i just did this question.
x = 9
this shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°. given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached). a 30-60-90 triangle is special because of the relationship of its sides. the hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle. the longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.
since the measure of the hypotenuse is given at 18, we can set the expression of that side equal to 18 and solve for x:
2x = 18 or x = 9
answer: d) 8 students
since $200 is already covered, you would subtract 200 from the total cost to find out how much you need left.
next, you do 400/50 because each student would cover $50.
therefore, your answer is 8 students.
see the attachment.
option (1) is correct.
consider the given equation, 3y -5x ≥ -6
we have to choose the graph from the given option,
we first find the coordinate where the given equation touches x and y axis.
first consider for x axis,
we know at x-axis y coordinate is zero.
substitute y = 0 in the given equation , we have,
3y -5x ≥ -6 ⇒ 3(0) -5x ≥ -6 ⇒ -5x ≥ -6 ⇒ 5x ≤ 6 ⇒ x ≤ 1.2
(x,0) = (1.2, 0)
now, consider for y axis,
we know at y-axis x coordinate is zero.
substitute x = 0 in the given equation , we have,
3y -5x ≥ -6 ⇒ 3y -5(0) ≥ -6 ⇒ 3y ≥ -6 ⇒ y ≥ -2
(0,y) = (0, -2)
now plot according to given coordinate we get the below graph,
thus, option (1) is correct.