A soccer player stands at a point that is modeled by (0, 0) on the coordinate plane.
he then kicks a soccer ball that is modeled by a quadratic equation.

select all key features that help determine the vertical height that the soccer ball
traveled from when it left the ground to when it reached its maximum height.

- y-intercept
- zeros
- vertex
- end behavior

Answer: 818.4

Step-by-step explanation:

Using the area of a sector formula, we get the area of the entire sector is [tex](\pi)(27.8^{2})\left(\frac{150}{360} \right)[/tex].

Using the formula [tex]A=\frac{1}{2} ab \sin C[/tex], we get the area of the triangle is [tex]\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ})[/tex].

So, the area of the shaded sector is [tex](\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}[/tex]

Using the information in the diagram, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°

From the question, we are to determine the measure of [tex]\overset{\LARGE\frown}{CD}[/tex]

Consider the right triangle

The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is twice the measure of the unknown angle

Let the unknown angle in the right triangle be x

∴ The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2x

Then,

x + 90° + 45.5° = 180° (Sum of angles in a triangle)

x = 180° - 90° - 45.5°

x = 44.5°

Thus,

The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2×44.5°

The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 89°

Hence, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°

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In trapezoid ABCD ,length of AB is equals to 8.4units(nearest tenth).

" Trapezoid is defined as the quadrilateral whose one pair of opposite side is parallel."

According to the question,

Given

Length of AE=5.2

Length of  AC=11.7

Length of  CD=10.5

As shown in figure

In trapezoid ABCD,

AB is parallel to CD, AC is the transversal.

AC and BD intersect at point E.

In ΔABE and ΔCDE,

∠BAE ≅∠ECD

∠ABE ≅∠EDC

By AA theorem,

ΔABE ~ ΔCDE

Therefore,

[tex]\frac{AE}{EC}=\frac{AB}{CD}[/tex]

  AE + EC = AC

⇒ 5.2 + EC = 11.7

⇒ EC = 11.7 - 5.2

⇒ EC = 6.5units

Substitute the value in the given proportion we get,

   [tex]\frac{5.2}{6.5}=\frac{AB}{10.5}[/tex]

⇒ [tex]AB = \frac{(10.5)(5.2)}{6.5}[/tex]

⇒[tex]AB = 8.4[/tex] units

Hence, in trapezoid ABCD ,length of AB is equals to 8.4units(nearest tenth).

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Answer:

-5 degrees is colder than -3 degrees farienheight.

Step-by-step explanation:

Let's take this and eliminate every answer-

"The lowest temperature is -3 degrees."

-5 is lower than -3.

"The highest temperature is -5 degrees."

-5 degrees is the lowest temperature, not the highest!

"-5 is warmer than 3 degrees."

-5 is the LOWEST TEMPERATURE.

This leaves us with "-5 is colder than -3 degrees," which is correct because -5 is the smallest temperature and therefore, it is the coldest.

[tex]\dfrac{n(n-3)}{2}=44\\\\n(n-3)=88\\n^2-3n-88=0\\n^2+8n-11n-88=0\\n(n+8)-11(n+8)=0\\(n-11)(n+8)=0\\n=11 \vee n=-8[/tex]

Therefore, the number of sides is 11.

#a

V={Vowels of English alphabets}

#b

C={cube numbers between 0 to 50}

#c

M={y:y is a multiple of 3 less than 20}

Answer:

J

Step-by-step explanation:

To find perimeter we add. 10+6 is 16. The third side has to be much bigger than this. So, J is the answer and J is 19 which wouldnt make sense as the length of the third side.

Answer:

My sister is doing this, I if remember correctly graph B?

The mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The question is incomplete.

The complete question is in the picture please refer to the picture.

We have given an arithmetic expression:

[tex]=\dfrac{9}{2}+3\left(4-1\right)-7+2^3[/tex]

Step 1:

[tex]=\dfrac{9}{2}+3(3)-7+2^3[/tex]

Step 2:

[tex]=\dfrac{9}{2}+3(3)-7+8[/tex]

Step 3 should be:

[tex]=\dfrac{9}{2}(3)-7+8[/tex]

The mistake made in the step 3

Thus, the mistake made in the step 3 option(D) step 3 is correct and the simplification form of the expression is 29/2,

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The value of x in both case is 17 and 10.

If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.

1. As the given angle is 90 degree i.e., complementary angle.

So,

 22+4x=90

  4x= 90-22

  4x= 68

    x= 17

2. As the figure for the linear pair i.e., supplementary angle

So,

110+7x=180

7x=70

x=10

Hence the value of x in both case is 17 and 10.

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Answer:

432

Step-by-step explanation:

To find the volume of a rectangular prism  you multiply, L × W × H

    L = 6     W = 8    H =9  you plug that in  6 × 8 × 9= 432

     so the volume is 432in²

A fraction is a way to describe a part of a whole. The fraction that can replace the question mark is 1/2.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The fraction that can replace the question mark is,

9 × ? = (3/2) + (3/2) + (3/2)

9 × ? = 3(3/2)

9 × ? = 9/2

9 × ? = 9/2

? = 9/(2×9)

? = 1/2

Hence, the fraction that can replace the question mark is 1/2.

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I predict that the solid with the  greater surface area to volume ratio would be the cube.

The volume of the cube is 27in³

The surface area of the cube is

The ratio of surface area to volume for the cube is 2.

The volume of the sphere is 113.14 in³

The surface area of the sphere is 113.14 in²

The ratio of surface area to volume is 1.

