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dangina [55]
3 years ago
8

Farmer Jack needs 1,800 square feet of garden space to have enough corn for a year. His garden space is currently 10 5?6 feet by

18 feet. How much more land does farmer Jack need to plant the rest of his corn?
Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

1,605\ ft^{2}

Step-by-step explanation:

step 1

Find the area of the garden space

First convert mixed number to an improper fraction

10\frac{5}{6}\ ft=\frac{10*6+5}{6}=\frac{65}{6}\ ft

A=\frac{65}{6}*18=195\ ft^{2}

step 2

Find how much more land Farmer Jack needs to plant the rest of his corn

1,800\ ft^{2}-195\ ft^{2}=1,605\ ft^{2}

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Nimfa-mama [501]

Answer:

<h2>90°</h2>

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544

The module of v is:

|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544

Now we calculate the scalar product between both vectors

u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0

Finally we know that the scalar product of two vectors is equal to:

u*v = |u||v|*cos(\theta)

Where \theta is the angle between the vectors u and v. Now we solve the equation for \theta

0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°

the answer is 90°

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5 0
4 years ago
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3 years ago
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Mademuasel [1]

Answer:

The amount Martha deposited in checks is $150

The amount Martha deposited in cash is $100

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Step-by-step explanation:

Since Total deposit (T) = currency (C) + coins + check (Ck) - cash received (Csh)

T = C + Ck - Csh.  (1)

Given that cash received (Csh) = $75,coins = 0 and the checks deposited totaled $50 less than twice the currency amount. So,

Ck = 2C - $50   (2)

Also, total deposit was $25 more than the check amount. So,

T = Ck + $25  (3)

Substituting equation (2) into (1), we have

T = C + Ck - Csh

T = C + 2C - $50 - Csh

T = 3C - $50 - $75

T = 3C - $125   (4)

Substituting equation (2) into (3), we have

T = Ck + $25

T = 2C - $50  + $25

T = 2C - $25  (5)

Equating equations (4) and (5), we have

3C - $125 = 2C - $25

Collecting like terms, we have

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T = $250 - $75

T = $175

So, the amount Martha deposited in checks is $150

The amount Martha deposited in cash is $100

The total deposit is $175

5 0
3 years ago
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You need to isolate/get x by itself in the inequality:

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