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Mars2501 [29]
3 years ago
14

If sec 48 = 1.4945, find csc 42

Mathematics
1 answer:
Grace [21]3 years ago
3 0
Because cos(x) = 1/sec(x), therefore
cos(48) = 1/1.4945 = 0.6691

The angle 48° is in quadrant 1, therefore cos, sin, tan, sec, csc and cot functions are all positive.

Note that sin(90° - x) = cos(x).
Therefore
sin(90 - 48) = cos(48)
sin(42°) = cos(48°) = 0.6691

Because csc(x) = 1/sin(x), therefore
csc(42°) = 1/sin(42°) = 1/0.6691 = 1.4945

Answer:  1.4945
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The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of
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Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

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x² - 7x + 10 = L(x -5)

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divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

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Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

7 0
3 years ago
If it requires 6 pounds of wild caught animals to create 1 pound of salmon, what percent of the wild caught animals are wasted?
Oduvanchick [21]

The percentage of animal wasted is the number of animal wasted over 100

85.7%  of the wild caught animals are wasted

<h3>How to calculate the animal wasted</h3>

From the question, we have:

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Salmon = 1 pound

The total weight in the system is:

Total = 6 pounds + 1 pound

So, we have:

Total = 7 pounds

The percent of wild caught animals wasted is then calculated as:

\%Wasted = \frac{6}{7} * 100\%

Simplify

\%Wasted = 85.7\%

Hence, 85.7%  of the wild caught animals are wasted

Read more about percentage at:

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2 years ago
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Step By Step Explanation

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3 years ago
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Step-by-step explanation:

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3 years ago
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
EleoNora [17]

The true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

<h3>How to explain the cost?</h3>

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Here, the true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.

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