Answer:
7
Step-by-step explanation:
the area of a triangle is base*height/2. so, if the area is 14 mm^2, we have to figure out how much the area would be without dividing by 2. the opposite of division is multiplication, so 14*2=28. now that we know how much the area would be if we didnt divide by 2, we have to figure out the base. the equation is:4x=28. we divide 4 on each side and we get x=7.
Answer:
Step-by-step explanation:
You are given adjacent and you want opposite. You can use the relationship of tangent. SOHCAHTOA
tan(51) = x/15
x = 18.5
Answer:
Julio: 65 soles
Agosto: 85 soles
Step-by-step explanation:
julio: x
agosto: x + 20
x + x + 20 = 150
2x + 20 = 150
2x = 130 x = 65
julio: x = 65
agosto: x + 20 = 85
verificacion: 65 + 85 = 150
julio [65] = 20 menos que agosto [85]
Answer:
Julio: 65 soles
Agosto: 85 soles
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
Answer:
x = (-5 ± √57) / 2
Step-by-step explanation:
x² = 8 − 5x
x² + 5x − 8 = 0
Solve with quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -5 ± √(25 − 4(1)(-8)) ] / 2
x = (-5 ± √57) / 2