9514 1404 393
Answer:
(a) 75.5
Step-by-step explanation:
There are two ways you can work this.
<u>Pythagorean theorem</u>
Triangle CMP is a right triangle. CM = AC = 55. CP = CB -PB = 55 -15 = 40. Then length PM can be found from ...
PM² +CP² = CM²
PM = √(CM² -CP²) = √(55² -40²) = √1425 ≈ 37.749
The length MN is twice the length of PM, so is ...
MN = 2×PM = 2×37.349 = 75.498
The length of MN is about 75.5.
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<u>Using chord relationships</u>
The products of the different lengths for the same chord are the same for the crossed chords.
AP×PB = MP×PN
We know MP = PN, so ...
MP = √(AP×PB) = √((55+40)(15)) = √1425
As before, MN = 2×MP = 2√1425
MN ≈ 75.5
Answer: the total price of the necklace is $91.8
Step-by-step explanation:
The original Price of the necklace at Jared is is $99. It is on sale for 10% off. This means that there is a discount on the original price. The discount is 10/100 × 99 = $9.9
The new price of the necklace at Jared is the original price - the discount. It becomes
99 - 9.9 = $89.1
If there is a 3% tax on the discounted price, the amount of tax would be 3/100×89.1 = $2.673
The total cost of the necklace will be new cost + the amount of tax. It becomes
89.1 + 2.673 = $91.8
Answer:
60
Step-by-step explanation:
12th day because the least common multiple of 4 and 6 is 12
