Answer:
The retail price of the couch is $ 201.25.
Step-by-step explanation:
Given, the wholesale price of the couch = $ 115,
Marked up rate = 75 %,
So, the total marked up = 75 % of wholesale price
= 75 % of $ 115
Hence, the retail price of the couch = The wholesale price + Total marked up
= $ 115 + $ 86.25
= $ 201.25
What is m angle BCP
Answer:
Measure of ∠BCP is 36°
Step-by-step explanation:
Given the circle in which measure of arc BC is 72°
we have to find the measure of angle BCP.
m∠BOC=∠2=72°
By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.
∴ ∠2=2∠1 ⇒ 72=2∠1
⇒ ∠1=36°
By alternate segment theorem which states that
The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.
⇒ ∠3=∠1=36°
Hence, measure of ∠BCP is 36°
Option D is correct
11/2____1
So, 30 is the perimeter. We are told the table is twice as long as it is wide.
So, we have think of 2 numbers, one being twice as big than the other. So, it is a rectangle The two number represents the length and the width. To find the perimeter we add all the lengths and the widths. Since the pool table is a rectangle we have two lengths and two widths.
So,
the tow numbers be 10 and 5. 5 is half of 10 and, when multiplied by 2 it is 10. So just to make sure the numbers 5 and 10 work out lets do a calculation.
So,
10+5+10+5 = 30feet. This proves that the sides are these two numbers.
In this Mathematics problem, you're searching for two numbers that, when multiplied, equal 3969 and, when added, equal 126. By factoring 3969, we find that the numbers 63 and 63 meet both criteria.
This Mathematics problem falls under factoring in Algebra. You are trying to find two numbers that multiply to 3969 (the product) and add up to 126 (the sum). The numbers you're looking for are 63 and 63. Let's see why.
First, factor 3969. The factors of 3969 are 1, 3, 9, 27, 81, 147, 441, 1323, and 3969. Looking at these factors, we see that only 63 and 63 multiply together to give 3969.
Now, check if they also add up to 126. Indeed, 63 + 63 equals 126, confirming that these are the two numbers you're looking for.
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