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nasty-shy [4]
3 years ago
15

There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal m

odel and algebraic expression to represent the number of fireworks
Mathematics
1 answer:
lukranit [14]3 years ago
8 0

Complete question :

There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks left to be shot off after t minutes.

Answer:

575 - 12t

Step-by-step explanation:

Given the following :

Total number of fireworks = 575

Number of shots per minute = 12

To calculate the number of fireworks left to be shot off after t minutes, The total number of fireworks already shot after the same time interval t in minutes, is first obtained, this is equivalent to (12*t). The result is then subtracted from the total number of fireworks to be shof off.

In algebraic terms

[total number of fireworks on display - (number of shots per minute × t)]

575 - 12t

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A plane flies due south for 600 miles. It turns and flies 250 miles ,35 degrees east of south. How far is the plane from it’s or
Mariulka [41]

The distance of plane from the origin is 357.14 miles

<u>Explanation:</u>

Given:

distance traveled southwards, y = 600 miles

Distance traveled east of south, z = 250 miles

Angle, θ = 35°

Distance of plane from the origin, x = ?

The figure is attached for reference:

tan θ = Perpendicular / base

tan θ = distance travelled east of south / x

tan 35° = 250 / x

we know,

tan 35° = 0.7

So,

0.7 = \frac{250}{x} \\\\x = \frac{250}{0.7} \\\\x = 357.14 miles

Therefore, the distance of plane from the origin is 357.14 miles

6 0
3 years ago
· Arun has x toffees. His sister Arunima has 5 toffees more than Arun. How many
olga55 [171]

Answer:

If the variable is x, then they have x + 5 toffees altogether.

Step-by-step explanation:

There is no way to find x as it is an unknown number. "5 more than" simply means that you add 5 to x.

4 0
2 years ago
Which term describes the point where the three altitudes of a triangle intersect?
kumpel [21]

Answer: Option (B) is the correct answer.

Step-by-step explanation:

A point at which three altitudes of a triangle meet is known as orthocenter.

Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.

When all the three medians of a triangle intersect each other then the point is known as centroid.

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5 0
3 years ago
Read 2 more answers
Solve each equation.
ankoles [38]

Answer:

A. x=2

b. x=28/3 and in decimal it is x=9.3 and in fraction it is

x= 9 1/3

c. x=20

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Step-by-step explanation:

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2 years ago
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Vilka [71]

Answer: 87.95

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10.3%= 0.103

So you would do 0.103 times 853.93=87.95479 round that to 2 Dp. You get 87.95

7 0
3 years ago
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