What is the area of this parallelogram? 10.35 cm² 12.5 cm² 20.25 cm² 30.6 cm² Parallelogram A B C D is composed of a square and
two triangles. The square has a length and height of 4.5 centimeters each. There are two identical triangles. Each triangle has a base of 2.3 centimeters and a height of 4.5 centimeters.
2 answers:
Answer:
30.6 cm²
Step-by-step explanation:
Dividing the parallelogram into 2 geometry shapes:
Square
2 Right angle triangles
Area of a square, As = length^2
= 4.5^2
= 20.25 cm^2
Area of a right angle triangle, At = 1/2 × base × height
= 1/2 × 2.3 × 4.5
= 5.175 cm^2
Sinve there are 2 right angle triangle,
At = 2 × 5.175
= 10.35 cm^2
Total area of the parallelogram, Ap = area of the square + area of the 2 right angle triangle
= 10.35 + 20.25
= 30.6 cm^2
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Answer:
(A) 0.04
(B) 0.25
(C) 0.40
Step-by-step explanation:
Let R = drawing a red chips, G = drawing green chips and W = drawing white chips.
Given:
R = 8, G = 10 and W = 2.
Total number of chips = 8 + 10 + 2 = 20
As the chips are replaced after drawing the probability of selecting the second chip is independent of the probability of selecting the first chip.
(A)
Compute the probability of selecting a white chip on the first and a red on the second as follows:
Thus, the probability of selecting a white chip on the first and a red on the second is 0.04.
(B)
Compute the probability of selecting 2 green chips:
Thus, the probability of selecting 2 green chips is 0.25.
(C)
Compute the conditional probability of selecting a red chip given the first chip drawn was white as follows:
Thus, the probability of selecting a red chip given the first chip drawn was white is 0.40.