The figure is made up of a square and a rectangle. Find the area of the shaded region.
The figure is made up of a square and a - 1

Answers

Answer 1
Answer: trianglearea =1/2bh

small one
base=4
heigh=2
ara=1/2*2*4=4

the other one
flip 90 degrees clockwise
base=2
height=6
aera=1/2*2*6=6

add
4+6=10
total is 10m^2

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What is the coefficient of the fifth term in (a+b)^9

Answers

Answer:

The coefficient of the fifth term is 126.

Step-by-step explanation:

The question implies that after the expansion of (a+b)^(9), what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.

Thus,

(a+b)^(9) = a^(9) + 9a^(8)b + 36a^(7) b^(2) + 84a^(6)b^(3) + 126a^(5)b^(4) + 126a^(4) b^(5) + 84a^(3) b^(6) + 36a^(2) b^(7) + 9ab^(8) + b^(9)

So, from this expansion, the fifth term is 126a^(5)b^(4). And its coefficient is 126.

Answer:

If you expand this using pascals triangle you will see that the fifth term is 126a^5b^4

the coefficient is the number 126

1.work out 1/2 + 5/62.work out 3/4 x 2/7

Please help, I have never been able to work these out although there so simple .-.

Answers

1.  First find the LCD of the two fractions.
They share the denominator 6.
Turn 1/2 into a fraction with a denominator of 6.
2*3=6,  so 1*3=3
3/6
Now add.
Leave denominators alone,  but add numerators.
3+5=8
8/6
Now simplify.
Divide both by 2.
8/2=4
6/2=3
4/3 is your answer or 1 1/3
2.  Multiply straight across.
3*2=6
4*7=28
6/28
Simplify
You get 3/14 as your answer.

The lowest elevation in the world is in the Dead Sea at 413 feet below sea level. The highest elevation in the world is Mount Everest at 29,035 feet above sea level. Which integer BEST represents the elevation of the Dead Sea?

Answers

I think that -413 is the best answer
What is elevation?                                                    ...

Which of the following is a soultion to the quadratic equation below x^2 - 3x - 54 =0

Answers

Answer:

9 or -6

Step-by-step explanation:

To solve, I would suggest factoring.

You need to find two numbers which can be multiplied for 54 and also combined in some way to get 3. In this case, 9 and 6 are perfect.

x^2-3x-54=0\n(x-9)(x+6)=0

Next, you can set both of your terms equal to zero to find your possible solutions.

x-9=0\nx=9\n

or

x+6=0\nx=-6

Identify the two-dimensional shape of the cross-section if the cube shown is sliced horizontally.

Answers

Sadly, the cube you promised us is not shown.

IF the cube is resting on the table in the normal way ... with
two of its faces horizontal and the other four faces vertical,
then any horizontal or vertical slice is a square.

You know what's fun ?  Try doing this problem with cubes of
chocolate cake, and after you make slices, look at them and
then eat them.
Your question cannot be answered here because the cube has to be shown online... but the most common answer to this would be a rectangle... 

How do you write a ratio as a percent

Answers

A ratio is pretty much a fraction

Divide the numerator and denominator. You may or may not get a decimal. Move the decimal point over too the right two place values. You will then get a percentage. If it is a whole number, add two zeros behind and you'll get your percentage.

For example: 

10:2 is my ratio

10:2 is the same as 10/2 = 5

5 is the same as 5.00

move the decimal point to the right two place values

5.00 = 500%


hope this helps
To write a fraction as a percent, we can convert it to an equivalent fraction with a denominator of 100. Another way to write a fraction as a percent is to divide its numerator by its denominator, then convert the resulting decimal to a percent.