3 years ago

Problem 3.2

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Answer:

1:1

Step-by-step explanation:

w = f, which means the amount of water equals the amount of flour.

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PROVE : sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4

leva [86]

Step-by-step explanation:

$\sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4}$

$\sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30)$

$\frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4}$

$\frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4}$

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2 years ago

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl

BigorU [14]

You have two 30-60-90 triangles, ADC and BDC.

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse
1 : sqrt(3) : 2

Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC

First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30

Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10

AB = AC - BC = 30 - 10 = 20

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3 years ago

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Solve the equation: x^2 - 6x = 7 A. x = 7 , 1 B. x = -7 , 1 C. x = 7 , -1

Alex777 [14]

x^2 - 6x = 7
(x - 7)(x + 1)= 0
x = 7, - 1

The answer is: x = 7, -1.

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3 years ago

If it takes bottling machine to fill 150 bottles per minute, how many minutes will it take the machine to bottle 4500 bottles

RSB [31]

It takes bottling machine to fill 4500 bottles in 30 minutes.

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