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4 years ago

What percent of 62 is 31

Mathematics

2 answers:

asambeis [7]4 years ago

6 0

31*2=62 so that means that 62 is 200% of 31

irina1246 [14]4 years ago

5 0

Umm. I assume you mean "If I have 31 out of 62 what percent of 62 do I have." The answer is 50%.

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In a survey of 500 voters 430 said they would vote the same candidate again. What percent of the voters would vote the same way

aksik [14]

Answer:

86%

Step-by-step explanation:

4 0

3 years ago

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In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa

belka [17]

9514 1404 393

Answer:

9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

tan(α) = 500/3000 = 1/6

α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

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Additional comment

The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.

5 0

3 years ago

What is the equation of a line that passes through the point?

Artist 52 [7]

<h3>Answer: 3x-2y = 5 (choice A)</h3>

=====================================================

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

m = (y2 - y1)/(x2 - x1)

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

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3 years ago

What does a cluster tell you about the data on a scatter plot?

slava [35]

It can tell you the general pattern or that it is far from the other points in scatter plot.

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3 years ago

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How to solve 4/7y-2 = 3/7 + 3/14

lisabon 2012 [21]

Solution

1) Simplify $\frac{4}{7y}$ to $\frac{4y}{7}$
$\frac{4y}{7}$ −2= $\frac{3}{7}$ + $\frac{3}{14}$

2) Simplify $\frac{3}{7}$ + $\frac{3}{14}$ to 914
 $\frac{4y}{7}$ −2= $\frac{9}{14}$

3) Add 2 to both sides
 $\frac{4y}{7}$ = $\frac{9}{14}$ +2

4) Simplify $\frac{9}{14
}$ +2 to $\frac{37}{14}$
$\frac{4y}{7}$ = $\frac{37}{14}$

5) Multiply both sides by 7
4y= $\frac{37}{14}$ ×7

6) Simplify $\frac{37}{14}$ ×7 to $\frac{259}{14}$
$\frac{4y}{7}$ = $\frac{259}{14}$

7) Simplify $\frac{259}{14}$ to $\frac{37}{2}$
$\frac{4y}{7}$ = $\frac{37}{2}$

8) Divide both sides by 4
y= $\frac{37}{2}$ ×4

9) Simplify 2×4 to 8
y= $\frac{37}{8}$

Hope this helps

5 0

3 years ago