Answer:
3577
Step-by-step explanation:
From the question given above, the following data were obtained:
7•2ᶦ
i = 0, 1, 2, .., 8
Sum =?
The sum can be obtained as follow:
7•2ᶦ
i = 0
7•2⁰ = 7 × 1 = 7
i = 1
7•2ᶦ = 7•2¹ = 7 × 2 = 14
i = 2
7•2ᶦ = 7•2² = 7 × 4 = 28
i = 3
7•2ᶦ = 7•2³ = 7 × 8 = 56
i = 4
7•2ᶦ = 7•2⁴ = 7 × 16 = 112
i = 5
7•2ᶦ = 7•2⁵ = 7 × 32 = 224
i = 6
7•2ᶦ = 7•2⁶ = 7 × 64 = 448
i = 7
7•2ᶦ = 7•2⁷ = 7 × 126 = 896
i = 8
7•2ᶦ = 7•2⁸ = 7 × 256 = 1792
Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792
Sum = 3577
Answer:
Step-by-step explanation:
To find the area subtract the area of the semicircle from the area of the rectangle.
Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.
The area of rectangle is:
⇒
⇒
⇒
The area of the semicircle;
⇒
⇒
*Note here that the radius is half the diameter, so it is 7cm, not 14cm
⇒
Finally subtract the two areas;
⇒
⇒
Answer:
(C) 18
Step-by-step explanation:
We can create a systems of equations. Assuming is Michelle's age, is Joan's age, and is Ryan's age, the equations are:
We can use substitution, since we know the "values" of m and j.
So we know that Joan is 18 years old.
Hope this helped!
Area = 1/2 x base x height
Let the height be x.
Height = x
Base = 2x
Area of triangle = 1/2 x base x heght
Plug base and height into the variables:
(1/2)(2x)(x) = 196
Combine like terms:
x² = 196
Square root both sides:
x = 14
Find Base and height:
Base = x = 14 km
Height = 2x = 2(14) = 28 km
Answer: Height = 28km
Realistically would be 20.