Answer:
-2/9
Step-by-step explanation:
When you multiply a number by its multiplicative inverse, you should get 1. So, the multiplicative inverse (or reciprocal) of -9/2 is 1/(-9/2) which is -2/9. You can get the answer by simply flipping the numerator and denominator.
The formula for an area of circle is
which mean
the radius can be found by dividing the diameter by two as the diameter is twice the radius
(Refer to image for diagram.)
Volume is length*width*height
So
⇒
⇒
⇒
Differentiate:
For maximum, set
⇒
⇒
⇒
⇒
⇒
⇒
⇒
Since theshorter side of the original rectangle is
,
⇒
is the height
For the longer side of the base:
For the shorter side of the base:
The dimensions are
×
×
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
r
Step-by-step explanation:
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