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Andreas93 [3]
3 years ago
9

Can you please Solve this for me?

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

(1) 1.375 (2)  -1.5

Step-by-step explanation:

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A motorboat that travels with a speed of 20 km/hour in still water has traveled 20 km against the current and 180 km with the cu
Gala2k [10]
Recall your d = rt.  distance = rate * time.

let's say the speed of the current is "c".

keeping in mind that, when the boat is going against the current, the boat is not really going at 2kmh, but instead at " 20 - c ", because the current is subtracting speed from it.

Likewise when is going with the current, is going at a speed of " 20 + c ".

if the boat took say "t" hours on the way over, on the way back it took the slack from the whole 8 hours and "t", namely it took " 8 - t " hours.

\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{against the current}&20&20-c&t\\
\textit{with the current}&180&20+c&8-t
\end{array}
\\\\\\
\begin{cases}
20=(20-c)(t)\implies \frac{20}{20-c}=t\\
180=(20+c)(8-\stackrel{\downarrow }{t})\\
--------------\\
180=(20+c)\left( 8- \stackrel{\downarrow }{\frac{20}{20-c}}\right)
\end{cases}
\\\\\\
180=(20+c)\left( \cfrac{(160-8c)-20}{20-c} \right)

\bf 180=(20+c)\left( \cfrac{140-8c}{20-c} \right)\implies 180(20-c)=(20+c)(140-8c)
\\\\\\
3600c-180c=2800-160c+140c-8c^2
\\\\\\
3600c-180c=2800-20c-8c^2
\\\\\\
3600c-180c-2800+20c+8c^2=0\implies 8c^2-160c+800=0
\\\\\\
c^2-20c+100=0\implies (c-10)(c-10)=0\implies \boxed{c=10}
8 0
3 years ago
Unit 8 Correlation and Regression
julsineya [31]
Wait can someone answer this I need help too
7 0
3 years ago
A trapezoid has an area of 95 square meters. If the bases are 7 meters and 12 meters what is the height of the trapezoid
Colt1911 [192]

ANSWER

The is 10 is meters

EXPLANATION

The area of a tra-pezoid can be calculated using the formula;

Area= \frac{1}{2} \times  (sum \: of \: bases) \times height

We substitute the values to get,

95= \frac{1}{2} \times  (7 + 12) \times height

2 \times 95= 19 \times height

\frac{190}{19}  = height

height = 10

The height is 10 meters.

6 0
3 years ago
HELP FAST PLEASE!!<br> FIND THE SURFACE AREO OF EACH RECTANGULAR PRISM
tatyana61 [14]

The surface area of the rectangular prism is 3668.94 m²

<h3>Calculating Surface area </h3>

From the question, we are to determine the surface area of the rectangular prism

Surface area of a rectangular prism is given by the formula,

Surface area = 2(lw + lh + wh)

Where l is the length

w is the width

and h is the height

From the given diagram,

l = 35.7 m

w = 25.5 m

h = 15.1 m

Putting the parameters into the formula, we get

Surface area = 2(35.7×25.5 + 35.7×15.1 + 25.5×15.1)

Surface area = 2(910.35 + 539.07 + 385.05)

Surface area = 2(1834.47)

Surface area = 3668.94 m²

Hence, the surface area of the rectangular prism is 3668.94 m²

Learn more on Calculating surface area here: brainly.com/question/1310421

#SPJ1

8 0
2 years ago
Create an equation and solve. The cost of a concert ticket for a student is $2 less than one half of the cost for an adult. The
Sonja [21]

Answer: a=14

Step-by-step explanation:

Equation: 5=1/2a-2

7 0
3 years ago
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