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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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1. The diagonal of a quadrilateral
zalisa [80]

Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.

Given:

Length of the diagonal of a quadrilateral = 8.5 cm

Lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are 3.5 cm and 4.5 cm.

To find:

The area of the quadrilateral.

Solution:

Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are heights of those triangles.

According to the question,

Triangle 1 :  Base = 8.5 cm and Height = 3.5 cm

Triangle 2 :  Base = 8.5 cm and Height = 4.5 cm

Area of a triangle is

Area=\dfrac{1}{2}\times base \times height

Using this formula, we get

Area(\Delta 1)=\dfrac{1}{2}\times 8.5\times 3.5

Area(\Delta 1)=14.875

and

Area(\Delta 2)=\dfrac{1}{2}\times 8.5\times 4.5

Area(\Delta 2)=19.125

Now, area of the quadrilateral is

Area=Area(\Delta 1)+Area(\Delta 2)

Area=14.875+19.125

Area=34

Therefore, the area of the quadrilateral is 34 cm².

6 0
2 years ago
You have a friendship club. there are 12 members in your club. The 12th day of each month, you have a friendship call. Each memb
aleksklad [387]
That day they will have 132 conversations. There are 12 members and each one will be calling the remaining 11 members of the club which means each one will make 11 calls and that will be done by 12 members so 11x12= 132 conversations in total

12 months= 1 year
Every month they make 132 calls so 132x12 will be 1,584 calls per year.

If the club decides to add four new members to the club the conversations each month will rise up to 240.

If the other club likes the idea they can use the following equation
(x-1)(x)
X represents the number of members of the group the subtraction of 1 is when a member makes a call not including them selves so there are 12 members but the one making the call isn't included so there are 11 calls being made then being multiplied by the total number of members.

(x-1)(x)
(12-1)(12)
11(12)
132
5 0
2 years ago
Can i get some help with this pls
qwelly [4]

Answer:

-16

Step-by-step explanation:

it's right I promise

4 0
2 years ago
Read 2 more answers
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Andre45 [30]

Answer:

A : 4x+5x=180

Step-by-step explanation:

They form a linear pair which equals 180.

7 0
2 years ago
Round 363 to the nearest ten
Levart [38]
363 rounded to the nearest ten would be 360
3 0
2 years ago
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