ANSWER: $66.30
WORK:
to find 15% off, multiply by 0.15.
78 x 0.15 = 11.7
note: this is the percent off, so it's subtracted to find the sale price.
78 - 11.70 = 66.3
Well knowing these are both obtuse angles of the same shape and size we can begin. were looking to show AC is equal to DF we start by connecting A to C. A goes to C and makes this half an Oval shape along the bottom line now try connecting A to B and C to B AB and CB are not the same as AC and since these angles are the same shape and size we know DF should do the same so now we connect D to E and F to E similar to AC they do not match nor do they match AC itself leaving us to compare D to F after we do this we see that it creates the same sized half an oval as AC showing us that they are equal. :)
Answer:
Width = 4 cm
Step-by-step explanation:
The formula for area of a rectangle is length x width. You have the length (10), leaving you with this equation.
10 x ? = 40
Solve for x, or in other words, divide 40 by 10. This gives you 4. This means that 10 x 4 equals 40 cm^2
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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This question is incomplete because the options are missing. Here are the options:
A. - 4 = 5x
B. -4 = x
C. -4 + x = 0
D. -4 + 5x = 0
The correct next line of the solution is A. -4 = 5x
An equation is:
- A mathematical expression that represents mathematical equality between two expressions.
- It has two expressions and is separated by the equal sign, called members.
- It has known elements and unknown or unknown data represented with letters like x
According to the above, it can be inferred that the correct answer is option A. because it expresses the correct values according to the operations that have been carried out in the previous lines.
Learn more in: brainly.com/question/10413253
