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2 years ago

Given right triangle ABC, what is the value of tan (A)

Mathematics

2 answers:

bearhunter [10]2 years ago

8 0

Answer:

12/5

Step-by-step explanation:

Recall that trig function tan = opposite / adjacent

Find tan A

Opposite side of angle A = 24

Adjacent of A = 10

Tan (A) = 24/10

24/10 can be simplified to 12/5

Murrr4er [49]2 years ago

7 0

Answer:

$\frac{12}{5}$

Step-by-step explanation:

Tan is equal to $\frac{opposite}{adjacent}$ . The side opposite to angle A is BC while the side adjacent to it is AC. This means tan(A) is $\frac{BC}{AC}$ . It is given that BC is 24 and AC is 10, so we can substitute those values in and simplify:

tan(A) = $\frac{24}{10} = \frac{12}{5}$

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A: What are the solutions to the quadratic equation x^2+9=0?

Nataliya [291]

Answer:

Part A)

x=-3i

x=3i

Part B)

(x+3i)(x-3i)

Step-by-step explanation:

Given:

Part A)

x^2+9=0

x^2=-9

x= √-9

x=√-1 *√9

x=± i *3

x=±3i

Part B)

x^2+9=0

x^2 - (-9)=0

x2-(3i)^2=0

(x-3i)(x+3i)=0 !

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3 years ago

Homework #74

ollegr [7]

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3 years ago

The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

tatuchka [14]

Answer:

$y=\dfrac{7}{5}x-\dfrac{67}{5}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

Rearrange the given equation so that it is in slope-intercept form:

$\implies -5x-7y=-17$

$\implies -7y=5x-17$

$\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}$

Therefore, the slope of the given equation is -⁵/₇.

If two lines are perpendicular to each other (at right angles), the product of their slopes will be -1. Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

$\sf m=\dfrac{7}{5}$