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3 years ago

What two measurement could make up a complementary angle when one angle is 8 degrees more than the other?

1 answer:

7 0

Complimentary angles add up to 90 degrees

x + y = 90
x = y + 8

y + 8 + y = 90
2y + 8 = 90
2y = 90 - 8
2y = 82
y = 82/2
y = 41

x = y + 8
x = 41 + 8
x = 49

so ur angles are : 41 and 49

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Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs

lianna [129]

Answer:

The equation for the distance Jane's trainer bikes is $x=\sqrt{16^2+12^2}$ .

Step-by-step explanation:

We have attached diagram for your reference.

Given:

Distance traveled on bike towards south = 16 miles

Distance she ran towards west = 12 miles

We need to find distance Jane's trainer bikes.

Solution:

Let the distance Jane's trainer bike be 'x'.

Now we will assume it to be right angled triangle.

So by Pythagoras theorem which states that;

"Square of the third side is equal to the sum of square of the other two sides."

framing in equation form we get;

$x^2=16^2+12^2\\\\x=\sqrt{16^2+12^2}$

Hence the equation for the distance Jane's trainer bikes is $x=\sqrt{16^2+12^2}$ .

On solving we get;

$x=\sqrt{16^2+12^2}\\\\x= \sqrt{256+144}\\ \\x=\sqrt{400} \\\\x=20\ miles$

Hence Jane's trainer bikes a distance of 20 miles.

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3 years ago

In a multiple linear regression analysis, statistical model utility is determined by the value of R2 and 2s, while practical mod

Natali [406]

Answer:

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

Step-by-step explanation:

Solution:

In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.

The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.

The F test for overall significance has two hypotheses:

1- Null hypothesis:

The fit of the intercept only model and your model are equal.

2- Alternative hypothesis:

The fit of the intercept-only model is significantly reduced compared to your model.

Compare p-value for the F test,

If the p-value is less than the significance level, the sample data provide sufficient evidence that the regression model fits the data better with no independent variable.

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3 years ago

Find the value 12 to the second power

Valentin [98]

12 to the second power is equal to 144

(12 x 12)

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3 years ago

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nata0808 [166]

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