Answer:
90.5 degrees
Step-by-step explanation:
The sum of the angle in triangle XYZ is 180 degrees, hence;
m<XYZ + m<YXZ + <XZY = 180
Substitute the given angles
75 + 14.5 + <XZY = 180
89.5+m<XZY = 180
m<XZY = 180 - 89.5
m<XZY = 90.5 degrees
Hence the measure of angle XZY in degrees is 90.5 degrees
Answer:
C. 16
Step-by-step explanation:
240/15
Step one: 10x15= 150
240-150= 90
Partial quotient: 10
Step two: 6x15= 90
90-90= 0
Partial quotient: 6
Step 3: 10+6= 16
Answer check: 240/15= 16
Answer:
B = 61.0
Step-by-step explanation:
Since this is a right angle, we can use trig functions
sin theta = opp side/ hypotenuse
sin B = 7/8
Take the inverse of each side
sin ^-1 ( sin B) = sin ^ -1 (7/8)
B =61.04497563
To the nearest tenth
B = 61.0
The measure of angle J is 19.8°, and the correct option is D.
<h3>What is the formula of cosine?</h3>
The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.
The following formula is used to find the angle j is;
Triangle HIJ has side lengths h=12, i = 17, j = 7.
Substitute all the values in the formula;
Hence, the measure of angle J is 19.8°, and the correct option is D.
Learn more about law cosine here;
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Answer:
459 sales people.
Step-by-step explanation
Time per call (t) = 45 min = 0.75 h
Hours per sales person (H) = 3,400 hours
Number of customers (n) = 40,000 customers
Call frequency (f)= 52 calls per year
The total number of sales people (S) needed, is given by the total time spent on calls for the year, divided by the amount of hours each person spends on sale:
Rounding up to the next whole person, Pringles needs 459 sales people.