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3 years ago

Math help please help thanks

Mathematics

1 answer:

ser-zykov [4K]3 years ago

5 0

Answer:

Step-by-step explanation:

Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.

The two lines (the one you drew and the left vertical line) meet at right angles.

The upper figure is a rectangle.

Area = L * W

L = 5

W = 4

Area = 5 * 4

Area = 20

Now the bottom rectangle can be found the same way.

Area = L * W

L = 14

W = 3

Area = 14 * 3

Area = 42

The total area = 42 + 20

Total area = 62.

The comment was correct.

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Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. Using the formula H(t

Sedaia [141]

Answer:

The maximum height of soccer ball is 12.25 ft.

Step-by-step explanation:

It is given that Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. It means v = 28 ft.

Given formula is

$H(t)=-16t^2+vt+s$

The initial height of ball is 0.

$H(0)=-16(0)^2+v(0)+s$

$0=s$

The height of ball defined by the function

$H(t)=-16t^2+(28)t+0$

$H(t)=-16t^2+28t$

It is a downward parabola and the vertex of a downward parabola is the point of maxima.

The vertex of a parabola $f(x)=ax^2+bx+c$ is

$(\frac{-b}{2a},f(\frac{-b}{2a}))$

$\frac{-b}{2a}=\frac{-28}{2(-16)}=0.875$

$H(0.875)=-16(0.875)^2+28(0.875)=12.25$

Therefore the maximum height of soccer ball is 12.25 ft.

5 0

2 years ago

Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1030 was collected. First

Marrrta [24]

Answer:

170 tickets.

Step-by-step explanation:

Write formulas for the question.

$N_2+N_3=400$

$2N_2+3N_3=1030$

Then use substitution.

$N_2=-N_3+400$

$2(-N_3+400)+3N_3=1030$

$-2N_3+800+3N_3=1030$

$N_3=230$

So number of $3 tickets sold is 230. But they ask for the tickets bought in advance (i.e. the tickets sold for $2). Use substitution again.

$N_2+230=400\\N_2=400-230\\N_2=170$

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Answer:

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Step-by-step explanation:

Distributive property says that

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By distibutive property,

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Step-by-step explanation:

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