Answer:
Domain: All Real numbers
CoDomain : All Real numbers
Range: 
; that is: Real numbers larger than or equal to zero
Step-by-step explanation:
Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output. Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.
The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity
But the Range (the actual set of the collection of outputs of the function) is just a subset of the CoDomain consisting of the Real numbers larger than or equal to zero (notice that the drawing of the function touches the x axis and lies completely on the upper half of the plane.
<u>Given</u>:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
<u>Measure of ∠QPR:</u>
The angles QPR and RPS are linear pairs.
Thus, we have;
Substituting the values, we have;
Thus, the measure of ∠QPR is 55°
<u>Arc length of QR:</u>
The arc length of QR can be determined using the formula,
Substituting 
and r =15, we get;
Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.
Answer:
Step-by-step explanation:
Hello there, to answer this question, one must know the formula of area of a circle.
1. Use formula for area of circle to find area of base of cylinder
2. Multiple area of base with height of cylinder for volumne
Area = pi * r * r
Cylinder A:
Area: pi * 6 * 6 = 113.1 inches square
Volumne = Area * Height = 113.1 * 4 = 452.4 inches cube
Cylinder B:
Area: pi * 5 * 5 = 78.54 inches square
Volumne = Area * Height = 78.54 * 5 = 392.7 inches cube
Cylinder C:
Area: pi * 4 * 4 = 50.27 inches square
Volumne = Area * Height = 50.27 * 6 = 301.62 inches cube
Answer:
The first answer is 36 and the second is 80 because each pattern increases by one tile longer and wider so pattern 4 would be 4 by 4 so there would be 16 square tiles and 16 circular tiles and pattern 5 would have 25 square tiles and 20 circular tiles.
Harold works at a men,s clothing store which marks up its retail clothing by 27%. The store purchases pants for 74.00 suit jackets for 325.00 and dress shirts for 48.00 how much will Harold charge a customer for two pairs of pants ,three dress shirts and a suit jacket?
<span>Y= Retail price
</span>X= Purchase Price
Formula: Y= X(1 + 0.27)
Pants: $74.00 x 1.27 = 93.98
Dress: $325.00 x 1.27 = 412.75
Shirt: 48.00 x 1.27 = 60.96
2 pants: $93.98 x 2 = $187.96
3 dresses: $412.75 x 3 = $1,238.25
1 suit jacket: $60.96 x 1 = $60.96
187.96
1,238.25
<span>+ 60.96
</span>1,487.17
Harold would charge a customer $1,487.17 for <span>two pairs of pants, three dress shirts and a suit jacket at a markup price of 27%</span>
