Area of paralellogram=legnth times height
l=legnth
h=height
area=96
lh=96
h is 4 less than l
h=-4+l
sub
l(-4+l)=96
-4l+l^2=96
minus 96 both sides
l^2-4l-96=0
factor
(l-12)(x+8)=0
set to zero
l-12=0
l=12
l+8=0
l=-8, imossible, legnth cannot be negative, disreagard this soultion
legnth=12cm
Answer:
50.6 cm
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the smaller triangle side over the larger triangle side.
x 46.2-14 (This is the length of the short side of the triangle)
--------- = -------------
72.6 46.2
Using cross products
46.2 *x = (46.2-14) *72.6
46.2 *x = (32.2) *72.6
46.2 *x = (32.2) *72.6
46.2x =2337.72
Divide each side by 46.2
46.2/46.2 *x = 2337.72/46.2
x = 50.6
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
173
Decimal Form:
5.¯6
Mixed Number Form:
523
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
<u>This is a right triangle as shown by the right angle.</u>
- The side opposite the right angle is the hypotenuse, which is 9.
- The side opposite angle A is 3.
So we have the opposite of A and the hypotenuse.
The trigonometric ratio that relates opposite side to hypotenuse is SINE.
Since, we need angle A, 
is A, opposite side is 3, and hypotenuse is 9, we substitute:
<em>To solve for the angle, we use our calculator and find the inverse sin of 
:</em>
<em>Rounding to nearest tenth of a degree:</em>
B is the right choice.
