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DENIUS [597]
3 years ago
9

To wash a window that is 12 feet off the ground, Mason leans a 20-foot ladder against the side of the building. To reach the win

dow, how far away from the building should Mason place the base of the ladder?
Mathematics
1 answer:
daser333 [38]3 years ago
7 0

Answer:

by clumbing the ladder

Step-by-step explanation:

The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
nalin [4]

Answer:

$519

Step-by-step explanation:

Given the amount of profit made expressed as y=-2x^2+105x-859

At maximum profit, dy/dx = 0

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Substitute into the original function

y=-2x^2+105x-859

y=-2(26.25)^2+105(26.25)-859

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519

8 0
3 years ago
During a thunderstorm 600 millimeters of rain fell in 30 minuets.what is the millimeters per hour
expeople1 [14]

the answer is 1200 millimeters per hour


4 0
3 years ago
10. Complete the table below based on the following function:f(x)=-6x-1
zepelin [54]

<span>f(x)=-6x-1

</span><span> X    Y
 0    -1
 -1    5
 6    -37
 5     -31</span>
5 0
3 years ago
classify the pair of angles. (supplementary, adjacent, vertical, or complementary) then find the value of x.
earnstyle [38]

Answer:

Supplementary angles; 148°

Step-by-step explanation:

180° - 32° = 148° (supplementary angles)

8 0
3 years ago
Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?
nadezda [96]

Answer:

David gets 28 more than Dan

Step-by-step explanation:

Jim: Dan : David: total

3   :    1    :  5       : 3+1+5 = 9

Jim gets 21

21/3 = 7

Multiply each number by 7

Jim: Dan : David: total

3*7 :  1*7  :  5 *7  :  9*7

21  :   7     :  35   :  63

David has 35 and Dan has 7

35-7 = 28

David gets 28 more than Dan

8 0
4 years ago
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