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2 years ago

PLEASE SHOW WORK

Mathematics

1 answer:

Dmitrij [34]2 years ago

6 0

Answer:

Below in bold

Step.-by-step explanation:

It consists of 5 isosceles triangles of equal sides 4 cm and vertex angles 360 / 5

= 72 degrees.

Area of 1 triangle = 1/2 * 4^2 *sin 72

Area of the whole pentagon = 5 * 1/2 *4^2 * sin 72

= 38.04 cm^2.

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How do you multiply 12x12 step by step?

geniusboy [140]

Answer:

144

Step-by-step explanation:

X12

------

If you are writing this problem out by hand, be sure that your numbers are lined up, like above. This will help you in making sure that you solve each step of your problem properly.

First, start with the 12. Multiply 12 by the "2" in the one's place, in the second number:

X 2

-----

Begin by multiplying 2 X 2 first, in the "ones" column.

Do you have 2X2=4? Great! Put the 4 in the ones column, where your answer would go.

Next, multiply 2 times the 1 digit. The 1 is actually a 10, because it is in the "tens" column.

2 X10=20

Place your 2 in the "tens" column--It should look like this...

X 2

-----

Since you are finished with the "ones" place, now you will work with the tens column.

put a zero under the 4 in 24.

then continue like this

X12

-----

120 because 12 X10=120

------

144 If you add 24 +120, you should have 144.

If you have a slightly different way of doing this problem, that's OK. The point is to get the correct answer.

If you have a times table, you can check yourself.

12 X12=144

8 0

3 years ago

Read 2 more answers

7.1 is 10 times smaller than

Aleks [24]

7.1 is ten times smaller than 71

8 0

3 years ago

Read 2 more answers

Write the expression as a square of a binomial: 49x^2+12xy+64y^2

DiKsa [7]

STEP
1
:
Equation at the end of step 1

((49 • (x2)) + 12xy) + 26y2
STEP
2
:

Equation at the end of step
2
:

(72x2 + 12xy) + 26y2
STEP
3
:
Trying to factor a multi variable polynomial

3.1 Factoring 49x2 + 12xy + 64y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :
49x2 + 12xy + 64y2

5 0

3 years ago

Given the trinomial, what is the value of the coefficient 'B' in the factored form?

Zepler [3.9K]

Answer:

B=9 (I'll solve right now, just so you get the answer)

Step-by-step explanation:

$2x^2+14xy-36y^2=2(x+By)(x-2y)$

Expand right side by distributing

$(2x+2By)(x-2y)$

Use the FOIL method to simplify (first, outside, inside, last):

$(a+b)(c+d)=ac+ad+bc+bd$

$(2x*x)+(2x*(-2y))+(2By*x)+(2By*(-2y))\\\\$

Simplify

$2x^2-4xy+2Byx-4By^2$

Re-insert

$2x^2+14xy-36y^2=2x^2-4xy+2Byx-4By^2$

Cancel out $2x^2$

$14xy-36y^2=-4xy+2Byx-4By^2$

Move all terms to one side

$14xy-36y^2+4xy-2Byx+4By^2=0$

Simplify

$18xy-36y^2-2Byx+By^2=0$

Factor out the common term 2

$2(9xy-18y^2-Byx+2By^2)$

5 0

3 years ago

Christina collected information about the ages of the players on her softball team. The ages were 10, 12, 14, 13, 12, 11, 13, 12

BARSIC [14]

We are told that Christina collected information about the ages of the players on her softball team. The ages were 10, 12, 14, 13, 12, 11, 13, 12, 11, 12, 12, and 13. Christina wants to describe the players’ ages in an article for the school newspaper.

Since we know that range of a data is difference between the highest and lowest values of a data set. Range of our data set will be 4 (14-10). A group of different ages could have same range as Christina's data set. So range will be not a good option.

A measure of central tendencies will be better option to represent information about ages of softball team players. Mean will give the average age of softball players.

$\text{Mean age of players}=\frac{10+11+11+12+12+12+12+12+13+13+13+14}{12}$

$\text{Mean age of players}=\frac{145}{12}=12.0833$

Let us find median of data.

10,11,11,12,12,12,12,12,13,13,13,14

$\text{Median age of softball players}=\frac{12+12}{2}$

$\text{Median age of softball players}=\frac{24}{2}=12$

We can see that average of our data is 12 years.

Therefore, a measure of central tendency will be better choice to describe ages of softball players.

7 0

3 years ago