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3 years ago

In Wei’s family, there are four children and three adults. Every weekend they all

Mathematics

1 answer:

romanna [79]3 years ago

6 0

Answer: 3 tickets left

Step-by-step explanation:

There is 3 tickets left because there is only 3 adults tickets left.

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Is this an identity? <br> 1+sec^2x=tan^2x

amid [387]

No, the correct identity is $\tan^2(x)+1=\sec^2(x)$ . It is obtained by dividing the both sides of the Pythagorean Trigonometric Identity by cos²(x):

$\sin^2(x)+\cos^2(x)=1\\\\
\dfrac{\sin^2(x)+\cos^2(x)}{\cos^2(x)}=\dfrac{1}{\cos^2(x)}\\\\
\dfrac{\sin^2(x)}{\cos^2(x)}+\dfrac{\cos^2(x)}{\cos^2(x)}=\dfrac{1}{\cos^2(x)}\\\\
\boxed{\tan^2(x)+1=\sec^2(x)}~~\blacksquare$

6 0

4 years ago

The sum of the first 10 terms of an arithmetic sequence is 235 and the

Degger [83]

Answer:

$\bold{a_1 = -42.65}\\\\\bold{d=14.7}$

Step-by-step explanation:

The sum of the first 10 terms of an arithmetic sequence is:

$S_{10}=a_1+a_2+...+a_{10}=\dfrac{a_1+a_{10}}{2}\cdot10=\dfrac{2a_1+(10-1)d}{2}\cdot10$

$\dfrac{2a_1+(10-1)d}{2}\cdot10=235\\\\(2a_1+9d)\cdot5=235\\\\2a_2+9d=47$

the sum of the second 10 terms is: a₁₁ + a₁₂+...+ a₂₀

And the sum of the first 20 terms of an arithmetic sequence is:

$S_{20}=a_1+a_2+...+a_{10}+a_{11}+...+a_{20}=\dfrac{2a_1+(20-1)d}{2}\cdot10$

so the sum of the second 10 terms is:

$a_{11}+a_{12}+...+a_{20}=S_{20}-S_{10}$

Therefore we have:

$\dfrac{2a_1+(20-1)d}{2}\cdot10-\dfrac{2a_1+(10-1)d}{2}\cdot10=735\\\\(2a_1+19d)\cdot5-(2a_1+9d)\cdot5=735\\\\2a_1+19d-(2a_1+9d)=147\\\\10d=147\\\\d=14.7$

and:

$2a_1+9\cdot14.7=47\\\\2a_1+132.3=47\\\\2a_1=-85.3\\\\a_1=-42,65$

3 0

3 years ago

Round 3.44570830811 to the nearest hundred-thousandth,

Alika [10]

Answer:

3.44571

Step-by-step explanation:

look at the number to the right of the decimal. if the number is higher than or is 5 round the number up, but if the number is less than 5 it will stay the same.

4 0

3 years ago

Hello i really need help her

Vanyuwa [196]

Answer:

6.33

Step-by-step explanation:

you welcome ma'am

3 0

3 years ago

You are a quality control

olganol [36]

X=60 I’m not sure because you didn’t write the problem properlym

8 0

3 years ago