Use the fundamental identities to simplify the expression. There is more than one correct form of the answer.7 sec^2 x(1 − sin^2 x)

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Answer 1
Answer: The fundamental identities that are useful are

Pythagorean relations: cos^2 x + sin^2 x = 1
Inverse trigo identity: cos x = 1/secx

Applying the pythagorean theorem, the equation would be:
7sec^2 x(cos^2 x)
Then applying the inverse trigo identity, the answer would be 7.

Thus, the final answer is 7.

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a plane intersect a prism to form a cross section that is a polygon with five sides. what is the minimum number of sides thst the polygon at the base of the prism must have? a3 b4 c5 d6 e7

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Answer:

C5 because there's going to be 5 triangles when you do it hope I helped

Step-by-step explanation:

Determine whether the sequence converges or diverges. if it converges give the limit. 48, 12, 3, 3/4, ...

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The sequence converges.
The limit of the sequence is 0.

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This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.

Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64

a rectangle has a perimeter of 46cm and an area of 120cm squared. find its dimensions by writing an equation and using the quadratic formula to solve it. Thanks!

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Let length = l , width = b
Perimeter = 2 (l +b)
46= 2 (l +b)
(l + b) = 23

l*b = 120

So l + 120/l = 23
l^2 + 120 - 23l = 0
l^2 -15l + 8l + 120 = 0
(l-8) (l - 15) = 
l = 8 or 15
i.e if l =8, w=15 
and if l = 15, w = 8

PLEASE PLEASE PLEASE HELP!!Can someone please help me with a step by step of this problem ? I'll seriously appreciate it, and thank you so so so much in advance!!
DON'T ANSWER IF YOU'RE UNSURE!!! I need actual help, please don't just take my points. :c

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since the polygons ABCD and LMNK are similar then the sides will have the same size ratio so then put 6 over 58 = 3 over x  then cross multiply so you get 6x=174 so x equals 29

What is the right answer? Please tell me, I need it urgently.

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Answer:

2388.16 cubic inches

Step-by-step explanation:

Cylinder: 452.16

Rectangular prism: 1936

Convert 123cg to kg?

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Just add two zeros to the front to make it kg .00123