Step-by-step explanation:
ᑎⓄ丂 Ä ɆⓇᗪαⒹ Ⓔ ʇ ƬⒶ℟Å ฿ⓇØ
Complete question :
The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?
Answer:
-6°F
Step-by-step explanation:
Temperature at 5am (t1) = - 6°F
Temperature at 3pm (t2) = 36°F
Change in temperature, between 5am and 3pm:
(t2 - t1) = (36 - (-6)) = (36 + 6) = 42°F
Hence, temperature at 8:00 pm:
High temperature - change in temperature between (5am - 3pm)
36°F - 42°F = - 6°F
Answer:
The answer is
A. 529.66 ft²
Step-by-step explanation:
The picture of the composite figure is not given,
But find attached the figure.
The composite consists of two solid shapes
1. Cylinder
2. Rectangular prism
To solve for the total surface area of the composite
Let us solve for the total surface area of the cylinder
Given radius r= 4ft
Height h=5ft
A= πr²+2πrh-πr²
N/B we subtracted the second circular surface since it is joined to the rectangular prism
A= 3.142*4²+2(3.142)*4*5-3.142*4²
A= 50.272+125.68-50.272
A=125.68ft²
We proceed to find the area of the rectangular prism
We know that the prism has 6 sides
Hence area
A= 2(11*6)+ 2(8*6)+2(11*8)
A= 132+96+176
A= 404ft²
Hence total surface area is
404+125.68= 529.68ft²
Let S be the sum,
S = 2 + 4 + 6 + ... + 2 (n - 2) + 2 (n - 1) + 2n
Reverse the order of terms:
S = 2n + 2 (n - 1) + 2 (n - 2) + ... + 6 + 4 + 2
Add up terms in the same positions, so that twice the sum is
2S = (2n + 2) + (2n + 2) + (2n + 2) + ... + (2n + 2)
or
2S = n (2n + 2)
Divide both sides by 2 to solve for S :
S = n (n + 1)
