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mezya [45]
3 years ago
10

John takes 2 hours to cut the grass in the lawn of a circular field. To cut the grass in a similar adjacent circular lawn of twi

ce the radius, how many hours can John expect to take?
Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

  8

Step-by-step explanation:

The area of a circle with twice the radius is 4 times the area of the smaller circle. If John's hours are proportional to area, we expect it will take him 4 times as long for the larger area.

John can expect to take 8 hours cutting the grass in the larger lawn.

___

The area of a circle with radius r is ...

  A = πr²

The area of a circle with radius 2r is ...

  π(2r)² = 4πr² = 4A . . . . . 4 times the area of the smaller circle

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Jorge PAGO DE CONTADO $200 000 POR UN AUTOMÓVIL. SI ORIGINALMENTE COSTABA $250 000 ¿Qué PORCENTAJE DE DESCUENTO LE HICIERON ?
prohojiy [21]

Answer:

20%

Step-by-step explanation:

$(200 000/ 250 000) = .8 = 80%, seguís pagando 80% entonces distes un descuento de 20% (100-80=20%)

7 0
3 years ago
40 36 32 28 what number comes next
Alex73 [517]

Answer:

24

Step-by-step explanation:

subract 4 each time

6 0
3 years ago
Use your knowledge of the process of "Writing an equation given two points" to solve the following problem: A vendor has learned
nydimaria [60]

Answer: Our required linear equation would be x+48y=148

Step-by-step explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148

Hence, our required linear equation would be x+48y=148

3 0
3 years ago
Convert 37.45 to a fraction
Art [367]

Answer:

37   9/20

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can someone solve this
Natalka [10]

Option D:

ΔCAN ≅ ΔWNA by SAS congruence rule.

Solution:

Given data:

m∠CNA = m∠WAN and CN = WA

To prove that ΔCAN ≅ ΔWNA:

In ΔCAN and ΔWNA,

CN = WA (given side)

∠CNA = ∠WAN (given angle)

NA = NA (reflexive side)

Therefore, ΔCAN ≅ ΔWNA by SAS congruence rule.

Hence option D is the correct answer.

4 0
3 years ago
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