Answer:
Step-by-step explanation:
2x² -x - 6 = 2x² - 4x + 3x - 3*2
= 2x*(x - 2) + 3*(x - 2)
= (x-2)(2x + 3)
A = 2x² -x - 6
A = (x - 2)(2x + 3)
length*width = (x - 2)(2x + 3)
length * (2x +3) = (x - 2)(2x + 3)
length = x - 2
5. Consider a cylindrical flowerpot with a radius 6 cm and a height of 11.5 cm. Calculate the lateral surface area of the painte
1 answer:
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The image of the arrow is missing, so i have attached it.
Answer:
A_t = 69.5 cm²
Step-by-step explanation:
In a second image attached, I have divided the arrow into triangle and rectangle.
From the second image,
A1 is area of triangle while A2 is area of rectangle
Area of triangle is; A1 = ½bh
Our triangle base is given as 9 cm.
To get the height, we will subtract the rectangle height of 8 cm from the total arrow height.
Thus; height of triangle; h = 11 - 8 = 3cm
Thus;
A1 = ½ × 9 × 3
A1 = 13.5 cm²
Formula for area of rectangle is;
A2 = length × breadth
A2 = 8 × 7
A2 = 56 cm²
Thus, total area of arrow is;
A_t = A1 + A2 = 13.5 + 56
A_t = 69.5 cm²
Answer:
The probability that he picked 2 purpled socks is <u>0.33</u>.
Step-by-step explanation:
Given:
Number of purple socks,
Number of orange socks,
Two socks are picked without replacement.
Now, total number of socks,
Probability of picking the first cap as purple cap is given as:
Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.
Therefore, probability of picking the second cap as purple cap is given as:
Now, probability that both the picked caps are purple is given by their probability product. This gives,
Therefore, the probability that he picked 2 purpled socks is 0.33