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2 years ago

Work out the area of this semi circle Take pi to be 3.142 and write down all the digits given by your calculator

Mathematics

1 answer:

Liula [17]2 years ago

5 0

Answer:

628.4cm²

Step-by-step explanation:

Find the diagram attached

Area of the semi circle = πr²/2

r is the radius = 10cm

Area of the semi circle = π(10)²/2

Area of the semi circle = 3.142(100)/2

Area of the semi circle = 314.2×2cm²

Area of the semi circle =628.4cm²

Hence the area of the semicircle is 628.4cm²

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You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi

stich3 [128]

B = block p = park

2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!

6 0

2 years ago

A set of data has been organized using the stem-and-leaf plot below. What is the mode of the data?

blsea [12.9K]

1 is the mode of the plot :)

8 0

3 years ago

Read 2 more answers

What is 387.0642 rounded to the nearest hundredth?

Oksi-84 [34.3K]

Answer:

387.0742

Step-by-step explanation:

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2 years ago

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The number of major faults on a randomly chosen 1 km stretch of highway has a Poisson distribution with mean 1.7. The random var

tiny-mole [99]

The probability can be modeled using the following formula:
$P(X =3)$
wherein X follows the density
$P(X=k)=\frac{1.7^ke^{-1.7}}{k!}$
Now for k = 3 we get:
$P(X=3)=\frac{1.7^3e^{-1.7}}{3!}=0.15$
The probability we are looking for is 0.15.
Do you have any question ?

6 0

3 years ago

Answer it fast please

Ksenya-84 [330]

When there is a cubed fraction you have to multiply the top fraction by itself 3 times. So you would do 6x6x6 which is 216. Then for the squared fraction so the same, so 5 x 5 which is 25.
So then you get 216/10 x 25/9, in which you would multiply both the numerator and denominator and get 5400/90, put 5400 / 90 to see if it is a no decimal number, in which it is, and it is 60.

The answer is 60

8 0

2 years ago