Answer:
area = 779.4 cm²
Step-by-step explanation:
divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.
tan 60° = 15/x
1.7321 = 15/x
x = 8.66 (this is one-half of the base of the triangle)
base = 17.32 cm
area of one triangle = 1/2(17.32)(15) = 129.9 cm²
129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)
Answer:
y=2x+10
Step-by-step explanation:
In line equations its helpful to write your line in the form y = ax + b. This helps because a is always the gadient of the line and b is always the y intercept.
In this case it is y=2x+3
All parallel lines have the same gradient. The gradient of this line = 2.
If the line crosses the x axis at x=-5, then when x =-5 y = 0.
If you put all this in the form y =ax + b you get 0 = 2(-5) +b
So all you need to do to find b is rearrange. b = 10.
Therefore your line has gradient 2 and y intercept 10.
y = 2x + 10
Answer:
48
Step-by-step explanation:
6 x 8 = 48. Simple as that. She made enough to send 6 cookies to 8 different groups.
If the triangle is a right triangle, then
(3x)² + x² = (10)² .
9x² + x² = 100
10x² = 100
x² = 10
x = √10 = approx. 3.1622...
If ' x ' is <em>anything less than √10</em> , then the short sides are too short
to make a right angle at the top, and the angle where they meet
is obtuse.
' x ' has to be greater than 2.5 ... otherwise the two short sides
can't stretch far enough to reach both ends of the long side (10) .
So, if 2.5 < x < √10 , then there is a triangle, and it's obtuse.
