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Mathematics

1 answer:

Fed [463]3 years ago

5 0

The correct answer is option B which is $Cot\theta=\dfrac{24}{7}$ .

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

$Sec\theta=\dfrac{25}{24}$

The value of cot theta will be calculated as:-

We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.

H² = P² + B²
P² = H² - B²

P² = 25² - 24 ² = 49

P = √49 = 7

Now the value of cot theta will be calculated as:-

$Cot\theta =\dfrac{B}{P}=\dfrac{24}{7}$

Therefore the correct answer is option B which is $Cot\theta=\dfrac{24}{7}$ .

To know more about Trigonometry follow

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3 years ago

N the diagram, and are horizontal lines and is a vertical line segment. If FB : FC = 4 : 3, what are the coordinates of point D?

riadik2000 [5.3K]

<span>Given the diagram, where AB and EF are horizontal lines and CB is a vertical line segment. Given that FB : FC = 4 : 3, From the diagram, the coordinate of A is (-10, -8) and the coordinate of C is (-3. -1). We can also see that the coordinate of B is (-3, -8) (since CB is a vertical line means that B is the same x-value as C and AB is a horizontal line means that B is the same y-value as A) Recall that the coordinate of a point dividing a line segment in the ratio m:n is given by (x1 + m/(m+n) (x2 - x1), y1 + m/(m+n) (y2 - y1)) Thus, since FB : FC = 4 : 3, this means that point F divides the line segment BC in the ratio 4 : 3. Thus, the coordinate of F is given by (-3 + 4/(4+3) (-3 - (-3)), -8 + 4/(4+3) (-1 - (-8))) = (-3 + 4/7 (0), -8 + 4/7 (7)) = (-3, -4). Also, given that FB : FC = 4 : 3, this means that point D divides the line segment AC in the ratio 4 : 3. Thus, the coordinate of D is given by (-10 + 4/(4+3) (-3 - (-10)), -8 + 4/(4+3) (-1 - (-8))) = (-10 + 4/7 (7), -8 + 4/7 (7)) = (-6, -4). Therefore, the coordinates of point D is (-6, -4).</span>

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3 years ago

drug sniffing dogs must be 95% accurate in their responses because their handlers don't want them to miss durgs and also don't w

GenaCL600 [577]

Answer:

95% Confidence interval: (0.8449,0.9951)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Number of times the dog is right, x = 46

$\hat{p} = \dfrac{x}{n} = \dfrac{46}{50} = 0.92$