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Masja [62]
4 years ago
14

Which expression is equivalent to sec2x − 1?

Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
7 0

Answer:

tan²x

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1

Divide all terms by cos²x

\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}, that is

tan²x + 1 = sec²x ( subtract 1 from both sides )

tan²x = sec²x - 1

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40 (pts)
Ber [7]

Answer:

m<Q = 92 degrees

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary.

Angles O and Q are opposite angles, so they are supplementary, so their measures add up to 180 degrees.

m<O + m<Q = 180

2x + 2x + 4 = 180

4x + 4 = 180

4x = 176

x = 44

m<Q = 2x + 4 = 2(44) + 4 = 92


4 0
3 years ago
Read 2 more answers
Age (years) Population Under 15 2600 15 - 64 16000 Over 64 4000 Calculate the child dependency ratio from the chart above. Round
Brums [2.3K]

Answer:

16.25%

=0.163 (correct to 3 decimal places)

Step-by-step explanation:

The child dependency ratio of a population is defined as the number of children (Under 15 years) divided by the working-age population (15–64 years old).

\mathrm{ Child}\;\mathrm{ dependency}\;\mathrm{ ratio}=\dfrac{{\mathrm{ Population}\,\left( \text{Under 15} \right)}}{{\mathrm{ Population}\,\left( {15-64} \right)}}\times 100

From the given table:

Population Under 15 years = 2600

Population of the working class (between 15-64) = 16000

Therefore:

\mathrm{ Child}\;\mathrm{ dependency}\;\mathrm{ ratio}=\dfrac{2600}{16000}\times 100\\\\=16.25\%

=0.163 (correct to 3 decimal places)

3 0
3 years ago
Estimate to the nearest doallar , the total cost $23.45+$3.98+$16.66+$12.08 (answer with suggesting work please)
Aleksandr-060686 [28]
Well all of that equals $56.17 and rounded to the nearest dollar will be...$56.00

7 0
3 years ago
Read 2 more answers
Find the missing length indicated 144 and 60
Alexxandr [17]

The missing length in the right triangle as given in the task content is; 156.

<h3>What is the missing length indicated?</h3>

It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;

x² = 144² + 60²

x² = 20736 + 3600

x² = 24,336

x = √24336

x = 156.

Remarks: The complete question involves a right triangle and the missing length is the longest side.

Read more on Pythagoras theorem;

brainly.com/question/343682

#SPJ1

7 0
2 years ago
A. x=17<br>b. x=13<br>c. x=119<br>d. x=169​
seropon [69]

Answer:

the answer is: x=13

Step-by-step explanation:

We get the answer using Pitagoras.

5^2+12^2=x^2

so

x=\sqrt{5^2+12^2}=\sqrt{25+144}=\sqrt{169}=13

6 0
3 years ago
Read 2 more answers
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