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:
Step-by-step explanation:
<u>Rational Inequality</u>
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:
Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:
Operating:
The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
Answer:
6 hours
Step-by-step explanation:
What you have to do is find the unit rate, which would be 20/40 which is .5 ( half an hour, 30 mins ) . Then you would do 30 x 12 = 360 ( 6 hours ).
Given:
The given statement are:
a. Eight less than the product of seven and x.
b. The sum of six and the product of three and d.
To find:
The expression for the given statements.
Solution:
a.
Product of 7 and x is 7×x = 7x.
Eight less than the product of seven and x is 7x - 8.
Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.
b.
Product of 3 and d is 3×d = 3d.
The sum of six and the product of three and d is 6+3d.
Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.
The coefficiant in the expression is the "c" next to the 2
