Answer:
5 6/7
Step-by-step explanation:
107×4110=?
10
7
×
41
10
=
?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
10×417×10=41070
10
×
41
7
×
10
=
410
70
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 410 and 70 using
GCF(410,70) = 10
410÷1070÷10=417
410
÷
10
70
÷
10
=
41
7
The fraction
417
41
7
is the same as
41÷7
41
÷
7
Convert to a mixed number using
long division for 41 ÷ 7 = 5R6, so
417=567
41
7
=
5
6
7
Therefore:
107×4110=567
The transformations that can occur to the graph of the function y = cos x that will exhibit changes would be changes to the angle, or changes to the coefficient. The transformations can be viewed as follows:
y = cos x transforms to y = cos (kx)
k > 1 ; a horizontal shrink occurs
0 < k < 1 ; a horizontal stretch occurs
y = cos x transforms to y = A cos x
|A| > 1 ; a vertical stretch occurs
|A| < 1 ; a vertical shrink occurs
Answer: 1) c 2) a 3) d
<u>Step-by-step explanation:</u>
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Reference angle is the angle measurement from the x-axis. <em>There is no such thing as a negative reference angle.</em>
-183° is 3° from the x-axis so the reference angle is
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Coterminal means the same angle location after one or more<em> </em>rotations either clockwise or counter-clockwise.
To find these angles, add <em>or subtract</em> 360° from the given angle to find one rotation, add <em>or subtract</em> 2(360°) from the given angle to find two rotations, etc.
To find ALL of the coterminals, add <em>or subtract</em> 360° as many times as the number of rotations. Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.
Given: 203°
Coterminal angles: 203° ± k360°, k ∈ <em>I</em>
<em />
<em />
<em />
Answer:
12.5
Step-by-step explanation:
y varies inversely as x.
y = k/x
10 = k/20
200 = k
The constant proportion k is 200.
16 = 200/x
Cross multiply.
200 = 16x
200/16 = x
x = 12.5
Answer:third option did test got it right
Step-by-step explanation: