Answer: H. 22 centimeters
Step-by-step explanation:
A right angle triangle is formed. To determine w, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
From the diagram,
Hypotenuse = 17 cm
Opposite side = 8 cm
Adjacent side = w - 7
Therefore,
17² = 8² + (w - 7)²
289 = 64 + (w - 7)²
289 - 64 = (w - 7)²
225 = (w - 7)²
Taking square root of both sides if the equation, it becomes
w - 7 = √225 = 15
w = 15 + 7
w = 22 cm
Answer:
A.
Step-by-step explanation:
Sets A and C have a mode of 12 and a median of 12.
Calculate the means:
Set A: Mean = (8+10+12+12+14+16 ) / 6 = 12
Set C: Mean = (6 + 6 +12+12+18+24 ) / 6 = 13
So the required set is A.
Answer:
X=1
Step-by-step explanation:
You want to start by collecting like terms (6x and 5x) which creates:
x+1=2
Move the constant to the right hand side and change the sign:
x=2-1
Calculate
x=1
To get the average in this case, divide 30 by 5:
30 hrs ÷ 5 days = 6 hrs/day