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:
2800m
Step-by-step explanation:
Assumption:
Start point from which Percy Cod walks is "x"
If he walks around a perimeter that is the shape of a rectangle,
Length of area = L = 1000m
Width of area = W = 400m
Distance around the rectangle = D = 2 * (L + W)
D = 2 * (400+1000)
D = 2 * 1400
D = 2800m
Answer:
3. 18 meters.
4. A= 6. 25cm^2 and P= 10 cm
5. 16 feet and 3 feet.
Step-by-step explanation:
3. base= 2 (A/h)
2 (72/8) = 18
4. A= side^2
2.5^2 = 6.25
P= 4 sides
2.5 x 4= 10
5. 16x3= 48
I am very stuck on this answer simplify 8/12
