A missile is fired such that its height above the ground is given by h=-9.8t^2+38.2t+6.5, where t represents the number of seconds since the rocket was fired. Using the quadratic formula, determine, to the nearest tenth of a second, when the rocket will hit the ground.
Please I need help with this question
Answers
Answer:
4.1 sec
Step-by-step explanation:
-9.8t^2 +38.2t + 6.5 = 0
t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]
= [tex]\frac{-79.6}{-19.6}[/tex]
= 4.1
The rocket will hit the ground at 0.2 seconds
FunctionThe function is given as:
[tex]h=-9.8t^2+38.2t+6.5[/tex]
When the missile hits the ground, the value of height is 0
This means that:
[tex]h = 0[/tex]
So, we have:
[tex]-9.8t^2+38.2t+6.5 = 0[/tex]
GraphNext, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
From the attached graph, we have:
[tex]t = (0.163, -4.061)[/tex]
Approximate
[tex]t = (0.2, -4.1)[/tex]
Time cannot be negative.
So, we have:
[tex]t = 0.2[/tex]
Hence, the rocket will hit the ground at 0.2 seconds
Read more about height functions at:
https://brainly.com/question/10837575
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find the missing side length of the right triangle below. Round your answer to the nearest tenth.
Answers
Answer:
24.4
Step-by-step explanation:
14² + 20² = c²
196 + 400 = 596
√596 = 24.4
John is putting a fence around his garden that is shaped like a half circle and a rectangle.How much fencing will John need? Use for .32 ft39 ft46 ft57 ft
Answers
Answer:
The perimeter of the garden = 46 ft
Step-by-step explanation:
The exact question is as follows :
Given - John is putting a fence around his garden that is shaped like a half circle and a rectangle.
A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.
To find - How much fencing will John need? Use 22 over 7 for Pi.
A. 32 ft
B. 39 ft
C. 46 ft
D. 57 ft
Solution -
The figure is as follows :
The perimeter of the garden is equal to sum three sides of the rectangle plus the circumference of a semicircle
Now,
Given that,
Length of Rectangle = 14 feet
Breadth of Rectangle = 7 feet
Now,
Sum of three sides of Rectangle = 14 + 14 + 7
= 35
Now,
Circumference of Semicircle = (1/2)[tex]\pi[/tex] D where D is the diameter
So,
Circumference of Semicircle = (1/2)(22/7)(7)
= 11
⇒Circumference of Semicircle = 11
So,
The perimeter of the garden = 35 + 11
= 46 ft
⇒The perimeter of the garden = 46 ft
An object moves in simple harmonic motion with amplitude 15m and period 4 minutes. At time t=0 minutes, its displacement from rest is , and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t
Answers
Step by step explanation
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Answer:
evaluate parenthesis first:
67/100(consider 67% out of 100) x 119 = 79.73
Answer:
79.73
Step-by-step explanation:
First, it would be finding 67% of 119
Then we find 10% = 11.9 and 1% = 1.19
The 11.9 multiplied by 6 to equal 71.4 and 1.19 multiplied by 7 to equal 8.33
Then add 71.4 and 8.33 to get the answer of 79.73.
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Answer:
look at the picture i sent
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Answers
5 for the first one and 7 for the second hope this helps
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Answer:
i- alrighty then
Step-by-step explanation:
You randomly choose one of the tiles and flip the coin. Find the probability of the compound event. The probability of choosing a blue tile and tails
Answers
Answer:
2/7
Step-by-step explanation:
The probability of getting tails is 1/2 or 50%;
There are 7 tiles, 4 of them are blue; getting a blue tile has a 4/7 probability.
Multiply the fractions:
1/2*4/7= 4/14 or 2/7
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Answers
Answer:
Answer is D
Step-by-step explanation:
Got 100%
Answer:
D: 2+14+98+686
Step-by-step explanation:
Correct on edge quiz.
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Answer:
B sqrt(17)
Step-by-step explanation:
Using pythagoras theorem
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Answer:
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Step-by-step explanation:
35 x 345 = 12075
Answer:
12075
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476?
Answers
So you first make an equation where
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Multiply first equation by -2 to cancel out the a after addition
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CAN SOMEONE DO THIS FOR ME I WOULD REALLY APPRECIATE IT
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ugh
Step-by-step explanation:
Which of the following is equivalent to 3^4?
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Answers
Answer:
81, Option 2.
Step-by-step explanation:
[tex]3^{4}[/tex] means 3 x 3 x 3 x 3, that is 3 multiplied 4 times with itself.
Here's how to do it:-
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Answers
find simple interest
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-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
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Answers
Answer:
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(P.S, i dunno if i got it right or not should be correct tho)
Step-by-step explanation:
15 km divide 0.06 for every life guard. therefore, there are 250 lifeguards
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0.06 x 15 = 0.9
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Answers
Answer:
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Step-by-step explanation:
221-68=153
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What is an equation?The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.
We have an equation,
221 = x + 68
x = 221 - 68
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In 153,
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To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answer: it did mine god blesses you
Step-by-step explanation:
Answer:
Step-by-step explanation:
it did brighten my day