The account is $4,480 after 3 years with a 4% investment
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:
x = 18
Step-by-step explanation:
We need to find the value of x.
We know that the sum of angles of a triangle is equal to 180°. So, using this property,
2x+1+3x-1+90 = 180
2x+3x = 180-90
5x = 90
x = 18
So, the value of x is equal to 18.
Answer:
y ≈ 2.5
Step-by-step explanation:
Using the Sine rule in Δ XYZ
=
, substitute values
=
( cross- multiply )
y sin50° = 2 sin75° ( divide both sides by sin50° )
y =
≈ 2.5 ( to the nearest tenth )
Answer:
3 times greater
Step-by-step explanation:
6.7 x 10 to the 6 = 6700000
2x 10 to the 7 = 20000000
20000000/6700000 = 2.98507462687
Rounded - 3