Answer:
x=6
Step-by-step explanation:
Hypotenuse is 10 because it is the opposite of the right angle
8^2+x^2=10^2
64+x^2=100
x^2=36
x=6
Given:
The number of male professors = 15.
The number of female professors = 9.
The number of male teaching assistants = 6.
The number of female teaching assistants = 12.
A person is selected randomly from the group.
Required:
We need to find the probability that the selected person is a professor or a male.
Explanation:
The total number of people in the group = 15+9+6+12 = 42
n(S) =The total number of people in the group
Let A be the event that the selected person is a professor or a male.
The number of people who are professors or male = 15+9+6 = 30
n(A)= The number of people who are professors or male.
Let P(A) be the probability that the selected person is a professor or a male.
Final answer:
The probability that the selected person is a professor or a male is 5/7.
Solution,
We have,
Width of rectangle, b = (2.5u+9.8) cm
Length of rectangle, l = (1.5u+3.9) cm
We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:
Perimeter = 2(l+b)
P = 2[(2.5u+9.8)+(1.5u+3.9)]
Collecting like terms
P = 2[(2.5u+1.5u)+(9.8+3.9)]
P=2(4u+13.7)
⇒ P = 8u+27.4
So, the expression for the perimeter of the rectangle is (8u+27.4) cm.
Actually Welcome to the Concept of the Angles,.
Since,the AE is a angle bisector, hence, BAE = EAC simply.
hence we equate them..
===> x+ 30 = 3x - 10
==> 3x - x = 30 + 10
==> 2x = 40
==> x = 20°
hence the major angle EAC = 3(20)-10 = 60-10 = 50°
hence, angle EAC = 50°
The answer is 30 cubic inches.
If <span>5 chocolate candies are in 1 cubic inch, 150 </span><span>chocolate candies will be in x cubic inches:
</span>5 chocolate candies : 1 cubic inch = 150 chocolate candies : x<span> cubic inches
</span>5 : 1 = 150 : x
5 = 150 : x
x = 150 : 5
x = 30
So, if <span>150 chocolate candies are in a jar, the volume of the jar is 30 cubic inches.</span>
