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2 years ago

Calculate the angle of depression from the

Mathematics

1 answer:

Verizon [17]2 years ago

7 0

Answer: $52.6^{\circ}$

Step-by-step explanation:

Let the angle of depression be x.

$\sin x=\frac{27}{34}\\\\x=\sin^{-1} \left(\frac{27}{34} \right) \approx 52.6^{\circ}$

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Please Help!!!

mylen [45]

B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.

Now, notice that

$\dfrac12+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots=\dfrac12+\dfrac{2^{2-1}}{3^2}+\dfrac{2^{3-1}}{3^3}+\dfrac{2^{4-1}}{3^4}+\cdots$

That is, we can write the sum more compactly as

$\dfrac12+\dfrac12\displaystyle\sum_{n=1}^\infty\left(\frac23\right)^n$

The series is geometric with common ratio $\dfrac23$ , so the series converges (and thereby has a sum), so the answer is D.

6 0

3 years ago

HOS

lianna [129]

Answer:

Step-by-step explanation:

5 0

3 years ago

Rashaan says that -6 divided by 2 equals -3 which multiplication expression can be used to check his answer

Musya8 [376]

2 times negative 3 equals negative 6

5 0

2 years ago

Which ratio is equivalent to 12 to 8?

Serga [27]

I believe it is 3 to 2

6 0

2 years ago

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror

PtichkaEL [24]

<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

<u>Length of the mirror Austen needs to buy ➢</u> 3 ft
<u>Width of the mirror Austen needs to buy ➢</u> 2 ft
<u>Cost of mirror per square foot ➢</u> $5.00

Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

Area of Mirror = Length × Width
Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

<u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

<u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h2><u>Final Answer :-</u></h2>

Total cost of the mirror Austen needs to buy will be $30

7 0

3 years ago