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3 years ago

5

A small companys net income for the first six months of the year was $76,500 and for the last six months it was $100,000. What i

s the ratio of the first six months of the year in simplest form

1 answer:

Alex_Xolod [135]3 years ago

6 0

Divide until you get one moth alone then multiply then simplify if you don't know how to simplify please pm me.

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wave length = 30/6 = 5m

Step-by-step explanation:

wave travels 30m in one second.

wave completes 6 cycles in one second.

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2% of x = 0.02 * x

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Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units

Arada [10]

Answer:

$RS=2.4\ units$

Step-by-step explanation:

<em>The complete question is </em>

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

see the attached figure to better understand the problem

step 1

Find the measure of angle S

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{QR}{sin(S)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}$

Solve for sin(S)

$sin(S)=\frac{sin(80^o)}{3.1}(2.4)$

$S=sin^{-1}[sin(80^o)}{3.1}(2.4)]$

$S=49.68^o$

step 2

Find the measure of angle Q

Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees

so

$m\angle Q+m\angle R+m\angle S=180^o$

substitute the given values

$m\angle Q+80^o+49.68^o=180^o$

$m\angle Q+129.68^o=180^o$

$m\angle Q=180^o-129.68^o$

$m\angle Q=50.32^o$

step 3

Find the length of segment RS

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{RS}{sin(Q)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{RS}{sin(50.32^o)}$

$RS=\frac{3.1}{sin(80^o)}{sin(50.32^o)}$

$RS=2.4\ units$

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3 years ago

Prove that there are no solutions in integers x and y to the equation 2x^2 + 5y^2 = 14

iren [92.7K]

Solve the equation for y using the formula for slope: y + mx + b

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There is no integer solution to the square root of a negative number.

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