Answer:
(5,4) is the solution
Step-by-step explanation:
2x + y = 14 --> y = -2x + 14
Substitute y = -2x + 14 into 3x - 2y = 7
3x - 2( -2x + 14) = 7
3x + 4x - 28 = 7
7x = 35
x = 5
y = -2(5) + 14
y = -10 + 14
y = 4
Answer (5 , 4)
Area of a triangle = (height * base ) / 2
height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
An equilateral triangle has three 60 degree angles.
The altitude divides it into two 30 60 90 triangles.
The altitude is the "middle side" of such a triangle.
When that is the case, the middle side divided by the square root of 3 = the short side and multiplied by (2/sq root (3)) equals the hypotenuse.
The hypotenuse is the side of the equilateral triangle.
So, 6 * 2 / (sq root of 3) =
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6.9282032303
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Source:
http://www.1728.org/trig2.htm
Answer:
At least 39200 students.
Step-by-step explanation:
Given that there are 196 countries in the world, and each country would have at least 200 students in a university.
For each country to have at least 200 students in the university, then;
Number of students enrolled in the university = number of required students x number of countries
= 200 x 196
= 39200
At least, 39200 students must be enrolled in the university. Provided that the admission procedures are conditioned for the purpose.
5. m=3 because 6/2 is the slope. b= 1
6. m= -4 because -20/5 is the slope. b= 140
