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Dahasolnce [82]
3 years ago
13

A spherical basketball has a diameter of 18 cm.

Mathematics
2 answers:
lesya [120]3 years ago
3 0
Use the formula 4/3 x pi x r^3  with R being 9
You get 3053.6
forsale [732]3 years ago
3 0
V=(4πr^3)/3 and we are told that d=18cm, so r=9cm thus

V=(4π9^3)/3

V=972π cm^3

V≈3053.63 cm^3 (to nearest hundredth of a cubic centimeter)
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A triangle and a trapezoid are graphed on the coordinate plane shown below.
Gre4nikov [31]

Answer:

10 sq units

Step-by-step explanation:

Area of triangle = 1/2(4)(2) or 4 square units

Area of trapezoid = 1/2(2)(2+4) or 6 square units

Combined area = 10 sq units

3 0
3 years ago
Please help, i really need help
AveGali [126]

Answer :

<em>3</em><em>5</em><em> </em><em>h</em><em>o</em><em>t</em><em> </em><em>d</em><em>o</em><em>g</em><em>s</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>5</em><em>2</em><em> </em><em>s</em><em>o</em><em>d</em><em>a</em><em>s</em><em> </em><em>w</em><em>e</em><em>r</em><em>e</em><em> </em><em>s</em><em>o</em><em>l</em><em>d</em><em>.</em><em> </em>

Step-by-step explanation:

Let the no. of hot dogs sold be x and no. of sodas sold be y .

Put together your two equations, and find the values of x and y, to know exactly how many hot dogs and sodas were sold.

Hope i was able to help:)))

6 0
3 years ago
What is the area of a square if the base is 4 m in the height is 4 m
iVinArrow [24]

Answer: the area is 16m

4x4=16m

6 0
3 years ago
How can you convert the Heun’s Method into the Implicit Heun’s Method? Show an example
g100num [7]

Answer:

Heun's method is also known by its other name called Modified Euler methods. This method is used in computational or mathematical science.

Step-by-step explanation:

Euler method is the method that is also pronounced in two similar stages such as Runge- Kutta methods. This method has been named after Dr. Heun.

This method is used for the solution of ordinary differential equations with its given values. There is some method to calculate this method. The improved Runge Kutta methods are also called the Butcher tableau method, the other methods are also called the Ralston methods.

4 0
3 years ago
Solve x^3-7x^2+7x+15​
ruslelena [56]

Step-by-step explanation:

\underline{\textsf{Given:}}

Given:

\mathsf{Polynomial\;is\;x^3+7x^2+7x-15}Polynomialisx

3

+7x

2

+7x−15

\underline{\textsf{To find:}}

To find:

\mathsf{Factors\;of\;x^3+7x^2+7x-15}Factorsofx

3

+7x

2

+7x−15

\underline{\textsf{Solution:}}

Solution:

\textsf{Factor theorem:}Factor theorem:

\boxed{\mathsf{(x-a)\;is\;a\;factor\;P(x)\;\iff\;P(a)=0}}

(x−a)isafactorP(x)⟺P(a)=0

\mathsf{Let\;P(x)=x^3+7x^2+7x-15}LetP(x)=x

3

+7x

2

+7x−15

\mathsf{Sum\;of\;the\;coefficients=1+7+7-15=0}Sumofthecoefficients=1+7+7−15=0

\therefore\mathsf{(x-1)\;is\;a\;factor\;of\;P(x)}∴(x−1)isafactorofP(x)

\mathsf{When\;x=-3}Whenx=−3

\mathsf{P(-3)=(-3)^3+7(-3)^2+7(-3)-15}P(−3)=(−3)

3

+7(−3)

2

+7(−3)−15

\mathsf{P(-3)=-27+63-21-15}P(−3)=−27+63−21−15

\mathsf{P(-3)=63-63}P(−3)=63−63

\mathsf{P(-3)=0}P(−3)=0

\therefore\mathsf{(x+3)\;is\;a\;factor}∴(x+3)isafactor

\mathsf{When\;x=-5}Whenx=−5

\mathsf{P(-5)=(-5)^3+7(-5)^2+7(-5)-15}P(−5)=(−5)

3

+7(−5)

2

+7(−5)−15

\mathsf{P(-5)=-125+175-35-15}P(−5)=−125+175−35−15

\mathsf{P(-5)=175-175}P(−5)=175−175

\mathsf{P(-5)=0}P(−5)=0

\therefore\mathsf{(x+5)\;is\;a\;factor}∴(x+5)isafactor

\underline{\textsf{Answer:}}

Answer:

\mathsf{x^3+7x^2+7x-15=(x-1)(x+3)(x+5)}x

3

+7x

2

+7x−15=(x−1)(x+3)(x+5)

\underline{\textsf{Find more:}}

Find more:

6 0
3 years ago
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