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harkovskaia [24]
2 years ago
9

Write each pair of quantities as a unit rate.

Mathematics
1 answer:
Ronch [10]2 years ago
3 0
A) 75heartbeats per min
B) $9.35 per ticket
C) 2.25 per golf ball
D) $9.75 per hour
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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.

7 0
4 years ago
Read 2 more answers
12 tickets sold for every 4 tickets not sold if 704 were not sold how many tickets were sold
horsena [70]

there would be 14 tickets

4 0
3 years ago
|2x - 3] > 7 is equivalent to:
GrogVix [38]

Answer:

x<5

Step-by-step explanation:

2x-3>7 you add three to both sides

2x>10 you then divide 2x by 2 and 10 by 2 which switches the symbol around

x<5 that's the answer

4 0
3 years ago
Read 2 more answers
A simple way to describe a Coefficient?
goldenfox [79]

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

Hope it helps

7 0
3 years ago
Read 2 more answers
1 For each line
Elena-2011 [213]

Step-by-step explanation:

I'll do line A for you and you can use the formulas to solve lines B and C yourself, since its good for you to practice doing these questions yourself

a)

The gradient, m, is calculated using m = (y2-y1)/(x2-x1) where x1,x2,y1 and y2 can be any ordered pairs on the line.  I'm going to use (4,0) and (7,3) as the 2 points.

m = (3-0)/(7-4) = 3/3 = 1

b)

The y-intercept is where the line intersects with the x-axis. In this case (0,-4)

c)

The equation of a linear line is y=mx+b (or c depending on which country you are from)

y = 1x-4

y=x-4

Now try the other 2 lines yourself!

If this answer has helped you, considered making this the brainliest answer!

5 0
3 years ago
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