Find the area of the shape shown below.

Answer:

The function that describes the height of the ball in time is  [tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex].

Step-by-step explanation:

Let suppose that ball experiments a free fall motion, which means that the ball is accelerated because of gravity and gravitational acceleration can be considered constant since height reached by the object is too small in comparison with the radius of the Earth. Therefore, we can assume that ball is accelerated uniformly.

Hence, the kinematic formula for the height of the ball ([tex]h(t)[/tex]), in feet, is described below:

[tex]h(t) = s + v\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)

Where:

[tex]s[/tex] - Initial height with respect to the ground, in feet.

[tex]v[/tex] - Initial velocity, in feet per second.

[tex]t[/tex] - Time, in seconds.

[tex]g[/tex] - Gravitational acceleration, in feet per square second.

If we know that [tex]s = 0\,ft[/tex], [tex]v = 32\,\frac{ft}{s^{2}}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that describes the height of the ball in time is:

[tex]h(t) = 32\cdot t -16.087\cdot t^{2}[/tex] (2)

Answer:

Step-by-step explanation:

The volume of a rectangular prism can be calculated by multiplying the area of its base by its height.

Mathematically, we have

The volume of prism = base area X  height

At this point, it is important to note that a rectangular prism is a solid shape that has its base as a rectangle; so the area of its base, is the same thing as the area of a rectangle.

Where base area = length X breadth

hence, volume = length X breadth X height

volume = 3/2 X 5/2 X 4 = 15 cubic inches

Answer:

x=1, y=-4. (1, -4).

Step-by-step explanation:

10x-2y=18

-10x+9y=-46

------------------

7y=-28

y=-28/7

y=-4

10x-2(-4)=18

10x+8=18

10x=18-8

10x=10

x=10/10

x=1

Answer:

https://www.symbolab.com/solver/step-by-step/x%5E%7B2%7D%20%2B5x%2B3%3D0

Step-by-step explanation:

Answer:

[tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex]

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: [tex]ax^2 + bx +c= 0[/tex]

Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

Given our equation: [tex]x^2+5x+3 = 0[/tex]

Plug it into the formula and solve:

This cannot be simplified further. The answer is [tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex].

Answer:

10 in * 7in

Step-by-step explanation:

Given that :

Volume of block = 350 in³

Height of block = 5 inches

The dimension of block can be expressed cubic units

Volume of a rectangular prism :

V = length * width * height

Let ; length * width = B

350 = B * 5

B = 350 / 5

B = 70 in²

Possible dimension of B:

B = length *width

70 in² = 10 in * 7in

Hence, possible whole number dimension for the base = 10 in * 7in

Answer:

it would be 7 x 10 , 1 x 70 , 2 x 35

Step-by-step explanation:

Answer:

Is correct , like A= 4 B=3 C=20

Answer:

d

Step-by-step explanation:

Hope this helps! Good luck!

Answer:

1: The highest score is 98, the lowest score is 74.

2: 55% of the scores are greater than 84

Step-by-step explanation:

Solution 1-1:

Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.

Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98

Solution 1-2:

Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74

Solution 2:

There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.

By dividing 11 by 20 we get 0.55 which is equal to 55%

Answer:

a. 10x - 2

Step-by-step explanation:

4x - 2 +6x ( collect like terms )

4x +6x - 2

10x - 2

Answer:

hey, what exactly is your question? i don't really get it.

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Formula

The secant and tangent lines bear the following relationship

(tangent line )^2 = the outside secant line * length of the whole line

Givens

tangent line = 15

outside secant line = x

length of whole secant line = x + 16

Solution

15^2 = x ( x + 16)

15^2 = x^2 + 16x

225 = x^2 + 16x

x^2 + 16x - 225 = 0

Answer and Discussion

The equation has two factors.

(x - 9)(x + 25) =0

x + 25 has no meaning. There cannot be a negative length in this level of geometry.

The answer is x - 9 = 0

x = 9

9514 1404 393

Answer:

  24π cm²

Step-by-step explanation:

The radius and height of the cone are shown as 3 and 4, so we know the slant height is 5 (a 3-4-5 right triangle is formed by these dimensions). Then the total surface area of the cone is ...

