Answer:
∠1=∠9=43°, ∠2=∠7= 17°, ∠4=∠5=∠6=60°, ∠3=∠8=120°
Step-by-step explanation:
Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.
In triangle ABC,
∠1=∠9 (∵isosceles triangle)
⇒ 4x+3=9x-47
⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10
Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°
Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.
∴ ∠4+∠5+∠6=180°
⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°
∴ ∠4=∠5=∠6=60°
By exterior angle property, ∠3=∠5+∠6=60°+60°=120°
∠8=∠5+∠4=60°+60°=120°
In ΔABD, ∠1+∠2+∠3=180°
⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°
In ΔABD, ∠9+∠8+∠7=180°
⇒ 43°+120°+∠7=180°⇒ ∠7= 17°
Step-by-step explanation:
Given:
The cone with radius 6 cm and height 11cm.
Required:
Find the volume of a cone.
Explanation:
The formula for volume of cone:
We have radius = 6 cm and height = 11 cm.
So,
Answer:
Volume of cone equals 414.48 cm cube.
There is a 75 percent chance the event will occur
Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
Answer:
(a) 4 feet/minute
(b) 24 feet
Given b=21 and ∠β=60°,
a = 12.12436 = 7√3
j = 24.24871 = 14√3
∠α = 30° = 0.5236 rad = π/6
h = 10.5
area = 127.30573 = 147√3/2
perimeter = 57.37307
inradius = 4.43782
circumradius = 12.12436 = 7√3
Answer is
j = 24.24871 = 14√3
