Find shaded area of the circle. Please help!

Answer:

its A

Step-by-step explanation:

i did the test

Answer:

mixed number: 12 2/5

improper fraction: 62/5

Step-by-step explanation:

Answer:

The relationship between the two sets A and B if A ⊆ B is A is subset of B

Step-by-step explanation:

A = {1,2,3,4,5}

B = {1,2,3,4,5,6,7,8}

All Elements of set A {1,2,3,4,5} are present in set B  

we relate set A and set B as A ⊆ B,which means set A is subset of set B. Symbol “⊆” is used to denote subset  

So set A is subset of set B (A ⊆ B)  

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Answer:

The two lines are coincident (essentially the same line) so every point on the line is a solution. Normally you would say they have infinitely many solutions.

An example of this would be:

y = 2x + 3

2y = 4x + 6

The statement that matches this situation would be D.

Answer:

D. The system of equations does not have only one solution (it has infinitely many) because the lines do not intersect at *only* one point.

Step-by-step explanation:

Answer:

A. (4,3)

Step-by-step explanation:

     The vertex of a parabola is the maximum or minimum point on the graph of the quadratic function aka where you just have "one value" wether than be the very top, the very bottom, etc

In summary:

Here we can see it'll be the very bottom as the parabola is angled upwards.

Looking at the graph, we can see it is 4 units to the right and 3 units up.

The first number is the x, or the right/left, so our first number is 4

The second number is our y, or the up/down, so our second number is 3

This leaves us with the point (4, 3) and an answer of A!

Hope this helps, have a nice day :D

Answer:

No.

Step-by-step explanation:

In similar triangles, all the angles are congruent.

b = 180 - 90 - 43 = 47

c = 180 - 90 - 48 = 42

1 set of angles is 90, 43, and 47

And the other is 90, 48, and 42.

Meaning the triangles are not similar.

Answer:

this isn't a real equation..

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

You need to pick a point, P, that will give you a distance from A to P that is twice as long as from P to B, or ration 2:1

Point A is (-2,-7), point B is (1,8), and I picked (0.3) because it looked like it could be, but now we need to test it.

Distance formula is:

\(d=\sqrt{(x_{2}-x_{1})^{2} + {(y_{2}-y_{1})^{2} } \\\)

So AP would be

\(AP=\sqrt{(0--2)^{2} + {(3--7)^{2} } \\\)

\(AP=\sqrt{(2)^{2} + {(10)^{2} } \\\)

Do the same with PB, and you will find it's 5.1, giving an approximate ratio of 2:1.

The equation of the parabola is:

The vertex, (h, k) = (-2, 2)

The equation of the axis of symmetry is x = -2

Option A is the correct choice

The focus, (h, f) = (-2, 5)

That is, h = -2, f = 5

The directrix, y = -1

The distance from the focus to thevertex = f - k

The distance from the vertex to the directrix = k - (-1)

The distance from the vertex to the directrix = k + 1

f - k = k + 1

Since f = 5

5 - k = k + 1

k + k = 5 - 1

2k = 4

k = 2

The vertex, (h, k) = (-2, 2)

The equation of the parabola is of the form:

y = a(x - h)² + k

Substititute a = 1/12, h = -2, and k = 2 into the equation y = a(x - h)² + k

The equation of the parabola is:

The axis of symmetry of the parabola is the equation of the x-axis of the vertex

x = h

x = -2

The equation of the axis of symmetry is x = -2

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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To solve the problem, we need to find Julian's average speed, given that he started biking from a position behind the simulated biker at a speed of 20 km/h, and after 15 minutes, his position was reported as -214 km.

We can use the formula for average speed:

Average speed = total distance / total time

To find the total distance, we need to calculate the displacement of Julian from the initial position of -d (where d is the distance between Julian and the simulated biker when he started biking) to the position of -214 km after 15 minutes.

Displacement = final position - initial position

Displacement = (-214 km) - (-d) = d - 214 km

The total distance covered by Julian is equal to the absolute value of the displacement, since the direction of the motion does not matter when computing distance.

