Answer:
9.9inches
Step-by-step explanation:
From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry
From trigonometry, Sin(x)= opposite/Hypotenuse
Sin(65)=X/10.9
X= Sin(65) ×10.9
X=0.9063×10.9
=9.8688
Hence the third side of the triangle is approximately 9.9inches
CHECK THE ATTACHMENT FOR THE TRIANGLE
Answer:
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.
Step-by-step explanation:
Surface area of an snowball:
An snowball has spherical format. The surface area of an sphere is given by:
In which d is the diameter of the sphere.
In this question:
We need to differentiate S implicitly in function of time. So
Surface area decreases at a rate of 9 cm2/min
This means that
At which the diameter decreases when the diameter is 10 cm?
This is when
. So
Area in cm², so diameter in cm.
The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.