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iragen [17]
3 years ago
13

Andre tried to solve the equation 1/4(x+12)=2 what was his mistake?

Mathematics
2 answers:
timofeeve [1]3 years ago
7 0
He didn’t multiply by 4 first
GalinKa [24]3 years ago
3 0

Answer:

x = 8 (read below for Andre's mistakes)

Step-by-step explanation:

How to actually solve:

1/4(x+12) = 2

1/4(-4+12)=2

1/4(8)=2

How he solves:

1/4(x+12)=2

1/4(x+12)-12=2-12

1/4x=-10

x=-40

So apparently Andre's first mistake is he didn't use PEMDAS. His second mistake was instead of dividing by 4, he multiplied by 4.

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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.

5 0
3 years ago
if the exchange rate of euro to the us dollar is 1 euro = $1.13, how much would you receive if you wished to exchange 235 euros?
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3 years ago
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Last option

8 0
3 years ago
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elena-s [515]
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