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ankoles [38]
2 years ago
14

Prove that: (1 + Tan²A) Cos²A = 1​

Mathematics
1 answer:
Artyom0805 [142]2 years ago
6 0

Step-by-step explanation:

=(1+ sin^2 A/cos^2 A).cos^2 A

=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A

=[1/cos^2 a] . cos^2 a

=1

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How many batting lineups are there for nine players of a baseball team if the center fielder must bat fourth, the second baseman
OLga [1]

The number of possible batting lineups is 720

<u><em>Explanation</em></u>

Total number of players in the team = 9

The center fielder must bat fourth, the second baseman must bat third and the pitcher last. That means, <u>3 slots in the batting line-up are already assigned to 3 players</u>.

So, the remaining (9 - 3) = 6 players will be assigned to remaining 6 slots.

Thus, the possible number of ways so that 6 players can be assigned to 6 slots will be:  6! = 6*5*4*3*2*1=720

4 0
3 years ago
The product of x and 8 is not less than 16
Marrrta [24]

Answer:

x ≥ 2

Step-by-step explanation:

The inequality would be: <em>x * 8 ≥ 16</em>

8x ≥ 16

x ≥ 16/8

<u>x ≥ 2</u>

Hope this helps!

5 0
3 years ago
Read 2 more answers
What is the volume of this rectangular prism, given the area of the base is 14
GREYUIT [131]

Answer:

Wow, I'm learning this in class right now lol, the answer is C, 42cm cubed.

Step-by-step explanation:

The formula for finding volume fo 3d shapes is area of base x height/length.

In this problem, they give you both of those. 14 x 3 = 42, so the answer is C.

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

5 0
2 years ago
The expression 6+16k factored using the GCF is what???????
tatiyna

Answer:

2(3 + 8k)

Step-by-step explanation:

given : 6+16k

note that the GCF of 6 and 16 is 2, hence we can factor 2 out of the expression

6+16k

= (2)(3) + (2)(8k)

= 2(3 + 8k)

4 0
3 years ago
The cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches. What is the approximate lateral a
Bond [772]

Answer:47

Step-by-step explanation:

4 0
3 years ago
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