Which number has the smallest value
2 answers:
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Answer:
B
Step-by-step explanation:
So, to figure this out, we must find the total miles Maria ran in a week.
We know that she ran 2.75 miles each day.
She did this for 7 days.
Her goal was 17.5 miles.
So first, multiply the amount of days by the amount of miles per day:
7*2.75
=
19.25
So now we know that she ran a total of 19.25 miles in a week.
Since she onlu needed to run 17.5 miles, we can instantly rule out:
A - Runs less 17.5 miles
C - Runs exactly 17.5 miles
This leaves:
B - She runs 1.75 miles more than 17.5 miles
D - She runs 2.75 miles more than 17.5 miles
To figure out which on is correct, subtract her total miles by her goal:
19.25-17.5
=
1.75
So we know it must be:
B - She runs 1.75 miles more than 17.5 miles
This is because we figured out she ran an extra 1.75 miles.
Hope this helps! :)
Answer:
1) 51
2) 0.8
3) cosecant
Step-by-step explanation:
Question 1
The image for this scenario is attached below. Note that base of the television tower forms the side adjacent to the angle and the length of the tower forms the side opposite to the angle. The two angles marked in image are equal because of the property of Alternate Interior Angles.
So,
Adjacent side = 120 feet
Opposite side = 150 feet
Tangent of an angle is defined as:
Using the values, we get:
Rounded to the nearest degree, the angle of depression would be 51 degrees.
Question 2)
We have to find the cosine of angle Z. cos is defined as:
The side adjacent to angle Z is 24 and the hypotenuse is 30. So cos(Z) would be:
Therefore, value of cos(Z) for given triangle would be 0.8
Question 3
The opposite of sine ratio is known as cosecant which is abbreviated as csc
Since it is the opposite of sine ratio, it would be calculated as:
sine of angle is the ratio of opposite and hypotenuse, so csc would be ratio of hypotenuse to opposite side i.e.
