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shtirl [24]
4 years ago
12

Can someone help me please

Mathematics
1 answer:
Anastaziya [24]4 years ago
7 0

The first step to solve this problem is to compute first for the area of the bigger rectangle:

A = LW

A = 12m (10m)

A = 120 m^2

Next step is to find the area of the smaller rectangle:

A = LW

A = 7m (2m)

A = 14 m^2

The last step is to deduct the area of the smaller rectangle to the area of the larger rectangle:

Area of larger rectangle – Area of the smaller rectangle = Area of the shaded region

120 m^2 – 14 m^2 = 106 m^2

Therefore, the area of the shaded region is 106 square meters.

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Graph the solution set of: 2x - 4 ≤ 8 and x + 5 ≥ 7​
Alex17521 [72]

Answer:

x ≤ 6 and x ≥ 2

Step-by-step explanation:

For now, we will start with doing each problem at a time. Here is your equation:

2x - 4 ≤ 8

First, you want to get the variable by itself. So, you add 4 to both sides. It will look like this:

2x - 4 ≤ 8

+ 4 + 4

The four being added on the left side cancels out, and you add 4 to 8. Now, it should look like this:

2x ≤ 12

Next, you want the x by itself. So, you would divide both sides by 2.

2x ≤ 12

/2 /2

2 divided by 2 cancels out, and 12 divided by 2 equals 6. Now, you have a final answer of:

x ≤ 6

But, you now have to do the other one!

Here is what you start off with:

x + 5 ≥ 7

First, you want the variable side by itself. So, you subtract 5 from both sides.

x + 5 ≥ 7

- 5 -5

Now, you have this:

x ≥ 2

Because the variable is already by itself, you don't need to do any more division and this is you final answer. Now put both answers you got together which equals:

x ≤ 6 and x ≥ 2

8 0
3 years ago
Read 2 more answers
A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh
xxMikexx [17]

Answer:

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Step-by-step explanation:

The solution to the differential equation is the exponential function ...

  A(t) = 5000e^(0.0225t)

We want the account value after 10 years:

  A(10) = 5000e^(0.225) = 6261.61

The value of the account after 10 years will be $6,261.61.

_____

The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).

Or, you can solve the differential equation using separation of variables:

  dA/A = 0.0225dt

  ln(A) = 0.0225t +C . . . . integrate

  A(t) = A0·e^(0.0225t) = 5000·e^(0.0225t) . . . . solution for A(0) = 5000

7 0
3 years ago
Joel is selling a motorcycle for $2,535. He bought the
Gala2k [10]

Answer:

Making money

Step-by-step explanation:

selling motorcycle for 2,535

After 2 years the motorcycle is worth:

y = 4721(0.65)^2

= 1994.6

2535> 1994.6

3 0
2 years ago
The complex solutions of which equation have a real component of 4?
Naddik [55]

Answer:

the answer is B do you need me to show work?

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A diver is 5 feet above the surface of a pool. If his position can be recorded as 5 feet, what would the position of 0 represent
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On the surface of the pool
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