Hello!
Your answer is area because area refers to a region, while perimeter only refers to the surrounding boundary of a figure. If you're going to carpet a floor, you will want to cover the entire area of the floor.
Since the triangle is an equilateral triangle we know all of it's sides must be the same length, with that in mind the angles that make up the triangle must be equal as well. Knowing that a triangle's three interior angles make up 180 degrees we know that the size of each angle must be one third of this (as each angle must be equal).
180/3 = 60
then we may split the triangle along it's altitude into two special right triangles
more specifically two 30-60-90 triangles.
this means that the side with 30 degrees will be some value "x" where the side for 60 degrees will be related as it is "x*sqrt(3)" and the hypotenuse (which would be the side of the triangle) would be proportionally "2x"
this would mean that the altitude is the side associated with the 60 degree angle as such we can solve for "x" using this.
12= x*sqrt(3)
12/sqrt(3)=x
4sqrt(3)=x (simplifying the radical we get "x" equals 4 square root 3)
now we may solve for the side length of the triangle which is "2x"
2*4sqrt(3) -> 8sqrt (3)
eight square root of three is the answer.
Answer:
x= -3
x= -5
Step-by-step explanation:
x^2 + 8x + 15 = 0
find which 2 numbers when multiplied equal 15 and when added equal 8
they are 3 and 5
(x+3)(x+5)
x+3 =0
x+5=0
x= -3
x= -5
Answer:
2406.17 cm³
Step-by-step explanation:
The following data were obtained from the question:
Height (h) = 24.4 cm
Base length (L) = 17.2 cm
Volume (V) =?
Next, we shall determine the base area of the pyramid. This can be obtained as follow:
Base length (L) = 17.2 cm
Base area (B) =.?
B = L × L
B = 17.2 × 17.2
B = 295.84 cm²
Finally, we shall determine the volume of the pyramid. This can be obtained as follow:
Height (h) = 24.4 cm
Base area (B) = 295.84 cm²
Volume (V) =?
V = ⅓Bh
V = ⅓ × 295.84 × 24.4
V = 2406.17 cm³
Thus, we volume of the pyramid is 2406.17 cm³
The distribution will be skewed to the positive side because the mean is greater than the median.
Mean: 3.7
Median: 3
Answer: B
