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3 years ago

8

Urgent! Math! Consider jkl below

1 answer:

lesantik [10]3 years ago

4 0

Answer:

Correct, Incorrect, Incorrect, Correct

Step-by-step explanation:

sin is opposite over hypotenuse

tan is opposite over adjacent

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The third term of an arithmetic sequence is 15 and when 20 is added to the third term the

djyliett [7]

Answer:

Common difference = 4

Position of 103 = 25th term

Step-by-step explanation:

a)

According to the given information:

$a_3 + 20 = a_8$

$a+ (3-1)d + 20 = a+ (8-1)d$

$\cancel a+ 2d + 20 = \cancel a + 7d$

$2d + 20 = 7d$

$20 = 7d-2d$

$20 = 5d$

$d = \frac{20}{5}$

$\purple {\bold {d = 4}}$

Common difference = 4

b)

$\because a_3 = 15....(given)$

$\therefore a + (3-1)d = 15$

$\therefore a + 2d = 15$

$\therefore a + 2\times 4= 15$

$\therefore a + 8= 15$

$\therefore a = 15-8$

$\red{\bold {\therefore a = 7}}$

$\because a_n = a + (n - 1) d$

$\therefore 103 = 7 + (n - 1)4$

$\therefore 103 - 7 = (n - 1)4$

$\therefore 96 = (n - 1)4$

$\therefore \frac{96}{4}= n - 1$

$\therefore 24= n - 1$

$\therefore 24+1= n$

$\blue{\bold {\therefore n = 25}}$

So, the position of 103 in this sequence is 25th term.

8 0

3 years ago

Liono4ka [1.6K]

Answer:

The answer is 150.72

Step-by-step explanation:

$v = \pi {r}^{2} \times h \\ = 3.14 \times 4 \times 4 \times 3 \\ = 150.72 {ft}^{3}$

6 0

3 years ago

Read 2 more answers

Select the correct answer.<br> Σ(-)),<br> Which expression gives the same result as t=0

Monica [59]

Answer:

B

Step-by-step explanation:

since 5 is constant so you can take it out from the summation

6 0

3 years ago

Ervin sells vintage cars. Every three months

Ira Lisetskai [31]

This doesn't make sense ask another

6 0

3 years ago

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a town has a population of 16000 and grows at 2% every year. to the nearest tenth of a year, how long will it be until the popu

miss Akunina [59]

20100 = 16000 * (1.02)^ t

20100/16000 = 1.02^t

1.25625 = 1.02^t

log 1.25625 = t * log 1.02

t = log 1.25625 / log 1.02
= 11.5

8 0

3 years ago

Read 2 more answers