Shaded=big rectangle-white rectangle
area recangle=base times height=(x+10) times (2x+5)=2x²+25x+50
area white=(x+1) times (x+1)=x²+2x+1
big-white=(2x²+25x+50)-(x²+2x+1)=
2x²+25x+50-x²-2x-1=
x²+23x+49
de area is x²+23x+49
R=rate of boat in still water
c=rate of current
d=rt
since you're given that the time it takes to travel the same distance downstream and upstream, your equation will be d_1=d_2, or rt=rt
the rate upstream is r-c and the rate downstream is r+c (because the boat's and river's rates add up)
since you know t_1 and t_1 are 5 and 3, you can now set up 2 equations
<u>5*(r-c)=45</u> because (time upstream)*(rate upstream)=distance=45 miles
r-c=45/5=9
<u>3*(r+c)=45</u>
r+c=45/3=15
r-c=9 and r+c=15, so r=12 mi/h and c=3 mi/h
If you have any questions please ask
Answer:
The difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28
Step-by-step explanation:
First, to make it easier to subtract, let's change these numbers to improper fractions.
4 5/7 = 33/7
1 3/4 = 7/4
Now, we have to find the LCM (least common multiple) between 4 and 7.
4- 4, 8, 12, 16, 20, 24, 28, 32
7- 7, 14, 21, 28, 35, 42, 49
As you can see, the LCM is 28. So, lets change these fractions to have a denominator of 28.
33*4/ 7*4 = 132/ 28
7*7/ 4*7 = 49/ 28
>>132 - 49 = 83
So, the difference between 4 5/7 and 1 3/4 is 83/28 or 2 27/28
Although part of your question is missing, you might be referring to this full question: The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid. Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
The answer to the given question is 9/16. The fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid is 9/16.
<h3>What is Area in Mathematics?</h3>
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. We measure area in square units (cm² or m²). Area is calculated by multiplying the length of a shape by its width.
The ratio of areas of 2 similar squares is the square of the ratios of their similar side lengths. Since the ratio of the smaller side length to the larger side length is 3/4, then the ratio of areas of two similar squares is:
(3/4) ² = 3²/4² = 9/16.
Learn more about area of pyramid at: brainly.com/question/14013519
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141.3 is the answer
hope it helps you
45×3.14(pie)=141.3
