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3 years ago

Find the exact value of sin(o) a. 0.0161 b. 0.7975 c. 12/13 d. 12/5

Mathematics

2 answers:

podryga [215]3 years ago

7 0

<u>Answer:</u>

The correct answer option is C. 12/13.

<u>Step-by-step explanation:</u>

We are given a right angled triangle with two known sides and we are to find the measure of the angle O.

For finding the measure of O, we will use sine for which we need to find the value of the value of the hypotenuse (MO).

$MO = \sqrt {(5)^2 + (12)^5} = \sqrt{169} = 13$

Now that we know the length of the hypotenuse, we can find sin (O).

$sin O = \frac{12}{13}$

Therefore, the correct answer option is C. 12/13.

Finger [1]3 years ago

4 0

Answer:

Step-by-step explanation:

We require to find the length of the hypotenuse (h)

Using Pythagoras' identity in the right triangle

h² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )

h = $\sqrt{169}$ = 13

sinO = $\frac{opposite}{hypotenuse}$ = $\frac{MN}{MO}$ = $\frac{12}{13}$

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If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?

Leno4ka [110]

Answer:

$A = 6$ .

Step-by-step explanation:

Let $a$ denote a constant (a number, rather than a variable like $x$ .)

Let $f(x)$ denote an expression about $x$ (for example,

By the factor theorem, if $(x - a)$ is a factor of $f(x)$ , then $f(a) = 0$ . In other words, if all mentions of $x$ in the expression $f(x)\!$ are replaced with $a$ , then the expression should evaluate to zero.

$(x + 3)$ is equivalent to $(x - (-3))$ . That is: $a = -3$ .

Replace all mentions of $x$ in $x^3 - x^2 - 10\, x + A$ by $(-3)$ to get:

$(-3)^3 - (-3)^2 - 10\times (-3) + A$ .

That should evaluate to zero. Therefore: $-27 - 9 + 30 + A = 0$ . Solve for $A$ to get $A = 6$ .

7 0

3 years ago

Someone please explain (:

GaryK [48]

Answer:

a.) 1.38 seconds

b.) 17.59ft

Step-by-step explanation:

h(t) = -16t^2 + 22.08t + 6

if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.

to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex

-b/2a

b=22.08

a=-16

-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds

now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.

h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.

approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.

for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.

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3 years ago

If you apply for a job with Globo Corp, there is a 75% chance that you will get an interview.

aivan3 [116]

Answer:

The probability that you will get the job If you apply for a job with Globo Corp=0.36

Step-by-step explanation:

We are given that

If you apply for a job with Globo Corp, then the probability of getting interview P(A)=75%=0.75

If you get an interview, then the probability of getting job=P(B)=48%=0.48

We have to find the probability that you will get the job If you apply for a job with Globo Corp.

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3 years ago

Someone help me figure this out

Lena [83]

-6, because you can see a pattern in which the x coordinate of each pair is reversed to the opposite value, from positive to negative.

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