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2 years ago

Find a solution to 3cos(θ)=−0.862 in radians

1 answer:

7 0

$3cos(\theta) = -0.862$
$\frac{3cos(\theta)}{3} = \frac{-0.862}{3}$
$cos(\theta) = -\frac{431}{1500}$
$cos^{-1}[cos(\theta)] = cos^{-1}(-\frac{431}{1500})$
$\theta = 106.6983737\°$
$\theta = 1.86223792^{r}$

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Help!!!!!!!!!!! Solve for x x+11+8x=29 Explain how you got the answer please!

dolphi86 [110]

X + 11 + 8x = 29. We need to solve for x.
First, on the left side, you have "x" and "8x": You can always add 2 numbers with the same variable, so you have 1 number: x + 8x = 1x + 8x = (1+8)x = 9x

So we get:
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Now subtract 11 from both sides (You can't do any operation if you don't do it both sides), so you can get the variable alone on the left side, and the numbers on the right side:
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You can recheck your answer (very important):
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The answer has been approved.

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Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio

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Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

Now, According to question

Total number of questions in a test = number of multiple choice questions + number of essay questions

Or, m + e = 26 .....A

Again

Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123 .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m - 3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴ m = $\dfrac{85}{5}$

i.e m = 17

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