Answer:
x = sqrt(105)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
16^2 + x^2 = 19^2
256 + x^2 = 361
x^2 = 361 -256
x^2 =105
Take the square root of each side
sqrt(x^2) = sqrt(105)
x = sqrt(105)
X time 0.8 (or 80 percent)= 15
so 15/0.8=X
18.75
Answer:
True answer: -24
Step-by-step explanation:
<em><u>Showing the error</u></em>
-16-2(-2) – 12 First you need to multiply
8(-2) - 12 The error here is that the wrong numbers are multiplied together
-16-12 Add the negatives together
-28 Your answer (the incorrect one)
<em><u /></em>
<em><u>The correct way of solving it</u></em>
-16 -2(-2) - 12 Multiply into the parenthesis
-16 + 4 -12 Add the first two numbers
-12 - 12 Add the numbers together
-24 The answer
Answer:
a.) 1.38 seconds
b.) 17.59ft
Step-by-step explanation:
h(t) = -16t^2 + 22.08t + 6
if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.
to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex
-b/2a
b=22.08
a=-16
-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds
now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.
h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.
approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.
for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.
The answer is 19
First you must set up the equation
÷
First, you must make the mixed number a improper fraction
÷
Then you must divide

Finally, simplify
19