2 - 5x - 24 = 0 (calculate)
-22 - 5x = 0 (move the constant to the right)
-5x = 22 (divide both sides)
x = -22/5
Answer: 0.07
Step-by-step explanation: Since it is a binomial experiment , we will use the formula:
n C r
p = 0.35
q = 1 - 0.35 = 0.65
n is the number of trials = 7
r = 3
substituting into the formula, we have
7 C 3 (
= 35(
=0.0736
to the nearest tenth
= 0.07
Answer:
y = 312x + 2
Step-by-step explanation:
According to y = mx + b, m stands for slope and b stands for y-intercept. Let us find the y-intercept. To find the y-intercept, the x should be zero in (x, y).
(x, y)
(0, 2) ---> y-intercept (b)
Now that we have found the y-intercept, we will now find the slope by using its formula.
Slope formula:-
m = y2 - y1 / x2 - x1
Pick two random (x, y). I will pick the first and last pairs.
(0, 2) and (4, 1250)
Now plug these two pairs in the formula.
m = y2 - y1 / x2 - x1
m = 1250 - 2 / 4 - 0
m = 1248 / 4
m = 312
This means that the slope (m) is 312. Now put that in y = mx + b form.
y = mx + b
y = 312x + 2
Both of the forms are the same. Hope this helps, thank you :) !!
Using the Pythagorean theorem, we can calculate the apothem of the pentagon.
We have then:
Then, the area of the pentagon is given by:
Where,
L: side of the pentagon
a: apotema
Substituting values:
Rounding the nearest whole we have:
Answer:
the approximate area of the regular pentagon is: