Ok so cos(x) = sin(90-x) so using that you can get sin(7x-15) = sin(90-(3x+5)) so 7x-15 = -3x+85. 10x = 100 and x = 10. Use that to find the 2 angles are 55 and 35
Answer:
6050 square feet
Step-by-step explanation:
Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet
Area of a rectangle is determined by multiplying the length of perpendicular sides:
The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.
A simple variable can be differentiated using below concept:
Using the above concepts to differentiate Area and calculate X will give:
Calculating Y:
Calculating Area:
An equilateral shape is a shape that has all congruent sides.
<em>Sandy has a greater probability of selecting an equilateral shape</em>
Given
Sandy: <em>Equilateral triangle, Rhombus, and Regular hexagon</em>
Robert: <em>Scalene triangle, Kite, Isosceles trapezoid, Non-special quadrilateral, and Obtuse isosceles triangle</em>
All three shapes in Sandy's shape bucket are equilateral.
So, the probability that Sandy picks an equilateral shape is 1
All five shapes in Robert's shape bucket are non-equilateral.
So, the probability that Robert picks an equilateral shape is 0
By comparing the probabilities:
<em>1 is greater than 0</em>
Hence, Sandy is more likely to pick an equilateral shape than Robert.
Read more about probabilities at:
brainly.com/question/24297863
Answer:
Step-by-step explanation:
y + 2 = 7(x - 2)
y + 2 = 7x + 14
y = 7x + 12
<h3>
Answer: 580 square cm</h3>
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Work Shown:
A = area of smaller rectangle
A = length*width
A = 35*22
A = 770
B = area of larger rectangle
B = length*width
B = 45*30
B = 1350
C = area of the border only
C = B - A
C = 1350-770
C = 580 square cm
