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3 years ago

A 44 B 5 C 10 D None of the choices are correct.

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

D. None of the choices are correct.

Step-by-step explanation:

If <em>B</em> is the midpoint of AC, then that means that AB is congruent to BC. Because this is true, you can set 8x + 4 and 10x - 8 equal.

8x + 4 = 10x - 8

Now just solve for x. Subtract 8x from both sides and add 8 to both sides.

4 = 2x - 8

12 = 2x

Then divide by 2.

6 = x

Another way to do this problem is to set up the same equation, but instead of solving it, plug in answer choices A, B, and C independently of each other. Then simplify to see if those are right. You'll find out that none of them are.

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A pilot and co-pilot are performing a test run in a new airplane. The pilot is required to take off and fly in a straight path a

crimeas [40]

Using the slope concept, it is found that:

The minimum horizontal distance is of 14,281.5 feet.

The maximum horizontal distance is of 15,398.6 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

$\tan{35^{\circ}} = \frac{10000}{d}$

$d = \frac{10000}{\tan{35^{\circ}}}$

$d = 14281.5$

The maximum horizontal distance is with an angle of 33º, hence:

$\tan{33^{\circ}} = \frac{10000}{d}$

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You can learn more about the slope concept at brainly.com/question/22568180

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3 years ago

Determine if events A and B are mutually exclusive.

gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

$P(A) = \frac{1}{4}$

$P(B) = \frac{3}{5}$

$P(A\ or\ B) = \frac{7}{10}$

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

$P(A\ or\ B) = P(A) + P(B)$

So, we have:

$P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}$

Take LCM

$P(A\ or\ B) = \frac{5+12}{20}$

$P(A\ or\ B) = \frac{17}{20}$

By comparing:

$P(A\ or\ B) = \frac{17}{20}$ ---- Calculated

$P(A\ or\ B) = \frac{7}{10}$ ---- Given

We can conclude that A and B are not mutually exclusive because:

$\frac{17}{20} \ne \frac{7}{10}$

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Step-by-step explanation:

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If you estimate
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