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3 years ago

38. A football pitch measuring 120m by

Mathematics

1 answer:

labwork [276]3 years ago

6 0

Answer:

Area of the running track = 6900 m²

Step-by-step explanation:

Length of a football pitch = 120 m

Width of the football pitch = 80 m

Area of the football pitch (Inner rectangle) = Length × Width

= 120 × 80

= 9600 m²

If a running track (width = 15 m) is built around the football pitch,

Length of the outer rectangle = 120 + 2×(15)

= 120 + 30

= 150 m

Width of the outer rectangle = 80 + 2×(15)

= 110 m

Area of the outer rectangle = 150 × 110

= 16500 m²

Therefore, area of the track around the football pitch = Outer rectangle - Inner rectangle

= 16500 - 9600

= 6900 m²

Area of the running track = 6900 m²

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Diano4ka-milaya [45]

27 vessels

Step-by-step explanation:

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if 1 cube =1000cm3

? = 27000cm3

27000cm3× 1cube

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3 years ago

Factor the exoression. 36c^2- 25

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

If 5^n x 5^3 = 5^6, then n is _____. A) 18 B) 2 C) 3 D) 9

Eddi Din [679]

<h3>Answer: C) 3</h3>

The rule we'll use is a^b*a^c = a^(b+c). So we add the exponents.

That means 5^n*5^3 = 5^(n+3)

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3 years ago

Read 2 more answers

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all

posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

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3 years ago