Answer:
the volume is 60 cm cubed
Step-by-step explanation:
(5 x 8) / 2 x 3
5 x 8 = 40
40 / 2 = 20
20 x 3 = 60
Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:
- Segment BC.
- Segment CD.
<h3>What is a circle?</h3>
A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
<h3>The equation of a circle.</h3>
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
- h and k represents the coordinates at the center.
- r represents the radius of a circle.
<h3>What is a line segment?</h3>
A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:
- Segment BC.
- Segment CD.
Read more on line segment here: brainly.com/question/18315903
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The ladder, the wall and the floor form together a triangle rectangle, where the ladder is the hypotenuse of the triangle and the floor and wall are the cathetus. We know from Pythagoreas theorem that the square of the hypotenuse is equal to the sum of the two cathetus squared added, so we can write an equation with the data we have:
hyp^2 = cath1^2 + cath2^2
<span>hyp^2 = wall^2 + floor^2
</span>so we have the hypotenuse value, the floor value and the unknown is the wall height:
(22)^2 = wall^2 + (7)^2
484 = wall^2 + 49
wall^2 = 484 - 49 = 435
wall = √435
wall = 20.9
therefore the ladder touches the wall 20.9 feet above the ground
Answer:
The answer will be listed below.
Step-by-step explanation:
No Solution: -2z+2+4z=16/5+2z-6/5; 5r+2=6r+3-r
One Solution: 3/2x+2.3-1/2x=4.3+x; 2x+2/3=2x+4/5-4x; 32p-2.5+2.1p=5p-7/2
Infinite Solution: 17/4+4.2y-9/4=2.2y+6+2y-4
Note: Remember that infinite solution is like 1=1 or 5x+2=5x+2. No solution is where it's like 0=1. 1 solution is where it's like x=2.
Answer:
Equation of line l,
3x-4y=1/2
y=3/4x-1/2
we get,
slope of line l =3/4
Equation of line m,
x-5=2y
y=1/2-5/2
Hence slope of line m=1/2
Slope of line l is not equal to slope of line m. Hence the line are not parallel.
Slope of line l* slope of line m ,
(3/4)*(1/2) =3/8
Since the product of slope of line l and the slope of line m is not equal to -1, the lines are not perpendicular.
Hence the lines are neither perpendicular nor parallel..
