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expeople1 [14]
3 years ago
15

Samantha rectangular gift is 10 inches. by 12 inches and is framed with a ribbon. She wants to use the same lengths of ribbon to

frame a circular clock. what is the maximum radius of the circular clock?
Mathematics
1 answer:
vitfil [10]3 years ago
6 0

Answer:

The dimension of the rectangular gift is 10 by 12 inches so let us find the perimeter of this rectangle.

Perimeter of rectangular gift = 2 (L+ W) = 2 (10 +12) = 44 inches

Since we are to use the same length of ribbon to wrap a circular clock so the perimeter or circumference of the clock should be no more than 44 inches.

2πr = 44

r = 44/2π

r = 7.003

Therefore, the maximum radius of the circular clock is 7 inches.

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1. What name is given to the shaded region?
mario62 [17]

Answer:

1.sector 2. chords

Step-by-step explanation:

chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.

3 0
3 years ago
Felicity set the thermostat of her refrigerator to 37°F. The refrigerator temperature t in degrees Fahrenheit h hours after the
kirill115 [55]

Answer:

Period=6

Step-by-step explanation:

Given:

t=1cos(1.05h)+37

Using acos(bx-c)+d to find the period of the given function

amplitude= a

period= 2π/Bb

phase shift=c (positive is to the left)

vertical shift=d

comparing with t=1cos(1.05h)+37, we get

a=1

b=1.05

c=0

d=37

period= 2π/b

          =2π/1.05

          =5.983

          =6

Period of function is 6, after every 6 hours the refrigerator sensor will reach its maximum temperature and the cycle will move towards reducing temperature i.e it'll reach the minimum temperature then again the cycle will move upwards raising the temperature to maximum and so one period will be completed!

5 0
3 years ago
Read 2 more answers
Scott bought a 5lb bag of cookies at the bakery. He ate 2/5 of the bag and his sister ate 2/9 of the bag. What fraction of the b
satela [25.4K]

Answer:  Fraction they both eat = \dfrac{28}{45}.

Fraction of bag remains =  \dfrac{17}{45}

Step-by-step explanation:

Given: Part of cookies eaten by  Scott = \dfrac25

Part of cookies eaten by sister = \dfrac{2}{9}

Fraction they both eat = \dfrac25+\dfrac29=\dfrac{9\times2+5\times2}{5\times9}

=\dfrac{18+10}{45}\\\\=\dfrac{28}{45}

Fraction of the bag remain = 1-\dfrac{28}{45}=\dfrac{45-28}{45}=\dfrac{17}{45}

[Taking fraction of whole bag =1]

Hence, Fraction they both eat = \dfrac{28}{45}.

Fraction of bag remains =  \dfrac{17}{45}

4 0
3 years ago
Anna has let out 50 meters of kite string when she observes that her kite is directly above emily. If anna is 35 meters from emi
zloy xaker [14]
If you draw a picture you can see that the kite, Anna and Emily form a right triangle.

so you can use the pythagorean theorem to find the answer. 

35 ^{2} +  b^{2} = 50^{2}

1,225 + b^{2} = 2,500

b^{2} = 1,275

b = 35.7 meters
3 0
3 years ago
Read 2 more answers
Enya walked 2km 309m from school to the store. Then, she walked from the store to her home. If she walked a total of 5km, how fa
RSB [31]

Answer:

2 km 691 m

Step-by-step explanation:

5 km - 2 km 309 m

= 5000 m - 2309 m

= 2691 m

= 2 km 691 m

7 0
2 years ago
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