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ella [17]
3 years ago
6

The reciprocal of the cosine is the ___.

Mathematics
2 answers:
Mariulka [41]3 years ago
7 0

Answer:

The correct answer is A

Step-by-step explanation:

The secant is the distance from the center to the vertical tangent in a certain direction.

Elan Coil [88]3 years ago
3 0

Answer:

A. secant

Step-by-step explanation:

For trigonometric ratios, we know that cosine is \frac{adjacent}{hypotenuse}. The reciprocal of something is just flipped over. So the reciprocal of cosine is \frac{hypotenuse}{adjacent}, which is the ratio for secant.

Another way we can remember this is       sec x = \frac{1}{cos x} \\\\cos x = \frac{1}{sec x}

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Alex787 [66]

Answer:

1596

Step-by-step explanation:

Do 7*12*19

5 0
3 years ago
Read 2 more answers
An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane f
Ganezh [65]

Answer:

299.99 miles

Step-by-step explanation:

Since the plane traveled due west,

The total angle is 49.17 + 90

Represent that with θ

θ = 49.17 + 90

θ = 139.17.

Represent the sides as

A = 170

B = 150

C = unknown

Since, θ is opposite side C, side C can be calculated using cosine formula as;

C² = A² + B² - 2ABCosθ

Substitute values for A, B and θ

C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17

C² = 22500 + 28900 - 51000 * Cos 139.17

C² = 51400 - 51000 (−0.7567)

C² = 51400 + 38,591.7

C² = 89,991.7

Take Square Root of both sides

C = 299.9861663477167

C = 299.99 miles (Approximated)

Hence, the distance between the plane and the airport is 299.99 miles

8 0
3 years ago
Write an equation in slope-intercept form that goes through (12, 4) and (20,8).
spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

Step-by-step explanation:

Given two points are:

(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)

Slope intercept form of line is given as:

y = mx+b

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

m = \frac{y_2-y_1}{x_2-x_1}

Putting the values

m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}

Putting the value of slope in slope-intercept form we get

y = \frac{1}{2}x+b

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2

Putting the value of b

y = \frac{1}{2}x-2

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: y = \frac{1}{2}x-2

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3 years ago
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Answer:

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Step-by-step explanation:

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