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ale4655 [162]
3 years ago
14

How to solve for y.

Mathematics
1 answer:
NARA [144]3 years ago
7 0
25, 65, and y make a right triangle. use a^2 + b^2 =c^2. 
so...
y^2 + 25^2 = 65^2
y^2 + 625 = 4225 
y^2 = 3600 take the square root of both sides 
y=60 
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Three forces act on a hook. Determine the magnitude of the resultant of the force.
Novay_Z [31]

Use Hooke's law... (just kidding)

Break down each force vector into horizontal and vertical components.

\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y

\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y

\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y

The resultant force is the sum of these vectors,

\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y

and has magnitude

|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N

The closest answer is D.

5 0
3 years ago
A 100 serving of lasagna divided by 30 people
Misha Larkins [42]

Answer: 0.3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write the number 45.78 trillion in scientific notation.
beks73 [17]
Without scientific notation<span> it would look like 4 000 000 000 000 </span>
<span>The decimal place must be moved 12 units to the left to be after a significant figure, thus giving the scientific notation to the power of 12. The significant figure is 4 so you get the equation </span><span>4.0⋅<span>1012</span></span>.
<span>

</span>
4 0
3 years ago
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has d
Alinara [238K]

Answer:

Read step by step explanation

Step-by-step explanation:

The owner already knows that the limit for the average time delivered pizzas is 38 minutes. So we conclude

1.-The resulting mean from sample data ( x ) ( 27 customers) need to be smaller than 38 minutes, any value of sample above 38 minutes means more time for the delivery action and will indicate a failure for the future project

2.-As sample size is smaller than 30 the test has to be  t-student one tail test to the left

Test hypothesis

Null hypothesis                       H₀                  x  = 38

Alternative hypothesis           Hₐ                  x  <  38

We should test at a significance level α  = 0,05       (α = 5%)

If the result of the test is to accept  H₀  delivery project won´t be implemented, if on the other hand, H₀ is rejected then in the condition of the alternative hypothesis we accept Hₐ the sample indicates that we have a smaller average time than 38 minutes.

4 0
3 years ago
Angle 4 above has a measurement of 160 degrees. Angle 1 has a label
Elena-2011 [213]

Answer: A

Step-by-step explanation:

5 0
2 years ago
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