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oksian1 [2.3K]
2 years ago
15

Verify -tan^2x+sec^2x?

Mathematics
1 answer:
Mademuasel [1]2 years ago
4 0
We\ know:\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\sec x=\dfrac{1}{\cos x}\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x\\-----------------------\\\\-\tan^2x+\sec^2x=-\dfrac{\sin^2x}{\cos^2x}+\dfrac{1}{\cos^2x}=\dfrac{-\sin^2x+1}{\cos^2x}=\dfrac{-(1-\sin^2x)}{\cos^2x}\\\\=\dfrac{-\cos^2x}{\cos^2x}=-1
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A car seller buys a car from a manufacturer for $10,000. He increases the cost by 5 percent. What is the markup amount?
torisob [31]
We know that:

The markup is the price added to the cost price of goods...

To find the markup, we must multiply the percent increase by the original price (before markup).

So:

10,000 x 5% (or 0.05) = ?

10,000 (You do not have to follow my way of multiplying, do what is comfortable for u)
x       5 (Ignore the decimals then we move it after we get the answer) 
----------
50,000 move the decimal back 2 places so it is 500

The final answer is:

The markup amount is $500...




3 0
3 years ago
A x 4 = E
s2008m [1.1K]
A= 1/4E
B= 4E
C= E-4
D= E+4
A+B+C+D=100
25/4E=100
hence, E=16
4 0
3 years ago
A 180 ft long board is cut into 3 pieces. The second piece of
blagie [28]

Answer:

20 feet

Step-by-step explanation:

1st piece = x

2nd piece = 2x

3rd piece = 6x

x+2x+6x=180

9x=180

x=20

so the first piece is 20 feet, the second is 40, and the third is 120.

6 0
3 years ago
Read 2 more answers
Is -6.175 is an irrational number?
kipiarov [429]
No.

Any number you can write completely is a rational number.
Any number with a repeating decimal fraction is also a rational number.
___
Any number that goes on forever without repeating is an irrational number. These are usually represented symbolically (because they cannot be written "exactly" any other way). These include such numbers as √2, π, e, ∛(-4), and an infinite number of others.
4 0
3 years ago
Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit
aalyn [17]

Answer:

Step-by-step explanation:

The type I error occurs when the researchers rejects the null hypothesis when it is actually true.

The type II error occurs when the researchers fails to reject the null hypothesis when it is not true.

Null hypothesis: The proportion of people who write with their left hand is equal to 0.23: p =0.23

Type I error would be: Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29

Since 0.29 is assumed to be the alternative claim.

Type II error would be: Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

Still with the assumption that 0.29 is the alternative claim.

3 0
3 years ago
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