three friends Luke nick and serena are kicking a soccer ball to each other on the beach Luke kicks the ball to Serena who kicks the ball to nick, who kicks the ball back to Luke. the friends location on the beach are drawn on a coordinate plane as shown where the x values and y represent distance in feet.


WHAT IS THE APPROXIMATE DISTANCE THE BALL TRAVELS AFTER MAKING A FULL ROTATION AROUND THE TRIANGLE OF FRIENDS?

A. 288 feet
B.57.94 feet
C. 144 feet
D. 67.91 feet

Answer:

13

Step-by-step explanation:

The formula for cirmference is

C= π2 * r

we're using 3.14 as pi and r = radius.

the radius is always half of the diameter.

So in this case since the diamter is 4, the radius is 2. let's substitute these numbers.

C= 3.14 *2*2 and there your answer is 12.56 which rounded to the nearest tenth is 13.

Hope this helps :)

Answer:

good luck bestie

sending best of luck~♡

Answer:

I believe the answer is 112.75 in2

Step-by-step explanation:

Friend is smart

(It would be option 1) x - 2/2

Answer:

1/2

Step-by-step explanation:

Divide both the numerator and denominator

27/54 ÷ 27/27

Reduced fraction:

1/2

Therefore, 27/54 simplified to lowest terms is 1/2.

Answer:

27/54 =1/2

Step-by-step explanation:

27 and 54 are both multiples of 9, so 9 is a common divisordivisor.

Divide numerator and denominator by 91:

(27/9) / (54/9) = 3/6

Now 3 and 6 are both multiples of 3, so 3 is a common divisor

Divide numerator and denominator by 3:

(3/3) / (6/3) = 1/2

1 and 2 has no common divisors so 1/2 is the final answer

The equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Suppose that we've got:

[tex]f(x) = a \cos (bx - c) + d[/tex]

Then, this function has:

For this case, we're given that:

All the options are of cosine function, so let the function be:

[tex]f(x) = a \cos (bx - c) + d[/tex]

Then, as per the given data about max and min. values, we get:

d+a=1

d-a = -3

Adding both equations,

2d = -2 => d = -1

Thus, -1+a = 1, and therefore a = 2

Since it goes through 1 cycle at pi, so its period = π

Thus, we get:

[tex]Period = \pi = 2\pi/b\\\\or\\\\b = 2[/tex]

Now since there is only third option which has d= -1, and b =2 so assuming at least one option was true, we get the needed function as described by the option C.

Thus, the equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1

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Answer:

C) y = -2cos(2(x + π)) -1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Since consecutive terms differ by a constant k in this sequence, we have

[tex]a_8 = a_7 + k[/tex]

[tex]a_8 = (a_6+k)+k = a_6+2k[/tex]

[tex]a_8 = (a_5+k)+2k=a_5+3k[/tex]

and so on down to

[tex]a_8 = a_1 + 7k[/tex]

Solve for k :

14 = 49 + 7k   ⇒   -35 = 7k   ⇒   k = -5

We then do the same as above but in the reverse direction:

[tex]a_9 = a_8+k[/tex]

[tex]a_{10} = a_9+k = a_8+2k[/tex]

[tex]a_{11} = a_{10}+k = a_8+3k[/tex]

and so on, up to

[tex]a_{27} = a_8 + 19k = \boxed{-81}[/tex]

The equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.

​

To solve the problem, we need to know the equation of a straight line

The equation of a straight line in slope intercept form is given by y = mx + c where

Given that the straight line passes through the point (5, -10) and making equal but opposite intercept, its intercept is at (-5, 10)

We need to find the gradient, m by making m subject of the formula in y.

So, m = (y - c)/x

With

m = (y - c)/x

m = (-10 - 10)/5

m = -20/5

m = -4

Substiting m and c into y, we have

y = mx + c

y = -4x + 10

So, the equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.

​

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Answer:

Step-by-step explanation:

Remark

A B and D refer to what the cylinder can contain. They all refer to the hollowed out part of the cylinder.

