We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
t=-8
Step-by-step explanation:
-5t-2(5t+10t)=100
-2 x 5t=-10t
-2 x 10 = -20
-5t-10t-20=100
combine terms and add 20
-15t=120
divide by -15
t=-8
Answer: 27
Step-by-step explanation:
No. Of juniors: 8
Total students: 30
8/30 x 100 = 26.66
Rounds to (whole percent): 27
I'll help you in the comments of this questions. need time to work it out.
Answer:
[See Below]
Step-by-step explanation:
✦ First change the improper fractions to decimals:
✧ ⁵⁄₄ = 1.25
✧ -⁹⁄₅ = -1.8
✦ Then divide:
✧ 1.25 ÷ -1.8 = -0.69
So x would be -0.69 in decimal form.
~<em>Hope this helps Mate. If you need anything feel free to message me.</em>
