Answer:
Base of the original triangle is 12 cm.
Step-by-step explanation:
Let base of triangle be x
two equal legs of triangles by y
therefore perimeter of triangle
x+y+y = 50 or x+2y =50
according to the question
if base is x+3 and leg is y-4
then both are equal
that is x+3 = y-4
y-x = 7 or y =x+7
x+2y =50
x+2(x+7) = 50
x+2x +14 =50
3x +14 =50
3x = 50 -14
3x = 36
x = 12
therefore base of the original triangle is 12 cm
Answer:
Circumference is about 185.26 cm.
Area is about 2732.585 
Step-by-step explanation:
Circumference = 2πr
2 x 3.14 x 29.5 = 185.26
Area of a circle = π
3.14 x 29.5 x 29.5 = 2732.585
Answer:
D
Step-by-step explanation:
8 and 3/5 = 8.2 and 8.2 is between 8 and 9 so the answer is D.
Answer:
n = 9
Step-by-step explanation:
3(n+7)=48
distribute
3n +21 = 48
subtract 21 from each side
3n = 48-21
3n = 27
divide by 3
3n/3 = 27/3
n = 9
Answer:
6825
Step-by-step explanation:
From the equation, the series is a geometric series, such that
a = 5
r = 4
n = 6
sum of a geometric series is a(r^n - 1)/(r - 1)
therefore,
sum of the series is 5 x (4^6 - 1) / (4 - 1)
= 5 x (4096 - 1) / 3
= 5 x 4095 / 3
= 6825
