Answer:
1 yard
Step-by-step explanation:
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:
Car B has the better fuel economy.
Step-by-step explanation:
Calculate the fuel consumption for the two cars:
Car A: (450 km) / (40.5 L) = 1.11 km per L
Car B: (220 km) / (18.7 L) = 1.18 km per L
Car B goes further on one L of gasoline than Car A.
Answer:
<em>JONATHAN WILL NEED 14 PAGES.</em>
Explanation:
<em>33 + 67 = 100</em>
<em>100 - 12 = 88</em>
<em>88 ÷ 6 = 14.6666667 </em>
<em>14.6666667 ⇒ </em><u><em>14</em></u>
<em>(Round 14.6666667 down to 14 because Johnathan does not have .6666667 of a page.)</em>
<em></em>
It's the same as finding the hypothenuse of a right triangle. Let c be the hypothenuse.
30 squared+ 50 squared= c squared.
900+ 2500= c squared
3400= c squared
Then find the square root of 3400 and that will equal c.
So, depending in what form the teacher was the answer. The answer will be square root of 3400 ft squared or 58.3 ft squared.
