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3 years ago

What is the LCD of thw fractions 1/3 and 11/15?

1 answer:

8 0

Least common denominator of those two fractions is 15

Because 15 cant go any less

3 × 1 = 3 15 × 1 = 15
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
3 × 5 = 15

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To find the measure of ∠A in ∆ABC, use the___(Pythagorean Theorem, Law of Sines, Law of Cosines). To find the length of side HI

nadya68 [22]

Part 1) To find the measure of ∠A in ∆ABC, use

we know that

In the triangle ABC

Applying the law of sines

$\frac{a}{sin\ A}=\frac{b}{sin\ B}=\frac{c}{sin\ C}$

in this problem we have

$\frac{a}{sin\ A}=\frac{b}{sin\ theta}\\ \\a*sin\ theta=b*sin\ A\\ \\ sin\ A=\frac{a*sin\ theta}{b} \\ \\ A=arc\ sin (\frac{a*sin\ theta}{b})$

therefore

the answer Part 1) is

Law of Sines

Part 2) To find the length of side HI in ∆HIG, use

we know that

In the triangle HIG

Applying the law of cosines

$g^{2}=h^{2}+i^{2}-2*h*i*cos\ G$

In this problem we have

g=HI

G=angle Beta

substitute

$HI^{2}=h^{2}+i^{2}-2*h*i*cos\ Beta$

$HI=\sqrt{h^{2}+i^{2}-2*h*i*cos\ Beta}$

therefore

the answer Part 2) is

Law of Cosines

3 0

2 years ago

Read 2 more answers

What is the answer to the equation 5+2(x-1)=12

S_A_V [24]

$5+2(x-1)=12 \\ \\ 2 ( x - 1) = 12 - 5 \ / \ subtract \ 5 \ from \ each \ side \\ \\ 2(x - 1) = 7 \ / \ simplify \\ \\ x - 1 = \frac{7}{2} \ / \ divide \ each \ side \ by \ 2 \\ \\ x = \frac{7}{2} + 1 \ / \ add \ 1 \ to \ each \ side \\ \\ x = \frac{9}{2} \ / \ simplify \\ \\$

So, the answer to this problem is x = 9/2 or x = 4.5.

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3 years ago

Read 2 more answers

What is the locus of centers of all circles passing through point A and Point B, which are two fixed points in a plane.

Aleks04 [339]

Answer:

the locus is the perpendicular bisector of the segment

Step-by-step explanation:

The points equidistant from A and B lie on the line that is the perpendicular bisector of segment AB.

_____

Comment on this geometry

You take advantage of this fact when you construct a circle through 3 points. You construct the perpendicular bisectors of segments between pairs of the points, and locate the center of your circle at their intersection.

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GarryVolchara [31]

30 is greater than 3. So 30 > 3

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Answer:

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