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Usimov [2.4K]
3 years ago
11

I have to find the area

Mathematics
2 answers:
andrew11 [14]3 years ago
6 0
Your best choice is 11.55. 

5.5 · 4.2 equals 23.1. You don't need the 6.9.

You then need to do 23.1 ÷ 2 which is 11.55 m².

Hope this helps!
Alina [70]3 years ago
4 0
The formula for finding the area of a triangle is: base*height*1/2
So, if we use this information....
4.2*5.5*1/2=11.55
Area=11.55
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Evaluate the function f(x)= x^2 + 6x for the given value of x. Simplify your answer.
Anit [1.1K]

Step-by-step explanation:

f\left(x^2+6x+h\right)

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=fx^2+6fx+fh

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A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. to 2 decimal place
Kazeer [188]

The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.

First we will draw a right angle triangle ΔABC, where ∠B = 90°

Lets, assume the height(AB) = h and base(BC)= x

If the angle of elevation, ∠ACB = α, then

tan(α) = \frac{AB}{BC} = \frac{h}{x}

Taking inverse trigonometric function, α = tan⁻¹ (\frac{h}{x}) .............(1)

As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :

\frac{d\alpha}{dt}=[\frac{1}{1+ \frac{h^2}{x^2}}]*(\frac{1}{x})\frac{dh}{dt}

Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,

that means h = 40 feet and \frac{dh}{dt} = 10 feet/second.

C is the observer's position which is 50 feet away from the point B, so x = 50 feet.

\frac{d\alpha}{dt}= [\frac{1}{1+ \frac{40^2}{50^2}}] *\frac{1}{50} *10\\ \\ \frac{d\alpha}{dt} = [\frac{1}{1+\frac{16}{25}}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt} = [\frac{25}{41}] *\frac{1}{5}\\   \\ \frac{d\alpha}{dt}= \frac{5}{41} =0.1219512

= 0.12 (Rounding up to two decimal places)

So, the rate of change of the angle of elevation is 0.12 radians/second.

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3 years ago
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Which angle corresponds to < 8?​
Yuri [45]

Answer:

b

Step-by-step explanation:

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3 years ago
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Vsevolod [243]

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6 0
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