It’s easy please help please please

Each pair of figures below is similar. Find the lengths of all unknown sides

lions [1.4K]

Answer:

a) w = 8; y = 5.25

b) x = 10; z = 7.2

Step-by-step explanation:

a) Dimensions on the smaller figure are FA/F'A' = 3/4 times those on the larger figure.

6 = (3/4)w

w = 24/3 = 8

y = (3/4)·7 = 21/4 = 5.25

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b) Dimensions on the smaller figure are ER/E'R' = 9/15 = 3/5 times those on the larger figure.

6 = (3/5)x

x = 30/3 = 10

z = (3/5)12 = 36/5 = 7.2

7 0

3 years ago

7) PG & 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.

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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.

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<h3>Answer: 495</h3>

5 0

2 years ago

3t + 7 = 2 +5t , then find the value of t.

n200080 [17]

Answer:

t = 5/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3t + 7 = 2 + 5t

<u>Step 2: Solve for </u><u><em>t</em></u>

[Subtraction Property of Equality] Isolate <em>t</em> terms: 7 = 2 + 2t
[Subtraction Property of Equality] Isolate <em>t</em> term: 5 = 2t
[Division Property of Equality] Isolate <em>t</em>: 5/2 = t
Rewrite: t = 5/2

6 0

3 years ago

Read 2 more answers

Neil says his favorite number is 19 units from Sasha's favorite number on the number line. What are the two possibilities for Ne

Ivahew [28]

His favorite number could be either 0 or 38.

8 0

3 years ago

Read 2 more answers

Short answer question :)

alisha [4.7K]

No because the lines are not connecting. The definition of a function is a relationship involving one or more variables. This can't be a function because their is only one variable.

3 0

3 years ago