Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
Answer:
It will take 4 years
Step-by-step explanation:
The formula of the simple interest is <em>I = Prt</em>, where
- <em>P</em> is the investment
- <em>r</em> is the annual rate in decimal
∵ The investment is $40000
∴ <em>P</em> = 40000
∵ The simple interest is $8000
∴ <em>I </em>= 8000
∵ The rate of interest is 5%
∴ r = 5%
→ Change it to decimal by divide it by 100
∴ <em>r</em> = 5 ÷ 100 = 0.05
→ Substitute them in the formula above
∵ 8000 = 40000 × 0.05 × t
∴ 8000 = 2000t
→ Divide both sides by 2000
∴ 4 = t
∵ t is the time of investment
∴ It will take 4 years
Step-by-step explanation:
Hi, Hope this will help:)
It would be 1/6 or about 16.7%.
Answer:
-3
Step-by-step explanation:
-9 divided by 3 is -3
