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ale4655 [162]
3 years ago
13

Like the polar bear, the walrus is a fine swimmer, though it does not have the same endurance. For short periods of time, a walr

us can swim with an average speed of 9.7 m/s. How far would a walrus swim at this speed in 3.4 minutes?
Mathematics
1 answer:
Cloud [144]3 years ago
4 0

The swimmer will be 1978.8 m far.

Step-by-step explanation:

The formula to apply here is; speed = distance/time

So in this case, distance =speed * time

Speed = 9.7 m/s

Time = 3.4 minutes ⇒change to seconds, multiplying by 60 sec

Time=3.4×60 = 204 seconds

Distance = 204 × 9.7 = 1978.8 m

Learn More

To find speed : brainly.com/question/1566217

Keywords: speed

#LearnwithBrainly

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D-x-2%20%7D%7Bx-5%7D" id="TexFormula1" title="f(x) = \fra
Umnica [9.8K]

The given function is

f(x)=\frac{x^2-x-2}{x-5}

i) We factor the numerator to obtain;

f(x)=\frac{(x-2)(x+1)}{x-5}

The vertical asymptote is where the denominator is zero.

V.A: x=5

ii) The roots are the zeros of the numerator;

Roots:

x^2-x-2=0

(x-2)(x+1)=0

x=2,x=-1

iii) At y-intercept x=0.

Put x=0 into the function and solve.

f(0)=\frac{0^2-0-2}{0-5}

f(0)=\frac{-2}{-5}

f(0)=\frac{2}{5}

Y-int: \frac{2}{5}

iv) Horizontal asymptote.

This is an improper rational function.

It has no horizontal asymptote.

v) Holes:

The given rational function has no common factors in both the numerator and the denominator.

Therefore the function has no holes.

6) For oblique Assymptote, we divide using lond division or synthetic division;

     1   -1    -2

5|  <u>      5   20</u>

     1    4    18

The quotient is x+4

The  oblique asymptote is

y=x+4

6 0
3 years ago
Heya! ツ
fiasKO [112]

Answer:

See Below.

Step-by-step explanation:

In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.

We want to prove that I) AE = CE and II) BE = DE

First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.

Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:

\stackrel{\frown}{AB }\, \cong\, \stackrel{\frown}{CD}

Arc AB is the sum of Arcs AD and DB:

\stackrel{\frown}{AB}=\stackrel{\frown}{AD}+\stackrel{\frown}{DB}

Likewise, Arc CD is the sum of Arcs CB and DB. So:

\stackrel{\frown}{CD}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}

Since Arc AB ≅ Arc CD:

\stackrel{\frown}{AD}+\stackrel{\frown}{DB}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}

Solve:

\stackrel{\frown}{AD}\, \cong\,\stackrel{\frown}{CB}

The converse tells us that congruent arcs have congruent chords. Thus:

AD\cong CB

Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:

\angle ADC\cong \angle CBA

Additionally:

\angle AED\cong \angle CEB

Since they are vertical angles.

Thus:

\Delta AED\cong \Delta CEB

By AAS.

Then by CPCTC:

AE\cong CE\text{ and } BE\cong DE

5 0
2 years ago
Read 2 more answers
To prepare for a party, Abby poured 0.45 liter of juice into each of several cups. Altogether she poured 9 liters of juice into
saw5 [17]

Answer:

20 cups

Step-by-step explanation:

divide 9 by .45 and you get 20

5 0
3 years ago
An hourly salary of $45 is equivalent to what annual salary? Assume a 35-hour work week. ​
KonstantinChe [14]

Answer:

82,125.0675

Step-by-step explanation:

45 money per hour times 35 that ir hours on a week equal 1575 times 52.1429 that is amount of weeks on a year equal 82,125.0675

7 0
3 years ago
Read 2 more answers
2) through:(-1,-1), slope = -4
IRISSAK [1]
? Hm maybe the slope would be -4 over 1
6 0
2 years ago
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