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lana [24]
3 years ago
10

Help me plsssssssssssss

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

The radius is 5 cm

Step-by-step explanation:

The formula for the area of a circle is :  \p*radius^2

To work out the length of the radius you would first need to divide the area of  78.5 cm by pi (pi=3.14), this gives you 25cm^2\\. This is because by dividing the area by pi we are isolating the value of the radius squared.

The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.

1) Divide 78.5 by pi.

78.5/\pi=25cm^2

2) Find the square root of 25 cm squared.

\sqrt{25} =5 cm

In this question pi is 3.14

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Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 39 cm.
vesna_86 [32]

Answer

given,

work = 5 J

spring stretch form 30 cm to 39 cm

W = \dfrac{1}{2}kx^2

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k = \dfrac{5\times 2}{0.09^2}

k = 1234.568 N/m

a) work when spring is stretched from  32 cm to 34 cm

x₂= 0.34 -0.30 = 0.04 m

x₁ = 0.32 - 0.30 = 0.02

W = \dfrac{1}{2}k(x_2^2-x_1^2)^2

W = \dfrac{1}{2}\times 1234.568 \times (0.04^2-0.02^2)^2

W = 0.741 J

b) F = k x

  25 = 1234.568 × x

     x = 0.0205 m

     x = 2.05 cm

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4 years ago
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valentina_108 [34]
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Step-by-step explanation:

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Line segment AB is one unit long. If point C cuts AB so that AC = 0.618, what is the ratio of AC to CB? a. 1 c. 1.32 b. 1.618 d.
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By the segment addition postulate,
AB = AC+CB
since C is somewhere between A and B

We know AC is 0.618 and AB = 1
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