Answer:
k = K^2
Step-by-step explanation:
Subtract K^2 from both sides of the equation.
Answer:
Step-by-step explanation:
let each angle=A
A+A+A=180
3A=180
A=180/3=60°
as the angles are equal so sides are equal.
16+y=46
y=46-16=30
applying sine formula
z+x=60
40+x=60
x=60-40=20°
Answer:
12
Step-by-step explanation:
A 2 - sided counter ; (red, yellow)
A spinner (1,2,3,4,5,6)
Number of trials = 80
P(red and number > 3) :
P(red) = 1/2 ;
P(number >3) : numbers greater Than 3 = (4, 5, 6)
Hence, P(number <3) = 3 /6 = 1/2
Theoretical probability = 1/2 *1/2 = 1/4
Expected number of outcomes :
1/4 * number of trials
1/4 * 80 = 20
Experimental outcome :
Relative frequency = number of outcomes / number of trials
Relative frequency = 2/5
Hence,
2/5 = number of outcomes / 80
Cross multiply :
160 = number of outcomes * 5
Number of outcomes = 160 /5 = 32
Actual outcomes = 32
Difference between actual and expected :
32 - 20 = 12
Answer:
a) 88
b) 162 $
Step-by-step explanation:
Given Bryan sold 9 more flowers than Elan
1/4 x - 1/5 x = 9
x/20 = 9
x = 180
Flowers with Bryan = 45
Flowers with Elan = 36
45+36 = 81
Remaining flowers = 99
Flowers with Fiona = 8/9 * 99 = 88
Answer:
Step-by-step explanation:
Volume of a prism:
Area of cross section x height
