Select the correct answer. Which expression is equivalent to x + y + x + y + 3(y + 5)?
2 answers:
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For the given triangle, the cosine of angle A equals .
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9 units, the adjacent side has a length of 3√3 units while the hypotenuse of the triangle measures 6√3 units. To calculate the cosine of angle A we divide the adjacent side by the hypotenuse side.
cos A = .
Step 2; Length of the adjacent side = 3√3 units.
Length of the hypotenuse side = 6√3 units.
cos A = 3√3 / 6√3
cos A = .
To check we also have A = 60° and cos 60° = .
Answer:
a) i) The probability depends on the total number of counters not on the number of colors.
ii) There are 10 number of counters not 4
b)
Step-by-step explanation:
Given that:
Total number of counters in a bag = 10
Number of red counters = 4
Number of green counters = 3
Number of pink counters = 2
Number of blue counters = 1
a) Ella writes: "There are four colors, so the probability of selecting a green is , so the probability is
"
Ella has considered the total type of counters here, which is 4.
But Ella must have considered total number of counters which is 10.
i) The probability depends on the total number of counters not on the number of colors.
ii) There are 10 number of counters not 4
b) There are 4 colors in the bag.
Formula for probability of an event E can be observed as:
To select 2 counters of the same color:
The required probability will be the sum of all 4 above probabilities:
Answer:
Step-by-step explanation:
(1) (x-2+2i) (x-2-2i)
Multiply each term inside second parenthesis
Combine like terms. the value of i^2=-1
(2) (x+2i)(x-2i)
Replace i^2 by -1
(3) (x+1+i)(x+1-i)
Multiply each term inside second parenthesis
Combine like terms. the value of i^2=-1