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MAVERICK [17]
3 years ago
14

A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of

35 miles per gallon of gas. During one particular week, the two cars went a combined total of 1175 miles, for a total gas consumption of 45 gallons. How many gallons were consumed by each of the two cars that week?
Mathematics
2 answers:
garri49 [273]3 years ago
8 0

Answer:

first car

Step-by-step explanation:

vodka [1.7K]3 years ago
7 0

Answer:

the 35 mile one spent 20 gallons of gas and the 15 miles one spent 25 gallons

Step-by-step explanation:

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Step-by-step explanation:

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Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?
Phantasy [73]

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.

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