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denpristay [2]
2 years ago
11

A heavy piece of equipment has wheels on one side and legs on the other as shown in the diagram below.

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
6 0

9514 1404 393

Answer:

  • horizontal: 390 N
  • vertical: 590 N
  • 707.2∠56.5° N

Step-by-step explanation:

The problem statement tells you the two horizontal forces are 185 N and 205 N. The total horizontal force is (185 +205) N = 390 N.

The vertical forces are said to be 300 N and 290 N. The total vertical force is (300 +290) N = 590 N.

The magnitude of the resultant is the root of the sum of the squares:

  √(390² +590²) = √(152100 +348100) = √500200 ≈ 707.248

The angle of the resultant (relative to the horizontal) is ...

  α = arctan(vertical/horizontal) = arctan(590/390) ≈56.53°

The resultant force is about 707.2 N at an angle of 56.5° above the horizontal.

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Mkey [24]

The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The function f(x) = 5x² + 40x

Then add and subtract 80, then we have

f(x) = 5x² + 40x + 80 – 80

f(x) = 5(x² + 8x + 16) – 80

f(x) = 5(x + 4)² – 80

The vertex of the parabola will be at (–4, –80).

More about the parabola link is given below.

brainly.com/question/8495504

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3 years ago
A salesperson's weekly paycheck is 10% more than a second salesperson's paycheck. The two paychecks total $1075. Find the amount
Ksivusya [100]
Originally without the 10% extra, both have 100%. since the question stated that the first salesperson have 10% more, the percentage of his paycheck will be a total of 110%. on the other hand, the second salesperson will have only 100%. the question then stated that when both oaychecks are added together, it will give a total of $1075.

110% + 100% represents $1075
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so now you need to find what is 1 %
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the first salesperson have 110%, so you
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round off to the nearest cent so it will become $563.10
the first salesperson paycheck is $563.10

the second salesperson paycheck 100%. so you....
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3 years ago
John is twice as old as Fred. Four years ago John was 6 times as old. How old is John?
kari74 [83]

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7 0
3 years ago
Read 2 more answers
7176 rounded to 1 significant figure
kati45 [8]

Answer:

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Step-by-step explanation:

8 0
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