Answer:
35 ft²
Step-by-step explanation:
The shape is a triangle and its area is given by the formula below:
Area of triangle= ½ ×base ×height
Do note that the height has to be the perpendicular height, which is 5 ft in this case.
Area of triangle
= ½(14)(5)
= 35 ft²
Answer:
m < 2 = 38°
Step-by-step explanation:
The exterior angle with the measure of < 38° corresponds to m < 2 (as they are corresponding angles that lie on the same side of the transversal). Therefore, m < 2 = 38°.
Answer: -54
Step-by-step explanation:
The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1
where,
a = first term = -2
r = common ratio = 3
n = number of terms = 4
The solution has been attached. The answer is -54
Answer: 40/81
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Work Shown:
B = selecting 1 blue
R = selecting 1 red
P(B) = 5/9, since there are 5 blue out of 5+4 = 9 total
P(R) = 4/9, since there are 4 red out of 9 total
P(2 blue) = P(B)*P(B) = (5/9)*(5/9) = 25/81
P(2 red) = P(R)*P(R) = (4/9)*(4/9) = 16/81
The last two equations are valid because we are sampling with replacement. Each selection is independent.
-------------------
P(2 same color) = P(2 blue OR 2 red)
P(2 same color) = P(2 blue) + P(2 red)
P(2 same color) = 25/81 + 16/81
P(2 same color) = (25+16)/81
P(2 same color) = 41/81
-------------------
P(2 different color) = 1 - P(2 same color)
P(2 different color) = 1 - 41/81
P(2 different color) = 81/81 - 41/81
P(2 different color) = (81-41)/81
P(2 different color) = 40/81
Answer:
4x³ + 4x² + 5
Step-by-step explanation:
3x³ - 2x + 8 + 2x² + 5x + x³ + 2x² - 3x - 3.
4x³ - 2x + 8 + 2x² + 5x + 2x² - 3x - 3
4x³ + 4x² - 2x + 8 + 5x - 3x - 3
4x³ + 4x² + 8 - 3
4x³ + 4x² + 5
