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denpristay [2]
3 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]3 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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What are the angle measures of X and Z?
anyanavicka [17]

Answer:

m∠Z=146

m∠X=34

Step-by-step explanation:

Since this is an Isosceles Trapezoid, we can assume that m∠Z=m∠Y, because an isosceles trapezoid has two pairs of congruent angles, therefore m∠Z=146.

Since angle Y and Angle X are same side interior and line ZY║WX, we can assume that m∠X+m∠Y=180. Substitute values:

146+X=180\\Y=34

6 0
2 years ago
Find the value of x for which allb <br> A. 35<br> B. 145<br> C. 140<br> D. 47
Paha777 [63]

Answer:

A. 35

Step-by-step explanation:

a || b .....(given)

line c is their transversal.

-> x° + (3x + 40)° = 180° (Interior angles on the same side of transversal)

-> (3x + 40 + x)° = 180°

-> (4x + 40)° = 180°

-> 4x + 40 = 180

-> 4x = 180 - 40

-> 4x = 140

-> x = 140/4

-> x = 35

7 0
2 years ago
The number. Find the nume.
aliya0001 [1]

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Step-by-step explanation: Combine like terms.

11x=12x+9

Subtract 12x from the other side. 11x-12x= -1x

-1x+9

Divide by -1 to isolate x.

-1/-1 cancels out.

9/-1= -9

x=-9

Plug in -9 to check your answer if you want to double check.

3 0
3 years ago
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balu736 [363]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

4 0
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