Answer:
Below.
Step-by-step explanation:
Finding the hypotenuse:
Recall the formula of Pythagoras'theorem,
- (Hypotenuse)² = (Base)² + (Perpendicular)²
Given that base = 8 and perpendicular = 15
Plugging the values,we obtain
- H² = 8² + (15)²
- H² = 64 + 225
- H² = 289
- H = √(17*17)
- H = 17
Now applying trigonometric functions:
Recall SOHCAHTOA , it's very helpful.
Sin θ = Sin A = Opposite/Hypotenuse
cos θ = cos A = Adjacent/Hypotenuse
Tan θ = tan A = Opposite/Adjacent
Note: The values in decimal are rounded to nearest hundredth.
Answer:
37 degrees
Step-by-step explanation:
As XW and YZ are parallel lines, you can use the co-interior angle rule to solve for x.
This is when you see a C-shape between parallel lines. The rule states that the sum of these two co-interior angles is 180 degrees.
Therefore,
⇒ 
⇒ 
[collect like terms of x]
⇒ 
[add 5 to both sides]
⇒ 
[divide both sides by 5]
Hope this helps! :D
Answer:
10a: △ABC is an Equilateral triangle with all acute angles.
10b: △BCD is A scalene triangle with all acute angles.
10c: △BDE is An Isosceles triangle with one obtuse angle.
Step-by-step explanation:
10) Looking at the diagram at the bottom left;
- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.
Thus, we can classify it as; Equilateral triangle with all acute angles.
- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.
We can classify it as;
A scalene triangle with all acute angles
- △BDE has 2 equal angles and one angle greater than 90°. This means it has 2 equal sides.
Thus, we can classify it as;
- An Isosceles triangle with one obtuse angle.
Answer:
9/40
Step-by-step explanation:
3/5 * 3/8 = 9/40
Answer:
A. .1469
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The Probability that a randomly selected marketing major from the class of '07 received a starting salary offer greater than $41,950 is
This is 1 subtracted by the pvalue of Z when X = 41950. So
has a pvalue of 0.8531
1 - 0.8531 = 0.1469
So the correct answer is:
A. .1469
