Answer:
the volume of the tennis ball is 1436
Step-by-step explanation:
1 nanometer = 1 * 10^9 meters
so 1 nanometer = 1 * 10^7 centimeters
375 nanometers = 3,75 * 10^5 centimeters
Answer:
40 cubes or cubic inches or whatever measurement the problem is using
Answer:
c = 27.9
B = 62.13°
C = 89.90°
Step-by-step explanation:
We are given the following values:
A= 121.59°, a = 27.9 cm, b = 52.6 cm
a) Finding side c
We would use Pythagoras Theorem
c² = a² + b²
c = √(a² + b²)
c = √(27.9² + 52.6²)
c = 59.54cm
≈ Approximately = 59.5cm
b) Finding B
We would be using Cosine rule to find Angle B
Cos B = a² + b² - c²/2ab
B = arc cos ( a² + c² - b²/2ac)
B = arc cos( 27.9² + 59.5² - 52.6²/ 2 × 27.9 × 59.5)
B = 62.13268°
B = 62.13°
c) Finding C
We would be using Cosine rule to find Angle C
Cos C = a² + b² - c²/2ab
C = arc cos ( a² + b² - c²/2ab)
C = arc cos( 27.9² + 52.6² - 59.5²/ 2 × 27.9 × 52.6)
C = 89.9°
Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
