Answer:
45% male teachers
55% female teachers
Step-by-step explanation:
multiply the number of teachers with 100 and divide it by the total number of teachers
Answer:
One
Step-by-step explanation:
9/sin(34) = 6/sinC
sinC = 0.372795269
C = 21.9, 158.1
Since 158.1 + 34 = 192.1 > 180
Only one triangle can be formed with angle 21.9° at C
That funky circle in the middle is the composition of the function. It asks you to take a function as an input and to yield an output that's another function. It's one of the five function operations, along with adding, subtracting, multiplying, and dividing.
When you compose, you might find the notation w(u(x)) easier to understand. It's saying evaluate u then evaluate w.
For our functions, the compositions are:
u(w(x)) = u(2x²) = -(2x²) - 2 = -2x² - 2
w(u(x)) = w(-x - 2) = 2(-x - 2)² = 2(x² + 4x + 4) = =2x²+ 8x +8
Now we evaluate each composition at 4.
u(w(4)) = -2(4²) - 2 = -2(16) - 2 = -32 -2 = -34
w(u(4)) = -2(2²) +8(2) + 8 = -2(4) + 16 + 8 = -8 + 16 + 8 = 16.
Thus, u(w(4)) = -34 and w(u(4)) = 16.
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know that the hypotenuse squared is equal to the sum of its squared sides.
h^2=x^2+y^2
Here y=25 and x=8 so
h^2=25^2+8^2
h^2=625+64
h^2=689
h=26.25 ft
They obviously rounded to nearest whole foot.
So Carrie is correct in saying the ladder should be 26 feet.
