a square-shaped playground has an area of 290ft^2. Approximately, how long is one side of the playground

A chair can be purchased in one of four colors: red, white, green, or blue. The number of chairs purchased in each color is list

Makovka662 [10]

Answer:

$P(Red) = 0.125$

Step-by-step explanation:

Given

$Red: 150$

$White: 450$

$Green: 225$

$Blue: 375$

Required

Determine the probability of getting a red chair, next.

First, we nee the total number of chairs

$Total = 150 + 450 + 225 + 375$

$Total = 1200$

Probability of getting red is then calculated as thus;

$P(Red) = Red/Total$

$P(Red) = 150/1200$

$P(Red) = 0.125$

8 0

3 years ago

Solve the equation: -7n = 105 What is the value of n?

kirza4 [7]

Answer:

-15

Step-by-step explanation:

process of elimination.

3 0

2 years ago

Read 2 more answers

Find m∠B. Put the answer below. m∠B =

kkurt [141]

$\huge\underline{Answer -}$

we know that

$tan\:θ \:= \frac{perpendicular}{base}\\$

thus in the question ,

$\tan(B) = \frac{perpendicular}{base} \\ \\ \tan(B) = \frac{\cancel{24} \sqrt{3} }{\cancel{24}} = \sqrt{3} \\ \\ \tan(60) = \sqrt{3}$

therefore , m∠B = 60°

hope helpful~

8 0

2 years ago

Solve this <img src="https://tex.z-dn.net/?f=4%5Cleft%285x-2%5Cright%29%3D2%5Cleft%289x%2B3%5Cright%29" id="TexFormula1" ti

vampirchik [111]

Answer:

Solution of equation ( x ) = 7

Step-by-step explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.

Solution : -

 $\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )$ 

Step 1 : Removing parenthesis :

$\quad \longrightarrow \:20x - 8 = 18x + 6$

Step 2 : Adding 8 from both sides :

$\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8$

On further calculations we get :

$\quad \longrightarrow \:20x = 18x + 14$

Step 3 : Subtracting 18 from both sides :

$\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}$

On further calculations we get :

$\quad \longrightarrow \:2x = 14$

Step 4 : Dividing with 2 on both sides :

$\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }$

On further calculations we get :

$\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}$

Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for x is correct .

<h2>#Keep Learning</h2>

4 0

1 year ago

Read 2 more answers

Find the Volume of this Octagonal Pyramid. "B" represents the Area of the octagon base.

Dominik [7]

Answer:

7.06 x 10^(-7) ft 3

Step-by-step explanation:

We have the formula to calculate the volume of an octagonal Pyraamid as following:

+) Volume of octagonal pyramid = 1/3 * Area of the base * Height

As given, the base of the pyramid is an octagon with area equal to 15mm2

=> Area of the base = 15 mm2

The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.

=> Height = 4mm

So we have:

Volume of octagonal pyramid = 1/3 * Area of the base * Height

= 1/3 * 15 * 4 = 20 mm3

As: 1 mm3 = 3.53 x 10^(-8) ft 3

=> 20 mm3 = 7.06x10^(-7) ft 3

So the volume of the pyramid is : 7.06 x 10^(-7) ft 3

6 0

3 years ago