We know that
[volume of cylinder]=pi*r²*h------------> h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm
so
h=[5652]/(3.14*7.5²)-----------> h=32 cm
<span>the height of the soap in the full dispenser is 32 cm
</span><span>the height when 4,239 cubic centimeters of soap remains in the dispenser is
</span>h=[4239]/(3.14*7.5²)-----------> h=24 cm
hence
<span>the difference is 32-24--------> 8 cm
</span>
the answer is
8 cm
Answer:
Option D
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that c=71, B=123°, and a=65. Plugging in the values:
b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).
Simplifying gives:
b^2 = 14293.0182932.
Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).
This means that the Option D is the correct choice!!!
To do this we will divide d amount of dollars by d amount of lbs.
Lets do it:-
16.87 ÷ 3.5 = 4.82
1 lb of trail mix is for $4.82
CHECK OUR WORK:-
4.82 × 3.5 = 16.87
We were RIGHT!!
So, 1 lb of trail mix costs $4.82.
Hope I helped ya!! xD
Let
L---------> the length side of the box
W--------> the width side of the box
H-------> the height of the box
we know that

the surface area of the box is equal to

<u>Find the area of the base</u>

<u>Find the perimeter of the base</u>

<u>Find the surface area</u>


therefore
<u>the answer is</u>
the total area of the box that will be covered in gift wrap is 
The answer is D.(1,-1) the reason is -1(y)-2*1(x)=-3 so, -1-2*1 is less than or equal to -3.