The angle is 127°, so the Pythagorean theorem does not apply.
Generally, you would use the Law of Cosines to solve for the third side when given two sides and the angle between them.
EF^2 = 7^2 +15^2 -2*7*15*cos(127°)
EF ≈ √(400.3812) ≈ 20.00953
My guess is that you're expected to use 20 for the length of the 3rd side.
By Heron's formula, s = (7 +15 +20)/2 = 21
Area = √(21*(21 -7)*(21 -15)*(21 -20)) = √(21*14*6*1) = √1764 = 42 . . . . yd^2
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More directly,
.. Area = (1/2)*7*15*sin(127°) ≈ 41.928 . . . . yd^2
So, how far is the car from where it was at t = 0 is 40 m
<h3>Velocity of the car</h3>
Since the location x of the car in meters is given by the function x = 30t - 5t² where t is in seconds, we need to find the time at which its velocity is 10 m/s in the negative direction by differentiating x with respect to t to find its velocity, v.
So, v = dx/dt
= d(30t - 5t²)/dt
= d30t/dt - d5t²/dt
= 30 - 10t
When v is 10 m/s in the negative direction, v = -10 m/s.
So, v = 30 - 10t
-10 = 30 - 10t
-10 - 30 = -10t
-40 = -10t
t = -40/-10
t = 4 s
<h3>The distance at 4 s when its velocity is -10 m/s</h3>
Since at t = 4 s, its velocity is -10 m/s and x = 30t - 5t² is the car's location. The car's distance from t = 0 after its velocity is -10 m/s is
x(4) - x(0) = 30(4) - 5(4)² - [30(0) - 5(0)²]
= 120 - 5(16) - [0 - 0]
= 120 - 80 - 0
= 40 m
So, how far is the car from where it was at t = 0 is 40 m
Learn more about distance of car here:
brainly.com/question/17097458
Answer: the number of scented candles ... x
the number of unscented candles ... y
x + y = 28
$16 * x + $10 * y = $400 ... 16 * x + 10 * y = 400
Step-by-step explanation: This is the equation
16 * (28 - y) + 10 * y = 40016 * 28 - 16 * y + 10 * y = 400448 - 400 = 16 * y - 10 * y48 = 6 * y /6y = 48 / 6y = 8x = 28 - y = 28 - 8 = 20Result: The candle shop sold 20 scented candles and 8 unscented candles today.
Please give me Brainliest
184 - 124 = 60
so it has grown by 60 in 18 months. That is 3 1/3 per month.
so Number of citizens depending on month is 124 + (1 1/3)n
or 124 + 4n/3:
At population 1000:-
124 + 4n/3 = 1000
4n/3 = 1000-124
n = (1000-124) * 3/4 = 657 months
Answer:
57 years old
Step-by-step explanation:
- 400 - 3x = 229
- 3x = 171
- x = 57
- 400 - 171 = 229
