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bogdanovich [222]
4 years ago
7

4x + 2y = 14 8x + y = 10 Simultaneous equations

Mathematics
1 answer:
k0ka [10]4 years ago
8 0
4x + 2y = 14
8x + y = 10
7 - 2x = 10 - 8x
7 + 6x = 10
6x = 3
x = 1/2
y = 6
Hope this helps!
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Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two
svp [43]

Answer:

θ∈{\frac{\pi }{8},\frac{5\pi }{8},\frac{9\pi }{8},\frac{13\pi }{8}}

Explanation:

The given equation is

sin(2\theta )-cos(2\theta )=0

\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}

Applying values on 'n' we obtain values of θ that beling to [0,2π)

For n=0, θ=\frac{\pi }{8}

For n=1, θ =\frac{5\pi }{8}

For n=2,θ =\frac{9\pi }{8}

For n=3,θ =\frac{13\pi }{8}

6 0
4 years ago
The area of the base of a cube is 36 in2.<br> What is the total surface area of the cube?
irina [24]
216 in^2 ( its 2 squared but that’s how I can write it on my phone)

All the sides of a cube are the same and there are 6 sides to a cube so if we have 36 as our are of the base then we just have to multiply that by 6

36 x 6= 216

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3 years ago
Find the greatest common factor of the terms in the following expression: 8m + 18mn.
DanielleElmas [232]

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The greatest common factor is 2m

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3 years ago
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What is the equation of the line in slope-intercept form?
Anuta_ua [19.1K]

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Step-by-step explanation:

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3 years ago
Suppose you performed this experiment, and the percentage difference from the accepted value of the density of copper and your v
GREYUIT [131]

Answer:

The answer is 2%

Step-by-step explanation:

Steps to Calculate the Percent Error

Subtract the accepted value from the experimental value.

Take the absolute value of step 1

Divide that answer by the accepted value.

Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now let’s try an example problem.

You are given a cube of pure copper. You measure the sides of the cube to find the volume and weigh it to find its mass. When you calculate the density using your measurements, you get 8.78 grams/cm3. Copper’s accepted density is 8.96 g/cm3. What is your percent error?

Solution:

experimental value = 8.78 g/cm3

accepted value = 8.96 g/cm3

Step 1: Subtract the accepted value from the experimental value.

8.78 g/cm3 – 8.96 g/cm3 = -0.18 g/cm3

Step 2: Take the absolute value of step 1

|-0.18 g/cm3| = 0.18 g/cm3

Step 3: Divide that answer by the accepted value.Percent Error Math 3

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.02 x 100 = 2

2%

The percent error of your density calculation was 2%.

8 0
3 years ago
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