C is the only one that talks about what you need to cover the cylinder with (say) paper or cloth. C is external to the surface of the cylinder.

Answer: C

Answer:

i believe it would be 22-26 but i am not sure

Answer:

y ≈ 12.6

Step-by-step explanation:

the angle between a tangent and the radius of the circle at the point of contact is 90°

then the triangle with y as a leg is right.

using Pythagoras' identity in the right triangle.

y² + 39² = 41²

y² + 1521 = 1681 ( subtract 1521 from both sides )

y² = 160 ( take square root of both sides )

y = [tex]\sqrt{160}[/tex] ≈ 12.6 ( to the nearest tenth )

The term that describes the part of the model of the Great Pyramid to be painted is called the: lateral area.

The lateral area of any pyramid is the area covered by the slant lateral faces of the pyramid. This excludes the base area of the pyramid.

The best term that describes the part of the Great Pyramid to be covered is therefore known as: lateral area.

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Answer:

C. $10.80

Step-by-step explanation:

Lets solve for first 30% discount

120/ 10 =12 (divided by 10 to get 10% of the whole)

12= 10% of 120

36= 30 % of 120 (multiplied by 3 to get 30%)

120-36= 84

Lets solve for second 30% discount

84/10 =8.4 (divided by 10 to get 10% of the whole)

8.4= 10% of 84

25.2 = 30% of 84 (multiplied by 3 to get 30%)

84-25.2=58.80 (subtracted the discount from the total to get the sale price)

Let's solve for what it would cost had they done 60% to begin with

120/10 = 12 (divided by 10 to get 10% of the whole)

12= 10% of 120

72= 60% of 120 (multiplied by 6 to get 60%)

120-72 = 48 (subtracted the discount from the total to get the sale price)

Let's solve for the difference between the two

58.80-48= 10.80

I assume x is a real variable. Note that √(25x²) is a non-negative number for any real x.

Meanwhile, we observe that for -2x √(100x),

• it's only defined for x ≥ 0, and

• if x ≥ 0, then multiplying √(100x) by -2x makes the overall product non-positive, i.e. -2x √(100x) ≤ 0

In short, this eliminates any non-zero real solution, and we're left with x = 0.

We can arrive at the same result by working with the equation:

√(25x²) + 2x √(100x) = 0

5|x| + 20 x√x = 0

since √(x²) = |x| for all x.

Recall that |x| = x if x ≥ 0, and |x| = -x if x < 0.

• If x ≥ 0, the equation reduces to

5x + 20 x√x = 0

5x (1 + 4√x) = 0

5x = 0   or   1 + 4√x = 0

x = 0   or   √x = -1/4

But √x ≥ 0 for x ≥ 0, so we throw out the second solution.

• If x < 0, the equation instead reduces to

-5x + 20 x√x = 0

-5x (1 - 4√x) = 0

-5x = 0   or   1 - 4√x = 0

x = 0   or   √x = 1/4

x = 0   or   x = 1/16

But we assumed x is negative, so we throw out both choices and get no solution for this case.

The values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9.

We have given the polynomial w^2 - 11w + 18

First  to find the factor form and then

To determine the value of a and b

The Polynomial is an expression that involves only the operations of addition, subtraction, and multiplication of variables.

The given the polynomial is w^2- 11w + 18

= w^2 - 9w - 2w + 18

= w(w - 9) -2(w - 9)

= (w - 2)(w - 9)

This implies that a=2 and b=9

Therefore, the values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9

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Answer:

a=2 b=9

Step-by-step explanation:

Answer:

52 people

Step-by-step explanation:

add 5 9 12 17 4 5 and youlk get 52 people.

Answer:

its 5

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know, opposite sides of a cyclic quadrilateral add up to 180°, let's use this property to find Angle L

[tex]\qquad \tt \dashrightarrow \: \angle L + 68 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle L = 180 - 68[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle L = 112 \degree[/tex]

So, measure of Angle L is 112°

The solution is Option C.

