Answer:
The perimeter of the triangle 198 cm.
Step-by-step explanation:
Given that,
In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.
Pythagorean Theorem:
Sum of square of the legs is equal to square of hypotenuse.
∴a²+b²=c²
a= ?, b= 77 cm and c=85 cm
a²+77²=85²
⇒a²+5929=7225
⇒a²=7225-5929
⇒a²= 1296
⇒a = 36 cm
The perimeter of the triangle = sum of all sides
=a+b+c
=(36+77+85) cm
= 198 cm
Answer:
x = 3.96
Step-by-step explanation:
apply the pitagoras theorem
x =

<h3>
Answer: (2/3)^3</h3>
Explanation:
Note how 8 = 2^3 and 27 = 3^3
This means, 8/27 = (2^3)/(3^3) = (2/3)^3
For the last step, I used the rule (a^c)/(b^c) = (a/b)^c
937-837= ?
937-837=100
Hope i Helped:)
Answer: 5 branches and 16 birds.
Step-by-step explanation:
If the number of birds is B, and the number of branches is N.
First we have the equation:
B = 3*N + 1
(3 birds per branch + 1 that was flying around)
for the second equation we have:
B = 4*(N - 1)
(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)
now we can write:
3*N + 1 = 4*(N - 1)
3*N + 1 = 4*N - 4
4 + 1 = 4*N - 3*N
5 = N
So we had 5 branches, now we can replace it in one of the equations and find the number of birds.
B = 3*N + 1 = 3*5 + 1 = 16