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!
We need to find the hypotenuse of the triangle. We can find that by using the Pythagorean theorem: a² + b² = c²
Solve with the given values of the triangle:
2² + 4² = c²
4 + 16 = c²
20 = c²
√20 = √c²
4.47 ≈ c
Find the area of the square using: A = bh
4.47 * 4.47 = 19.9809
Therefore, the area of the square is approximately 19.9809units²
Best of Luck!
Got this from a quizlet
the answers B : <B~=<Y
ABC~ZYX by the SAS similarity theorem.
Answer:
its probably 6×2=12 times
coin has 2 sides
dice has 6 faces
First we need to multiply to make the fractions have equal denominators so we can add/subtract.
math: 1/3 x 4/4=4/12
science: 1/4 x 3/3=3/12
Now we can find the time she spent on history (I assume this is what you are looking for)
Total time-math time<span>-science time=history time</span>
12/12-4/12-3/12
=5/12
Amy spent 5/12 of her time working on history.