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3 years ago

Solve the above attached questionThanks

Mathematics

1 answer:

seropon [69]3 years ago

4 0

Answer:

Step-by-step explanation:

Given,

tan²A - 5tanA + 1 = 0

tan²A - 5tanA = -1

tanA(tanA - 5) = -1

tanA - 5 = -1/tanA

We know that 1/tanA= cotA

So,

tanA - 5 = -cotA

tanA + cotA= 5

Now, Making square of both sides,

(tanA +cotA)² = 5²

Expanding RHS by (a + b)² = a² + b² +2ab tan²A + cot²A + 2tanA.cotA= 25

tan²A + cot²A + 2tanA ×(1/tanA) = 25

tan²A + cot²A + 2 = 25

tan²A + cot²A = 25-2

tan²A + cot²A = 23

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If a 25 ft rope is cut into two sections with one section 4 times as long as the other section, how long is the shorter piece?

DaniilM [7]

X = short section of rope
4x = longer section of rope

x + 4x = 25
5x = 25
x = 5

…or in other words the shorter piece of rope is 5 feet long

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3 years ago

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4 years ago

Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

ra1l [238]

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

$a_n=8n+1$

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 9, d = 8 in the equation

$\:a_n=9+8n-8$

$a_n=8n+1$

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

$a_n=8n+1$

6 0

3 years ago

The ratio of adults to children at the school is 1:3.There are 48 children in the school.how many adults are at the school

zepelin [54]

Simply set up a proportion. 1/3 = x/48. Cross multiply afterwards. 48 = 3x. Solve the equation. x = 16. By using proportions which is another form of a ratio you can easily find out that there are 16 adults at the school. Hope this helps :))

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3 years ago

Read 2 more answers

What is the value of the expression? 3(6/8−1/2)+0.25

Luden [163]

If I am correct the answer is 1.
You can do multiply 3 by 6/8 which will give you 2 1/4 or if in a decimal 2.25.
Then do 3 by -1/2 which will give you -1 1/2 and in decimal its -1.5.
You continue with the equation, 2.25 -1.5 = 0.75 + 0.25 = 1
Add them all together and you get 1...!

Hope this Helps :)

8 0

3 years ago

Solve the above attached questionThanks​

Solve the above attached questionThanks