Answer:
(n+d=53) (.05n+.10d=4.40) :)
A.The rays and the angle have two endpoints each.
B.The rays have a number of points lying on them, and the angle has only one point lying on it.
C. The rays extend infinitely, and the angle is made by the rays which have a common endpoint.
D. The rays and the angle have their lines extending in opposite directions.
Answer:
C. The rays extend infinitely, and the angle is made by the rays which have a common endpoint
Step-by-step explanation:
We are given that Ken had drawn a pair of intersecting rays and have marked the angles between them.
As we know that a ray is a line segment which has one end point and is extended infinitely in one direction.
Moreover, an angle is a figure that is formed by the intersection of two rays which have a common end point.
Now according to the options, we see that in,
A. A ray cannot have two end points.
B. A ray extends infinitely, so having a number of points is not possible.
D. An angle cannot have a line.
So, we see that all the options except C are discarded.
Hence, option C is the best option that compares the pair of intersecting rays with the angle.
Answer: C. The rays extend infinitely, and the angle is made by the rays which have a common endpoint
Step-by-step explanation:
Given: Ken had drawn a pair of intersecting rays and have marked the angles between them.
The definition of angle says that an angle is a shape that is produced by the intersection of two rays that have a common end point.
A ray is a line segment that has only one end point and is extended infinitely in a unique direction .
According to the above definitions , the correct option is C "The rays extend infinitely, and the angle is made by the rays which have a common endpoint.".
week. Her overtime pay is one-and-one-
half times her regular hourly rate. This
past week Martha earned S754.00 in total
рау. .
How many hours of overtime did
Martha work this pas week?
Martha worked approximately 8 hours of overtime during the past week.
Martha's regular hourly rate is $14.50, and she works a regular forty-hour work week. Her overtime pay is one-and-one-half times her regular hourly rate.
Let's break down Martha's earnings for the week:
Regular Earnings (for 40 hours): Regular Hourly Rate × Hours Worked
Regular Earnings = $14.50 × 40 = $580
Total Earnings (including overtime): $754
Overtime Earnings = Total Earnings - Regular Earnings
Overtime Earnings = $754 - $580 = $174
Since Martha's overtime pay is one-and-one-half times her regular hourly rate, we can set up an equation:
Overtime Earnings = Overtime Hourly Rate × Hours of Overtime Worked
Solving for Hours of Overtime Worked:
Hours of Overtime Worked = Overtime Earnings / Overtime Hourly Rate
Overtime Hourly Rate = 1.5 × Regular Hourly Rate
Overtime Hourly Rate = 1.5 × $14.50 = $21.75
Now, plug in the values:
Hours of Overtime Worked = $174 / $21.75 ≈ 8
Martha worked approximately 8 hours of overtime during the past week.
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Answer:
Step-by-step explanation:
14.50*40=580 for reg pay
754-580=174 over time
14.50*1.5=21.75 an hour for ot
174/21.75=8 hours of overtime
Answer:
The other root of the polynomial is 5+7i.
Step-by-step explanation:
According to the complex conjugate root theorem, if a complex number is a root of a polynomial, then its conjugate is also a root of that polynomial.
It means, if a+ib is a complex root of a polynomial, then its conjugate a-ib is also the root of that polynomial.
It is given that the a polynomial has one root that equals 5-7i.
To find the conjugate of a complex number the sign of imaginary part is changed.
The conjugate of 5-7i is 5+7i.
A polynomial has one root that equals 5-7i, using complex conjugate root theorem 5+7i is the other root of this polynomial.
Answer:
The other root is 5 + 7i.
we know that
The volume of a solid right pyramid with a square base is equal to
area of the base is the area of a square
Substitute the values in the formula of volume
solve for the height
therefore
the answer is
3v/y² units
Given:
Question:
Which an expression represents the height of the pyramid?
The Process:
We will solve the problem of a geometric solid.
Let us recall the formula of volume of a right pyramid:
Because the base is square, we use the formula for square area, i.e., side times side.
Let us find out the height of the pyramid.
Thus, an expression represents the height of the pyramid is units
Keywords: the volume of a solid right pyramid, a square, the length of the base edge, an expression, represent, the height, the formula, a geometric solid, units