Answer:
b = 7.56 cm
Step-by-step explanation:
Sum of the angles in a triangle = 180
so m∠A = 180 - 75 - 36 = 69 ;
use the law of sines:
(sin A) / a = (sin B) / b = (sin C) / C.
Now plug in ∠A = 69 into formula (sin A) / a = (sin B) / b and solve for b:
(sin 69) / 12 = (sin 36) / b
cross multiply:
b sin 69 = 12 sin 36 divide each side by sin 69
b = {12 sin 36} / sin 69
b = (12 sin 36) / sin 69 = 7.555........
b = 7.56
Answer:
never
Step-by-step explanation:
In a right triangle, every angle has an opposite side and an adjacent side. And there's always a hypotenuse.
The sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.
The tangent ratio of an angle is the opposite side over adjacent side, it is not the sine ratio of a triangle.
For example, ABC is a right angled triangle having length of the sides are a,b,c.
So
Answer and explanation:
<h2>h</h2>
<em>Subtract h + j + 2k = 16 by 4h + 4j + 2k = 5</em>
<em> </em> h + j + 2k = 16
-(4h + 4j + 2k = 5)
-3h - 3j = 11 <em>Then add 3j to both sides to get -3h alone</em>
-3h = 11 + 3j <em>Now divide both sides by -3 to get h</em>
h = =
<h2>j</h2>
<em>Plug in h and k to h + j + 2k = 16 </em>---> + j + 2(1) = 16
<em>Then add any like terms together</em> + 2j = 16
<em>Add on both sides</em> 2j = + 16
<em>Divide both sides by 2</em>
<em>You can divide a fraction by a fraction, so you do kcf</em> j = · =
<h2>k</h2>
<em>Multiply h + j + 2k = 16 by 2</em> ---> 2h + 2j + 4k = 32
<em>Then subtract 2h + 2j + 4k = 32 by 2h + 2j + k = 31</em>
<em> </em>2h + 2j + 4k = 32
-(2h + 2j + k = 31)
3k = 1 <em>Divide both sides by 3 to get k</em>
k = 1
Answer:
y = -5, 1
Step-by-step explanation:
2y² - 10y + 44 = (y - 7)²
expand (y - 7)²
(y - 7)² = y² - 14y + 49
move it to the left
(2y² - 10y + 44) - (y² - 14y + 49) = 0
distribute the (-)
2y² - 10 y + 44 - y² + 14y - 49 = 0
combine like terms
y² - 4y -5
factor with factoring X
y² + 5y - y - 5 = 0
factor by grouping ↓
factor out a y from first half of equation
y(y + 5) - y - 5 = 0
factor out a (-) from second half of equation
y(y +5) - (y + 5) = 0
(y +5)(y - 1) = 0
y = -5, 1
A right triangle is the answer