Correct Answer:
C option: 6 feetSolution:Since <span>Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.
Let the depth of pool is x feet. So we can write:
Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
</span>
<span>
This means the depth of pool should be 6 feet if </span><span>Yolanda wants to keep the pool in proportion to the model.</span>
800×0.14=112
112+15=127
(127÷800)*100==15.88%
A dilated shape will either be enlarged or compressed.
<em>Allen did not make any mistake, and the scale factor is 3.</em>
The dimension of the smaller rectangle (figure Z) is:
3 units by 4 units
The corresponding dimension of the bigger rectangle (figure Z') is:
9 units by 12 units
The scale factor (k) is calculated by dividing the dimensions of Z' by Z.
So, we have:
or
Notice that both values of k are the same (i.e. 3)
This means that the scale factor is 3
Also figure Z and Z' share the same center of origin at point X
This means that the center of dilation from Z to Z' is X
Hence,
Allen made no mistake, and she is correct about the scale factor.
Read more about dilations at:
brainly.com/question/13176891
When you see % next to a number, you multiply it by .01.
10 becomes .1
10.5 becomes .105
220*.1=22, so this is the 10% off
220*.105=23.1, so this is the 10.5% service charge.
220-22+23.1=$221.10 for the ticket.
Answer:
People should be knowledgeable about equations and inequalities because they are often used to solve day to day life problems.
Often times real life problems are modeled using equations and inequalities
Step-by-step explanation:
Inequalities are used often in real life, businesses use inequalities to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials. Inequalities are used in engineering and production quality assurance.
An equation is the mathematical representation of those two things which are equal, one on each side of an 'equals' sign. Equations are useful to solve our daily life problem.
