What is the approximate value of tan C?

Answer:

91

Step-by-step explanation:

91

Answer:

8.06

Step-by-step explanation:

Answer:

Part A)

[tex]\begin{aligned} x+y&=120 \\ 90x+250y&=27600\end{aligned}[/tex]

Part B)

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Flight X made $1,350 and Flight Y made $26,250.

Step-by-step explanation:

Let the amount of tickets sold by Flight X be represented by x and the amount of tickets sold by Flight Y be represented by y.

Part A)

The airline sold 120 tickets in total. Hence:

[tex]x+y=120[/tex]

Each x ticket costs $90 and each y ticket costs 250. The total income was $27,600. Thus:

[tex]90x+250y=27600[/tex]

Our system of equations is:

[tex]\begin{aligned} x+y&=120 \\ 90x+250y&=27600\end{aligned}[/tex]

Part B)

Solve the system of equations. We can use substitution. From the first equation, subtract y from both sides:

[tex]x=120-y[/tex]

In the second equation, we can divide everything by 10 and substitute in x:

[tex]9(120-y)+25y=2760[/tex]

Simplify:

[tex]16y+1080=2760[/tex]

So:

[tex]y=105\text{ tickets}[/tex]

Using the equation above:

[tex]x=120-(105)=15\text{ tickets}[/tex]

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Since each ticket of Flight X sold for $90 and Flight X sold 15 tickets, Flight X made $1,350.

Then it follows that Flight Y made $26,250.

Answer:

its a function something to remember is if anything on the y line (up and down) touches its not a function otherwise it is

Step-by-step explanation:

Answer:

0.10

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

10%

10/100 = 1/10 = 0.1

Explanation:

Form a horizontal line as shown below (see attached image). This forms 2 separate smaller rectangles

The total area is therefore 32+9 = 41 cm^2

You can say "square cm" or "sq cm" in place of the "cm^2".

You can solve this in two different ways. In both ways, however, use the formula for the area of a square/rectangle. The formula is:

Area = Length x Width

A = L x W

To solve, divide the shape given into two rectangles. Then, find the areas of the two different rectangles and add them

The answer should be diameter.

Answer:

diameter

Step-by-step explanation:

Answer:

ea

Step-by-step explanation:

Answer:

(3, -5)

Step-by-step explanation:

So, there are three steps in finding the vertex.

We need to first find a, b and c. a is the x^2 coefficent, b is the x cofficent, and c is the number value. In this case:

a=1, b=-6, and c=4

To find the x value of the vertex, plug in a and b into the formula:

-b/2a = x coord of vertex:

-*-6/2*1

=

6/2

=

3

So the x coordinates of the vertex is 3.

To find the y cooridnates, plug in 3 into the orginal equation:

[tex](3^2)-(6*3)+4[/tex]

=

[tex]9-18+4[/tex]

=

[tex]-5[/tex]

So -5 is the y coordinates of the vertex.

Answer:

(3, -5)

Hope this helps!

Going over steps:

Step 1 - Find values a b and c: a=x^2 coefficent. b=x coefficent. c=number

Step 2 - Plug in a and b into -b/2a

Step 3 - Plug in x into equation

Answer:

B

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

80 =     4*    20

     2*2      2 * 10

                       2 *5

We are breaking the numbers into primes

2*2*2*2*5

Answer:

-100x=-100

x=1

Step-by-step explanation:

(simplifying the equation)

-100x-100=0

-100x=-100 they subtracted -100 from both sides

x=1  then divided by -100

:) ur welcome

Answer:

Step-by-step explanation:

-100x=-1

the most important part of the quadratic function is its vertex. ... Graph the function by finding the vertex and two points on each side of the ... A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked was h(t) = 20 - 16t2 + 32t.

Answer:

(36,-30)

Step-by-step explanation:

y = -30

Solve for x

y = -x+6

-30 = -x+6

Subtract 6 from each side

-36 = -x

Multiply each side by -1

x = 36

Answer:

A. (45, –30)

Step-by-step explanation:

trust me<33

Answer: 9.31*10^-3

Step-by-step explanation:

The decimal number 0.00931 written in standard form is 9.31•10^-3

Estimated is 9•10^-3

Heart it if it helps!

Answer:

The answer would be D

Step-by-step explanation:

Got it right on Edge 2021

Answer:

254.34cm²

Step-by-step explanation:

the bowl is shaped is shaped in the form of a circle

Area of the bowl is equal to the area of a circle

area of a circle = πr²

π = 3.14

r = 18/2 = 9

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x 9² = 254.34cm²

Answer:

f(x) = 3x + 50 is the equation in function notation.

(22, 116) is the ordered pair for 22 deliveries.

Step-by-step explanation:

First, create the equation. Let x represent how many deliveries he makes.

Since he makes $3 on each delivery, the total amount he makes from deliveries can be represented by 3x.

He also makes $50 a shift, so add this to 3x in the equation:

f(x) = 3x + 50 is the equation in function notation.

Find how much he will make if makes 22 deliveries. Plug in 22 as x:

f(x) = 3x + 50

f(22) = 3(22) + 50

f(22) = 66 + 50

f(22) = 116

So, he will make $116.