The area of the triangle is 21.5 square units

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the triangle be A

Let the height of the triangle be H

The value of H = 7 units

Let the base of the triangle be B

The value of B = 6 units

Now , the area of the triangle is given by the equation

The area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

Area of Triangle = ( 1/2 ) x 7 x 6

Area of Triangle = 1/2 x 42

Area of Triangle = 42/2

Area of Triangle A = 21.5 square units

Therefore , the value of A is 21.5 units²

Hence , The area of the triangle is 21.5 square units

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Answer:

Break it into 2 parts.

Explanation:

Y=4x

Firstly draw the graph of y=4x , then light it up the y-axis by 4 units.

Or you can do it by plotting points; say x=0, x=1, x=2 and so on.

Step-by-step explanation:

Answer:

5/8

Step-by-Step Explanation:

Inali - ate 3/8

His Friend - ate 1/4, but you need it with denominator of 8 so you can do 1/4=x/8 and x=2

Now, you have to add 3/8 plus 2/8 and you get 5/8.

Answer:

Step-by-step explanation:

3

Answer:

The answer is quadratic

Step-by-step explanation:

I just took the quiz and got this question correct, also it cant be linear because if it were linear, it would be more of a straight shape, but this is more of a u shape, if it were exponential, it would look more drawn out to the sides i believe, and if it were no pattern, there would just be dot points threwn at random spots. Therefore, the answer is Quadratic.

Answer:

Step-by-step explanation:

The relationship between angle measures in degrees and angle measures in radians does not depend on the radius of the circle. It is always ...

  180° = π radians

__

Then an angle of 45° will be ...

  45° × (π radians)/(180°) = π/4 radians

This value is the same for a radius of 5 cm or of 1 cm.

_____

Additional comment

We have made the conversion from degrees to radians using a conversion factor that has radians in the numerator and degrees in the denominator. When we mutiply by this factor, the units of degrees cancel, leaving units of radians. We use a conversion factor that has the same angle value in numerator and denominator, so it doesn't change the angle we're multiplying. It only changes the units.

The same relation can be expressed as a proportion:

  (π radians)/180° = (x radians)/(45°)

When you multiply this equation by 45° on both sides, you get the equation we used above.

Answer:

r=C/2pi

r= 32/2pi. pi=3.1415. 2pi= 2×3.1415 =6.2831

given that C= 32, therefore r=32/6.2831 =5.0930.

The correct option is  D  they will have the same volume.

In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

They both have the same height, assuming that each coin has same volume, then how can coins in 1 stack have different volume than coins in another stack no matter how you stack them.

Like two cylinders with same base area and height have same volume. Like wise rectangle and parallelogram with same base and same perpendicular height having same area.

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Answer:

DDDDDDDDD is your Answer

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

6 - 2x = (5-9)x +18

6 - 2x = -4x +18

2x = 12

x = 6

Answer:

y = 38 + 72t - 16t^2

Step-by-step explanation:

So, solve for t when y=48.

The max height is of course, when t = 64/32 = 2.

Answer:

The answer would be 75.4 (rounded to nearest 10th)

Step-by-step explanation:

Step 1. Multiply the radius (12) by 2 to get 24.
Step 2. Do 24π
Step 3. Get the answer of 75.3982236862
Step 4. Round to 75.4
Hope this helps! :)

Answer:

C ≈ 75.4 m

Step-by-step explanation:

using the formula C = 2πr , then

C = 2π × 12 = 24π ≈ 75.4 m ( to 1 dec. place )

Answer:

10

Step-by-step explanation:

Answer:

C) (-5,8)

Step-by-step explanation:

The format for point is (x,y)

X is the horzontal (left or right)

Y is verticle (Up or down)

Remember that left and down are negatives

So you move 5 times to the left, thus -5

You move 8 upwards, thus 8

The answer is (-5,8)

Hope this helps!