Hello,
There are 4 + 2 + 1 + 3 = 10 marbles in the bag.
The probability to get a red marble is 4/10 = 2/5 ; the probability to get a blue marble is 2/10 = 1/5 ; the probability to obtain a purple marble is 1/10 and the probability of getting a green marble is 3/10.
Have a nice day !
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?
let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height
volume=48 ft</span>³
<span>height of the prism=3/4 ft
area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1
y=x+2--------> equation 2
substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft
the answer is</span>
the length of the base of the rectangular prism is 7.062 ftthe width of the base of the rectangular prism is 9.062 ft<span>
</span>
Answer:
General equation of a line:

then express in that form:

Answer:
At first we should know that:
<u>The properties of the square are:</u>
- It has four equal sides.
- All angles are right angles or equal to 90º.
- The sum of its all angles is 360º
- It has two pairs of perpendicular lines.
- It has two pairs of parallel lines.
<u>The properties of Rhombus</u>
- It has equal four sides.
- The opposite sides are of the same length.
- It has two acute angles and two obtuse angles.
- The sum of its all angles is 360º
- It has zero pairs of perpendicular lines.
- It has two pairs of parallel lines.
So, Wade is incorrect because the quadrilateral may be <u>Rhombus</u>
And the quadrilateral to be a square, she needs to show that It has two pairs of perpendicular lines.
64 divided by 8 = 8
So you're answer would be 8