The figure is a scalene triangle, and the exact length of side a is √13
<h3>How to determine the exact length of side a?</h3>
To calculate the length of a, we make use of the following law of cosine
a² = b² + c² - 2bc * cos(A)
Using the values in the figure, we have:
a² = 3√2² + 5² - 2 * 3√2 * 5 * cos(45)
Evaluate the expression
a² = 18 + 25 - 30
Evaluate the sum and the difference
a² = 13
Take the square root of both sides
a = √13
Hence, the exact length of side a is √13
Read more about law of cosines at:
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Answer:
length=50m
width=25m
Step-by-step explanation:
perimeter is the distance all round,hence
2(l+w)=2(2x+x)=
4x+2x=6x=150
6x=150x
x=25
l=50m
w=25m
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
Five ice cream cones would cost 13.75 at the rate that each cone costs 2.75
It would be 30/48 but you still have to simplify it
5/8 is the answer
