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3 years ago

Determine the intercepts of the line.

Mathematics

1 answer:

gayaneshka [121]3 years ago

5 0

Answer:

x-intercept: (18/5,0)

y-intercept: (0,-2)

Step-by-step explanation:

btw .. you put the equation twice it's supposed to be " -5x+9y=-18 "

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The physics department of a college has 8 male professors, 11 female professors, 16 male teaching assistants, and 6 female teach

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#of female teaching assistants + # of male teaching assistants + # of female professors

6 + 16 + 11 = 33

Total = 41

33/41 = 80

There is a approximate 80% probability that one or the other will occur.

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Step-by-step explanation:

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1 year ago

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2 years ago

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Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean

Leno4ka [110]

Answer:

a = $\sqrt{7}$

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

$a^2+b^2=c^2$

Given that: b=3 and c=4

$a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7$

so a = $\sqrt{7}$

We know that tangent relates opposite side of a right triangle with adjacent side.

$\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}$

Please have a look at the attached photos.

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3 years ago