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?

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 > or < 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

$\\ \\$

Different between two speeds when distance is same.

$\\ \\$

<h3>Solution:</h3>

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

we know:-

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

So:-

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

$\\ \\$

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

$\\ \\$

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

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

Again:

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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

$\\ \\$

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