What is the length of the hypotenuse?

( 78 -75 / 75 ) × 100 =

(3/75 )× 100 =

( 3 / 3 × 25 ) × 100 =

(1/25) × 100 =

100/25 =

% 4

Given:

The height of ball is represented by the below function:

[tex]h(t)=-16t^2+20t+24[/tex]

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

[tex]h(t)=-16t^2+20t+24[/tex]

At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].

[tex]-16t^2+20t+24=0[/tex]

Taking out greatest common factor.

[tex]-4(4t^2-5t-6)=0[/tex]

[tex]4t^2-5t-6=0[/tex]

Splitting the middle term, we get

[tex]4t^2-8t+3t-6=0[/tex]

[tex]4t(t-2)+3(t-2)=0[/tex]

[tex](t-2)(4t+3)=0[/tex]

Using zero product property, we get

[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]

[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]

Time cannot be negative, so [tex]t=2[/tex].

Therefore, the ball will reach the ground after 2 seconds.

893.2638

is this what you mean?

Answer:

56.5

Step-by-step explanation:

To find the perimeter of circle (circumference), we multiply Pi and our radius (half the length across the circle) and then multiply that by 2. perimeter = 2 · π · r

Multiply 18x2 to get 36. Multiply that by pi to get 56.54866776 ( just round to nearest tenth for simplicty ;) ) Therefore, our answer is 56.5

Answer:

312.5

Step-by-step explanation:

Is means equals and of means multiply

75 = 24% * n

Change to percent form

75 = .24 n

Divide each side by .24

75/ .24 = .24n/.24

312.5 = n

Answer:

20%

Step-by-step explanation:

total male = 14

total female = 16

total students 30

there are only 6 females that are juniors so the probability of picking one would be 6/30

and 6/30 is equal to 0.2 (divide)

and 0.2 is equal to 20% (move the decimal right two spaces)

Answer:

51

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 54 and the smallest number is 3

54-3 = 51

Answer:

Hello! answer: 7

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

therefore the missing leg is 7

Answer:

8.95

Step-by-step explanation:

Convert 12% into a decimal by dividing 12 by 100 to get 0.12. To find 12% of 7.99, multiply it by 0.12. However, since we want to know the total cost of the meal after the markup, an eaiser way is to multiply 7.99 x 1.12 (the 1 represents the original price of meal, since we are adding on to it). This is the more effective way to solve this, but another way would just be to take the result of 7.99 x 0.12 and add it to 7.99.

Note that the actual answer is 8.9488, but I rounded to the nearest hundreth.

Answer:

Solution,

Radius(r)=6 cm

Height(h)=20 cm

Volume of cylinder= pi (r)^2 h

=3.14*(6)^2*20

=3.14*36*20

=2260.8 cm^3

Hope it helps

Good luck on your assignment

Answer:

59cm^2

Step-by-step explanation:

first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2

hope this helps

Answer:

B

Step-by-step explanation:

It is necessary and the strategic way to collect the waste materials and separate them by material type before recycling. Hence, this is voluntary response bias. The survey overestimates community support for change to the recycling program.

Recycling is the process regenerating new products from the decomposed materials such as broken plastics, fuel from biowastes, glasses from broken glass parts etc.

Recycling technology is a nature genuine strategy and it helps to reduce the accumulation of wastes on earth surface. Not all people are aware of the significance of this method.

Therefore, the bias possible to be occur for the question is from voluntary response and the survey underestimates community support for change to the recycling program.

To find more on recycling, refer here:

https://brainly.com/question/11861824

#SPJ2

Answer:

15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)

Step-by-step explanation:

Answer:

Answer 1= 2 square

Answer 2= 33

Answer:

The measure of angle A is 48.4 degrees

Step-by-step explanation:

To find the measure of angle A, we are going to use the cosine rule

We have this as;

a^2 = b^2 + c^2 - 2bc Cos A

a^2 = 11^2 + 13^2 -2(11)(13) cos A

100 = 121 + 169- 286cos A

286 cos A = 290-100

286 cos A = 190

cos A = 190/286

cos A = 0.6643

A = arc cos 0.6643

A = 48.4 degrees

Answer:

a. x is 55

b. 20 white marbles

Step-by-step explanation:

Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)

a. The number of identical marbles in the box, n = 60

The number of red marbles = x

The number of white marbles = The rest of the marbles which are not red

The probability that a marble drawn is white, P(y) = 1/12

Let 'y' represent the number of white marbles

From probability theory, we have;

The number of white marbles, y = n × P(y) = 60 × 1/12 = 5

The number of red marbles, x = n - y = 60 - 5 = 55

x = 55

b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;

Let Δy represent the number of white marbles added, therefore;

P(y) = (y + Δy)/(y + Δy + x)

∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16

5 × (60 + Δy) = 16 × (5 + Δy)

300 + 5·Δy = 80 + 16·Δy

16·Δy - 5·Δy = 300 - 80

11·Δy = 220

Δy = 220/11 = 20

The number of white marbles that must be added, Δy = 20 white marbles

Answer:

x = 10.28

Step-by-step explanation:

sin = opp/hyp

sin 40 = x / 16

multiply both sides by 16

16 * sin40 = x

x = 10.284601754984629

Rounded

x = 10.28

Answer:

-81

Step-by-step explanation:

-3 ^4

The negative is not included in the exponent

- (3)^4

- 3*3*3*3

-81

Answer:

instead of finding x find an ps4

Step-by-step explanation:

like what

Answer:

9/25

Step-by-step explanation:

Answer:

$104850

Step-by-step explanation:

Given data

Principal=  $45,000

Time = 13 years

Rate= 6.75%

the compound interest expression is

A= P(1+r)^t

A=45000(1+0.0675)^13

A= 45000(1.0675)^13

A= 45000*2.33

A= $104850

Hence the final amount will be $104850

Answer:

3017.54

Step-by-step explanation:

Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2

Plug in the numbers 3.14 * 31 ^2

31 is half the diameter or the radius

Answer = 3017.54

Answer:

37.5%

Step-by-step explanation:

10 × cost price = 16 × selling price

cost price : selling price = 16 : 10

=8:5

loss % = (3/8)×100

=37.5%

Answer:

It's a loss

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

Answer:

I have not done this math in a while but I think it is -8

Step-by-step explanation:

Answer:

ok i will help .........

Answer: See the attached image for the answers. I've arranged the tiles in the proper order.

This is known as a five number summary.

=========================================================

Explanation:

The first thing to do is to sort the numbers from smallest to largest

You should get this set {2, 4, 7, 8, 16, 19, 21}

The middle most value is 8. So this is the median or the second quartile.

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

Split the data set into two lists like so

L = {2,4,7}

U = {16,19,21}

Everything in set L represents the lower set of values smaller than the median. Set U represents the upper set of values larger than the median.

Find the median of sets L and U to get 4 and 19 respectively. These represent the values of Q1 and Q3

Q1 = first quartile = lower quartile = 4

Q3 = third quartile = upper quartile = 19

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

As you can probably guess, the min and max are the smallest and largest values of the set. We can see that min = 2 and max = 21.