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:
$18,096 a year
Step-by-step explanation:
There are around 52 weeks in a year. You make $348 a week.
52 x 348 = $18,096
Answer:
24
Step-by-step explanation:
LP = 15 on one side
LR= 9 on the other side
____________________|____________|
P L R
add them and PR is 24
15+9= 24
Step-by-step explanation:
Let the two numbers be 20x and 10x
Then by the question,
20x + 10x = 300
or, 30x = 300
or, x = 300/ 30
x = 10
Now the larger number
20x = 20* 10 = 200.
Hope it will help you :)
Answer:
20 hours
Step-by-step explanation:
use this linear equation
y = 9.25x + 50
plug in 235 for y and solve for x
235 = 9.25x + 50
185 = 9.25x
20 = x
so he worked for 20 hours
hope this helped <3
