Answer: 38.5 cm^2
Step-by-step explanation:
Length of wire = 7*2 + 4*2 = 22 cm
Radius of Circle = 22/(2pi) = 3.5 cm
Area of Circle = (3.5)^2*pi = 38.5 cm^2
X^5-15x^4y+90x^3y^2-270x^2y^3+405xy^4-243y^5
Answer:
π/8 radians
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?
SOLUTION
✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.
Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)
Within the 1hour minutes, the hand can move with complete cycle of 2π radians
Then At time t= 45minutes
Angle through the circle at 45 minutes= 45/60 ×2π radians
= 3π/2 radians
And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians
For t=45 minutes
Then 1/12 × 2π ×45/60
= π/8 radians
Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.
Sum of interior angles of a triangle = 180
so
<span>third angle = 180 - 78 - 49 = 53
</span>
Answer:
$4000, $5600 and $7200
Step-by-step explanation:
Let the money be 5x,7x and 9x.
Total collection of money is $16,800
ATQ,
5x+7x+9x=$16,800
21x=$16,800
So, the values are :
5x=5(800) = $4000
7x=7(800) = $5600
9x=9(800) = $7200
