#2: Her earnings were no more than $64. Let e represent her earnings. E is less than or equal to 64 (since it says no more than $64).
e ≤ 64.
#4: A checking account was no more than $500. Let a represent the amount in the checking account. A is less than or equal to 500.
a ≤ 500.
#5: Max. ceiling height of 8 ft is required. Let f represent length in feet. Length in feet has to be less than or equal to 8.
f ≤ 8.
#6: Min. number of 12 participants required. Let n represent the number of participants. There has to be at LEAST 12 participants. So, the number of participants has to be greater than or equal to 12.
n ≥ 12.
To find the area of the full shape, we can find the areas of individual smaller shapes and add them together. Lets break this up into a rectangle and a triangle.
The rectangle is easy to calculate as we already have its measurements. The area of a rectangle is h*w=A.
25*36=A
900=A
Next the triangle, and we need to do some logic work with the measurements to find the necessary measurements to take the area.
We know the base of the triangle is some part of 36 feet. We also know from the image that the part of the 36 that is not part of the base of the triangle is 12. Therefore, the base of the triangle is 36 - 12 = 24.
Now we need the height of the triangle. We know the height of the triangle is some part of 39, and the part that is not part of the triangle is 25. Therefore, the height of the triangle is 39 - 25 = 14.
We now have the height and base of the triangle and can find its area. The area of a triangle is 0.5wh=A.
0.5(24)(14)=A
168=A
Finally, we just need to add the two results together to find the total area.
168 + 900 = A
1068 = A
The total area of the shape is 1068.
Answer: Connect the two circles together using the compass.
Steps to inscribe an equilateral triangle into a circle:
1. You are given a circle with the center marked.
2. Draw a radius of the circle using your straightedge.
3. Keep your compass open to the width of the radius and place it on the point where the radius and circle intersect.
4. Swing an arc the length of the radius that intersects the circle to the left of the radius originally drawn.
5. Keeping your compass at the same width, place it on the new intersection point you created in the previous step.
6. Continue this process until six points of intersection exist on the circle.
7. Connect together the first, third, and fifth intersection points.
The correct answer to this question is 0.064.
Here's how to simplify the expression (0.4)^3.
We have to multiply 0.4 three times.
(0.4)^3 = <span>0.4 * 0.4 * 0.4
(0.4)^3 = 0.16 * 0.4
(0.4)^3 = 0.064
The simplified answer is 0.064</span>
Just 1.
I hope this helps and have a good night! :D
