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olga55 [171]
2 years ago
15

The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 15 minutes is

Mathematics
1 answer:
____ [38]2 years ago
8 0

Answer:

c

Step-by-step explanation:

In 60 minutes, minute hand completes 360

0

 i.e., one rotation.

⇒ in 1 minute, minute hands completes  

60

360

∘

​

=6

∘

 

Hence, in 5 minutes the angle covered is is 6×5=30

o

.

The angle of sector formed is 30

o

.

The area swept by the minute hand in 5 minutes=

360

30

​

×π×14×14

Using π=

7

22

​

, we get

The area swept by the minute hand in 5 minutes =

3

154

​

 sq. cm

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Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house. The length
podryga [215]

Answer:

The length of the patio is 32 ft and the width is 13 ft

Step-by-step explanation:

see the attached figure to better understand the problem

Let

L ----> the length of his patio

W ---> the width of his patio

we know that

L+2W=58 ----> equation A

L=2W+6 ----> equation B

substitute equation B in equation A and solve for W

2W+6+2W=58

4W+6=58

4W=58-6

4W=52

W=13\ ft

Find the value of L

L=2W+6  ----> L=2(13)+6=32\ ft

therefore

The length of the patio is 32 ft and the width is 13 ft

3 0
3 years ago
Hhhheeeeellllllpppp no 13 and 14​
laila [671]

Answer:

13. B. 24 cm²

14. y = 5⅝ (none of the options is correct)

Step-by-step explanation:

13. The figure is a trapezoid

Area of the trapezoid = ½(a + b)h

Where,

a = 3 cm

b = 5 cm

h = 6 cm

Area = ½(3 + 5)6

= ½(8)6

= 4*6

= 24 cm²

14. Area of the triangle = ½*b*h

The area is given to be 45 cm²

base (b) = 16 cm

height (h) = y

Plug in the values and solve for y

45 = ½*16*y

45 = 8y

Divide both sides by 8

45/8 = 8y/8

45/8 = y

5⅝ = y

y = 5⅝ (none of the options is correct)

5 0
2 years ago
Can someone please help me with this ASAP‼️ Thank You
AVprozaik [17]

Let x = cost of the dishwasher.

The amounts the children are paying are:

Mark =20% = 1/5, so  1/5x

Sorin = 75

Raymond = 1/4x

Stephanie = 75

Kristin = 1/3x

Add them together:

x = 1/5x + 1/4x + 1/3x + 75 + 75

x - ( 1/5x + 1/4x + 1/3x ) = 150

Rewrite fractions with common denominator:

x - ( 12/60x + 15/60x + 20/60x ) = 150

60/60x - 47/60x = 150

13/60x = 150

x = 150/1 • 60/13

x = 9000/13

x = 692.31

The total cost of the dishwasher is $692.31

Now calculate the amount each child pays:

Mark = 1/5 x = 692.31/ 5 = $138.46

Sorin = $75.00

Raymond = 1/4 x = 692.31 / 4 = $173.08

Stephanie = $75.00

Kristin =  1/3 x = 692.31 / 3 = $230.77

5 0
3 years ago
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Anon25 [30]

Answer: Kingda Ka is a launched roller coaster located at Six Flags Great Adventure in Jackson, New Jersey. Designed by Werner Stengel, Kingda Ka is an Accelerator Coaster model from Intamin that opened as the tallest and fastest roller coaster in the world on May 21, 2005.

Step-by-step explanation:

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2 years ago
Which property is 5+ a = a + 5 ?
zheka24 [161]

Answer:

commutative \: property \: of \: addition \\ thank \: you

6 0
2 years ago
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