Answer:
19/40 1.9x0.25=0.475= 19/40
Answer:
n = 0 or 10
Step-by-step explanation:
From the question,
Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1
Coordinate of the circle = (6,n)
From the question
x = 6, y = n
Substitute the value of x and y into equation 1
(6-1)²+(n-5)² = 50
5²+(n-5)² = 50
25+(n-5)² = 50
(n-5)² = 50-25
(n-5)² = 25.
Solving for n
n-5 = √(25
n-5 = ±5
Either,
n-5 = -5
n = -5+5
n = 0
or
n-5 = +5
n = 5+5
n = 10
To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the arc length, which is:
arc length=(angle)(radius)
2- As you can see, <span>the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:
</span>
The angle is:
1 1/2 radians=1.5 radians
3. When you susbtitute these values into the formula, you obtain:
arc length=(1.5 radians)(5 yards)
arc lenght=7.5 yards
4. Therefore, the answer is: 7.5 yards.
Answer: 115 degrees
Step-by-step explanation:
Since a kite has one pair of opposite angles which are congruent, W and Y must be congruent because X and Z are not.
The sum of the angles in any quadrilateral is 360 degrees. We know two of the angles as 90 degrees and 40 degrees, so the sum of the other two angles must be 360-90-40 = 230 degrees.
We know that W and Y must be equal so each of them is equal to 230/2 degrees = 115 degrees.
