The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Let x represent the length and y represent the width. Hence:
x + 2y = 50
x = 50 - 2y
Also:
xy = 288
(50 - 2y)y = 288
y = 9; and y = 16
x = 32; and x = 18
The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.
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Answer:
The volume of the tank is 1235ft³
Step-by-step explanation:
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 13ft
π = 3.14
r = radius = 5.5ft
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (5.5ft)²) * 13ft
v = (3.14 * 30.25ft²) * 13ft
v = 94.985ft² * 13ft
v = 1234.805ft³
Round to the nearest whole number
v = 1234.805ft³ = v = 1235ft³
If each garden takes 20 minutes to clean, it will take him (20 x 4) to clean the gardens.
20 x 4 = 100
80 minutes
or 1 hour and 10 minutes.
Answer:
D. Obtuse.
Step-by-step explanation:
We are told that in
and
. We are asked to classify our given
.
We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.
Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.
So we can set an equation as:

Upon substituting our given values we will get,




As measure of angle N is 98 degrees, so angle N is an obtuse angle.
Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore,
is an obtuse triangle and option D is the correct choice.