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Sloan [31]
3 years ago
11

An object is thrown upward from the top of a building with an initial velocity of 48 feet per second. The height h of the object

after t seconds is given by the quadratic equation When will the object hit the ground?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

5 secs

Step-by-step explanation:

The height of the object is given as:

h = -16t^2+48t+160

The moment when the object hits the ground, the height of the object will be 0 m.

Hence:

0 = -16t^2+48t+160

Solving this for t:

Divide through by 16 and move all parameters to the left hand side:

t^2-3t-10 = 0

t^2 - 5t + 2t - 10 = 0\\\\\\t(t - 5) + 2(t - 5) = 0\\\\\\(t + 2)(t - 5) = 0\\\\\\=> t = -2, 5

Since time cannot be negative, time, t = 5 secs.

The object will hit the ground after 5 secs.

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Denise provides water for the runners at her schools 10K road race. She has a container that holds 678 ounces of water. How many
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divide total ounces by the amount each cup can hold

678 / 8 = 84.75

 so they can fill 84 cups

8 0
3 years ago
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What number should be added to both sides of the equation to complete the square?
AnnyKZ [126]
I think its 2 cuz i think its 6^2
5 0
3 years ago
Im really confused can somebody explain this?
vovikov84 [41]

<u>Given</u>:

The given ratio is 16 : 12

We need to determine three ratios that are equivalent to the given ratio.

<u>Option A</u>: 8:6

The given ratio is 16 : 12

Let us divide the given ratio 16 : 12 by 2.

Thus, we have;

8:6

Hence, the expression 8:6 is equivalent to 16 : 12

Thus, Option A is the correct answer.

<u>Option B</u>: 32:24

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio 16 : 12 by 2, we get;

32:24

Thus, the expression 32:24 is equivalent to 16 : 12

Hence, Option B is the correct answer.

<u>Option C</u>: 4:3

Let us divide the given ratio 16 : 12 by 4.

Thus, we have;

4:3

Thus, the expression 4:3 is equivalent to 16 : 12

Hence, Option C is the correct answer.

<u>Option D</u>: 12:8

The number 12 goes by 16 in \frac{3}{4} times and the number 8 goes by 12 in \frac{2}{3} times.

The ratios are multiplied by different numbers.

Thus, the expression 12:8 is not equivalent to 16 : 12

Hence, Option D is not the correct answer.

<u>Option E</u>: 24:16

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression 24:16 is not equivalent to 16 : 12

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C

5 0
3 years ago
ASAP!
ANTONII [103]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The value of x is 10. Thus, the correct option is B.

<h3>What are Similar Figures?</h3>

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Since the two prisms are similar, their sides will be in a common ratio. The value of the common ratio will be,

Common ratio = 4/2 = 5/2.5 = 3/1.5 = 2

Since the common ratio of every side is equal to 2, the value of x can be written as,

Common Ratio = 20/x = 2

20/x = 2

x = 10

Hence, the value of x is 10. Thus, the correct option is B.

Learn more about Similar Figures:

brainly.com/question/11315705

#SPJ1

3 0
1 year ago
Given one factor of the polynomial, factor the polynomial completely.
astraxan [27]

Answer:

The factors are (x  - 1)(x - 5)(x + 2).

Step-by-step explanation:

Long division:

x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.

        x^3 - 5x^2

                   x^2 - 7x

                    x^2 - 5x

                           - 2x + 10

                            -2x + 10

                              ...........

x^ 2 + x - 2 = (x + 2)(x - 1).

7 0
3 years ago
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