Answer:
see explanation
Step-by-step explanation:
(a)
OC = OB ( both radii of the circle )
Thus Δ BOC is isosceles with congruent base angles.
∠ BOC = ∠ BCO = 50°
(b)
∠ ACB = 90° ( angle in a semicircle ), then
∠ ACO = 90° - 50° = 40°
OA = OC ( both radii of the circle )
Thus Δ ACO is isosceles with congruent base angles.
∠ BAC = ∠ ACO = 40°
- Length (l) = 45 m
- Breadth (b) = 30 m
- We know, perimeter of a rectangle = 2(length + breadth)
- Therefore, perimeter of the rectangle
- = 2(I + b)
- = 2(45 + 30) m
- = 2 × 75 m
- = 150 m
- So, the distance travelled by Rubina
- = 4 × 150 m
- = 600 m
<u>Answer:</u>
<em><u>The </u></em><em><u>distance </u></em><em><u>travelled</u></em><em><u> </u></em><em><u>by </u></em><em><u>Rubina </u></em><em><u>is </u></em><em><u>6</u></em><em><u>0</u></em><em><u>0</u></em><em><u> </u></em><em><u>m.</u></em>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Check the picture below
notice, if the "r" and "h" is the same for both, the cone's volume is just 1/3 of the cylinder's
Answer:
x=2 and y=36
Step-by-step explanation:
you have two equations
1) xy=72 and 2) (x+2)(y-4)=128
solve for one of the variables in equation 2), lets do y
(x+2)(y-4)=128, divide by (x+2) to both sides and add 4 to isolate variable y
therefore, y=(128/(x+2))+4
then plug in y into equation 1)
so x(our new y)=72
x( 128/(x+2) +4 )=72
distribute the x so you will get
(128/(x+2))x +4x=72
we are now solving for x, so isolate the x by subtracting 4x and multiplying by (x+2) to get
128x=(x+2)(72-4x)
multiply by distribution and combine like terms
-4x^2 -64x +144 =0
solve for x by quadratic formula, you'll get x=2 or x=-18
substitute back into equation 1), (2)(y)=72, solve for y to get 36
then you can check by substituting back into equation 2)
(2+2)(36-4)=128
(4)(32)=128, 128=128
Answer:
v = 12 km/h
Step-by-step explanation:
To find how much she should increase the speed first we need to find the distance traveled:
Where:
d: is the distance traveled =?
v: is the velocity = 8 km/h
t: is the time = 15 min (9:00 to 9:15)
Now, we can find the speed:
Therefore, she should increase the speed to 12 km/h to reach the office at 9:10 am.
I hope it helps you!
