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Shkiper50 [21]
3 years ago
9

The function A(b) relates the area of a trapezoid with a given height of 12 and

Mathematics
1 answer:
Flura [38]3 years ago
5 0

Answer:

B(a)=\frac{a}{6}-9

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

A(b)=12(\frac{b+9}{2})

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

A=6(b+9)

Divide by 6 both sides

\frac{A}{6}=b+9

subtract 9 both sides

\frac{A}{6}-9=b

Rewrite

b=\frac{A}{6}-9

Convert to function notation

B(a)=\frac{a}{6}-9

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Mademuasel [1]

Answer:

B. 0.25

Step-by-step explanation:

The constant proportionality is 0.25 because the total cost is 0.25 or 1/4 of the number of tickets sold.

8 0
3 years ago
Read 2 more answers
Determine which lines are parallel and which are not parallel. Explain your reasoning.
NeX [460]

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

6 0
2 years ago
Please need answer help help?!?!?
hjlf

Answer:

5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Instruction
natulia [17]

Answer:

Step-by-step explanation:

Your question has typographical errors. The equation is 2a + b = 15.7, not 2e+b-15.7

2a + b = 15.7

b = 15.7  - 2a

since a > b, a = 6.3 cm

b = 15.7 - 2·6.3 = 3.1 cm

3 0
3 years ago
Please help this is due tomorrow.<br><br> 1/2 of 20?
Mars2501 [29]

1/2 of 20 is 20/2 which is 10.

All you really need to do here is to divide 20 by 2 to get 10.


6 0
3 years ago
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