Suppose there are 15 different color crayons in a box. Each time one obtains a crayon, it is equally likely to be any of the 15
1 answer:
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The required function -
The parent function is translated to the right 2 units.
We have to find which absolute value function has a graph that is wider than the parent function.
The parent function
with the vertex (0,0)
The parent function is translated to the right 2 units.
Transformation to the right,
f(x)→f(x-b) , the graph of f(x) is shifted towards right by b unit.
Same as the graph f(x) is shifted towards the right by 2 units and forms a graph of h(x).
If the graph is wider than the parent function then the function must be in the form of,
Where the value of k must be less than or equal to 1. If k is more than 1 then the graph is compressed.
So, let it be k=1
Therefore, The required absolute value function is,
We plot the graph of both the equations in which translation is shown.
Refer to the attached graph below.
To learn more about the function visit:
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Answer:
123.46 or 42.28
Step-by-step explanation:
Assuming that b is the leg side of a triangle and that c is the hypotenuse, we can solve for c using SOHCAHTOA.
We can find the angle from the equation sin X = 0.3240.
X = 0.3240
X = ...
Through SOHCAHTOA, we know that we should use either sin X = or that cos X =
.
I'm going to assume that we use sin X = since we are given a length b and not a length a. So:
sin 18.9050 =
c = = 123.46
If we use cos X = , then:
cos 18.9050 =
c = = 42.28
Not sure which one is correct since we are not given a picture of the sides.
Answer:
AC ≈ 17.3 , BC ≈ 5.3
Step-by-step explanation:
using the tangent ratio in right triangle ACD
tan51° = =
=
( multiply both sides by 14 )
14 × tan51° = AC , then
AC ≈ 17.3 ( to the nearest tenth )
using the cosine ratio in right triangle ABC
cos72° = =
=
( multiply both sides by 17.3 )
17.3 × cos72° = BC , then
BC ≈ 5.3 ( to the nearest tenth )