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Feliz [49]
2 years ago
6

Help me with this problem

Mathematics
1 answer:
nata0808 [166]2 years ago
6 0
The area of the rectangle is 80 square centimeters, and the area of the trapezoid is 34 square centimeters, so the area of the composite figure is 114 square centimeters. Hope it help!
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Solve for x (13x + 2) (5x - 7) (3x - 4)<br><br><br> Thank you
Law Incorporation [45]

\huge \bf༆ Answer ༄

As we know, sum of interior angles of a triangle is 180°

that is ~

  • \sf13x + 2 + 5x - 7 + 3x - 4 = 180

  • \sf21x  - 9 = 180

  • \sf21x = 180 + 9

  • \sf x =  \dfrac{189}{21}

  • \sf x = 9 \degree

Hence, value of x is 9°

5 0
2 years ago
Read 2 more answers
7) PG &amp; E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many
BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

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

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

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

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

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

<h3>Answer: 495</h3>
5 0
2 years ago
-5y - 6bStep 1 of 2: Identify the first term of the algebraic expression. Indicate whether theterm is a variable term or a const
ira [324]

Answer:

a. Variable term

b. Variable term

Explanation:

a) We were given the algebraic expression:

-5y-6b

The first term of the algebraic expression is:

-5y

The first term is a variable term

The variable is "y" and its coefficient is "-5"

b) We were given the algebraic expression:

-5y-6b

The second term of the algebraic expression is:

-6b

The second term is a variable term

The variable is "b" and the coefficient is "-6"

6 0
1 year ago
A basketball player guesses her team will score 57 points during the game. The player's team actually scores 63 points. What is
Sergeeva-Olga [200]

I might be wrong, but i believe the answer is 9.5

6 0
2 years ago
Read 2 more answers
327.8 in scientific notation
Allushta [10]

Answer:

3.278 * 10 ^ 2

Step-by-step explanation:

To change a number to scientific notation you:

Move the decimal point to the left to make the number have 1 number before the decimal point.

From there you multiply by 10 to the power 2 the number of decimal points you moved.

So the answer is 3.278 * 10^2

HOPE IT HELPED

5 0
2 years ago
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