Answer:
A. 125
Step-by-step explanation:
the sum of the remote angles is equal to the exterior angle
90+35=125
To find the discount of an item you put the rate which is 25% over 100 and move the decimal point to the right this would leave you with 0.25.You then times $40 by 0.25 which leaves you with $10 so $10 is your discount.
To find the sales price of the dress you subtract the discounted price from the original price so it would be $40-$10 which is $30 so your sales price is $30.
Answer:
The maximum of y = sin x is 1. The amplitude of a sinusoidal function is one-half of the positive difference between the maximum and minimum values of a function.
Step-by-step explanation:
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
