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IceJOKER [234]
2 years ago
10

Evaluate sin(Arcos(-9/√145)).

Mathematics
2 answers:
tino4ka555 [31]2 years ago
8 0

Use the fact that \sin x = \sqrt{1-\cos^2 x} to solve it.

\sin(\arccos(-\frac{9}{\sqrt{145}}))=\sqrt{1-\cos^2(\arccos(-\frac{9}{\sqrt{145}}))} =\\= \sqrt{1-(-\frac{9}{\sqrt{145}})^2}=\frac{8}{\sqrt{145}}

makkiz [27]2 years ago
7 0

Answer:

a

Step-by-step explanation:

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Jason Reads 126 pages in 6 hours. Joe reads 115 pages in 5 hours how many more pages per hour does Joe read?
Marizza181 [45]
Jason --> 126/6 = 21 pages per hour

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hope this helps :)
4 0
1 year ago
Peter wants to fence the park in front of his home on three sides which measure 152m 40cm, 205m 10cm, 310m 39cm. What is the tot
Tpy6a [65]

One centimenter is 0.01 meters. So, you can write the measures as

152.40\text{m},\quad 205.10\text{m},\quad 310.39\text{m}

Once this rewriting is done, getting the total length T is quite trivial, since all measurements are in the same unit, and we can simply sum everything:

T = 152.40+205.10+310.39 = 667.89

8 0
2 years ago
it is sixty-eight kilometres between venice and vicenza. every day the train does the journey four times. how far does the train
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8 0
1 year ago
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line o
kap26 [50]

Given:

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.

To find:

The other zero.

Solution:

We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.

It means, line of symmetry passes through the mid point of both zeroes.

Let the other zero be x.

-3.5=\dfrac{(-9)+x}{2}

Multiply both sides by 2.

-7=-9+x

Add 9 on both sides.

-7+9=-9+x+9

2=x

Therefore, the other zero of the quadratic function is 2.

8 0
2 years ago
The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot:
arsen [322]

Answer:

The factors of x^2+3x-4 are (x-1)(x+4) ....

Step-by-step explanation:

We have to find the factors of x^2+3x-4

As we know that this is a quadratic equation.

So we have to find the roots first.

The roots are -1 and 4.

Now completing the quadratic formula using the roots we have :

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Make a pair of first two terms and last two terms:

(x^2+4x)-(x+4)

Now take out the common from each pair:

x(x+4)-1(x+4)

(x-1)(x+4)

Thus the factors of x^2+3x-4 are (x-1)(x+4) ....

5 0
2 years ago
Read 2 more answers
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