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3 years ago

Find the missing side round your answer to the nearest tenth

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

Use trigonometric ratios.
Use angle(19)
Adjacent side of angle measure 19 is X
The hypotenuse is 21.
Use the cosine
Cos(19)=x/21

Plug in calculator
(21)cos(19)=19.85

Round to the nearest tenth. Which means the 8 rounds up to 9.

Answer: 19.9

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Find the sum of the first 47 terms of the following series, to the nearest integer.

topjm [15]

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

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

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

$18-13=5,\:\quad \:23-18=5$

As the difference between all the adjacent terms is the same.

$d=5$

$a_1=13$

Arithmetic sequence sum formula

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

Put the values

$d=5$

$a_1=13$

$n=47$

$=47\left(13+\frac{5\left(47-1\right)}{2}\right)$

$=47\left(13+115\right)$

$=47\cdot \:128$

$=6016$

Thus, the sum of the first 47 terms of the given series = 6016

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3 years ago

Which relationship describes angles 1 and

murzikaleks [220]

Answer:

The relationship of the angles is complementary.

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3 years ago

Which expression represents”9 less than the product of 5 and a number n”?

Alika [10]

9 less means subtract

the product of 5 and the number n mea multiply 5 and n

D. 5n-9

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Which expression is equivalent to n(3+2n)?<br> a)2n²+3n+5<br> b)5n+5<br> c)2n+8<br> d)11n

denis23 [38]

Answer:

None of the above.

Step-by-step explanation:

n(3 + 2n)

Apply distributive property...

3n + 2n²

There are no extra numbers

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6/31 is the answer for your question.

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