Answer:
dilation
Step-by-step explanation:
Answer: 5 is a factor of 15.
15 is a multiple of 3.
Step-by-step explanation:
A Factor, is a number that can divide another number without a remainder. For example, 5 is a factor of 15 ad it can divide 15 evenly.
A multiple is simply a times table. For example, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21 ......
Therefore, the correct option from the answers given are:
5 is a factor of 15.
15 is a multiple of 3.
Answer: x = 9.6
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Explanation:
We have two smaller right triangles that are glued together so to speak.
The base of the smaller triangle on the left is 5 while the height is h.
Let's use the tangent rule to find the value of h
tan(angle) = opposite/adjacent
tan(55) = h/5
5*tan(55) = h
h = 5*tan(55)
h = 7.14074003371058
Make sure your calculator is in degree mode. That value of h above is approximate.
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Now focus on the smaller triangle on the right
It has the same height value h. This side is the adjacent side while x is the hypotenuse.
We'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(42) = h/x
cos(42) = 7.14074003371058/x
x*cos(42) = 7.14074003371058
x = 7.14074003371058/cos(42)
x = 9.6088135029715
x = 9.6
14 and 15 have no common factor except ' 1 ' ,
so the fraction 14/15 can't be simplified.
It's already in the simplest available form ("lowest terms").
Answer: 1024
Step-by-step explanation:
30+2 * 30+2
32 * 32
1024