As an ordered pair, the solution is (22, 116).

Answer:

f(x) = 3x + 50

Step-by-step explanation:

If he makes $50.00 a shift, and $3.00 for each delivery, and he makes 22 deliveries in one shift then the equation (in function notation) would be f(x) = 3x + 50.  and the solution to the equation is 116.

Answer:

What is the slope of the line that represents the turtle's path?

=0.8

What are the values of the constants in the vertex form of the quadratic equation that models the bird's path?

h=0

k=20

a= -0.12

Which system of equations could you use to determine where the paths intersect?

=B) y = 0.8x and y = -0.12x2 + 20

Step-by-step explanation:

your welcome <3

Based on the graph, the values of the constants in the vertex form of the quadratic equation are:

Generally, the vertex form of a quadratic equation can be used to model or write an equation of the function of a graph.

Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.

Note: The sign on "a" indicates whether the quadratic equation opens up or opens down.

Based on the complete information, we can deduce that the values of the constants in the vertex form of the quadratic equation are:

Read more on vertex here: brainly.com/question/525947

Answer:

each teammate contributed 1.43 sorry but i do not know how many members they have because my head hurts

Answer:

1 ; 3

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

$467.8125

Step-by-step explanation:

Percentage increase = 25% × 374.25

New value = 374.25 + Percentage increase

New value =

374.25 + Percentage increase =

374.25 + (25% × 374.25) =

374.25 + 25% × 374.25 =

(1 + 25%) × 374.25 =

(100% + 25%) × 374.25 =

125% × 374.25 =

125 ÷ 100 × 374.25 =

125 × 374.25 ÷ 100 =

46,781.25 ÷ 100 =

467.8125 ≈

467.81

Answer:

Step-by-step explanation:

Smaller Canister:

Height, h = 12cm

Diameter = 9cm

Radius, r = 4.5 cm

[tex]Volume = \pi r^2h\\[/tex]

           [tex]=\pi \times 4.5^2 \times 12\\\\=243 \pi \ cm^3[/tex]

[tex]Surface \ area = 2 \pi r(r + h)\\[/tex]

                    [tex]=2 \times \pi \times 4.5 ( 4.5 + 12)\\\\= \pi \times 9(16.5)\\\\=148.5 \ cm^2[/tex]

Larger Canister:

Measures double the smaller canister, that is

height, H = 24 cm

Diameter = 18cm

Radius, R = 9cm

[tex]Volume = \pi R^2 H\\[/tex]

           [tex]= \pi \times 9^2 \times 24\\\\= \pi \times 81 \times 24 \\\\= 1944 \pi[/tex]

[tex]Surface \ area = 2 \pi R(R+ H)[/tex]

                    [tex]= \pi \times 2 \times 9 ( 9 + 24) \\\\= \pi \times 18(33)\\\\=594 \pi \ cm^2[/tex]

Comparing results :

[tex]Volume_{small} = \pi r^2 h\\\\Volume_{large} = \pi R^2 H = \pi(2r)^2(2h) = \pi(4r^2)(2h)= 8 \pi r^2h = 8 \times volume_{small}[/tex]

Therefore, volume of larger canister is 8 times the volume of smaller canister.

[tex]Surface\ area _{larger} = 2 \pi R(R + H) = 2 \pi(2r)((2r+2h))\\\\[/tex]

                                                   [tex]=2 \ pi \times 2r \times 2 (r+ h)\\\\= 4 \times 2\pi r(r+ h) \\\\= 4 \times surface\ area_{smaller}[/tex]

Therefore, surface area of larger canister is 4 times the surface area of smaller canister.

Answer:

The answer is below

Step-by-step explanation:

Breakeven point is the point of balance where their is neither a loss or a profit. At the breakeven point, the revenue gotten from the sell of goods is equal to the cost of production of the goods, hence the profit is zero.

Given the profit function:

P=-2b² + 14b - 20

At breakeven P = 0, hence:

0 = -2b² + 14b - 20

-2b² + 14b - 20 = 0

-2b² + 10b + 4b - 20 = 0

-2b (b - 5) + 4(b - 5) = 0

(b - 5)(-2b + 4) = 0

b - 5 = 0; or -2b + 4 = 0

b = 5; or b = 2

Since b is in thousands, hence the company breaks even when the number of skateboards produced is either 2000 or 5000

The probability of a customer ordering a cold drink given that they ordered a large is 0.1852 or about 18.52%.

Let us find the individual probabilities.

P(Large | Cold) = 5/25 = 0.2 (out of 25 cold drinks, 5 were large)

P(Cold) = (8+12+5)/100 = 0.25 (out of 100 orders, 25 were cold)

P(Large) = (22+5)/100 = 0.27 (out of 100 orders, 27 were large)

Now we can plug these values into Bayes' theorem:

P(Cold | Large) = 0.2 × 0.25 / 0.27

P(Cold | Large) = 0.1852

Therefore, the probability of a customer ordering a cold drink given that they ordered a large is 0.1852 or about 18.52%.

To learn more on probability click:

https://brainly.com/question/11234923

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