(3x + 1) + (4x - 17) + (5x - 20) = 180
12x - 36 = 180
12x = 216
x = 18
angle a = 55
angle b = 55
angle c = 70
This is an acute isosceles triangle.
Answer:Lateral surface area is 847.8 centimeters^2
Step-by-step explanation:
The formula for determining the lateral surface area of a cylinder is expressed as
Lateral surface area = 2πrh
Where
r = radius of the cylinder
h = the height of the cylinder
From the information given,
r = 9 centimeters
h = 15 centimeters
π = 3.14
Lateral surface area = 2 × 3.14 × 9 × 15 = 847.8 centimeters^2
$0.25 = 5 bottles
Divide both sides by 5:
$0.05 = 1 bottle
Last week: $12.75
12.75 = 0.05b where b represents bottles
Divide all by 0.05 to get b alone:
255 = b
Answer:
sinA = h/c; sinC = h/a
Step-by-step explanation:
Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?
sinA= h/c
sinC= h/a
sinA= h/c
sinB= b/c
sinA= b/c
sinC= b/a
Solution:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.
In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent
Therefore in triangle ABC:
sinA = h/c; sinC = h/a