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salantis [7]
2 years ago
12

Hey, I do not want the answer but could someone please explain to me on HOW to find the area of this figure? I forget how to :P

Mathematics
1 answer:
Korolek [52]2 years ago
8 0
In order to find the area of this figure, you will need to separate the individual figures and find their areas, then add the total for the entire area.

The square part should be easy, it's only base * height. In this case, the base is 6 and the height is 5. You don't want the answer so that's the farthest I'll go with that =)

Then, there are the triangles.
Right triangles are easy to find area of in that they are simply a rectangle split diagonally, so the area of a triangle is simply base * height over 2, and since the triangles are the same measure, the base would be half the base of the square, which is 3. The height is 2.

Don't forget that there are two triangles, though, so a shortcut in this problem would be to solve one triangle for base * height and then leave off the divide by two step, since there are two triangles that have the same area, and so you would end up just multiplying by 2 in the end, thereby cancelling out the divide by 2 step entirely.

Hope that helped! =)
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Given z1 = 1+i and z2 = 2+3i.
Margaret [11]

Answer:

(a) w=2+5i-6=-4+5i

Multiplicative inverse of w will be \frac{1}{-4+5i}

(B) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

Step-by-step explanation:

We have given two complex numbers

z_1=1+i and z_2=3+2i

(a) First we have to find w=z_1z_2

So w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2

As we know that i^2=-1

So w=2+5i-6=-4+5i

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be \frac{1}{-4+5i}

Because when we multiply -4+5i with \frac{1}{-4+5i} it gives result as 1

(b) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

4 0
3 years ago
31. Each day, Talisa exercises by first
GaryK [48]

Answer:

Step-by-step explanation:

Given the following :

Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9

Total time - - - 25 - - 28 - - 29 - - 30 - - 32

Using online graphing tool:

The y - axis named dependent variable represents the total time taken.

The x-axis, represents the number of laps.

The equation of the trend line attached to the plot is in the form :

y = mx + c

y = 1.6x + 17.6

Where y = total time taken

x = number of laps

m = 1.6 = gradient of the line (change in y / change in x)

C = 17.6 = intercept (whee the trndline intersects the y-axis).

5 0
3 years ago
Write the rate as a unit rate: 64 miles in 4 hours
suter [353]

Answer:

The answer is 16

Step-by-step explanation:

You only have to divide 64/4

4 0
3 years ago
What is 12/20 simplified as much as can be
k0ka [10]
3/5 is 12/20 simplified. :)

1. Find the greatest common factor of 12 and 20 which is 4.
2. Divide 12 by 4 and 20 by 4.
3. 12/4=3 and 20/4=5
4. 3/5!
7 0
3 years ago
Read 2 more answers
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account he
Sergio039 [100]

Answer:

The percent of interest is 12.3% per year

Step-by-step explanation:

According to the question Elwood invested 5000 $ in market account

The market account gives the compound interest annually

let p be the interest per year then

At the end of 1st year

amount =(1+0.p) x 5000  = 1.p x 5000

similarly at the end of 2nd year

amount =(1+0.p) x(1+0.p)x 5000  = (1.p)^{2} x 5000

similarly at the end of 3rd year

amount = 7100 $ = (1.p)^3 x 5000

⇒ \frac{71}{50} = (1.p)^3  

1.392 =  (1.p)^3

on further solving we get

1.p = (1.42)^{1/3} = 1.123

thus 1.p = 1 + 0.p = 1.123

thus p = 0.123

thus the percent of interest is 12.3% per year

6 0
3 years ago
Read 2 more answers
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