Answer:
288
Explanation:
As first term in sequence is 3 so multiplying it by common ratio 5 we get 15, then multiplying 15 by 5 we get 45 and so on the sequence is
<span>3,15,45,225</span>
whose sum is 288
Answer:
V = 6 or V = -6
Step-by-step explanation:
Solve for V over the real numbers:
V^2 = 12^2 - 6 2 9
12^2 + 2 (-6) 9 = 36:
V^2 = 36
Take the square root of both sides:
Answer: V = 6 or V = -6
Given: It is given that the length of the painting is 24 inches and the width is 11 inches.
To find: Area of the mat
Solution:
The watercolor painting is 24 inches long by 11 inches wide.
So, the area of the painting is:
The length of painting with mat is = 24 in + 3 in + 3 in = 30 in
The width of painting with mat = 11 in + 3 in + 3 in = 17 in
Now to calculate the area of mat subtracts the area of painting from the area of the mat.
Hence, the area of the mat is 246 in².
Answer:
The slope of the blue line is undefined
Step-by-step explanation:
This is because a vertical line cannot have a numerical value for it's slope. Also, there is no y-intercept
The answer is 3.14 m
The area (A) of the circle with radius r is: A = π · r²
The area of the quarter of the circle is: A1 = 1/4A = 1/4 · π · r²
We have:
A1 = ?
r = ?
π = 3.14
d = 4 m
A diameter d is the twice of the radius r: d = 2r.
Therefore, the radius is the half of the diameter: r = d/2
So, the area of the quarter circle would be:
A1 = 1/4 · π · r² = 1/4 · π · (d/2)² =1/4 · π · d²/2² = 1/4 · π · d²/4 = 1/16 · π · d²
A1 = 1/16 · π · d² = 1/16 · 3.14 · 4² = 1/16 · 3.14 · 16 = 3.14 m
