Answer:
4 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = 
h(a + b)
where h is the height and a, b the bases
here A = 46, a = 6 and b = 17, hence
46 = h(6 + 17) ( multiply both sides by 2 )
92 = h(23) ← divide both sides by 23 )
h = 
= 4 units
Answer:
5th
Step-by-step explanation:
Answer:
11.4
Step-by-step explanation:
Find the distance in the x-direction between the x-components: 2 - (-7) = 9.
Similarly: between the y-components: 1 - (-6) = 7
Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:
81 + 49 = d^2, or d^2 = 130
The distance d is approximately √130 ≈ 11.4
Answer:
Θ = 46°
Step-by-step explanation:
the angle between a tangent and a radius at the point of contact is 90° , so
∠ ABO = 90°
since OB = OD ( radii of circle ) then Δ BOD is isosceles and
∠ OBD = ∠ ODB = 22°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ AOB is an exterior angle of the triangle , then
∠ AOB = 22° + 22° = 44°
the sum of the 3 angles in Δ AOB = 180° , then
Θ + 44° + 90° = 180°
Θ + 134° = 180° ( subtract 134° from both sides )
Θ = 46°
Chair=4x
lamp=x
table=4x-23
4x+x+4x-23=562
9x=585
x=585/9
x=65
4x=260
4x-23=237
