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enyata [817]
3 years ago
7

The volume of a baseball is about

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:  2.9 inches

<u>Step-by-step explanation:</u>

Volume_{sphere}=\dfrac{4}{3}\pi r^3\\\\\\Given: V=13.39\\\\\\13.39=\dfrac{4}{3}\pi r^3\\\\\\\dfrac{3}{4\pi}(13.39)=r^3\\\\\\\sqrt[3]{\dfrac{3}{4\pi}(13.39)} = r\\\\\\\large\boxed{2.9=r}

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A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the
denis-greek [22]

Answer:

38.60mm

Step-by-step explanation:

Step one:

Given data

We are given that the dimension of the triangles are length 23 mm and 31 mm

Let us assume that the triangle is a right angle triangle

Step two:

Applying the Pythagoras theorem we can find the third as

z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\

square both sides

z= √ 1490

z= 38.60mm

Hence a possible dimension of the third side is 38.60mm

3 0
3 years ago
Ann ran a 5 kilometer race in 45 minutes. Write an inequality
guapka [62]

Answer:

ghgyeryeughheyyrgjehrgb ehgryeurghekdrdrg dhgidrg

6 0
3 years ago
I need some help with this calculus question
Over [174]

The tangent to y at the point (0, 5) has a slope equal to the derivative evaluated at x=0.

y=x^4+5e^x\implies y'=4x^3+5e^x\implies y'(0)=5

This tangent passes through the point (0, 5), so its equation is

y-5=5(x-0)\implies y=5x+5

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5

3 0
3 years ago
2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the fathe
Goshia [24]

Answer:

<u><em>The Father is currently 47 and the Son is 7</em></u>

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that <u>(F-2) = 9(S-2)</u> [2 years ago, father age was nine times the son age]

We also learn that <u>(F+3) = 5(S+3)</u>  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

<u><em>Father is 47 and Son is 7</em></u>

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

3 0
1 year ago
Whats the difference of 1cm and 1cm2
Natali5045456 [20]
1 cm is regular

but 1 cm 2

means that you multiply 1 by 1 which is 1

for example if you have 15cm 2 you would multiply 15 by 15 and get 225

and 15 cm 3 would be 15*15*15 and you would get 3375
7 0
3 years ago
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