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3 years ago

An airplane descends 3.5 miles to an elevation of 5.25 miles. Find the elevation of the plane before its

Mathematics

1 answer:

timurjin [86]3 years ago

8 0

Answer: The initial elevation of the plane was 8.75 miles.

Step-by-step explanation:

Suppose that the initial elevation of the plane is E.

Then the plane descends 3.5 miles.

Then the new elevation of the plane will be:

E - 3.5 miles.

Now, we know that the new elevation of the plane is 5.25 miles, then:

E - 3.5 miles = 5.25 miles.

Now we need to solve this for E.

To solve this, we can add the same number to both sides of the equation, so we can add 3.5 miles to both sides to get:

(E - 3.5 miles) + 3.5 miles = 5.25 miles + 3.5 miles

E + (3.5 miles - 3.5 miles) = 5.25 miles + 3.5 miles

E = 8.75 miles.

The initial elevation of the plane was 8.75 miles.

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wlad13 [49]

Answer:

-3

Step-by-step explanation:

Remember the following:

cos(x)=cos(x/2 + x/2) = cos(x/2)*cos(x/2) -sin(x/2)*sin(x/2)

cos(x)=cos2(x/2) - sin2(x/2)

We also know that sin2(a)+cos2(a)=1,

so sin2(x/2)=1 - cos2(x/2). obtained from previous step.

So, our first expression can be written as:

cos(x)=cos2(x/2)-1+cos2(x/2)

Where we obtain that: cos(x/2)= sqrt( 1+ cos(x))/ sqrt(2)

If we again use sin2(a)+cos2(a)=1, we will obtain the following relation:

sin(x/2)= sqrt(1-cos(x))/sqrt(2)

Next Tang(x/2)= sin(x/2) / cos(x/2)= sqrt(1-cos(x))/sqrt(1+cos(x))=

SQRT(9/1)=3

In the given range, cos(x), hence tan(x/2) is also negative

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3 years ago

What devided by what equals 74

Katena32 [7]

148 divided by 2 equals 74

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3 years ago

Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are

wlad13 [49]

Answer:

E(29/4,3)

Step-by-step explanation:

Given that,

Segment CD has point E located on it such that CE:ED = 3:5

The coordinates of C and D are (5, -6) and (11,18) respectively.

We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

$(x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3$

So, the coordinates of E are (29/4,3).

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3 years ago

70 × 6000 associative properties

Hatshy [7]

You can do
70 x 6000
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3 years ago

Read 2 more answers

Last year, 12 hydrange bushes had a mean of 14 blooms each, with a standard deviation of 2. The dot plot shows the number of blo

Nataly_w [17]

Answer: The plant food produces more blooms on average, but the results aren't as consistent as before.

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

Explanation:

The dot plot leads to this data set

{8, 12, 12, 17, 17, 18, 18, 18, 19, 19, 20, 23}

Using pencil/paper, or using technology, you should find the following properties of this data set

mean = 16.75
sample standard deviation = 4.11

The second value is approximate. Both the mean and standard deviation are larger than their original counterparts (mean = 14 and std dev = 2).

Since the mean is larger, this means the data points have been shifted to the right further. The larger standard deviation tells us that the data is more spread out.

So it appears this new plant food has made the number of blooms increase overall, but it's also made the data more inconsistent. A smaller standard deviation would mean a more narrow set of points and therefore more consistent values (they'd all be clumped around the mean better).

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3 years ago