Answer:
The area is approximately 30.69 cm^2.
Step-by-step explanation:
To solve this problem, we first have to recognize that the side of the block is a rectangle with a semicircle missing. This means that to find the area, we must find the area of the rectangle and then subtract the area of the semicircle. Using the respective formulas, we get the following expression for area:
A = (length * width) - (1/2*pi*r^2)
Now, we must plug in the given values shown in the figure. The length is 9 cm, the width is 4.5 cm, and the diameter is 5 cm. However, the formula asks for the radius, which is simply half of the diameter, or 2.5 cm.
A = (9 cm * 4.5 cm) - (1/2 * 3.14 * (2.5 cm)^2)
Next, we should perform the operations indicated inside the parentheses.
A = 40.5 cm^2 - 9.81 cm^2
Finally, we can subtract the two values (this represents taking away the area of the semicircle from the rectangle).
A = 30.69 cm^2
Therefore, the area of the side is approximately 30.69 cm^2.
Hope this helps!
Answer:
1) 0.1667
2) 0.8333
3) 1
Step-by-step explanation:
Let A be the event that 3 is observed on the first trial.
Let B be the event that at least two trials are required to observe a 3
a) A six-sided die has 6 possible outcomes of 1,2,3,4,5,6
3 is one of the six possible outcomes
P(A) = no of favourable outcomes /no of possible outcomes
P(A) = 1/6 = 0.1667
b) The event of requiring at least two trials to observe a 3 is the event of not observing a 3 on the first trial.
P(B) = P(A')
P(A')= 1 - P(A)
P(B) = 1 - 1/6
= 5/6 = 0.8333
c) P(AnB) = P(A) + P(B)
= 1/6 + 5/6
= 6/6 = 1
Answer:
t = 8.017 or 0.608 (nearest hundredth)
Step-by-step explanation:
when h = 78:
Using quadratic formula:
The common denominator is 1
Given the expression:
Find the LCM of the numerator to have:
Simplify both the numerator and the denominator to have:
From the result, we can see that the common denominator is 1
Learn more about fractions here: brainly.com/question/17743912