The volume of a cube = side length³

3³ = 27 in³

The surface area of a cube = 6a²

a = side length

6 x (3²) = 54 inches²

Ratio of surface area to volume = 54 / 27 = 2

The volume of the sphere= 4/3πr³

4/3 x 22/7 x 3³ = 113.14 in³

The surface area of the sphere = 4πr²

4 x 22/7 x 3² = 113.14 in²

Ratio of surface area to volume = 113.14 / 113.14 = 1

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In this situation, attendee number thirty will be the first one o receive both the bobblehead and the ticket.

Bobblehead:

Ticket:

It can be concluded the attendee number 30 will be the first one to receive both the ticket and the bobblehead.

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The answer is no solution.

Answer:

D.

Step-by-step explanation:

If you look at the pattern, the first shape (square) has four sides. Then, you have 5 sides, and finally, 6 sides.

Thus, a pattern of 4, 5, 6. So, the next shape must have 7 sides, leaving the only possible answer as D.

The limit of [tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex] as x approaches negative 3 is 1

The limit of the function given in question can also be written as:

[tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex]

To determine the required limit, we will simply substitute the value of x into the function as shown:

[tex]\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{ (-3)^2-8}\\\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{9-8}=1\\[/tex]

Hence the limit of [tex]\lim_{x \to -3}\sqrt{ x^2-8}[/tex] as x approaches negative 3 is 1

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Answer: the answer is b. 1

Step-by-step explanation: just got it right on edge

Answer:

Step-by-step explanation:

this year you earned $75500. Last year you earned $72400. What the rate of change on your earnings since last y?

Answer:

11

Step-by-step explanation:

2x-13=9

2x=9+13

2x=22

x=11

4|3x-1| + 3 > 11

4|3x-1| > 11-3

4|3x-1| > 8

|3x-1| > 2

3x-1>2 or 3x-1<-2

3x>2+1 3x<-2+1

3x>3 3x<-1

x>1 x<-1÷3

Solution: ]-♾️ , -1÷3 [ U ] 1,+♾️ [

Answer:

The twins are 21 years old right now.

(x+4) + (x+4) = 50

Step-by-step explanation:

Let x = the current age of one of the twins.

They are twins, that means they are the same age. So the other twin is also x years old.

In four years, the age will be x+4.

Both of them together will be:

(x+4) + (x+4)

The question says that total (of their ages in 4 years) will be 50.

(x+4) + (x+4) = 50

Combine like terms.

2x + 8 = 50

Subtract 8.

2x = 42

Divide by 2.

x = 21

The twins are currently 21.

To check: in four years they will be 25; then the sum of their ages will be 50. Check! Hope this helps!

Let S be the given sum, so

[tex]S = 8 + 8 \left(\dfrac14\right) + 8 \left(\dfrac14\right)^2 + \cdots + 8 \left(\dfrac14\right)^9[/tex]

[tex]\displaystyle S = 8 \left(1 + \dfrac14 + \frac1{4^2} + \cdots + \frac1{4^9}\right)[/tex]

Multiply both sides by 1/4.

[tex]\displaystyle \frac S4 = 8 \left(\frac14 + \frac1{4^2} + \frac1{4^3} + \cdots + \frac1{4^{10}}\right)[/tex]

Subtract this from S to eliminate all the but the first term in S and the last term in S/4 :

[tex]\displaystyle S - \frac S4 = 8 \left(1 - \frac1{4^{10}}\right)[/tex]

Solve for S :

[tex]\displaystyle \frac{3S}4 = 8 \left(1 - \frac1{4^{10}}\right)[/tex]

[tex]\displaystyle S = \frac{32}3 \left(1 - \frac1{4^{10}}\right) = \boxed{\frac{349,525}{32,768}}[/tex]

The rate of the plane in still air is 870km/h and the rate of the wind 210km/h.

Speed has the dimensions of distance divided by time.

Let Speed of airplane be x km/h and Speed of Wind be y km/h

Speed direction of wind (x+y)

Speed in opposition of wind (x-y)

Now, using speed x time= distance

7( x-y)=4620

(x-y)=4620/7

=660------------------(1)

Similarly,

8(x+y)=8640

(x+y) =8640/8=1080-----------------------(2)

Adding (1) and (2)

2x=1740

x=870 km/h

Subtracting (1) from (2)

2y=420

=>y=210 km/h

So rate of airplane =870km/h

rate of wind=210km/h

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Answer:

In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.

The volume of the bottom section of the figure is:

V = 48 cm³

Remember that for a rectangular prism of length L, width W, and height H, the volume is V.

V = L*W*H

For the bottom section the dimensions are:

Length = 6cm

Width = 4cm

Height = 4cm - 2cm = 2cm

Replacing these in the volume equation we get:

V = (6cm)*(4cm)*(2cm) = 48cm³

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Answer:

Step-by-step explanation:That’s t up to you STOP CHEATING!!

Answer:

6 23/25

Step-by-step explanation:

[tex]0.92\\\\\frac{0.92\cdot \:100}{100}\\\\=\frac{92}{100}\\\\= \frac{4\cdot \:23}{4\cdot \:25}\\\\=\frac{23}{25}\\\\= 6+\frac{23}{25}\\\\=6\frac{23}{25}[/tex]

The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.

In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.

The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:

It is to be noted that referenced plots are not indicated hence, the general answer.

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The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.

What is a Stem-and-Leap Plot?

In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.

The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:

Minimum

First Quartile

Median (Second Quartile)

Third Quartile; and

Maximum.

It is to be noted that referenced plots are not indicated hence, the general answer.

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