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ICE Princess25 [194]
3 years ago
12

Cos^2 θ (1 + tan^2 θ) = 1 I need to know all the steps for verifying the identity

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
7 0
Cos²Ф(1+tan²Ф) = 1

We know that (1+tan²Ф) = 1/cos²Ф

Plug in: cos²Ф(1/cos²Ф) = 1
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(1, 3) and (-3, -5)<br> write a linear equation given the two points
Firlakuza [10]

Answer:

y = 2x + 1

Step-by-step explanation:

1. Find the slope;  (change in y values)/(change in x values)

Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2

2. Find the y-intercept (b) using  the slope intercept formula: y = mx + b

    m = 2 and using point (1, 3) , solve for "b"

       y = mx + b

       3 = 2(1) + b

       3 = 2 + b

      1 = b

3.  Write the linear equation: y = 2x + 1

7 0
3 years ago
A 5-digit combination lock with digits 0-9 can be opened only if a correct combination of digits is chosen. Find the probability
stepladder [879]

A. 5 digit code with digits from 0-9 with no repetition.

Choices for 1st digit=10, and choices for successive digits are 9,8,7,6.

Probability of guessing it correctly on first try is

1/(10*9*8*7*6) = 1/30240

B. If zero is not in the combinations, then the domain of digits is 1-9, or 9 choices. Digits can repeat means every digit in the code has 9 choices.

Number of arrangements = 9^5 = 59049

Probability of guessing at first try = 1/59049

3 0
3 years ago
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Khalil with me six times as many baskets at John during basketball practice
ycow [4]

Answer:

Step-by-step explanation:

how many baskets does john have?

8 0
3 years ago
Dorothy and Rosanne are baking cookies for a party. Working alone, Rosanne can finish the cookies in 6 hours. Dorothy can finish
garik1379 [7]

Answer:

It will take them 3.43 hours.

Step-by-step explanation:

Let T denote the total cookies that need to be cocked. Observe that:

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Then, by 1) and 2), if they work together would we able to make

\frac{T}{6}+\frac{T}{8}=\frac{8T+6T}{48}=\frac{14}{48}T=\frac{7}{24}T

cookies per hour.

Therefore, in order to finish the T cookies they will need \frac{24}{7}\approx3.43 hours

3 0
4 years ago
Compute the amount of interest earned in the following simple interest problem. A deposit of $5,000 at 8.5% for 120 days = _____
sattari [20]
Hello!

The answer is, 

140.25.

Hope this helps,

:)
8 0
4 years ago
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