In accordance with the function <em>velocity</em>, the car will have a complete stop after 6 seconds.
<h3>When does the car stop?</h3>
Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:
0.5 · t² - 10.5 · t + 45 = 0
t² - 21 · t + 90 = 0
By the <em>quadratic</em> formula we get the following two roots: t₁ = 15, t₂ = 6. The <em>stopping</em> time is the <em>least</em> root of the <em>quadratic</em> equation, that is, the car will have a complete stop after 6 seconds.
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Answer:
Length of hypotenuse = √( a² + b²)
Step-by-step explanation:
The question is incomplete and unclear. From the question, it is clear we are to determine the hypotenuse of the triangle. Hence the triangle is a right angled triangle.
Find attached the diagram used in solving the question.
From the diagram,
a = opposite
b = adjacent
c = hypotenuse
To find the hypotenuse of a right angled triangle, we apply Pythagoras theorem.
Using Pythagoras theorem
Hypotenuse² = opposite ² + adjacent²
Insert the values of each, we have:
c² = a² + b²
Then we find the Square root both sides
c = √( a² + b²)
So we can insert the values of a and b if we are given.
For instance, if b = 6
c = √( a² + 6²)
Using the diagram,
Hypotenuse: c = √( a² + b²)
Answer:
x=25
Step-by-step explanation:
Since x is added to 4 to equal 29, the equation will be:
x+4=29
Subtract 4 from both sides
x=25
Answer: The four angles will fit together at a point with no gaps.
Step-by-step explanation:
Given: The ratio of four angles 2:3:4:11.
Let the angles be 2x , 3x, 4x and 11x.
Larget angle= 11x
As per given,
Then,
All angles are :
Sum of all angles = they
Hence, the four angles will fit together at a point with no gaps.
Answer: 3.19
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Explanation:
S = sum of the siblings
Dividing this sum over the 25 students will give us the average of 3, so, S/25 = 3 which turns into S = 75 when we multiply both sides by 25.
S = 75 means adding up all of the students' sibling counts gets to 75 total.
A new student has 8 siblings, so the total goes to S+8 = 75+8 = 83
Divide this over the new count of 26 to get 83/26 = 3.1923076923077
this rounds to 3.19