A sector of a circle has a central angle of 60◦ . find the area of the sector if the radius of the circle is 3 mi.

THIS IS MY LAST QUESTION. Okay, im a bit anxious to get this done. Ive done half the problem, I just need the other half.

igor_vitrenko [27]

Answer:

umef leaf ninja the frog held a

7 0

3 years ago

A movie theater earned $3,600 in sold-out ticket sales for the premiere of a new movie. VIP tickets cost $20 per person and regu

julia-pushkina [17]

There are 300 seats in the theater.

Step-by-step explanation:

Given,

Cost of one VIP ticket = $20

Cost of one regular ticket = $8

Worth of sold out tickets = $3600

Let,

x represent the number of VIP tickets sold

y represent the number of regular tickets sold

20x+8y=3600 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$20x+8(2x)=3600\\20x+16x=3600\\36x=3600$

Dividing both sides by 36

$\frac{36x}{36}=\frac{3600}{36}\\x=100$

Putting x=100 in Eqn 2

$y=2(100)\\y=200$

Total = x+y = 100+200 = 300

There are 300 seats in the theater.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

6 0

3 years ago

Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

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Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

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Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

Factor the expression. x squared-25

grin007 [14]

X2 - 25 = x2 - 52 = (x - 5)(x + 5)

4 0

4 years ago

A 5-pound sack of potatoes is supposed to weigh 5

TEA [102]

Answer:

t test for one mean.

met

Step-by-step explanation:

5 0

2 years ago