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pashok25 [27]
2 years ago
7

3) Tara sold candles to raise money for new playground equipment at her school.

Mathematics
1 answer:
Ronch [10]2 years ago
3 0

Answer:

Tara's current expression finds how much the school will be keeping. 50 x 2/5 (also written as 50 x 0.4) totals out as 20. $20 is 2/5 of $50. The expression that Tara SHOULD have written to find how much goes to the candle company would be 50 x 3/5 (also written as 50 x 0.6), as this adds up to 30. $30 is 3/5 of $50.

Step-by-step explanation:

50/5 = 10 which means that 1/5 of 50 = 10.

2/5 of 50 ($20) is kept by the school. This is what Tara's expression finds. This means that $30 is sent to the candle company, and can be found with the expression 50 x 3/5.

The decimals are created by dividing the numerator of the fraction by the denominator (I find it easier to do math with decimals).

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Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?
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Answer:

\cos (a-b)=\cos a \cos b+\sin a \sin b

Step-by-step explanation:

 Given : \cos (180^{\circ}-q)=-\cos q

We have to write which identity we will use to prove the given statement.

Consider \cos (180^{\circ}-q)=-\cos q

Take left hand side of given expression \cos (180^{\circ}-q)

We know

\cos (a-b)=\cos a \cos b+\sin a \sin b

Comparing , we get, a= 180° and b = q

Substitute , we get,

\cos (180^{\circ}-q)=\cos 180^{\circ}  \cos (q)+\sin q \sin 180^{\circ}

Also, we know \sin 180^{\circ}=0 and \cos 180^{\circ}=-1

Substitute, we get,

\cos (180^{\circ}-q)=-1\cdot \cos (q)+\sin q \cdot 0

Simplify , we get,

\cos (180^{\circ}-q)=-\cos (q)

Hence, use difference identity to  prove the given result.

7 0
3 years ago
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2 years ago
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Harman [31]

Answer:

m∠JLN = 42°

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Step-by-step explanation:

m∠JLN = 90-48=42°

m∠MLK = 90°

m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)

m∠JLO = 180-42=138°

For the second question, things become somewhat more complex.

We know that ∠GHD = 2x° and ∠AGH (x+15)°.

You correctly calculated that x=15°.

∠AGE is equal to both 180-(x+15)° and 180-2x°. Either equation will work just fine.

∠AGE = 180 - (15 + 15) = 180 - 30 = 160°

So m∠AGE = 160°

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3 years ago
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