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Ostrovityanka [42]
3 years ago
12

Prove that: (1+cot^2x)tan^2x = sec^2x

Mathematics
1 answer:
timofeeve [1]3 years ago
8 0

Answer:

Step-by-step explanation:

1+cot^2x = csc^2x= \frac{1}{sin^2x}

it becomes

\frac{1}{sin^2x}*\frac{sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x

Done

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What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?
Daniel [21]

Answer: divide by 6?

Step-by-step explanation:

What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?

If we actually guess and check by dividing by 1, then 2, then 3, then etc. we will get the answer. I tried and divided by 6, which is 4, which is a perfect square. Do not trust me completely on this, for I am not quite sure.

7 0
2 years ago
(Please help!!)
vladimir1956 [14]
L=5+2w would be the best answer
7 0
3 years ago
Juliet has a choice between receiving a monthly salary of $1950 from a company or a base salary of $1600 and a 3% commission on
Greeley [361]

Answer:

11667

Step-by-step explanation:

let x= sales

1950=1600+.03x

350=.03x

x=11666.6666666666666666666

which rounds to

11667

4 0
3 years ago
Read 2 more answers
The APR of Lillian's savings account is 3.4%, and interest is compounded semiannually. If Lillian makes no additional deposits o
Evgen [1.6K]
<span>The equation for that is

A = P * [ 1 + (r/n) ] ^(nt)

A = amount of money accumulated after n years, including interest.
P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
n = number of times the interest is compounded per year
t = number of years the amount is deposited or borrowed for.

In this question, P = 9700 , r = 0.034, n = 4 , t = 1
</span>
<span>A = 9700 * [ 1 + (0.034 / 4) ] ^ (4 * 1)

= 9700 * ( 1 + 0.0085 )^4

= 9700 * (1.0085)^4

= 9700 * 1.03443596

= </span><span>10,032.60 rounded off</span>

6 0
4 years ago
Read 2 more answers
Find the missing length for a right triangle with hypotenuse of 18 and a leg length of 6. Round to the nearest whole number if n
DiKsa [7]
a^2 + b^2 = c^2

a^2 + 6^2 = 18^2

a^2 + 36 = 324

a^2 = 288

a = \sqrt{288}

a = \sqrt{144 \times 2}

a = 12\sqrt{2}

a \approx 17
4 0
4 years ago
Read 2 more answers
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