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n200080 [17]
3 years ago
11

What is measure of angle A?

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer:

A=53.13\°

Step-by-step explanation:

The figure shows a right triangle.

To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:

\alpha=arctan(\frac{opposite}{adjacent})

Identify the angle \alpha, the opposite side and the adjacent side:

\alpha=A\\opposite=4cm\\adjacent=3cm

Substitute into \alpha=arctan(\frac{opposite}{adjacent}).

The measure of the angle A is:

A=arctan(\frac{4}{3})\\\\A=53.130\°

Rounded to the nerarest hundreth:

A=53.13\°

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Answer:

Job A is more profitable for nearly 49 months (or 50 months including the first month)

Job B is more profitable after 49 months (or 50 months including the first month).

Step-by-step explanation:

Let x be the number of months passed after first month

<u>Job A:</u>

$2,000 for the first month with a $300 raise every month thereafter

Function describing this situation:

f(x)=2,000+300x

<u>Job B:</u>

$1,500 for the first month with a 5% raise every month thereafter

Function describing this situation:

g(x)=1,500\cdot (1+0.05)^x\\ \\g(x)=1,500\cdot 1.05^x

Plot both graphs (see attached diagram). The diagram shows that the job A is more profitable for nearly 49 months (or 50 months including the first month) and the job B is more profitable after 49 months (or 50 months including the first month).

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What is the value of the y-coordinate where this line crosses the y-axis? (7, 17) (3,9) ​
Mekhanik [1.2K]

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Step-by-step explanation:

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2 years ago
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Serjik [45]

Answer:

x = 10√3

Step-by-step explanation:

Because of the right angles, we can use Pythagoras

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y² - 20² = h² (b) Medium triangle

substitute y² from (a) into (b)

30² - x² - 20² = h²

500 - x² = h²  (d)

x² - h² = (30 - 20)² (c) smallest triangle

substitute h² from (d) into (c)

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Answer:

P = \frac{5}{282} = 0.0177

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

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Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

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