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stich3 [128]
2 years ago
11

Devin jumped off a cliff into the ocean in Acapulco while vacationing with his family. His height as a function of time could be

modeled by the function h(t)= -16t square root 2 +16t +96, where T is the time in seconds and H is the time in feet. How many seconds until Devon hit the water? Around to the nearest tenth is necessary.
Mathematics
1 answer:
sukhopar [10]2 years ago
7 0

Answer:

<em>3 seconds</em>

Step-by-step explanation:

Given the height modelled by the function

h(t) = -16t² + 16t + 96

The hit the water at h(t) = 0

0 = -16t² + 16t + 96

Divide through b y -16

0 = t² - t - 6

t² - t - 6 = 0

t² - 3t+2t - 6 = 0

t(t-3)+2(t-3) = 0

t+ 2 = 0 and t - 3 = 0

t = -2 secs and t = 3secs

Since t can't be negative, hence;

t = 3 secs

<em>hence it will take 3 seconds until Devon hit the water</em>

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The absolute value of a negative fraction is always greater than 1, true of false?!​
Fantom [35]

Answer: False

Step-by-step explanation: False because zero is negative or positive. The absolute value of any number could also include the absolute value of 0, which would be 0. Thus, the absolute value of any rational number is not always greater than zero, it can be zero as well. However, it is true that the absolute value of any rational number can never be negative.

Rational Number definition: Rationals contain whole numbers, integers, decimals, fractions, basically most numbers or any numbers.

6 0
2 years ago
On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
Fantom [35]

Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

<u>We need to determine how many centimeters represents 600 km. We will use the following formula:</u>

<u></u>

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

5 0
3 years ago
A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hyp
Crazy boy [7]

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06



Discussion:

From the triangle, not drawn too accurately  (see attachment)


sin(80) = side opposite /hypotenuse   =>

sin (80) =  4/c            =>       multiply both sides by "c"

c sin(80) = 4/c * c      =>      

c sin(80) = 4               =>      divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06


Thank you,

MrB

6 0
3 years ago
Gabriella ate 5 pieces of pie Daniel ate 2 slices if there was 3 reaming what fraction was the pie eaten
Simora [160]
10 total pieces of the pie
-5
-2
And only 3 remained so your answer would be
3/10
5 0
3 years ago
Read 2 more answers
Find the area of a circle with a circumference of 12.56 units
vagabundo [1.1K]

Answer:

a = 157.7536pi

Step-by-step explanation:

area = pi*circumference²

a = pi*12.56² = 157.7536*pi

however, if pi just equals 3.14:

probably around 495.346304

6 0
3 years ago
Read 2 more answers
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