Step-by-step explanation:
the answer is coming 4,-8
in ur options it is not given...
The shortest distance between the tip of the cone and its rim exits 51.11cm.
<h3>
What is the shortest distance between the tip of the cone and its rim?</h3>
If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.
Cos 38.5 = 40 / x
Solving the value of x, we get
Multiply both sides by x
Divide both sides by 
simplifying the above equation, we get
x = 51.11cm
The shortest distance between the tip of the cone and its rim exits 51.11cm.
To learn more about right triangles refer to:
brainly.com/question/12111621
#SPJ9
Answer:
2100
Step-by-step explanation:
In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?
First, you need to choose 4 people to fill the first group.
The number of ways is (104) which equals to 210.
Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.
However, we need to divide it by 2, since we don’t really care on the order of selection of group.
(63)(33)/2=10
So, there are 210 x 10 = 2100 ways
Answer:
The answer is A. ( x-3/x-6 x X^3 + 5/x+1 ) is rational because it is a product of rational expressions since rational expressions are closed under multiplication.
Step-by-step explanation:
The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
The probability associated with a z-score of 0.1 is 0.5398
Thus the probability that the monthly payment is more than $1000 will be:
P(x<1000)=1-0.5398=0.4602=46.02%