  A = πr² + πrl = πr(r +l)

  A = π(3 cm)(3 cm +5 cm) = 24π cm² . . . . total area of the cone

_____

Additional comment

The (3, 4, 5) Pythagorean triple is one of several involving small integers that regularly appear in math problems. It is worth remembering. In case you need convincing:

  3² + 4² = 5² . . . . sum of squares of sides is square of hypotenuse

  9 + 16 = 25

Answer: I think the answer is B

Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.

Answer:

c bc he should use the median cause it is in the affect the mean

Step-by-step explanation:

Answer:

14x + 6

step by step explanation:

Answer:

the answer is 40.5!

Step-by-step explanation:

First, you have to add all of the numbers up!

Answer:

The equation that can be used to find the number of pencils Andrew bought is:

x=(c-3.50)/0.99

Step-by-step explanation:

With the information provided, you can say that the total amount paid would be equal to the price of the pack of erasers plus the price per pencil for the number of pencils purchased, which can be expressed as:

c=3.50+0.99x, where:

c is the total cost

x is he number of pencils purchased

Now, you can solve for x in order to find the equation to calculate the number of pencils Andrew bought:

c-3.50=0.99x

x=(c-3.50)/0.99

According to this, the answer is that the equation that can be used to find the number of pencils Andrew bought is:

x=(c-3.50)/0.99

Answer:

1332 1/4

Step-by-step explanation:

(36 1/2)² = (73/2)² = (73 * 73)/(2 * 2) = 5329/4 = 1332 1/4

Answer:

i do not know

Step-by-step explanation:

ummmmmmmmm x = well you see you have to solve for x mmmmmm hhhhhhmmmmm yup

I hope the answer is helpful

Answer:

5832 cubic inches

Answer: A

Step-by-step explanation: true true true

Answer:

$14.85

Step-by-step explanation:

8.98 + 3.27 + 1.5 = 13.75

13.75 x .08 = 1.1

13.75 + 1.1 = 14.85

Answer:

$14.85

Step-by-step explanation:

8.98 x.08= 0.7184

3.27 x .08= 0.2616

1.50 x .08= 0.12

8.98 + 0.72=  9.70

3.27 + .26= 3.53

1.50 + 12 =1.62

9.70+ 3.53 +1.62 = 14.85

Step-by-step explanation:

7x+10 - (x+2)^2

7x+10 - (x^2 + 2x + 4)

7x+ 10 - x^2 - 2x - 4

5x + 6 - x^2

then if u have to find the value of x then put the value of a = 1,b = 5,c = 6 in quadratic formula (-b + under root b^2 - 4ac / 2a) or (- b - under root b^2 - 4ac / 2a) it will gives the value of x...

HOPE it u..!!

edit - do let me knw that it's right or not..!!

Answer:

132 degrees

Step-by-step explanation:

360 - 65 - 86 -77

Answer:

y=10

Step-by-step explanation:

x=k/y

constant of proportionality

k=xy

k=5*6

k=30

therefore x=30/y

if x=3 y=?

y=30/3

y= 10

Answer:

600

Step-by-step explanation:

Hope this helps you bro.

We can set this up as a proportion.

[tex]\frac{6}{10}=\frac{x}{1000}[/tex] so 10x=6000 and x=600.

600 out of the 1000 people who went into the store, bought something.

Answer:

C

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation: took it on times4learning math assignment

Answer:

The total area is 685

Step-by-step explanation:

First get the area of the square; the area of the square is the height times the width. Because its a square all of its sides are equal, 15 times 15 equals 225. Next we go to figuring out the triangles´ area; the formula to figure out a triangles area is 0.5 times height times width. Because there are 4 of the exact same triangles we only have to figure out one and we have the area for each of them. 0.5 times 20 times 15 equals 115, with that information we are able to obtain all the information we need to discover the total area.

The area of the square: 225

The area of each of the triangles: 115

If there are 4 exact triangles of 115 then that equals all the triangles together to be 460, then add the square 460 plus 225 equals 685.

Hope this helps!!