Answer:
Step-by-step explanation:
Right angle triangle. To find the length of AB use Pythagorean theorem.
AB² = 8² + 22²
= 64 + 484
= 548
AB = √548
= 23.41 cm
Im sorry wish i could help but the equation is a little confusing give me a few moments and i will figure out the answer okay?
Answer:
3 pizza slices.
Step-by-step explanation:
We have been given that Desmond ordered his favorite pizza with 12 slices. Sadly, he could finish only 75% of the whole pizza.
As Desmond ate 75% of 12 slices, so left number of slices will be equal to 25% of 12 slices.
Therefore, 3 pizza slices were left.
We want to expand (2x + y²)⁵.
From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.
n=0: 1
n=1: 1 1
n=2: 1 2 1
n=3: 1 3 3 1
n=4: 1 4 6 4 1
n=5: 1 5 10 10 5 1
Therefore the third term in the expansion is
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Answer: 80x³y⁴
Answer: 61 unit^2
Step-by-step explanation:
ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.
The four triangle areas:
TriD = 36
TriA = 6
TriB = 20
TriC = 9
Total area = 71 square units.
Subtract this from the rectangle's area: 132 - 71 = 61 units^2
This is the area of the shaded trapezoid.
