Answer:
The dollar amount of the meals Sarah served was $1150.
Step-by-step explanation:
Set up an equation expressing Sarah's total earnings:
(total earned) = (base wage) + 0.15 * (price of meals served)
Now the same using what we know:
$252.50 = $80 + 0.15 * x
where x is unknown and can be solved for:
x = (252.50 - 80) / 0.15 = $1150
The dollar amount of the meals Sarah served was $1150.
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
<h3>What is the measure of the missing angle?</h3>
The image attached aside shows us a <em>right</em> triangle with two known <em>side</em> lengths (JL, KJ) and a <em>angle</em> measure (m ∠ K). The measure of the <em>missing</em> angle can be found by using the <em>trigonometric</em> function of cosine:
cos m ∠ J = KJ / JL
cos m ∠ J = 12 / 13
m ∠ J = 22.620°
The measure of the angle J within the triangle JKL is approximately 22.620°.
And the sine of the angle J, which helds the same <em>positive</em> sign than cosine as the angle is in the first quadrant on <em>Cartesian</em> plane, is:
sin m ∠J = √(1 - cos² m ∠J)
sin m ∠J = √[1 - (12 / 13)²]
sin m ∠J = 5 / 13
The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).
To learn more on trigonometric functions: brainly.com/question/6904750
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Answer:
It's B
Step-by-step explanation:
Slope intercept form is Y=mx +b
(b is sometimes there when slope intersects the y axis)
Answer:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Step-by-step explanation:
Standard form means to put the terms in order based on their exponent (x³ -> x² -> x -> constant)
1. (6 - i) + (9 + 5i)
2. (7 + 3i) + (11 + 2i)
3. (12 + 4i) - (2 - 15i)
4. (3 - 7i) - (3 + 5i)
5. 7 - (2 - 3i) + 6i
6. -16 + (3 + 4i) - 4i
7. 3i(6-5i)
8. -2i(8+2i)
9. (-5 + i)(8 - 6i)
10. (3 - 6i)(-1 + 7i)
11. (2 + 5i)(2 - 5i)
12. (-3 - i)(-3 + i)
13. (4 + i) * 2
14. (5 - 9i) * 2
:p when I first started answering this I thought the parentheses were being multiplied every time and did 100x more work .-.
Hope it helps <3 :D