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Lisa [10]
3 years ago
5

Express the fractions 3/4, 7/16, and 5/8 with the LCD.

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Well, to find the lowest common denominator, you would find the least common multiple.

4, 8, 12, 16, 20

8, 16, 24, 32, 40

16, 32, 48, 64, 80

Now with this, you can see the one they all have in common first is 16.

So, your least common denominator is 16.

Since 7/16 already has 16 as a denominator, you don't change it.

Now, 3/4 would equal 12/16. I got this by changing 4 to 16 and figuring out how many times I multiplied 4 to get 16 (4 times), then I multiplied the numerator by this number.

I am going to do the same thing with 5/8, and I get 10/16.

Hope this helps!

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10

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that is the answer
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Hyp=100,adj side=30

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What are the measures of Angles a, b, and c? Show your work and explain your answers.
andreev551 [17]
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
</span>_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof:  All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles. 

2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof:  All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol).  So we know that one angle is 90°.  We also know that m∠a = 30°.  If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.  
 90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ; 
</span>180° - (120°) = m∠b = 60<span>°
</span>___________________________
Now we need to solve for the measure of Angle c (<span>m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and  must add up to 180</span>°.  As shown, Angle c is on a "straight line".  The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram).  As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.
6 0
3 years ago
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Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below.
slavikrds [6]

Answer;

The answer is the second; log ₁₂1/4

Explanation;

From the laws of logarithms, given an expression in the form;

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3 years ago
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