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Novosadov [1.4K]
3 years ago
8

What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13

Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer:

sin = 12/13 and tan = 12/5

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Write the equatoin of a graph that has Roots of x={-2,0,4} and has a point of (-1,10)
zheka24 [161]

Step-by-step explanation:

to have "roots" means that the function delivers 0 as function result for these values of x.

so,

f(x) = 0 for x = -2, x = 0 and x = 4

we can build this function as a product of factors.

each factor is an expression of x that turns 0 for the given value of x.

what is the simplest expression of x that turns 0, when x = -2 ?

well : x + 2

as you can easily see, this is 0, when x = -2.

and the easiest existing of x that is 0, when x = 0 ?

totally simple : just x.

and then x - 4 for x = 4

so, our function is

f(x) = x(x + 2)(x - 4)

but : this is one of infinite possibilities.

let's see what happens, if we use the x coordinate (-1) of the given point (-1, 10).

we know, the result must be 10.

-1×(-1 + 2)(-1 - 4) = -1×1×-5 = 5

aha ! so, in order to get 10 instead of just 5 we must multiply the whole thing by 2.

as n×0 is always still 0, this does not change our 0 points (or roots).

so, our full function is :

f(x) = 2x(x + 2)(x - 4)

or, if you need the function as a polynomial, we need to do the multiplications :

f(x) = 2x(x² - 4x + 2x - 8) = 2x(x² - 2x - 8) = 2x³ - 4x² - 16x

3 0
2 years ago
Is AP Calculus more difficult than AP Statistics?
Natali5045456 [20]

Answer:

no both are "=" hard

Step-by-step explanation:

3 0
3 years ago
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Kaylis [27]

Given:

The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

Solution:

We have,

25, 20, 15, 10, 5

It is an AP because the difference between two consecutive terms are same.

Here,

First term (a) = 25

Common difference (d) = 20-25

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The nth terms of an AP is

a_n=a+(n-1)d

Where, a is the first term and d is the common difference.

Putting a=25, n=9 and d=-5 to get the 9th term.

a_9=25+(9-1)(-5)

a_9=25+(8)(-5)

a_9=25-40

a_9=-15

Therefore, the ninth term of the given sequence is -15.

3 0
2 years ago
Convert to the given unit.
kondor19780726 [428]
Using the relation 1 in = 0.0277778 yd:

324 in * (0.0277778 yd) = 9 yd.

Among the choices, the correct answer would be A. 9 yd.
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3 years ago
Calculate the area of this figure to the nearest tenth
Ipatiy [6.2K]

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what is the figure my guy

Step-by-step explanation: blah blah blah math blah blah blah

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