Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:
Solve for x:
So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):
Solve for x:
So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
Answer:
0.1587
Step-by-step explanation:
Given the following :
Mean (m) of distribution = 64 inches
Standard deviation (sd) of distribution = 2 inches
Probability that a randomly selected woman is taller than 66 inches
For a normal distribution :
Z - score = (x - mean) / standard deviation
Where x = 66
P(X > 66) = P( Z > (66 - 64) / 2)
P(X > 66) = P(Z > (2 /2)
P(X > 66) = P(Z > 1)
P(Z > 1) = 1 - P(Z ≤ 1)
P(Z ≤ 1) = 0.8413 ( from z distribution table)
1 - P(Z ≤ 1) = 1 - 0.8413
= 0.1587
Answer:
Step-by-step explanation:
Given that,
The base of a triangle = 2 km
The perpendicular height of the triangle = 
We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :
So, the value of x is equal to 
.
Answer:
68
Step-by-step explanation:
all explanation you need in the page above
brainliest please
Answer:
506.25
Step-by-step explanation:
Month 1: $100
Month 2: 100 times 1.5 = 150
Month 3: 150 times 1.5 = 225
Month 4: 225 times 1.5 = 337.50
Month 5: 337.50 times 1.5 = 506.25
