Answer:
The volume of the rectangular prism is
.
Step-by-step explanation:
18 * 12 * 16 = 
Answer:
Step-by-step explanation:
binomial distritubtion
mean= n*p
.23*300= 69
variance= n*p*(1-p)
.23*300*(1-.23)=53.1
standard deviation= sqrt(variance)
sqrt(53.13)= 7.3
Answer:
sin x = 3/5
cos y = 3/5
sin x and cos y are equal
Step-by-step explanation:
First we need to find the length of the hypotenuse
We can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 +8^2 = c^2
36+64 = c^2
100 = c^2
Taking the square root
sqrt(100) = sqrt(c^2)
10 = c
The hypotenuse is 10
Since this is a right triangle we can use trig functions
sin x = opp side/ hypotenuse
sin x = 6/10 = 3/5
cos y = adj / hypotenuse
cos y = 6/10 = 3/5
sin x and cos y are equal
Answer:
★ The answer is $5
Step-by-step explanation:
Hope you have a great day
Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):

Multiply both sides by 1.6:

This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:

The length of side AC, the hypotenuse, is 4 inches.