Answer:
x = 5√2
y = 15
Step-by-step explanation:
By applying sine rule in the given right triangle,
sin(60°) =
y =
y = 15
Similarly, by applying cosine rule in the given triangle,
cos(60°) =
x = 5√2
Answer:
12a cm2
2b cm2
(6a + b) cm2
Step-by-step explanation:
The complete question is
The figure consists of 12 congruent equilateral triangles. The area of one equilateral triangle is a cm2. The area of the hexagon, shaded slightly darker, is b cm2.
Which expressions represent the area of the entire shaded region, including the light and dark shading? Check all that apply.
12a cm2
2b cm2
(6a - b) cm2
(12a + 2b) cm2
(6a + b) cm2
The picture of the question in the attached figure
we know that
The area of the entire shaded region is equal to the area of the the light and dark shading
so
step 1
Find the area of the light shading
The area is equal to the area of six congruent equilateral triangles
step 2
Find the area of the dark shading
The area is equal to the area of the regular hexagon
step 3
1) Find the total area
2) Remember that the figure consists of 12 congruent equilateral triangles
so
3) The area of the light shading is the same that the area of the dark shading
so
6a=b
therefore
Look at one of the points, lets pick point A.
It is originally at (4,-2) and is now at (-4,5)
The X coordinate is the left to right direction.
It moved from 4 to -4 , which is an 8 unit shift to the left.
The Y value went from -2 to 5, which is a 7 unit shift upwards.
The answer would be 8 units left and 7 units up.
C
5 is 1/3 of 15 and 1 is 1/3 of 3 so C would be correct
15y - 9 <36.
Add 9 to each side.
15y- 9 (+9) < 36 + 9.
15y < 45.
y < 3.
Hope it helps! :)