Answer:
3−2
Step-by-step explanation:
I think it would be; maximum 25, minimum -15
Answer:
an = 40 -7(n -1)
Step-by-step explanation:
The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:
an = a1 +d(n -1)
__
The first term of the given sequence is ...
a1 = 40
The common difference for this sequence is ...
d = 33 -40 = -7
Using these values in the equation for the n-th term, we have ...
an = 40 -7(n -1) . . . . . explicit formula for the n-th term
Given:
In triangle XYZ, x = 27 cm, y = 79 cm and .
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
Putting the given values in the above formula, we get
Taking square root on both sides.
Approx the above value to the nearest number and side length cannot be negative. So,
Therefore, the length of z is about 102 cm.
Answer:
60° : 75° : 120° : 105°
Step-by-step explanation:
I like to work these by considering the relationship between a "ratio unit" and the angle it represents. Here, the sum of ratio units is 4+5+8+7 = 24. The sum of angles in a quadrilateral is 360°, so each ratio unit must stand for ...
360°/24 = 15°
Multiplying the ratio units by this value, we find the angles to be ...
(4 : 5 : 8 : 7) × 15° = 60° : 75° : 120° : 105°