Answer:
A)10.25 cm ; B)5 square cm
Step-by-step explanation:
A)
Formula:
p=(a+b+c) [p= perimeter ; a,b , and c are the side lengths.]
∴The perimeter of the triangle =(4+2.75+3.5) cm
=10.25 cm
B)
Formula:
A = 1/2 . b .h [A=area ; b= base ; h= height]
∴The area of the triangle = (1/2 . 4 . 2.5) square cm [b=4 ; h=2.5]
=5 square cm
Answer:
The answer is b = 8a
Step-by-step explanation:
As, 0 x 8 = 0
2 1/2 = 5/2, 5/2 x 8 = 20
5 x 8 = 40
7 1/2 = 15/2, 15/2 x 8 = 60
10 x 8 = 80
13 1/2 = 27/2, 27/2 x 8 = 108
So all variables "a" when multiplied by 8 will give us the value in "b"
So b = 8a
Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)




Answer:
4.11 * 10⁷ square miles
Step-by-step explanation:
Let P = pacific ocean
A = Atlantic ocean
P = 63,780,000 = 6.38 * 10⁷
Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,
The area of A = 6.38 * 10⁷ - 2.27 * 10⁷
The area of the atlantic ocean = 4.11 * 10⁷ square miles