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Troyanec [42]
3 years ago
5

If a force of 50 pounds is directed 30° from the horizontal, what vector represents this force?

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

F_x=43.30\ N

Step-by-step explanation:

Given that,

Force, F = 50 pounds

It is directed at 30° from the horizontal.

The force will be given by :

F_x=F\cos\theta\\\\=50\times \cos(30)\\\\=43.30\ N

So, the required force is 43.30 N.

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13. Danny is in science class and is given a square block of metal with
jenyasd209 [6]

Answer: 336g.

Step-by-step explanation:

the formula for density is mass divided by volume (m/v). In this problem, you mus first find the volume of the square block. The formula for volume is length multiplied by width multiplied by height (LxWxH). To solve for volume you plug in the values to the equation: 6x4x2 = 48.

Now, you have the volume, and you have the density. Now you need to solve for mass. Plug in the values you have into the density equation (d=m/v):

7=m/48

to isolate M, multiply each side by 48. this leaves you with 7x48 = m. now all thats left is to solve. 7x48 = 336g. You can double check by plugging the values back into the equation. 336/48 = 7.

5 0
3 years ago
Given that x overbarequals3.6667​, s Subscript xequals2.0656​, y overbarequals4.2167​, s Subscript yequals1.5613​, and requalsne
Shtirlitz [24]

Answer:

y = 0.7063x+2.7790

Step-by-step explanation:

Given that

x bar = 3.6667\\s_x= 2.0656\\y bar = 4.2167\\s_7 = 1.5613\\r = -0.9344

We have slope of linear regression line is

a=r*\frac{s_y}{s_x} =0.9344(\frac{1.5613}{2.0656} )\\=0.7063

So regression line would be of the form

y-4.2167 = 0.7063(x-2.0656) (since it passes through xbar, y bar)

y = 0.7063x+2.7790

is the equation of regression line.

6 0
3 years ago
There are 14 pieces of chalk and 42 packages of
dem82 [27]

Answer:

qjwjjwmwjwu 4f fsnfh the t4hhrnrhnn4

7 0
2 years ago
Read 2 more answers
Can someone please help me with this question?
Alinara [238K]

Answer:

im pretty sure its a

Step-by-step explanation:

because the water level is pretty much the same even when theres more swimmers

4 0
3 years ago
Which statements are true about the interquartile range? Select all that apply.
PilotLPTM [1.2K]

Answer:

The true statements are:

B. Interquartile ranges are not significantly impacted by outliers

C. Lower and upper quartiles are needed to find the interquartile range

E. The data values should be listed in order before trying to find the interquartile range

Step-by-step explanation:

The interquartile range is the difference between the first and third quartiles

Steps to find the interquartile range:

  • Put the numbers in order
  • Find the median Place parentheses around the numbers before and after the median
  • Find Q1 and Q3 which are the medians of the data before and after the median of all data
  • Subtract Q1 from Q3 to find the interquartile range

The interquartile range is not sensitive to outliers

Now let us find the true statements

A. Subtract the lowest and highest values to find the interquartile range ⇒ NOT true (<em>because the interquartial range is the difference between the lower and upper quartiles</em>)

B. Interquartile ranges are not significantly impacted by outliers ⇒ True <em>(because it does not depends on the smallest and largest data)</em>

<em />

C. Lower and upper quartiles are needed to find the interquartile range ⇒ True <em>(because IQR = Q3 - Q2)</em>

<em />

D. A small interquartile range means the data is spread far away from the median ⇒ NOT true (<em>because a small interquartile means data is not spread far away from the median</em>)

E. The data values should be listed in order before trying to find the interquartile range  ⇒ True <em>(because we can find the interquartial range by finding the values of the upper and lower quartiles)</em>

4 0
3 years ago
Read 2 more answers
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