A^2+b^2=c^2 this is the answer that i got
Answer:
a = 15
Step-by-step explanation:
The Pythagorean theorem applies:
a² + 20² = 25²
a² = 625 - 400 . . . . . subtract 20²
a = √225 . . . . . . . . . . take the square root
a = 15
_____
You might recognize that the given measures (20, 25) are in the ratio 4:5. There is only one right triangle with sides in that ratio: the 3:4:5 right triangle. That is, the unknown side (a) matches
a : 20 : 25 = 3 : 4 : 5 . . . . numbers on the left are 5 times those on the right
a = 5·3 = 15
Answer:
Step-by-step explanation:
If n(t) represents the population size at time t, where n is measured in individuals and t is measured in years.
Taking the integral of both sides
ln |n| = 
Where C is integration constant
Taking the exponential of both sides
whee the exponential of a constant is a constant K.
When t=0, 
Therefore:
Answer:
a. 125 degrees
b. 62 degrees
c. 58 degrees
d. 130 degrees
Step-by-step explanation:
I assume these are the inner angles of the polygons.
remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.
each of these triangles has an angle sum of 180 degrees.
to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).
out of that total we can then calculate the size of the missing angle.
a. 6 sides, therefore 4 triangles
4×180 = 720 degrees
the missing angle is
angle = 720 - 88 - 152 - 125 - 105 - 125 = 125
b. 5 sides, 3 triangles
3×180 = 540 degrees
angle = 540 - 109 - 111 - 140 - 118 = 62
c. 4 sides, 2 triangles
2×180 = 360
angle = 360 - 60 - 142 - 100 = 58
d. 7 sides, 5 triangles
5×180 = 900
angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130
