He would have to wash 20 cars at first i got 19.25 because i divided 231 by 12 but i rounded up to 20 just to be safe....
Answer:
1) x = 40° & y = 50°
2) x = 100° & y = 80°
Step-by-step explanation:
1)
ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠ADC + ∠ABC = 180°
⇒ 130° + y = 180°
⇒ y = 180 - 130 = 50°
In ΔABC ,
∠ACB = 90° (∵ AB is the diameter of the circle and a diameter subtends an angle of 90° on any point on circle.)
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠CAB = 180°
⇒ y + 90° + x = 180°
⇒ x + 50° + 90° = 180°
⇒ x + 140° = 180°
⇒ x = 180 - 140 = 40°
2)
ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠BAC = 180°
⇒ 50° + 50° + y = 180°
⇒ y + 100° = 180°
⇒ y = 180 - 100 = 80°
ABEC is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are on the circle.). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠BAC + ∠BEC = 180°
⇒ y + x = 180°
⇒ x + 80° = 180°
⇒ x = 180 - 80 = 100°
Answer:
9 minutes
Step-by-step explanation:
12 divided by 1.5 is 9.
Answer: you will have 120 cubes
V = lwh
You're given length, width, and height of the prism, so:
V = (5/3) * (4/3) * (2)
V = 40/9 cm³
Now, you need to find the volume of each cube that'll be filling the prism. Since it's a cube, the length, width, and height are the same.
Therefore the volume is simply:
V = (1/3)³
V = 1/27cm³
To find how many cubes will fill the prism now, divide (40/9) by (1/27).
This results in 120 cubes being able to fill the prism.
Step-by-step explanation:
The equation for a cone is
V=(1/3)hpir^2
if pi=aprox 3.14 for this quesiton
and r=6 and h=13
V=(1/3)(13)(3.14)(6^2)
V=(1/3)(13)(3.14)(36)
V=(13)(3.14)(12)
V=(3.14)(156)
V=489.84 cubic units
