The answer is 35/10 and 6/10
Hi there!
Something really good to remember about trigonometry is SOHCAHTOA. I won’t dive into too much detail about it, but you should google it for future assignments.
Anyways,
tan50°=14/AB
ABtan50°=14
AB=14/tan50°
AB=11.75
cos50°=14/AC
ACcos50°=14
AC=14/cos50°
AC=21.78
For the measure of angle C you can use a theorem called the third angle theorem. In every single possible triangle, the sum of all three angles adds up to 180°. You can set up an equation like so...
angleC=180-(90+50)
angleC=180-140
angleC=40°
The volume of the square base pyramid is 588 ft³
The Volume of the rectangular prism is 120 ft³
The Volume of a rectangular pyramid is 360 ft³
<h3>What is volume of a shape?</h3>
Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Volume of a square base pyramid = 1 / 3 × B × h
where
B = base area
Therefore,
Volume of a square base pyramid = 1 / 3 × 7² × 12
Volume of a square base pyramid = 1764 / 3 = 588 ft³
Volume of a rectangular prism = lwh
Volume of a rectangular prism = 6 × 5 × 4 = 120 ft³
Volume of a rectangular pyramid = 1 / 3 lwh
Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³
learn more on volume here: brainly.com/question/1578538
Answer:
Step-by-step explanation:
The trash can has a cylinder shape, so we have to calculate the volume of a cylinder.
The volume of a cylinder is given by the formula
where
V is the volume
r is the radius of the base
h is the height of the cylinder
In this problem, we have:
h = 24.90 in. is the height of the can
d = 15.50 in. is the diameter of the can, so the radius is half of this value:
Therefore, the volume of the trash can is:
10+14+40= 64 ounces
16 ounces = 1 pound
64/16 = 4 pounds
