Answer: The correct answer is option A: 88 square inches
Step-by-step explanation: The figure upon careful observation has been divided into three parts. One part is a rectangle with dimensions;
Length = 16
Width = 4
The area of the rectangle now becomes;
Area = L x W
Area = 16 x 4
Area = 64
Looking at the two triangles, we can see that they are identical. The dimensions given are;
Base = 8
Height = 3
(The height is derived by 7 inches - 4 inches)
Area of the triangle is now determined as follows;
Area = 1/2(b x h)
Area = 1/2(8 x 3)
Area = 1/2(24)
Area = 12.
Remember that we have two identical triangles, hence the area of both of them equals 12 x 2 and that equals 24
Therefore, the area of the entire figure is calculated as;
Area = 64 + 24
Area = 88 square inches
To start this, you would multiply 5/8 by 100 because you’re looking for a percentage.
5/8 x 100 = 62.5%
Answer:
B) x^(5/3)*y^(1/3)
Step-by-step explanation:
Taking the cube root of a number is the same as raising it to the 1/3 power:
∛x=x^1/3
∛(x⁵y) = x^(5(1/3))*y^(1/3)=x^(5/3)*y^(1/3)
Remember to multiply exponents when raising an exponent to an exponent and distribute the 1/3 to each exponent!
You would solve this by determining how many numbers from 1-10 can be multiples of 5. That's obviously 5 and 10. So that's 2/10 or reduced to 1/5. Now the second question you have to find how many numbers from 1-10 are prime. Prime is a number that can only be divided by 1 and itself. So that would leave you with 1, 3, 5, 7. I think where the trick comes into play is if you drew a 5 or 10 the first time, then you didn't place those cards back in the box, you couldn't draw them again. So the answer would 4/10 or 2/5 if you could draw the 5 again. Or I supposed if you had drew the 10 the first time and not the 5. I assume however, they want you to exclude 5 and 10 because it was part of the first section of this equation. So that would mean only 1, 3, and 7 or 3/10.