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Alexus [3.1K]
3 years ago
15

Mimi needs eleven 18-inch pieces of rhinestone ribbonShe purchased 5 yards of the ribbon shown at the rightWhat is the total amo

unt of ribbon Mimi needs?
Data: $6 per yard, $55 for the whole spool, the whole spool is 10 yards.
Mathematics
1 answer:
GalinKa [24]3 years ago
7 0

Answer:

5.5 yards.

Step-by-step explanation:

We have been given that Mimi needs eleven 18-inch pieces of rhinestone ribbon. She purchased 5 yards of the ribbon. We are asked to find the total amount of ribbon that Mimi needs.

First of all, we will multiply 11 by 18 to find amount of ribbon needed in inches as:

\text{Amount of total ribbon in inches}=11\times 18\text{ inches}

\text{Amount of total ribbon in inches}=198\text{ inches}

We know that 1 yard equal to 36 inches. To convert 198 inches into yards, we will divide 198 by 36 as:

\text{Amount of total ribbon in yards}=198\text{ inches}\times \frac{1\text{ Yard}}{\text{36 inches}}

\text{Amount of total ribbon in yards}=\frac{1\text{19 Yard}}{36}

\text{Amount of total ribbon in yards}=5.5\text{ Yards}

Therefore, the total amount of ribbon that Mimi needs is 5.5 yards.

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Brainliest to most helpful! Answer asap!
kap26 [50]

ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA

The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite

Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent

The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle

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sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
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tanθ = opposite/adjacent = 1/-3 = -1/3

α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
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