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QveST [7]
4 years ago
12

A cylinder with a radius of 3 feet and a height of 5 feet is shown. What is the volume of the cylinder, in cubic feet?

Mathematics
1 answer:
irina1246 [14]4 years ago
4 0

Answer:

V = 141.37 ft^{3}

Step-by-step explanation:

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The ratio of the number of boys to the number of girls in a school is 10 : 2. If there are 300 students in the school, how many
ElenaW [278]

Answer:10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Type your answer into the box.<br> Insert &gt; or &lt; into the following:<br> £107,714<br> £107,674
Ilya [14]

Answer:

£107,714  > £107,674

Step-by-step explanation:

Given

£107,714  and £107,674

Required

Determine the relationship between them using > or <

From the given parameters, we understand that

£107,714  is greater than £107,674

The keyword greater than is represented mathematically with  >

Hence:

£107,714  is greater than £107,674

becomes

£107,714  > £107,674

8 0
3 years ago
If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3))
belka [17]

Answer:

(x-(3+\sqrt5)) or (x-3-\sqrt5) is a factor of the given polynomial.

Step-by-step explanation:

Let us learn the concept with an example first.

Let the polynomial be a quadratic function g(x).

g(x) = x^{2} -5x+6

The roots of g(x) are 2 and 3.

Putting x= 2\ in \ g(x)

2^2-5\times 2+6 = 4-10+6 =0

Putting x= 3\ in \ g(x)

3^2-5\times 3+6 = 9-15+6 =0

Putting x = 2 or x = 3, g(x) = 0 \therefore The roots of equation g(x) are 2 and 3.

Now, let us try to factorize g(x):

x^{2} -2x-3x+6\\\Rightarrow x(x -2)-3(x-2)\\\Rightarrow (x-3)(x-2)

so, the equation can be written as:

g(x) = x^{2} -5x+6=(x-3)(x-2) where 3 and 2 are the roots of equation.

The factors are (x-3) and (x-2).

\therefore for the polynomial f(x) which has roots 3+\sqrt5\ and\ -6 will have a factor:

(x-(3+\sqrt5)) or (x-3-\sqrt5)

8 0
3 years ago
What is the difference in speed between two cars when one traveled 175 km in 4 hours and the other traveled the same distance in
vovangra [49]
<h3>Given :</h3>
  • Distance = 175
  • Time 1 = 4 hours

\\  \\

<h3>To find:</h3>
  • Different between two speeds when distance is same.

\\  \\

<h3>Solution:</h3>

<u>Part</u><u> </u><u>1</u><u> </u><u>:</u>

In first part we will find speed 1 in which time is 4 hours

we know:-

\bigstar \boxed{ \rm speed =  \frac{distance}{time} }

So:-

\dashrightarrow\sf speed_1 =  \dfrac{distance}{time_1}

\\  \\

\dashrightarrow\sf speed_1 =  \dfrac{175}{4}

\\  \\

\dashrightarrow\bf speed_1 =  43.75 \: km {h}^{ - 1}

<u>Part 2</u>

In first part we will find speed 2 in which time is 3 hours

Again:

\bigstar \boxed{ \rm speed =  \frac{distance}{time} }

\\  \\

\dashrightarrow\sf speed_2 =  \dfrac{distance}{time_2}

\\  \\

\dashrightarrow\sf speed_2 =  \dfrac{175}{3}

\\  \\

\dashrightarrow\bf speed_2 = 58.33kmh^{-1}

\\  \\

<u>Part 3</u>

In this part we will find different between speed 1 and speed 2

\bigstar  \boxed{\rm Difference = speed_2 - speed_1}

\\  \\

So :

\dashrightarrow\sf Difference = speed_2 - speed_1 \\

\\  \\

\dashrightarrow\sf Difference =58.33 - 43.75\\

\\  \\

\dashrightarrow\bf Difference =14.58kmh^{-1}\\

\\  \\

\therefore \underline {\textsf{\textbf{Difference in speed between two cars is \red{14.58km/h}}}}

4 0
3 years ago
One pound of tomatoes costs $1.59.One pound of bananas costs $1.87. How much more do 5 pounds of tomatoes costs than 2 pounds of
Bad White [126]

when you multiply $1.59 by 5 you get $7.95

when you multiply $1.87 by 2 you get $4.74

so when you subtract them you get $3.21

3 0
3 years ago
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