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Fittoniya [83]
3 years ago
15

Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

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Answer:

y=\frac{3}{4}x+-2

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is y -y_{1} =m(x -x_{1}) where we substitute a point (x,y) for (x_{1},y_{1}).  

We have m=3/4 and (4, 1). We input m and x_{1} =4\\y_{1}=1.

y-1=\frac{3}{4} (x-4)

We now simplify the parenthesis and solve for y.

y-1=\frac{3}{4} (x-4)\\y-1=\frac{3}{4}x+\frac{3}{4} (-4)

We convert -4 into a fraction with 1 as the denominator.

y-1=\frac{3}{4}x+\frac{3}{4} (\frac{-4}{1} )\\y-1=\frac{3}{4}x+\frac{-12}{4}\\y-1=\frac{3}{4}x+-3

We add 1 to both sides to isolate y,

y-1+1=\frac{3}{4}x+-3+1\\y=\frac{3}{4}x+-2

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.

4 0
3 years ago
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Step-by-step explanation:

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3 years ago
Explain a real life situation where you may use trig ratios to find measure in right triangles.
OLEGan [10]
One example is if you wanted to measure the height of a tall building. You'll need to measure the distance from where you're standing to the base of the building. You'll also need the angle of elevation. To get the angle of elevation, start by looking completely horizontal, then tilt upward until your eyeline reaches the top of the building. Once you have those two things (the side and angle) you can use the tangent ratio to find the height. This is because

tan(angle) = opposite/adjacent

where in this case
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It takes a bit of algebra, but the opposite side can be solved for. You'll most likely need a calculator to compute the tangent ratio.

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3 years ago
28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explai
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Answer: The coefficient of determination = 0.6291

Step-by-step explanation:

Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.

The coefficient of determination is computed as:

\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}

Substituting given values, we get

\text{coefficient of determination} =\frac{15.405}{24.488}

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Therefore, the coefficient of determination = 0.6291

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2 years ago
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Answer:

D is the answer

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3 years ago
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