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2 years ago

Find the exact value of the expression. cos(160°) cos(10°) + sin(160°) sin(10°)

Mathematics

1 answer:

marysya [2.9K]2 years ago

8 0

Answer:

Step-by-step explanation:

cos a cos b+sin a sin b=cos (a-b)

cos 160 cos 10+sin 160 sin 10=cos (160-10)

=cos 150

=cos (180-30)

=-cos 30

=-√3/2

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pogonyaev

Answer:

1.82

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2 years ago

An investment firm invested in two companies last year. They invested $11,000 in Company A and made a profit of 24% . They inves

Tema [17]

First off, "whatever%" of "anything" is just (whatever/100) * anything

part A)

so... firm A got 11,000 invested, turned a profit of 24%, how much is 24% of 11000? well (24/100) * 11000

firm B got 14,000 invested, and returned 15% in profits, how much is 15% of 14000? (15/100) * 14000

part B)

for the amounts above, we get 2640 and 2100 respectively

so, the total profit "amount" is 2640 + 2100 or 4740

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if 25000 is the 100%, how much is 4740 in percentage?

$\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
25000&100\\
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solve for "x"

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3 years ago

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Troyanec [42]

Answer:

x equals 3.6.

Step-by-step explanation:

A way to solve this equation is to preform the inverse operations on both sides.

1. Add 19 to -19 and 5: 5x + 6 - 19 + 19 = 5 + 19 ---> 5x + 6 = 24

2. Subtract 6 from 6 and 5: 5x + 6 - 6 = 24 - 6 ---> 5x = 18

3. Divide 5x and 18 by 5: 5x / 5 = 18 / 5 ---> x = 3.6

4. 3.6 is the answer.

To prove it, substitute x with 3.6 in the equation: 5 · 3.6 + 6 - 19 = 5

I hope this made sense and helped you a lot! :)

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Step-by-step explanation: hope this helps.

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