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SashulF [63]
2 years ago
5

A car is traveling at a rate of 72 kilometers per hour. What is the car's rate in meters per second? How many meters will the ca

r travel in 15 seconds? Do not round your answers.
Mathematics
1 answer:
Korolek [52]2 years ago
8 0
72 Kilometers = 72000 meters

1 hour = 3600 seconds

So if 72000m = 3600 secs
To find 1 sec, divide through by 3600
20m = 1 sec
To find the distance travelled in 15 secs we multiply by 15
300m = 20 secs
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A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are th
Zolol [24]

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

0.05n+0.25q=2.85    ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

n=q+3   ................(2)

Plug in the value of 'n' from (2) in (1)

0.05(q+3)+0.25q=2.85

= 0.05q+0.15+0.25q=2.85

0.30q=2.70

q=9

As n=q+3 we get, n=9+3=12

Hence, there are 12 nickels and 9 quarters.

3 0
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3 0
3 years ago
The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each
MakcuM [25]
The perimeter = 4 * length of a semicircle of radius 5 == 4*  pi * 5 =  20 pi cm



The area of one of the clear parts = 1/2 area of square - area semicircle

= 1/2 * 10^2  -  1/2 pi *5^2 = 50 - 12.5pi 

So area of shaded parts =  area of square -  4 (50 - 12.5pi)
 = 100 - 200 + 100pi = (100pi - 100) cm^2 
6 0
3 years ago
The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm
Fed [463]

Answer:

Length = 15 cm, width = 12 cm, Perimeter = 54 cm

Step-by-step explanation:

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².

Length = 5x

Breadth = 4x

Area of rectagle,

A = bl

180 = 5x × 4x

180 = 20x²

x² = 9

x = 3

Length = 5x = 5(3) = 15 cm

Width = 4x = 4(3) = 12 cm

Perimeter of rectangel,

P = 2(l+b)

= 2(15+12)

= 54 cm

Hence, this is the required solution.

6 0
2 years ago
Find the value of x inscribed angles
Rudik [331]

Answer:

x = 84°

y = 96°

Step-by-step explanation:

By tangent secant theorem:

x =  \frac{1}{2}  \times 168 \degree \\  \\ x =84 \degree \\  \\y =  \frac{1}{2}  \times (360 - 168) \degree \\  \\ y =  \frac{1}{2}  \times 192 \degree \\  \\ y =  96 \degree

5 0
2 years ago
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