The sum of the interior angles of a polygon with
sides is

Since a pentagon has 5 sides, the sum of its interior angles is

Since it is a regular pentagon, all sides and angles are the same, so one single angle measures
degrees.
Answer:
Volume of right cylinder= 150.72 cu cm
Volume of cone= 314.159 cu cm
Volume of pyramid with base area 16= 160 cu cm
Volume of pyramid with length 3 =48 cu cm
Step-by-step explanation:
Volume of right cylinder = πr²h= 22/7 (4)²3= 150.72 cu cm
Volume of a cone = 1/3 πr²h= 1/3 (22/7) (5)²(12)= 314.159 cu cm
Volume of a pyramid = 1/3 ah= 1/3(16) (30)= 160 cu cm (where a= area and h= height)
Volume of pyramid= 1/3 (3*3)(16)= 48 cu cm
Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:


Solving for B, we have:

∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Step-by-step explanation: First you convert the equation into standard form, which is y=mx+b . Then graph it. When it is in the form y=mx+b it is easier to graph. Then you can see the intercepts on the graph and come up with your answer.
Hope this helps!
I think it’s C sorry if I’m wrong