Answer:
12.5
30
68.5
Step-by-step explanation:
The minimum value for 2x is 0
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>
<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>
<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>
<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>
<span>sin 2x = 22 (sin 34°)/30 </span>
<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>
<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>
<span>0 < x < 12.1°</span>
Answer:
She earned 1,076 dollars and 25 cents.
Step-by-step explanation:
x = 7.25 * 4,500 / 100
x = 7.25 * 45
x = 326.25
So commission earned is 326.25 $
We need to add this to her base salary for the week, so:
750 + 326.25 = 1, 076.25
Therefore she earned 1,076 dollars and 25 cents.
Hopes this helps ;p
<span>The minute hand of a watch is 6 inches long. How far does the tip of the minute hand go in 15 minutes? How much do you move in 25 minutes?</span>
Answer:
(y + 7i)(y - 7i)
Step-by-step explanation:
It cannot be factored using real numbers, but consider
7i × - 7i
= -49i² and i² = - 1
= 49
The factoring as a difference of squares to obtain
y² + 49 = (y + 7i)(y - 7i)
