Answer:
See below.
Step-by-step explanation:
54.
The radius of the small circles is x.
The radius of the large circle is 2x.
Area of large circle:
πr² = π(2x)² = π4x² = 4πx²
Area of 1 small circle:
πr² = πx²
Area of 2 small circles:
2πx²
shaded area = area of large circle - area of 2 small circles
shaded area = 4πx² - 2πx²
shaded area = 2πx²
57.
The radius if the circle is x√2.
The side of the square is 2x.
Area of circle:
πr² = π(x√2)² = 2πx²
Area of square:
s² = (2x)² = 4x²
shaded area = area of circle - area of square
shaded area = 2πx² - 4x² or (2π - 4)x²
Answer:
the length of c is 18.43909
Step-by-step explanation:
pythagorean therorem
See picture below for a geometric view.
Let x = height of building
We use basic trigonometry to find x.
The tangent function = opposite side of right triangle OVER adjacent side of right triangle.
tan(2°) = x/1
Solve for x.
After multiplying both sides by 1 (here 1 represents 1 mile), we get
tan(2°) = x.
We now use the calculator to find x.
In fact, you can take it from here. Use your calculator.
Answer:
She hiked 1,554 kilometers in all.
Step-by-step explanation:
Let the hiking kilometers for morning be x
Given that:
Hiking kilometers in afternoon = 666
According to given condition that afternoon kilometers are 25% less than morning:
x = 666 + 25% of x
By simplifying:
x = 666 + 0.25x
x - 0.25x = 666
0.75x = 666
Dividing both sides by 0.75 we get:
x = 666/0.75
x = 888 kilometers
She hiked 888 kilometers in morning
And
Total = 888 + 666 =1554 km
i hope it will help you!
Answer:
x=21
Step-by-step explanation:
We know that C is a right angle, which means that x + 3x+6 = 90

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