Answer:
The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square
Step-by-step explanation:
= π/9
Answer:
The range of this function is {-13, -1, 15}.
Step-by-step explanation:
Evaluate f(x) = 4x - 1 at {-3, 0, 4}:
f(-3) = -13
f(0) = -1
f(4) = 15
The range of this function is {-13, -1, 15}.
9514 1404 393
Answer:
- area: 114 square units
- perimeter: 44 units
Step-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
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The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter
Answer:
Step-by-step explanation:
Mariam is making two types of paper lanterns. One type of flashlight needs 0.75 square feet of cardboard, while the other needs 1.15 square feet. If she made 5 of each type of flashlight, it means that
For the first type flashlight that she made, she used 0.75 × 5 = 3.75 square feet of cardboard.
For the second type of flashlight she made, she used 1.15 × 5 = 5.75 square feet of cardboard.
Total amount of cardboard used is
3.75 + 5.75 = 9.5 square feet
Mariam has 12.75 square feet of paper left over. Assuming the total square feet of cardboard that she used is x, then x = amount of cardboard used + the amount that is left over. It becomes
x = 9.5 + 12.75 = 22.25 square feet
She used 22.25 square feet
Answer:
1/3(3.14)2^2(24)
Step-by-step explanation:
The volume of a cone is given by the formula;
1/3πr³
Considering the radius is 2 cm and the height is 24 cm (4 times the diameter).
Therefore;
Volume = 1/2(3.14)2²(24)
This can be used to calculate the volume.
