This is an Acute Isosceles Triangle. Hope this helps :)
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = 
= 
= 
, then
∠ YZX = 
( ) ≈ 19.7° ( to 3 significant figures )
Answer:
slope (m) = -50 or -50x
Step-by-step Explanation
I'm assuming that the x-axis is divided by 1 minute segments.
The slope is defined as "the change in y-coordinate" divided by "the change in x-coordinate"
Since the y value is decreasing (negative) 50 feet per minute, then it is safe to say that the slope is -50 (feet)/ 1 minute
Therefore... the slope is -50 or -50x depending on the answer the assignment is looking for
Answer:
b) $475
Step-by-step explanation:
if it has a diameter of 22 feet, that means it has a radius of 11 feet
the formula of the area of a circle is πr². so square the radius and you will get 121, multiply that by π and you get 380
Now we know the area is 380 square feet, so multiply that by $1.25 and the answer is $475
Answer:
- y = 81-x
- the domain of P(x) is [0, 81]
- P is maximized at (x, y) = (54, 27)
Step-by-step explanation:
<u>Given</u>
- x plus y equals 81
- x and y are non-negative
<u>Find</u>
- P equals x squared y is maximized
<u>Solution</u>
a. Solve x plus y equals 81 for y.
y equals 81 minus x
__
b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.
P equals x squared left parenthesis 81 minus x right parenthesis
__
c. Find the domain of the function P found in part b.
left bracket 0 comma 81 right bracket
__
d. Find dP/dx. Solve the equation dP/dx = 0.
P = 81x² -x³
dP/dx = 162x -3x² = 3x(54 -x) = 0
The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...
P is maximized at (x, y) = (54, 27).