Total distance = |d - 214 km|

To find the total time, we need to convert 15 minutes to hours:

Total time = 15 minutes / 60 minutes/hour = 0.25 hours

Now we can substitute the values into the formula for average speed:

Average speed = total distance / total time

Average speed = |d - 214 km| / 0.25 hours

Since Julian was traveling at a constant speed of 20 km/h, we can also express the distance in terms of time:

Average speed = (20 km/h) x t / 0.25 hours

where t is the time Julian biked in hours.

Setting the two expressions for average speed equal to each other, we can solve for t:

|d - 214 km| / 0.25 hours = (20 km/h) x t / 0.25 hours

|d - 214 km| = 20 km/h x t

Solving for t:

t = |d - 214 km| / 20 km/h

Now we can substitute this expression for t into either expression for average speed:

Average speed = (20 km/h) x t / 0.25 hours

Average speed = |d - 214 km| / 0.25 hours

Substituting the expression for t:

Average speed = |d - 214 km| x 4 / |d - 214 km|

Simplifying:

Average speed = 80 km/h

Therefore, Julian's average speed so far has been 80 km/h.

Answer:

1000 in

Step-by-step explanation:

Given

The dimension of the small cube is 1\ in.1 in.

No of the cubes is 10^6106

If the small cubes are arranged on the floor

The area of the cubes is

\Rightarrow 10^6\times 1^2\ in.^2⇒106×12 in.2

Answer:

2131 km

Step-by-step explanation:

The Pythagorean theroeom states that a^2+b^2=c^2. We know that Earth's radius is 6314, so we know one of the shorter sides, (a). side c, the hypotenuse, is 6314 km plus 350 km. Plug it into the equation and then solve for b.

6314^2+b^2=6664^2

b^2=4542327

sqaure root each side and you have your answer!

Answer:

(10.5 - 0.75y) hours

Step-by-step explanation:

Number of days in 1 week = 7 .

Number of days in a week  Karla sings = y

Number of days Karla plays piano in a week  = Number of days in 1 week - Number of days in a week  Karla sings

Number of days Karla plays piano in a week  = 7 - y

In 1 day Karla sings for =  45 minutes

60 minutes = 1hour

45 minutes = 1/60 * 45 = 3/4 hours = 0.75 hours

In y days time for which Karla sings = y *0.75 hours= 0.75y hours

Time for which Karla plays piano in 1 day = 1.5 hours

Time  for which Karla plays piano in (7-y) day = 1.5*(7-y) hours

Total time in hours  for which karla sings and plays the piano each week

= 0.75y + 1.5*(7-y)

= 0.75 y + 10.5 - 1.5y

= 10.5 - 0.75y

Thus,  total number of hours karla sings and plays the piano each week is 10.5 - 0.75y hours

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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The scenario that will bring about less interest will be Borrowing $1750 for six months at a simple interest rate of 7%.

It should be noted that the simple Interest is calculated by using the formula thus:

= Principal × Rate × Time

Borrowing $1750 for six months at a simple interest rate of 7%. The simple interest will be:

= $1750 × 7% × 6/12

= $61.25

Borrowing $1750 for five months at a simple interest rate of 9%. The simple Interest will be:

= $1750 × 9% × 5/12

= $65.64

Therefore, Borrowing $1750 for six months at a simple interest rate of 7% has less simple interest.

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Answer:

-600

Step-by-step explanation:

-3 x 2 is -6

then add the zeros

9514 1404 393

Answer:

  x = 1/6

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

The fraction inside parentheses evaluates to ...

  3^(3/4 -3/8) = 3^(3/8)

Then the whole expression evaluates to ...

  (3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)

The value of x is 1/6.

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

Answer:

D is the right ans after solving eqn we get two value of x and they are 1 and 3

Answer:

A

Step-by-step explanation:

30 times x all the others are incorrect so by process of elimination it is a

If Micha rides for 35 minutes, she'll stop riding her bike at 12:40pm

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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