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MatroZZZ [7]
3 years ago
5

If an 8-foot ladder is placed 3 feet from the wall, what is the approximate height it will reach on the wall? 7 feet 5 feet 11 f

eet
Mathematics
2 answers:
mestny [16]3 years ago
7 0
7 feet is the answer
fgiga [73]3 years ago
7 0
The figure forms a right angled triangle, with hypotenuse = 8, distance from the wall = 3, let the height be x.

x² + 3² = 8²

x² + 9 = 64

x² = 64 -9

x² = 55

x = √55

x ≈ 7.42 feet.

So it is ≈ 7 feet.
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The remainder when p\left(x\right)=x^3-2x^2+8x+kp ( x ) = x 3 − 2 x 2 + 8 x + k by (x-2) is 19. What is the remainder when p(x)
Dafna11 [192]

Answer:

Remainder when p(x) is divided by (x+2) is -29

Step-by-step explanation:

p(x) = x^{3} - 2x^{2} + 8x + k

When p(x) is divided by (x-2), remainder is 19.

p(x - 2 = 0)  gives the remainder when p(x) is divided by (x-2)

x - 2 = 0

x = 2

p(x-2=0) = p(2) = 2^{3} - 2(2^{2}) + 8(2) + k = 19

8 - 8 + 16 + k = 19

k = 3

p(x) = x^{3} - 2x^{2} + 8x + 3

p(x + 2 = 0)  gives the remainder when p(x) is divided by (x+2)

x + 2 = 0

x = -2

p(x+2=0) = p(-2) = (-2)^{3} - 2((-2)^{2}) + 8(-2) + 3

p(-2) = - 8 - 8 - 16 + 3 = -29

Remainder when p(x) is divided by (x+2) is -29

6 0
3 years ago
Read 2 more answers
Choose the most convenient method to graph the line x - y = 5.
givi [52]
The most convenient method I would choose is slope-intercept form, which is y=mx+b. So, make this equation equal in terms of y.

x-y=5
subtract x from both sides
-y = 5 - x
multiply both sides by -1 so y isn't negative
y = 5 + x
5 +x is the same thing as x+5, so
y = x+5

Now, you can easily sub in any number for x and you can easily get y. Here are some points you can plot:

(0, 5), (1, 6), (2, 7), (3, 8) and the list goes on. I hope this helped!
7 0
2 years ago
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6. Geographic Trends Janice has been offered
Scilla [17]

The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

<h3>What is the total cost?</h3>

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

S=\dfrac{100+20}{100}\times30000\\S=36000

He gets 6000 thousand extra after increment. Her annual income is,

S=36000\times12\\S=432000

Before accepting the position, Janice wants to understand her potential cost of living.

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Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,

S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190

Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

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3241004551 [841]

Answer:

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Step-by-step explanation: hope this helps

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3 years ago
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abruzzese [7]

Answer:

a) linear pair angles: 1&2, 2&3, 3&4, 1&4... etc (any angles that are adjacent, or right next, to each other that add up to be 180 degrees)

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Step-by-step explanation:

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