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shepuryov [24]
3 years ago
11

Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1.

Look for a relationship between the unknowns given in the problem. Write an equation. (Look for the other relationship given in the problem.) Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 35 inches.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Let's just choose "x" as our variable for the length of a side of the triangle.

Two sides of a triangle are equal in length and double the length of the shortest side.

A triangle has 3 sides. Make the smallest side x then the two equal sides that are double the smallest side are both equal to 2x

The perimeter of the triangle is 35 inches. Perimeter is the sum of all sides.

x + 2x + 2x = 35

5x = 35

x = 7

So the smallest side is 7, and the other two sides are 14.

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, list the first five terms of each sequence, and identify them as arithmetic or geometric.
Natali [406]

Answer:

Step-by-step explanation:

A_{n+1}=14*A_{n}

A_{1}=8

A_{1+1}=14×8=112

A_{2}=112

A_{3}=14*A_{2}=14×112=1568

A_{4}=14*A_{3}=14×1568=21952

A_{5}=14*A_{4}=14×21952=307328

7 0
3 years ago
PLZZZZZZZZZZZZ HELP THIS DUE RIGHT NOW AND I CAN'T FAIL MATH PLZZZZZZZZ
sattari [20]
The sum is 45577788999000866;33sorry
6 0
3 years ago
Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relat
Neko [114]

Answer:

Wilson is 6 older than mary

w=6+m

wilson is 10 less than 5 times mary

w=-10+5m

w=5m-10

so now we set them eqal to each other since both equal w

m+6=w=5m-10

m+6=5m-10

minus m both sides

6=4m-10

add 10 to both sides

16=4m

divide both sides by 4

4=m

sub back

w=m+6

w=4+6

w=10

wilson=10

mary=4

the correct method is math

3 0
3 years ago
Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P "
12345 [234]

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is W = [a b c]

\therefore

relation: WT =W

\to 0.5a+0.3b+0.2c=a ..................(1)\\\\  \to  0.4a+0.4b+0.3c=b..............(2)\\\\  \to  0.1a+0.3b+0.5c=c.................(3)

solving the value:

a=0.3387 \\\\ b=0.3710\\\\ c=0.2903

Therefore the stationary distribution \pi =[0.3387 \ 0.3710\  0.2903]

For point b:

\pi will be limiting distribution if \pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1

\pi satisfies the above condition so, it is limiting the distribution.

3 0
2 years ago
Make w subject of formula<br> C=(4+w)/(w+3)
grin007 [14]

Answer:

Step by Step Solution

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

c-((4+w)/(w+3))=0

STEP

1

:

4 + w

Simplify —————

w + 3

Equation at the end of step

1

:

(w + 4)

c - ——————— = 0

w + 3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using (w+3) as the denominator :

c c • (w + 3)

c = — = ———————————

1 (w + 3)

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

c • (w+3) - ((w+4)) cw + 3c - w - 4

——————————————————— = ———————————————

1 • (w+3) 1 • (w + 3)

Equation at the end of step

2

:

cw + 3c - w - 4

——————————————— = 0

w + 3

STEP

3

:

When a fraction equals zero :

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

cw+3c-w-4

————————— • w+3 = 0 • w+3

(w+3)

Now, on the left hand side, the w+3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

cw+3c-w-4 = 0

Solving a Single Variable Equation:

3.2 Solve cw+3cw-4 = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.

6 0
2 years ago
Read 2 more answers
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