Answer:
50
Step-by-step explanation:
all angles must equal to 180
Answer:
number 1 is true
Step-by-step explanation:
Answer:
There is 7/15 left in the bag
Step-by-step explanation:
So, you need to find a common denominator between 3 and 5 which is 15
multiply the numerator and the denominator by 3 in 1/5. Then, multiply the numerator and the denominator by 5 in 1/3.
1/3*5=5/15
1/5*3=3/15
Add them together.
5/15+3/15=8/15
Lastly, subtract 15/15 by 8/15
15/15-8/15=7/15
Answer:
(3 S.F)
Step-by-step explanation:
Diameter of circle (D) = one side of the equilateral ∆
Circumference of the circle = πD = 48 cm
Thus:
πD = 48
Divide both sides by π
D =
= 15.3 cm (approximated to nearest tenth)
Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.
Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.
Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.
Thus:
Length of the two sides = 15.3 cm and
15.3 cm
Included angle = 60°
Use the following formula:

Where,
a = 15.3 cm
b = 15.3 cm
C = 60°
Plug the values into the formula to find the area.


(3 S.F)
Given that Volume of triangular prism = 216 cubic centimetre
Given that Height of the pencil = 12 centimetre
Now we have to find the area of the base of the prism means find the area of triangular part.
Volume of triangular prism is given by formula:
Volume of triangular prism = (Area of base) x (Height of the prism)
now plug the given values
216= (Area of the base) x 12
Area of the base
18= Area of the base
Hence final answer is 18 square centimetres.