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S_A_V [24]
3 years ago
7

30 POINTS!!!!!!!

Mathematics
1 answer:
Crank3 years ago
5 0
You need to add the area of a rectangle which is 99 by 72, and the area of a circle with a diameter of 72
99 * 72 = 7128
3.14 * (72/2)^2
3.14 * 36^2
3.14 * 1296
4069.44
7128 + 4069.44 = 11197.44
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Which of the following means greater than or equal to?
Arada [10]

Answer:

at least

Step-by-step explanation:

i don't know how to fully explain it, but by saying "atleast x" you're saying the minimum value it can be will be x. Maximum means it will not exceed that number, along with "not greater than" and "at most"

6 0
2 years ago
A small plane took 3 hours to fly 960 km from Ottawa to Halifax with a tail wind. On the return trip, flying into the wind, the
Rina8888 [55]

Answer:

  • Wind speed: \rm 40\; km \cdot h^{-1}.
  • Speed of the plane in still air: \rm 320\; km \cdot h^{-1}.

Step-by-step explanation:

This problem involves two unknowns:

  • wind speed, and
  • speed of the plane in still air.

Let the speed of the wind be x \rm \; km \cdot h^{-1}, and the speed of the plane in still air be y\rm \; km \cdot h^{-1}. It takes at least two equations to find the exact solutions to a system of two variables.

Information in this question gives two equations:

  • It takes the plane three hours to travel \rm 960\; km from Ottawa to with a tail wind (that is: at a ground speed of x + y.)
  • It takes the plane four hours to travel \rm 960\; km from Halifax back to Ottawa while flying into the wind (that is: at a ground speed of -x + y.)

Create a two-by-two system out of these two equations:

\left\{ \begin{aligned}&3(x + y) = 960 && (1) \\ &4(-x + y) = 960 && (2) \end{aligned}\right..

There can be many ways to solve this system. The approach below avoids multiplying large numbers as much as possible.

Note that this system is equivalent to

\left\{ \begin{aligned}&4 \times 3 (x + y) = 4\times960 && 4 \times (1) \\ &3\times 4(-x + y) = 3\times 960 && 3 \times (2) \end{aligned}\right..

\left\{ \begin{aligned}&12 x + 12y = 4\times960 && 4 \times (1) \\ &- 12x + 12y = 3\times 960 && 3 \times (2) \end{aligned}\right..

Either adding or subtracting the two equations will eliminate one of the variables. However, subtracting them gives only 1 \times 960 on the right-hand side. In comparison, adding them will give 7 \times 960, which is much more complex to evaluate. Subtracting the second equation (3 \times (2)) from the first (4 \times (1)) will give the equation

(12 - (-12) x = 1 \times 960.

24 x = 960.

x = 40.

Substitute x back into either equation (1) or (2) of the original system. Solve for y to obtain y = 320.

In other words,

  • Wind speed: \rm 40\; km \cdot h^{-1}.
  • Speed of the plane in still air: \rm 320\; km \cdot h^{-1}.
3 0
3 years ago
Read 2 more answers
If the expression x - 3 has a value of -5, then what value represents the expression <br> 3x - 9?
ddd [48]
3(-2) -9
-6-9
-15

-15 Is the value that represents the last expression
8 0
3 years ago
Is y=5 a linear function.
Sliva [168]

Answer:

Yes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Joseph is weaving a ceremonial Native American sash the sauce will be 8 feet long when it is completed Joseph wants to add a dia
Rama09 [41]

Answer:  The sash will have 20 diamonds when it is completed.


Step-by-step explanation:

Given: The length of American sash= 8 feet

Since, Joseph wants to add a diamond shape every 0.4 ft along the sash.

Therefore, the number of diamonds he will need to complete the sash= \frac{8}{0.4}

⇒ The number of diamonds he will need to complete the sash= \frac{80}{4}=20

Hence,  the number of diamonds he will need to complete the sash= 20


3 0
3 years ago
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