0.92085175 radians
Let's first calculate the length of the diagonal of the base. Using the Pythagorean theorem:
b = sqrt(9^2 + 7^2) = sqrt(81 + 49) = sqrt(130) = 11.40175425
Now the length of the diagonal to the box. Once again, using the Pythagorean theorem:
d = sqrt(15^2 + 11.40175425^2) = sqrt(225 + 130) = sqrt(335) = 18.84144368
We now have a right triangle where we know the lengths of all three sides. The lengths are:
a = 15
b = sqrt(130) ≠11.40175425
c = sqrt(335) ≠18.84144368
we want the angle opposite to side a. So
tan(A) = 15/11.40175425 = 1.315587029
A = atan(1.315587029)
A = 0.92085175 radians
Answer:
the answer is bc you go over negative two and up five (-2,5)
Step-by-step explanation:
The sample space is the list of possible combinations:
H1, H2, H3, H4, T1, T2, T3, T4
Combinations that include a 2 are:
H2, T2
Answer:
Step-by-step explanation:
In this binomial probability case, the success is to pick a burrito with hot peppers, there are 7 out of 17, the probability is p=7/17=0.4118. The formula is
Where n is the number of burritos taken at random, k is the number of success (burrito with hot peppers), p is the probability of success. 
denotes the number of combinations and its formula is:
At least two burritos have hot peppers means having two or three burritos, these two cases are calculated and sum to get the probability of at least two burritos that have hot peppers.
Round to three decimal places: P=0.369
Answer:
Step-by-step explanation:
9x^2 + 24x + 16 = 0
(3x + 4)(3x+4)=0
3x + 4 = 0
3x = -4
x = -4/3
3x + 4 = 0
3x = -4
x = -4/3
