The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.
5 1/2 = 11/2
11/2 x 3/4 = 33/8 = 4 1/8
answer is B. 4 1/8
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A
and B
in the ratio m:n is given by:

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

Therefore the coordinates of point X is at (-13, -7)
Answer:
f=−35
Step-by-step explanation:
<em>1.Simplify 4×6.5 to 26</em>
f=-26-9
<em>2. Simplify -26-9 to -35</em>
f=-35
Answer:
The width and length of rectangle is 12.728 m
Step-by-step explanation:
Let the length of the rectangle = L
let the width of the rectangle = W
The subjective function is given by;
F(p) = 2(L + W)
F = 2L + 2W
Area of the rectangle is given by;
A = LW
LW = 162 ft²
L = 162 / W
Substitute in the value of L into subjective function;

Take the second derivative of the function, to check if it will given a minimum perimeter

Determine the critical points of the first derivative;
df/dw = 0

L = 162 / 12.728
L = 12.728 m
Therefore, the width and length of rectangle is 12.728 m