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1 year ago

Select the correct answers from each drop-down menu.

Mathematics

1 answer:

Nutka1998 [239]1 year ago

5 0

The proof is correctly started by both Eric and Maggie. Also, the next step in the proof is to multiply both sides by the denominator.

<h3>What is the law of sines?</h3>

In Trigonometry, the law of sines is also referred to as sine law or sine rule and it refers to an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

$\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}$

From the given triangle, we can deduce that:

sin(X) = h₁/z ⇒ h₁ = zsin(X).

sin(Z) = h₁/x ⇒ h₁ = xsin(Z).

sin(Y) = h₂/x ⇒ h₂ = xsin(Y).

sin(X) = h₂/y ⇒ h₂ = ysin(X).

Therefore, the proof is correctly started by both Eric and Maggie. Also, the next step in the proof is to multiply both sides by the denominator.

Read more on law of sines here: brainly.com/question/7922954

#SPJ1

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A poster is to have a total area of 125 cm2. There is a margin round the edges of 6 cm at the top and 4 cm at the sides and bott

jeka57 [31]

Answer:

The correct answer is 15 cm.

Step-by-step explanation:

Let the width of the required poster be a cm.

We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.

Similarly total margin combining both the sides is (4+4=) 8 cm.

So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } $cm^{2}$

This area is equal to 125 $cm^{2}$ as per as the given problem.

∴ (a - 10) × (a - 8) = 125

⇒ $a^{2}$ - 18 a +80 -125 =0

⇒ $a^{2}$ - 18 a -45 = 0

⇒ (a-15) (a-3) = 0

By law of trichotomy the possible values of a are 15 and 3.

But a=3 is absurd as a $>$ 4.

Thus the required answer is 15 cm.

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Answer:

Your answer is D. 4/5 this is because of you had a whole pizza, and split it into five pieces, and somone takes 2 slices, there will be 3/5 of that pizza left, if they only took one, there would be 4/5, which is more pizza than a 3/5 of a pizza

Step-by-step explanation:

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The R-squared is 0.64 and it means that the dependent value explains 64% of the independent value in the simple regression analysis

Step-by-step explanation:

R-Squared value is a very important indicator in a regression analysis.

What does it measure?

It measures how close to the line of best fit are the data points. How good the fitted line is can be indicated by the value of the r-squared.

The maximum value it can take is 1 and at this value, there is a direct and complete relationship between the independent variable x and the dependent variable y. The value 1 represents an 100% relationship between both parties.

The r-squared has a value of between 0 and 100%. The closer to 100, the better the model while the closer to 100, the more faulty the model is. In fact, a value of 0 indicates no relationship at all between the dependent and the independent variable.

With an R-squared value of 0.64, the regression model works above average to explain that the dependent variable explains 64% of the independent value in the simple regression analysis.

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