Step-by-step explanation:
there is something wrong with your question.
there is no parallelogram with 8 and 6 ft side lengths that has an area of 54 ft².
the maximum area of a parallelogram with 8 and 6 ft side lengths is 48 ft². and that is a rectangle 8×6 as a special form of a parallelogram.
the area of any parallelogram is calculated
Ap = base length × height
and height is the length of the line perpendicular to the base line to one of the corners on the opposite side (as long as the base line).
if Ap = 54, and the base length is 8, this means
54 = 8 × height
height = 54/8 = 6.75 ft
but the height can only be the length of a side connected to the base line or less. not longer.
and in our example here, this connected side is 6. so, the height can only be 6 or less. not 6.75.
so, there must be something wrong with your numbers.
once you get the actual numbers, use my approach above with them (replace whatever number is wrong here by the true value).
Answer:
1
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
The time commuting between home and work is 6mi
Probability (the engineer is at least 2mi from home) means that the engineer is either 2mi from home or more than 2mi from home
Probability (the engineer is 2mi from home) = 2/6
Probability (the engineer is more than 2mi from home) = 1 - 2/6 = (6-2)/6 = 4/6
Probability (the engineer is at least 2mi from home) = 2/6 + 4/6 = 6/6 = 1
Answer:
B. 12 + 2pi cm
Step-by-step explanation:
The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.
The circle's circumference can be found by using the equation c = (d)pi
The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.
Add them all together, and you get 12 + 2pi cm.
243log(81x)=48
log(81x)=48÷243
log(81x)=16÷81
81x=10^(16÷81)
81x= 81sqaure root pf 10^16
divide by 81
x =.0194557
