Row 15 has 41 seats, and the entire section has 493 seats.
We can write the explicit formula for an arithmetic sequence to represent this, since we add 2 each time:
13+2(n-1)
Using 15 for n,
13+2(15-1) = 13+2(14) = 13+28 = 41
To find the total number of seats, we evaluate the sum
Using technology to evaluate this sum, it is 493.
<h2>Given :-</h2>
- Two adjacent angles of a parallelogram are in the ratio of 5 : 2.
<h2>To Find :-</h2>
- What is the all angles of the parallelogram.
<h3 /><h3 /><h2>Solution :-</h2>
Let, the first angles be 5x
And, the second angles will be 2x
As we know that,
★ Sum of all angles = 180° ★
According to the question by using the formula we get,
- ⇒
- ➠
Hence, the required angles are,
- First angles = 5x = 5(25.7°) = 128.5°
- Second angles = 2(25.7°) = 51.4°
As we know that,
opposite angles in a parallelogram
is equal.
∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.
No, you do not have to line up the decimals.
Volume of a cone formula: V = πr²*h/3
V = volume
r = radius
h = height
Solve with the given values.
V = π(7)²*19/3
V = π(49)*19/3
V = 153.86*19/3
V = 974.94...
Round to the nearest one.
974.94... → 975.0
Therefore, the answer is 975.0yd³
Best of Luck!
Answer: y = -(9/5)x - 1
Step-by-step explanation:
Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]
A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:
y = -(9/5)x + b
We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.
8 = -(9/5)*(-5) + b
8 = (9) + b
b = -1
The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is
y = -(9/5)x - 1
