Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics

1 answer:

kramer2 years ago

5 0

Answer:

Step-by-step explanation:

Use sine.

$sine=\dfrac{opposite}{hypotenuse}$

We have:

$opposite=x\\hypotenuse=16$

$\sin40^o\approx0.6428$ look at the table in the picture

Substitute:

$\dfrac{x}{16}=0.6428$ multiply both sides by 16

$x=10.2848\to x\approx10.3$

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Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?

Len [333]

3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
y = 3/4 x - 2

Need to check if the given choices have the same slope.

3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2

6x - 8y = 12
-8y = -6x + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2

9x - 12y = 24 This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
y = 3/4 x - 2

16x + 12y = -10
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y = -1 1/3 x - 5/6

4 0

2 years ago

Read 2 more answers

Express 0.6 as a fraction.

ollegr [7]

Answer: 3/5

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.6 is 6 tenths. So we can write 0.6 as the fraction 6/10.

Notice however that 6/10 is not in lowest terms.

So we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.

So if we divide the numerator and denominator by 2, we get 3/5.

So 0.6 can be written as the fraction 3/5 which is in lowest terms.

Image provided showing the place value chart.