10}{-2}[/tex]  (divide both sides by -2)

[tex]x=5[/tex]

Therefore, the value of x = 5 and y = 3

Answer:

Population of fish in

either im blind, or i see no expression

Answer:

8x=104

Step-by-step explanation:

The answer above is the question simplified down

Answer:

He's correct its 432

Step-by-step explanation:

Answer:

49 is your answer :)

Step-by-step explanation:

Have a nice dayyy <3

Step-by-step explanation:

The model will contain 1 ten and 4 ones in each group.

Answer:

A

Step-by-step explanation:

The requried simplified value of x in the intersection of two lines is 6.

Opposite angles are a pair of angles that are formed when two lines intersect. The two angles are located on opposite sides of the point where the two lines intersect.

Opposite angles are also called vertical angles, and they have equal measures. This means that if we know the measure of one opposite angle, we can find the measure of the other opposite angle by setting them equal to each other.

Here,
When two lines intersect, opposite angles are equal. So, we can set the two opposite angles equal to each other and solve for x.

Given that the opposite angles are 3x + 2 and 20 degrees, we have:

3x + 2 = 20

Subtracting 2 from both sides, we get:

3x = 18

Dividing both sides by 3, we get:

x = 6

Therefore, the value of x is 6.

Learn more about opposite angles here:

https://brainly.com/question/2687431

#SPJ7

Answer:

A function R x that models the total revenue per game is as follows:

Rx = 87,5000 + 3,750x – 500x^2.

Step-by-step explanation:

Based on the information in the question, we have:

Rx = Total revenue per game

x = Number of $0.25 increases in the price of a hot dog

Average sales of hot dogs = 35,000

Effect of each 25 cent increase in the price on average sales = 35,000 - 2000x

Effect of each 25 cent increase in the price on selling price = 2.5 + 0.25x

Therefore, we have:

Rx = (35,000 - 2000x)(2.5 + 0.25x)

This can be solved further by opening the brackets as follows:

Rx = 87,5000 + 8,750x - 5,000x - 500x^2

Rx = 87,5000 + 3,750x – 500x^2

Therefore, a function R x that models the total revenue per game is Rx = 87,5000 + 3,750x – 500x^2.

Answer:

Which of the following relations is a function- A

Determine which relation is a function- A

Step-by-step explanation:

A function is a type of relationship where x's do not repeat. So, to solve find where each y has a unique x value. In the first question, A is correct because the x values; -3, 0, 2; never repeat. Then, on the next question A is correct because it is a relation written in slope-intercept form, which is a type of function notation.

Answer:

I think the answer is 30°. Please tell me if I'm wrong.

Answer: 90 Degrees

Step-by-step explanation:

si =25%*p  

rate =term=t  

from si= ptr/100

term = rate = 5

Answer:

38.64 km^2

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]\frac{(b_{1}+b_{2})*h}{2}[/tex]

Where b1 and b2 are the bases and h is the height. We are given 2.9 and 10.9 as the bases and 5.6 as the height. We can plug these values into the formula:

[tex]\frac{(2.9+10.9)*5.6}{2}[/tex]

After entering the expression in the calculator, you get:

38.64 km^2

This is the first option.

Answer:

1/4

Step-by-step explanation:

if you do it on a calculator it comes out to 0.25 which equals 1/4

Step-by-step explanation: Since there are 14 horses, 14 - 6 -5 = 3 are black.

a) 3 out of 14 are black, so probability is 3/14 chosen horse will be black

b) 1 - 3/14 = 11/14 probability will not be black

c) 6 are brown and 3 are black, so 9/14 probability chosen horse will be either.