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SIZIF [17.4K]
2 years ago
15

An athlete completes one round of a circular track of diameter 200 m in 40 s what will be the distance covered and displacement

at the end of 2 min 20s
Mathematics
1 answer:
Cloud [144]2 years ago
7 0

Answer:

700π m ~ 2199 m

Step-by-step explanation:

diameter = d = 200 m

2 min 20s = 140 s

1 round / 40 s

140 = 40 * 3 + 20

so the athlete will cover 3 round and half

1 round = d * π

covered = c = 3 * 200 * π + 200/2 * π = 700 * π

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An equation that passes through (0, -2/3) and (-3, -2/3)
9966 [12]

Answer:

y = 0x - 2/3

Step-by-step explanation:

We are asked to find the equation of the line

Step1: find the slope

( 0 , -2/3) ( 3 , -2/3)

m = (y_2 - y_1 )/ (x_2 - x_1)

x_1 = 0

y_1 = -2/3

x_2 = 3

y_2 = -2/3

Insert the values into the equation

m =( -2/3 - (-2/3) / (3 - 0)

= -2/3 + 2/3 / 3

= 0 / 3

m = 0

Step 2: sub m into the equation

y = mx + c

y = 0x + c

Step 3: sub any of the two points given into the eqn

y = 0x + c

Let's pick ( 3 , -2/3)

x = 3

y = -2/3

-2/3 = 0(3) + c

-2/3 = 0 + c

c = -2/3

Step4: sub c into the equation

y = mx + c

y = 0x + c

y = 0x - 2/3

Therefore, the equation of the line is

y = 0x - 2/3

8 0
3 years ago
Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet. The edge le
GarryVolchara [31]

Answer:

Volume of one cube shaped block is, 0.125 cubic feet

Step-by-step explanation:

Volume of a cube(V) is given by:

V = a^3                 .....[1]

where a is the edge length of the cube.

As per the statement:

Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet.

⇒\text{Edge length of storage} = 2\frac{1}{2} = 2.5 ft

It is also given that:

The edge length of each block is 1/5 the edge length of the storage container

⇒\text{Edge length of each block (a)} = \frac{1}{5} \cdot 2.5 = 0.5 ft

Substitute this in [1] we have;

V = (0.5)^3 = 0.125 ft^3

Therefore,  volume, in cubic feet, of one cube-shaped block is, 0.125

4 0
3 years ago
F(x )=x square +6x + 5 what is the x intercept to graph f(x)
siniylev [52]

Answer:

(-5, 0)

(-1, 0)

Step-by-step explanation:

x-intercepts are points where the graph intersects the x-axis (or when y = 0)

Step 1: Write out function

f(x) = x² + 6x + 5

Step 2: Factor

f(x) = (x + 5)(x + 1)

Step 3: Find binomial roots

x + 5 = 0

x = -5

x + 1 = 0

x = -1

Alternatively, you can graph the function and analyze the graph for x-intercepts:

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3 years ago
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2 x 1 - 2 + 4 x -1 =

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