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3 years ago

Volume of prisms mathswatch answers

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

8 0

Answer:

Volume of recangular prisms is l*w*h, triangular prism is (l*w*h)/3

Step-by-step explanation:

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A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main

KatRina [158]

Answer:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

$x +y+z=800 ..... (1)$

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

$\Rightarrow 40x + 30y+20z=23200 ...... (2)$

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

$\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)$

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

$\Rightarrow 20x = 3200\\\Rightarrow x = 160$

Putting value of x in equations (1) and (2):

Equation (1)

$\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)$

Equation (2)

$\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)$

Equation (5) - 2 $\times$ Equation(4):

$\Rightarrow y =400$

Putting value of y in equation (4):

$400 +z = 640\\\Rightarrow z =240$

Hence, answer is:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

4 0

3 years ago

Please help i will give extra points

Goryan [66]

Answer:

Step-by-step explanation:

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(shown in image attached)

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3 years ago

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Solve Tan^2x/2-2 cos x = 1 for 0 < or equal to theta < greater or equal to 1.

mixer [17]

Answer:

x = theta = 0°

Step-by-step explanation:

Given the trigonometry function

Tan²x/2-2 cos x = 1

Tan²x-4cosx = 2 ... 1

From trigonometry identity

Sec²x = tan²x+1

tan²x = sec²x-1 ... 2

Substituting 2 into 1, we have:

sec²x-1 -4cosx = 2

Note that secx = 1/cosx

1/cos²x - 1 - 4cosx = 2

Let cosx. = P

1/P² - 1 - 4P = 2

1-P²-4P³ = 2P²

4P³+2P²+P²-1 = 0

4P³+3P² = 1

P²(4P+3) = 1

P² = 1 and 4P+3 = 1

P = ±1 and P = -3/4

Since cosx = P

If P = 1

Cosx = 1

x = arccos1

x = 0°

If x = -1

cosx = -1

x = arccos(-1)

x = 180°

Since our angle must be between 0 and 1 therefore x = 0°

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3 years ago

Plz answer I will make brainiest plzzz I need right answer ASAP!!!!!

Alla [95]

Answer:

its 6 square feet

s = 1

1^2 = 1

6 x 1 = 6

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3 years ago

What equation represents the linear equation shown in the graph? Enter your answer in the box. Write your answer in the form y =

leonid [27]

It would be y = -1/4x + 4

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4 years ago

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