Answer:
12.8 m
Step-by-step explanation:
From the diagram :
Height PR = 19m
Using Pythagoras :
From triangle PQR:
QR = x
Tan θ = opposite / Adjacent
Tan 22° = x / 19
x = tan 22° * 19
x = 0.4040262 * 19
x = 7.6764982 m
From triangle PRS:
SR = y
Tan θ = opposite / Adjacent
Tan 15° = y / 19
y = tan 15° * 19
y = 0.2679491 * 19
y = 5.0910346
Height of entire screen :
(7.6764982 + 5.0910346) m
= 12.7675328 m
= 12.8 m
300 cookies were ordered to start.
We can tell this because we know 12% is equal to 36. Because this is true, we can set up a proportion to solve. All proportions can be set up with the small number on top and the total on the bottom. This will help you solve for the missing number, which is in this case the total number of cookies. Let x be the total number of cookies.
Percentage/total percentage = cookies/cookies total
12/100 = 36/x
Now we can cross multiply to solve.
(100)(36) = (12)(x) ----> multiply
3600 = 12x ---> divide by 12
300 = x
Answer:
see the explanation
Step-by-step explanation:
we have the quadratic equation

This is a vertical parabola open downward
The vertex is a maximum
Find the x-intercepts of the quadratic equation
The x-intercepts are the values of x when the value of y is equal to zero
so
For y=0

Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to

in this problem we have
so

substitute in the formula





therefore
This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet
b) five more than m
"m in addition to 5"= m+5