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2 years ago

HELP PLEASE! Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

3 0

Answer:

12.0

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig function relating the adjacent side of an angle in a right triangle to the hypotenuse:

Cos = Adjacent/Hypotenuse

Filling in the given values, we have ...

cos(24°) = 11/x

Multiplying this equation by x/cos(24°), we get ...

x = 11/cos(24°) ≈ 12.0

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SIMPLIFY THE EXPRESSION -3(-5 + s)

Arturiano [62]

Answer

15 + (-3s) or 15 - 3s

Step-by-step explanation:

-3 times -5 is 15

-3 times s is -3s

8 0

2 years ago

I need help with this

andre [41]

Answer:

$f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}$

Step-by-step explanation:

Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.

Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².

Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).

Taken altogether, these factors give us the function ...

$\boxed{f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}}$

8 0

3 years ago

Alan's go kart travels 1750 feet per minute and Barry's go kart travels 21 miles per hour whose go kart travels faster round you

krok68 [10]

Answer:

Barry's kart is faster as he goes 21 Mph while Alan only goes 19.89 Mph.

Step-by-step explanation:

First to get this answer we need to convert feet per minute to miles per hour. So we multiple 1750 feet per minute by 60 to get a hour. This gets up 105000 total feet in a hour. Now we need to divide this by 5280, which is how long a mile is, to get 19.89 miles which is how many miles he travels in a hour making him travel 19.89 mph which is less than 21 making Barry faster.

7 0

2 years ago

Which of the following numbers is irrational?

love history [14]

the square root of three when multiplied by itself if the number three it is more precisely call the principal square root of three the square root of three is an irrational number approved the irrationality

6 0

3 years ago

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). At which points could the vertex of the right angle in t

Pie

Answer:

(–1, 1) and (4, –2)

Step-by-step explanation:

we know that

The vertex of the right angle of the triangle could be situated at a point with the same x-coordinate of point A and the same y-coordinate of point B or at a point with the same x-coordinate of point B and the same y-coordinate of point A

we have

A(4, 1) and B(–1, –2)

a point with the same x-coordinate of point A and the same y-coordinate of point B is the point (4,-2)

a point with the same x-coordinate of point B and the same y-coordinate of point A is (-1,1)

therefore

(–1, 1) and (4, –2)

3 0

3 years ago

Read 2 more answers