Answer:
26
75
37
82
145
34
Step-by-step explanation:
Hypotenuse of a right angle triangle from pythagoras theorem is given by
h²=b²+a²
Making h the subject
h=√(b²+a²)
Where h is hypotenuse, b is base and a is the other side of a triangle
10²+24²=676
√676=26 units
72²+21²=5625
√5625=75 units
12²+35²=1369
√1369=37 units
18²+80²=6724
√6724=82 units
105²+100²=21025
√21025=145 units
16²+30²=1156
√1156=34 units
Answer:
b. cosine t less than 0 and cotangent t greater than 0
Step-by-step explanation:
We have the following relation

if we apply the cosine function in the relation we get:


the cosine of t is between 0 and -1 then (cosine t less than 0)
If we now apply cotangent function in the relation:


This means that cotang is greater than 0, therefore the correct answer is b. cosine t less than 0 and cotangent t greater than 0
Answer:
1: Reflect M across the x-axis
2: Dilate about the center by 3/2
Step-by-step explanation:
Given
See attachment for M and N
Required
Which maps M to N
The coordinates of the radius of the circles are:


And the radius of circles are:


The first transformation from M to M' is:
- Reflect across the x-axis
The rule is:


<em>At this point, M' and N now have the same center but different radius.</em>
The second transformation from M' to N is:
- Dilate about the center by dividing the radius of N by the radius of M
i.e.


<em>At this point, M has been completely mapped to N.</em>
Question four should be -7, question five should be 99, and question six should be 56.
Answer:
y-axis
Step-by-step explanation:
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