Answer:
127°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180°(n - 2) ← n is the number of sides
here n = 5 ( Pentagon), hence
sum = 180° × 3 = 540°
To find the fifth angle subtract the sum of the 4 given angles from 540
angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°
Answer:
i8765
Step-by-step explanation:
Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
Answer: Maximum height = 105 feet
And, It takes 9/4 seconds to reach that point.
Step-by-step explanation:
Here the given function that shows the height of the pumpkin,
--------(1)
Where t is the time in second.
Differentiating equation (1) with respect to t,
We get, 
Again differentiating above equation with respect to t,
We get, 
For maximum or minimum, 
At t = 9/4 , h''(t) = Negative value,
Therefore, At t = 9/4 seconds, h(t) is maximum,
And, the maximum value is,
Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds
It's 0.720. you just divide 103 and 143 and get the first three numbers
