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Rudik [331]
3 years ago
15

Alexa is buying lace to sew around the edge of a round tablecloth. The radius of the tablecloth is 2 3/4 feet. If lace is sold b

y the yard, what's the smallest number of whole yards she can buy to have enough lace for the tablecloth?
Mathematics
1 answer:
sergey [27]3 years ago
3 0
To find the circumference of a circle the formula is pi times diameter. The radius is half the diameter, so you have to find the diameter by multiplying 2.75 by 2. you get 5.5. Pi is around 3.14, so 5.5 times 3.14 is 17.27. Because you have to convert feet to yards, divide 17.27 by 3 (there are 3 feet in a yard). You get around 5.76. Because if Alexa bought only five meters of lace, she will run short, she needs to buy 6 meters of lace.
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algol13

Answer:

144

Step-by-step explanation:

x^2+24x=17

b=24

(b/2)^2=(24/2)^2=12^2=144

7 0
4 years ago
Given: △RST ~ △VWX
tatiyna

Answer:

Given

Step-by-step explanation:

Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.

Comparing △RST and △VWX;

TU ~ XY (given altitudes of the triangles)

<TUS = <XYW (all right angles are congruent)

<UTS ≅ <YXW (angle property of similar triangles)

Thus;

ΔTUS ≅ ΔXYW (congruent property of similar triangles)

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Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX

So that:

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4 0
3 years ago
Rectangle PQRS with vertices P(- 6, 9) , Q(3, 6); R(0, - 9) and S(- 9, - 6)
STatiana [176]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
HELP!!!
NikAS [45]
Answer:

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Explanation:

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7 0
3 years ago
Read 2 more answers
A swimming pool at a park measures 9.75 meters by 7.2 meters.
neonofarm [45]

Answer:

Part a) The area of the swimming pool is 70.2\ m^2

Part b) The total area of the swimming pool and the playground is 105.3\ m^2

Step-by-step explanation:

Part a) Find the area of the swimming pool

we know that

The area of the swimming pool is

A=LW

where

L is the length side

W is the width side

we have

L=9.75\ m\\W=7.2\ m

substitute the values

A=(9.75)(7.2)

A=70.2\ m^2

therefore

The area of the swimming pool is 70.2\ m^2

Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground

we know that

To obtain the area of the playground multiply the area of the swimming pool by one and a half

\frac{1}{2}(70.2)=35.1\ m^2

To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground

so

70.2\ m^2+35.1\ m^2=105.3\ m^2

therefore

The total area of the swimming pool and the playground is 105.3\ m^2

6 0
3 years ago
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