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3 years ago

13

Triangles 1 and 2 are both isosceles. They each have a 30 degree angle. Explain why these triangles don't have to be similar to

each other.

1 answer:

Vladimir79 [104]3 years ago

8 0

Step-by-step explanation:

Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.

Since they do not have all 3 congruent angles, they are not similar.

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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

bonufazy [111]

Answer:

a) The demand function is

$q(p) = -4 p + 107$

b) The nightly revenue is

$R(p) = -4 p^2 + 107 p$

c) The profit function is

$P(p) = -4 p^2 + 133.75 p - 939$

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

$s = \frac{79-43}{7-16} = \frac{36}{-9} = -4$

Since the demand takes the value 79 in 7, then

$q(p) = -4 (p-7) + 79 = -4 p + 107$

b) The nightly revenue can be found by multiplying q by p

$R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p$

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

$P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939$

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

$r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41$

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0

3 years ago

the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost

Katarina [22]

Answer: Boat cost $ 3200

Trailer cost $ 800

Step-by-step explanation: From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)

i.e t = 1/4b

multiply through by 4

4t = b

both cost 4,000

i.e t + b = 4000

recall: b = 4t

therefore

t + 4t = 4000

5t = 4000

t = 4000/5

t = 800

b = 4000 - 800

b = 3200

4 0

4 years ago

Explain how you would find the total value of two $1 bills and 3 quarters

jeka57 [31]

2 $1 bills would equal $2 because they are $1 bills 1+1=2. Three quarters would equal .75 cents because a quarter equals .25 cents

5 0

4 years ago

Solutions for x2 −22x+121=49

slamgirl [31]

The answer is d I think

5 0

3 years ago

Please help me write an equation.

vekshin1

Answer:

k=6

Step-by-step explanation:

Line partition formula

1/b(x2-x1)+x1, 1/b(y2-y1)+y1

Where b is the number partitions.

We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.

1/b(17-2)+2=7

1/b(15)=5

1/b=1/3

b=3

so the partition is 1/3

$\frac{1}{3} (17 - 2) + 2 = 7$

So let find the y coordinate

$\frac{1}{3} (8 - 5) + 5 = 6$

So our y coordinate is 6.

4 0

3 years ago