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balandron [24]
3 years ago
12

A fisherman can row upstream at 5mph and downstream at 10mph he started rowing upstream until he got tired and then rowed downst

ream to his starting point how far did the fisherman rown if the trip took 6 hrs
Mathematics
1 answer:
AlekseyPX3 years ago
8 0

We have been given that the upstream speed is 5 mph and the down stream speed is 10mph.

Let the fisherman traveled a distance of x miles.

The total time of the trip is 6 hours.

Relations between speed (s), time (t) and distance (d) is s = \frac{d}{t}

Hence, t= \frac{d}{s}

Time upstream +  time downstream = 6

\frac{x}{5} +\frac{x}{10} =6

lcm = 10

\frac{2x+x}{10} =6

=> \frac{3x}{10} =6

Cross multiplying, 3x= 60

x = 20 miles .. Answer.

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57 degrees because vertical angles are the same measure
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3 years ago
For the polynomial function ƒ(x) = x4 −25x2, find the zeros. Then determine the multiplicity at each zero and state whether the
AfilCa [17]

<u>ANSWER</u>

The zeros are x=-5,x=0,x=5


EXPLANATION

Given;

f(x)=x^4-25x^2.


We can rewrite the function as


f(x)=x^2(x^2-25)


\Rightarrow f(x)=x^2(x^2-5^2)


\Rightarrow f(x)=x^2(x-5)(x+5)



The zeros are found by equating the function to zero.


\Rightarrow x^2(x-5)(x+5)=0


\Rightarrow (x-5)=0

The multiplicity is 1, since it is odd the graph crosses at this intercept. which is x=5


Or

\Rightarrow (x+5)=0


The multiplicity is 1, since it is odd the graph crosses at this intercept. which is x=-5


Or


\Rightarrow x^2=0


This last root has a multiplicity of 2.

That is

x=0 repeats two times.


Since the multiplicity is even, the graph touches the x-axis at the point x=0.



See graph.









5 0
3 years ago
What is the image point of (1, 4) after a translation left 5 units and down 5<br> units?
Marina86 [1]

Answer:

(-4,-1)

All you have to do to find it is subtract x by 5 and subtract y by 5. :)

4 0
3 years ago
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
stiks02 [169]

Answer:

31\:\text{square units}

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by A=\frac{1}{2}bh and the area of a trapezoid is given by A=\frac{b_1+b_2}{2}\cdot h (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): \frac{1}{2}\cdot 4\cdot 4=8

Area of second triangle (smaller triangle to the figure's right ): \frac{1}{2}\cdot 2\cdot 5=5

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): 4\cdot 2 =8

Area of first triangle (larger triangle to the figure's left): 5\cdot 2=10

Thus, the area of the entire figure is:

8+5+8+10=\boxed{31\:\mathrm{units^2}}

6 0
2 years ago
Question 1/3 There are 85 girls and 70 boys in the sixth grade. Of these students, 14 girls and 8 boys take piano lessons.
Diano4ka-milaya [45]

Answer:

A

Step-by-step explanation:

155-22/155 equal around 86% who don't so meaning 14% do take lessons.

4 0
2 years ago
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