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Brut [27]
3 years ago
7

A RIGHT triangle has two other angles measuring x and 2x. What does x equal?

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer:

x = 30

Step-by-step explanation:

because the interior angles of a triangle = 180° so if you subtract 90° you get 90. in order to get 90 you can use the equation x + 2x = 90 which you will then get x = 30

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James will need about 5.008 Liters of Paint.

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4 years ago
If your starting salary is $50,000 and you receive a 4%increase at the end of every year, what is the total amount, indollars, y
Softa [21]
Answer

Total amount earned after 16 years = $93649

Explanation:

The principal, P = $50,000

Interest rate, r = 4% = 4/100

r = 0.04

The time, t = 16 years

Number of times intesrest is compounded per year, n = 1

Total amount is calculated below:

\begin{gathered} A=P(1+r)^t \\  \\ A=50000(1+0.04)^{16} \\  \\ A=50000(1.04)^{16} \\  \\ A=\$93649 \end{gathered}

Total amount earned after 16 years = $93649

4 0
1 year ago
Jason flips a coin 100 times and lands on heads 59 times. He states that the theoretical probability of flipping a coin and gett
BabaBlast [244]
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3 0
3 years ago
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
Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could
Shkiper50 [21]

Answer:

(x, y) = (-2, -6)

Step-by-step explanation:

Learn more at brainly.com/question/15168004

5 0
3 years ago
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