Answer: 5.196152423
Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.
I didn't round any of the numbers. Hopefully this is correct.
Sorry about the messy diagrams (never been good at creating them) and how long it took.
Answer:
perpendicular
Step-by-step explanation:
To determine if AB and CD are parallel, perpendicular, or neither, we need to get the slope of AB and CD first
Given A (−1, 3), B (0, 5),
Slope Mab = 5-3/0-(-1)
Mab = 2/1
Mab = 2
Slope of AB is 2
Given C (2, 1), D (6, −1)
Slope Mcd = -1-1/6-2
Mcd = -2/4
Mcd = -1/2
Slope of CD is -1/2
Take their product
Mab * Mcd = 2 * -1/2
Mab * Mcd = -1
Since the product of their slope is -1, hence AB and CD are perpendicular
Answer:
2
Step-by-step explanation:
let the other leg be x
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 3²
x² + 1 = 9 ( subtract 1 from both sides )
x² = 8 ( take the square root of both sides )
x = 
= 
= 
× = 2 ← exact value
Answer:
I think it is A and D but i'm sorry if i'm wrong
Step-by-step explanation:
Answer:
option C
Step-by-step explanation:
given,
ROE = 20 %
dividend payout ratio = 70%
paid = $ 2.00
value of current stock if required return is 18% = ?
g = (1 - payout ) x ROE
= (1 - 0.7 ) x 20%
= 6 %
dividend = 2 (1 + growth rate)
= 2 x (1 + 0.06) =$ 2.12
as current value of stock
= 
= 
= $17.67
hence, the correct answer is option C
