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Hoochie [10]
3 years ago
7

Find the area of the following shape:

Mathematics
2 answers:
suter [353]3 years ago
8 0

Answer:

36 cm squared

Step-by-step explanation:

To solve this problem, I first construct a line. (shown in yellow in the first photo)

I then find the area of the top rectangle. (6 cm * 4 cm = 24 cm squared.)

Next, I find the area of the lower rectangle. But...to do that I have to find the length of the line that I constructed. To do this, I do  6cm-2cm=4cm.

Then I can find the area of the lower rectangle. (4cm*3cm=12cm squared.)

add up the area of both of the rectangles and.........12+24=36 cm squared

zalisa [80]3 years ago
4 0

Answer:

36cm^2

Step-by-step explanation:

total area: 6x(4+3)=42

total area excluding the space: 42-(2x3)=36

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Find constants b and c in the polynomial p (x )equals x squared plus bx plus cp(x)=x2+bx+c such that ModifyingBelow lim With x r
andrezito [222]

Answer:

b=2

c=-24.01

Step-by-step explanation:

If I understood your question right you need to find the constants b and c in the polynomial:

p(x)=x^2+bx+c

such that:

\lim_{x\to4} \frac{x^2+bx+c}{x-4}

In order to get a system of two equations you can find limes when x goes to 4 from the right side or from the left side.

I solved this using a number that is close to 4. When it goes from right I used 4.1 and from left 3.9. This way you get two equations:

16.81+4.1b+c=1\\15.21+3.9b+c=-1

When you solve the system you get the answers above.

5 0
3 years ago
I need help to graph the points please! And i know you saw this
Licemer1 [7]
<h3>Answer: See the diagram below</h3>

=====================================

Explanation:

Start at "2" on the number line. If you move to the right 6 steps, each time landing on a tickmark, then you'll arrive at "3" on the number line. This means the interval from 2 to 3 is cut into 6 equal pieces.

In other words, the little tickmarks represent 1/6 of a unit

If we go back to "2" on the number line, and move to the first tickmark, then we arrive at 2 & 1/6. Then the next tickmark would be 2 & 2/6, and so on.

Note how 2/6 = 1/3

So the mixed number 2 & 2/6 = 2 & 1/3

The location of 2 & 1/3 is marked in red in the diagram below.

--------------------------------

The mixed number 1 & 5/6 will be plotted a similar way.

Start at "1" on the number line. Count out 5 spaces until you arrive at 1 & 5/6. This is marked in blue in the same diagram. A shorter way is to start at "2" and count backward 1 tickmark. This works because the "2" is really 1 & 6/6. Going backward one tickmark has that "6/6" bump down to "5/6".

3 0
3 years ago
$1100 at 8%, for 15 years, compounded annually.
ololo11 [35]

Answer:

$3489.39

Step-by-step explanation:

This question is an example of compound interest. To work this out you would first have to convert the percentage of 8% into a decimal. To do this you would divide the percentage of 8 by 100, which gives you 0.08. You would divide the percentage by 100 as percentages of a whole amount are out of 100.

The next step is to add 1 to 0.08, which gives you 1.08. This is because the question is asking to increase the amount by 8% and that as 1 is the whole amount, this means that 1.08 is 8% more than the whole amount.

Then to work out how much there will be after 15 years you would multiply the amount of 1100 by 1.08 to the power of 15, which gives you 3489.39. This is because to work out 8% would only work it out for one year however for compound interest you would need to work out 8% extra and then the next year work out the 8% of the new total.

1) Divide 8 by 100.

8/100=0.08

2) Add 1 to 0.08.

1+0.08=1.08

3) Multiply 1100 by 1.08 to the power of 15.

1100*1.08^{15} =3489.39

3 0
3 years ago
Ten students share 8 pieces of poster board equally. What fracyion pf a poece of poster board does each student get?
andrew11 [14]
When 1 is divided into 8 pieces, each piece is 1/8 of the whole.
3 0
4 years ago
0.94<br> x0.86 does eny one no it ahhh do in 300h pleas help
iragen [17]
The answer is 0.8084.

Hope this helped!
7 0
3 years ago
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