<span>-7 x (-9) = +63
because if we multiply negative by negative we obtain +</span>
Answer:
- w = 8
- x = 8√2
- y = 8√2
- z = 16
Step-by-step explanation:
A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.
w = 8 . . . . . . . . . . . same as the leg length shown
x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same
z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle
Answer:
56.7
Step-by-step explanation:
We know
mean = sum / count, with count being the amount of papers corrected in this case. We want to find the sum of all the papers as well as the count to figure out the mean of all papers.
For Tony's papers,
mean = sum / count
50 = sum / 40
multiply both sides by 40 to isolate the sum
sum = 50 * 40 = 2000
For Alice's papers,
mean = sum / count
70 = sum / 20
multiply both sides by 20 to isolate the sum
70 * 20 = sum = 1400
The total sum of all 60 papers is equal to the sum of 40 papers + the sum of the remaining 20 papers, or 2000 + 1400 = 3400. The mean of the 60 papers is therefore
mean = sum / count
mean = 3400/60 ≈ 56.7
Answer:
4x+8
6x-8
Step-by-step explanation:
a) 4(x + 2)=4x+8
b) 2(3x - 4) =6x-8
c) 4(3 - 6x) 2x + 18-2(2 – 3x)
Answer:
Perimeter of the given figure = 28 units
Step-by-step explanation:
Perimeter of the given figure = Length of AB + Length of BC + Length of CD + Length of DE + Length of EF + Length of FG + Length of GH + Length of AH
Length of AB = 4.5 units
Length of BC = 2 units
Length of CD = 2 units
Length of DE = 4 units
Length of EF = 5.5 units
Length of FG = 1.5 units
Length of HG = 1 units
Length of AH = 7.5 units
Perimeter of ABCDEFGH = 4.5 + 2 + 2 + 4 + 5.5 + 1.5 + 1 + 7.5
= 28 units
