Answer:
(a) 4
(b) 2/3
Step-by-step explanation:
(a) 4y+3=19
4y=19-3
4y=16
y=4
(b) 12n-3=5
12n=5+3
12n=8
n=8/12
n=2/3
Answer:
It is not a right triangles because 15^2 + 13^2 is NOT EQUAL to 19^2
let x, y, and z be the angles inside the triangle.
Law of cosines says:
19^2 = 13^2 + 15^2 - 2(13)(15)cos x
361 = 169 + 225 - 390 cos x
-33 = -390 cos x
-33/-390 = cos x
11/130 = cos x
x = inverse cosine (11/130)
= 85.14609471338569.....
Per law of sines:
sin x/19 = sin y / 13
(13/19)sinx = sin y
inverse_sine ( (13/19) sin x) = y
y = 42.9810733896016548....
Per law of sines
sin x/19 = sin z / 15
z = inverse_sine( (15/19) sin x)
= 51.8728352950227805....
So it is an acute triangle and yes, these angles add up to 180
The first question the answer to it is 30.
To do that divide 50/2 and see how many movies she can buy, which 25, then add the 5 free movies which gives you 30.
And the second part of the question I think is missing a picture or something.
Working on x and y first, we get:
<span><span><span>x6 / </span><span>x3</span></span>= <span>x3</span></span> and
<span><span><span>y6/ </span><span>y12 </span></span>= 1/ <span>y6</span></span> so, we have:<span><span> 2 <span>x3 / </span></span><span>y6
Entering values in original equation, we get:
</span></span><span>(2 <span>x3/ </span><span>y6</span><span>)^2</span></span>=4 x^6 / y^12
