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jonny [76]
3 years ago
5

Assume that all intersecting sides meet at right angles.

Mathematics
1 answer:
algol133 years ago
8 0

The value of X assuming that all intersecting sides meet at right angles is 5 yards

The given shape is made up of two rectangles. From the shape, we can deduce that:

15 = 10 + X

Next is to get the unknown value of X

Subtract 10 from both sides

15 - 10 = 10 + X - 10

15 - 10 = X

5 = X

Swap

X = 5yards

Hence the value of X assuming that all intersecting sides meet at right angles is 5 yards

Learn more here: brainly.com/question/21683487

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Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. List the elements of
Levart [38]

Answer:

HHH, W = 3-0 = 3

HHT, W= 2-1=1

HTH, W= 2-1=1

THH, W=2-1 =1

HTT, W= 1-2=-1

THT, W= 1-2=-1

TTH, W=1-2=-1

TTT, W=0-3 = -3

So then the sample space for W is:

S= [-3,-1,1,3]

Just 4 possible values from 8 possible combinations for the 3 random tosses

Step-by-step explanation:

For this case we define W as the random variable who represent the number of heads minus the number of tails in three tosses of a coin.

W= # heads- # coins

Since we toss a coin 3 times we have 2*2*2= 8 possible results. We can list the results and the corresponding values for W like this:

HHH, W = 3-0 = 3

HHT, W= 2-1=1

HTH, W= 2-1=1

THH, W=2-1 =1

HTT, W= 1-2=-1

THT, W= 1-2=-1

TTH, W=1-2=-1

TTT, W=0-3 = -3

So then the sample space for W is:

S= [-3,-1,1,3]

Just 4 possible values from 8 possible combinations for the 3 random tosses

8 0
3 years ago
A farmer owns a 100 acre farm and plans to plant at most three crops. The seed for crops A,B, and C costs $40, $20, and $30 per
aev [14]

Answer:

The number of acre per crop for maximum profit is;

Crop A = 0 acres

Crop B = 60 acres

Crop C = 40 acres

Profit, P = $26,000

Step-by-step explanation:

We plant A in X acres

B in Y acres and

C in Z acres

Therefore, X + Y + Z ≤ 100

we work A for 1·X workdays

B for 2·Y workdays and

C for 1·Z workdays

Where X + 2·Y + Z ≤ 160

$40·X for crop A

$20·Y for crop B and

$30·Z for crop C is spent whereby

$40·X + $20·Y + $30·Z ≤ $3200

The farmer makes

$100·X from crop A

$300·Y from crop B and

$200·Z from crop C

P = $100·X + $300·Y + $200·Z

Therefore, we have three equations with three unknowns solving the equations simultaneously, we have

X + Y + Z = 100....................................................(1)

X + 2·Y + Z = 160.................................................(2)

$40·X + $20·Y + $30·Z = $3200....................(3)

By subtracting equation (1) from (2) gives Y = 60 acres

Multiplying equation (1) by 40 and subtracting from (3) we  have Z = -40

and therefore, Y = 80

If he plants only B the farmer has 2 work day per acre and since there is a max of 160 days, he can only plant on 80 acres, therefore, total profit = $300 × 80 = $24,000

Comparing the profit per acre to the seed cost we have Profit for seed A = $100 while cost = $40 per acre,

If we remove seed A we have

Y + Z = 100....................................................(4)

2·Y + Z = 160.................................................(5)

$40·X + $20·Y + $30·Z = $3200....................(3)

Solving equation (4) and (5), we have Y = 60 acres and Z = 40 acres

Therefore, the profit becomes

$300 × 60 + $200 × 40 = $26,000.

3 0
3 years ago
3/13 as a long division and decimal show work
motikmotik
You most likely only need the first 3 digits after the decimal point but if you needed more i added them! hope this helps

4 0
2 years ago
Read 2 more answers
What are the domain and range of this relation? 5 4 2 1 -5-4-3-2-10
marishachu [46]

The domain in a relation y(x) is the set of values for which the relation is defined (the values on x, where y is defined)

In this relation the values wich the relation is defined is: the coordinates of x where there are a point:

Domain: -1, 0, 3

The range in a relation y(x) is the set of all the values that y(x) takes (the values of y)

In this relation the values that takes y(x) are the coordinates of y where there are a point:

Range: -3, -1, 0

8 0
1 year ago
What is the area of this trapozoid. .... You dont times everything together.
julsineya [31]

Answer:

The answer is 24

Step-by-step explanation:

Because you add all of the numbers up and you get 24.

8 0
3 years ago
Read 2 more answers
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