Answer:
Hi there I was just working on this question on UsaTestPrep and idk if the answer is really correct but here: C: reflection then rotation.
Step-by-step explanation:
Extra Info:
Dilation is when the shape changes in size, which doesn't happen.
Translation is when it just moves across. It may look like that is happening here, but I'll explain.
The triangle is first reflected along the line . Imaging putting a mirror on the x=0 line (the y axis, basically), and you'd see 1 to 2.
Then, it is rotated around the point . Get a bit of tracing paper, draw over 2, and then, holding the tracing paper down at (works well with a pencil), rotate it round and you will find it fits perfectly over 3.
Also is this the diagram?
Based on the information, Christian would have $5525.5 of annuity.
<h3>How to calculate the annuity?</h3>
According to given information, the number of coffees per week is 3 then, per month is 3x4 = 12
For each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of annuity.
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Answer:
C: {−5, 1)
Step-by-step explanation:
Starting with −2|−2x−4|=−12, divide both sides by -2:
|−2x−4| = 6
Reduce this by dividing all terms by 2:
|-x - 2| = 3
This is equivalent to x + 2 = 3 and x + 2 = - 3
Solving thse two equations, we get x = 1 and x = -5
And so the solution set is C: {−5, 1)
ANSWER:
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
HOPE IT HELPS
#<em>C</em><em>A</em><em>R</em><em>R</em><em>Y</em><em>O</em><em>N</em><em>L</em><em>E</em><em>A</em><em>R</em><em>N</em><em>I</em><em>N</em><em>G</em>
Answer:
2:3
Step-by-step explanation:
Simply divide each by 10
20/10=2
30/10=3
and your ratio is 2:3
