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4 years ago

A ball is thrown from an initial height of

1 answer:

6 0

We are using simple gravity as a constant (ignoring air resistance and change in height)

a=-g integrating with respect to t

v=-gt+C where C is the initial velocity...

v=-gt+29 integrating again with respect to time...

h=(-gt^2)/2+29t+C where C is the initial height of the ball...

h(t)=-16t^2+29t+4

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What’s the answer for square yardssss????

Kobotan [32]

Answer:

see below

Step-by-step explanation:

4 quarts for 12 square yards means the constant of proportionality is 3 square yards per quart.

y = 3x

Fill in x=5 to find the square yards for 5 quarts:

y = 3·5 = 15

Mona can clean 15 square yards with 5 quarts.

7 0

3 years ago

I’m confused on if I have to multiple decimals or not.

Luba_88 [7]

x and y varies directly and the equation will be: y=480.x

Step-by-step explanation:

We need to write the equation to represent the relationship between x and y

We can find if x and y varies directly or indirectly.

Checking if x and y varies directly

if x and y varies directly then y=kx or y/x = k then k is constant

if x=2 and y=960 then k is:

k=y/x= 960/2 = 480

if x=2 and y=960 then k is:

k=y/x = 1440/3=480

if x=2 and y=960 then k is:

k=y/x= 2880/6=480

if x=2 and y=960 then k is:

k=y/x=3840/8 = 480

Since y/x = 480 for every value of y and x in the table, so x and y varies directly and the equation will be:

y= kx

y=480.x

Keywords: Finding Relationship between x and y

Learn more about finding relationship between x and y at:

#learnwithBrainly

8 0

3 years ago

Find the area of the composite figure.

Roman55 [17]

Answer:

The Area of the composite figure would be 76.26 in^2

Step-by-step explanation:

According to the Figure Given:

Total Horizontal Distance = 14 in

Length = 6 in

To Find :

The Area of the composite figure

Solution:

Firstly we need to find the area of Rectangular part.

So We know that,

$\boxed{ \rm \: Area \: of \: Rectangle = Length×Breadth}$

Here, Length is 6 in but the breadth is unknown.

To Find out the breadth, we’ll use this formula:

$\boxed{\rm \: Breadth = total \: distance - Radius}$

According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,

$\longrightarrow\rm \: Length \: of \: the \: circle = Radius$

Since Length = 6 in ;

$\longrightarrow \rm \: 6 \: in = radius$

Hence Radius is 6 in.

So Substitute the value of Total distance and Radius:

Total Horizontal Distance= 14
Radius = 6

$\longrightarrow\rm \: Breadth = 14-6$

$\longrightarrow\rm \: Breadth = 8 \: in$

Hence, the Breadth is 8 in.

Then, Substitute the values of Length and Breadth in the formula of Rectangle :

Length = 6
Breadth = 8

$\longrightarrow\rm \: Area \: of \: Rectangle = 6 \times 8$

$\longrightarrow \rm \: Area \: of \: Rectangle = 48 \: in {}^{2}$

Then, We need to find the area of Quarter circle :

We know that,

$\boxed{\rm Area_{(Quarter \; Circle) } = \cfrac{\pi{r} {}^{2} }{4}}$

Now Substitute their values:

r = radius = 6
π = 3.14

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 6 {}^{2} }{4}$

Solve it.

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 36}{4}$

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4}$

$\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9$

$\longrightarrow\rm Area_{(Quarter \; Circle) } = 28.26 \: {in}^{2}$

Now we can Find out the total Area of composite figure:

We know that,

$\boxed{ \rm \: Area_{(Composite Figure)} =Area_{(rectangle)}+ Area_{ (Quarter Circle)}}$

So Substitute their values:

$\rm Area_{(rectangle)}$ = 48
$\rm Area_{(Quarter Circle)}$ = 28.26

$\longrightarrow \rm \: Area_{(Composite Figure)} =48 + 28 .26$

Solve it.

$\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}}$

Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.

$\rule{225pt}{2pt}$

I hope this helps!

3 0

2 years ago

At a fundraiser, a school group charges $9 for tickets for a "grab bag." You choose one bill at random from a bag that contains

bazaltina [42]

Answer:

3/9

Step-by-step explanation:

6 0

3 years ago

If any one could help me and explain how they would do this it would make my entire day it has to be a fraction please I can not

Mrrafil [7]

So slope intercept form is y=mx+b m is the slope and b is the y intercept. The equation of this line would be y=1/4x+2 because the rise over run (slope) is 2/8 or 1/4 and the line intercepts the y axis at 2.

8 0

3 years ago

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