Answer:
D. 4,704 ft²
Step-by-step explanation:
Giving a scale of 1 in. = 14 ft, to find the actual area of the field represented by the triangular drawing above, convert the length of the base and height to the actual lengths of the field using the scale.
Height of drawing = 8 in.
Actual height = 8*14 = 112 ft
Base of drawing = 6 in.
Actual base = 6*14 = 84 ft
Area of the field = area of ∆
Area = ½*base*height
Area = ½*84*112
Area = 4,704 ft²
It’s a shape, that’s the same volume a shape
It’s correct
<h3><em>Answer:</em></h3><h3><em></em></h3><h3><em>number of seats in theater = 1035</em></h3><h3><em></em></h3><h3><em>Step-by-step explanation:</em></h3><h3><em></em></h3><h3><em>Given in question as</em></h3><h3><em></em></h3><h3><em>Total number of rows of seat = 30</em></h3><h3><em></em></h3><h3><em>first row contain seat = 20</em></h3><h3><em></em></h3><h3><em>second row contain seat = 21 .. and so on</em></h3><h3><em></em></h3><h3><em>This is in arithmetic progression as 20 , 21 , 22 , 23 ...... so on</em></h3><h3><em></em></h3><h3><em>Then as number of terms N = 30 and first terms = a = 20</em></h3><h3><em></em></h3><h3><em>so we have to find Tn th terms</em></h3><h3><em></em></h3><h3><em>So, Tn th terms = first term + ( N -1 ) × d d= common difference i.e 1</em></h3><h3><em></em></h3><h3><em> Tn th terms = 20 + (30 - 1) × 1</em></h3><h3><em></em></h3><h3><em>Thus, Tn th terms = 49</em></h3><h3><em></em></h3><h3><em>i.e The number of seats in 30th row = 49</em></h3><h3><em></em></h3><h3><em>Now again Total number of seats in theater</em></h3><h3><em></em></h3><h3><em>sum of Nth terms = </em></h3><h3><em></em></h3><h3><em>so = </em></h3><h3><em></em></h3><h3><em> = 15 × 69 = 1035</em></h3><h3><em></em></h3><h3><em>Hence, Total number of seats in theater = 1035 Answer</em></h3>
Answer:
a. AB = 3.4 ft
b. AE = 1.6 ft
Step-by-step explanation:
SOH CAH TOA reminds you of the relationship between trig functions and right triangle sides.
a. Cos = Adjacent/Hypotenuse
cos(28°) = BE/BA = 3 ft/BA
Multiplying by BA and dividing by cos(28°), you get ...
BA = (3 ft)/cos(28°) ≈ 3.4 ft
___
b. Tan = Opposite/Adjacent
tan(28°) = AE/BE = AE/(3 ft)
Multiplying by 3 ft, you get ...
AE = (3 ft)·tan(28°) ≈ 1.6 ft
She would need to work for 35 hours.
She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.
