Answer:
x = y = 15
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
2x = 30
( divide both sides by 2 )
x = 15
The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so
y = x = 15
Answer:
6.3 × 10⁶ square miles
Step-by-step explanation:
We are given,
The radius of the moon is approximately 1000 miles.
We know that the moon resembles a sphere and also,
Area of sphere =
, where r is the radius.
Now, the area of the moon =
= 1.26 × 10⁷ square miles
Since, only the half of the area is clear to view.
So, the area left to view =
= 6.3 × 10⁶ square miles.
Hence, the area of the moon in view is 6.3 × 10⁶ square miles.
The volume of a sphere is V=4/3*pi*r^3
Since pi=3.14 and r=20, we have:
V=4/3*3.14*20^3
V=4/3*3.14*8000
V=4/3*25120
V=33493.33333
So the volume is about 33493 1/3 mm^3
Hope this helped!
<h2><u>The value of x is equal to 6.</u></h2>
2 + 3x = 20
Subtract 2 from both sides.
3x = 18
Divide both sides by 3.
x = 6
2x + 5(–4x + 10) - (x + 4).
-4+10=14
x+4=5-9
2x+5=7x
7+9=18
18-14=4
4 is your answer