Answer:
Area of equilateral triangle = 81√3 cm²
Step-by-step explanation:
Given:
Perimeter of an equilateral triangle = 54 cm
Find:
Area of equilateral triangle
Computation:
Perimeter of an equilateral triangle = 3 x Side
54 = 3 x Side
Side of equilateral triangle = 54 / 3
Side of equilateral triangle = 18 cm
Area of equilateral triangle = [√3/4]side²
Area of equilateral triangle = [√3/4][18]²
Area of equilateral triangle = [√3/4][324]
Area of equilateral triangle = [√3][81]
Area of equilateral triangle = 81√3 cm²
The probability of not surviving a head-on car accident is: 0.903
Step-by-step explanation:
The probabilities of occurrence and non-occurrence of an event add up to one.
If p is the probability that an even will happen and q is the probability that it will not happen
Then

Here,
Probability of surviving = p = 0.097
Probability of not surviving = q = ?

The probability of not surviving a head-on car accident is: 0.903
Keywords: Probability, Inverse
Learn more about probability at:
#LearnwithBrainly
Answer:
$4.72
Step-by-step explanation:
16.79+28.49=45.28
50-45.28=4.72
Answer:
First find the sum of 3/8 and -5/12
That is
3/8 - 5/12
First find the common denominator
The common denominator is 24
We get
3/8 - 5/12 = 3(3) - 5(2) / 24
= 9 - 10 / 24
= - 1 / 24
Next find the product of 16/27 x(-15)/8
That's
16/27 × -15/8
= -10/9
Next reverse -10/9
Which is -9/10
Next we divide it by = -1 /24
so we get
-1/24 ÷ -9/10
Change the sign to (×) and reverse the second fraction
We get
-1/24 × -10/9
= 5 / 108
Hope this helps
The function
f(x) is even
g(x) is neither even nor odd
h(x) is odd
Steps:
for an even function it holds that f(-x) = f(x):
f(-x) = (-1)^6 x^6 - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even
for an odd h(x) it holds that h(-x) = -h(x):

It is easy to show that g(x) does not match any of the two possibilities above.