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Lynna [10]
3 years ago
10

Carl wants to fill up his fish tank with water. To determine the amount of water that it will take to fill the tank, Carl needs

to calculate the ____________ of the tank. A) area B) volume C) perimeter D) lateral area
Mathematics
2 answers:
Grace [21]3 years ago
7 0
Volume
i believe im not certain tho

vitfil [10]3 years ago
6 0
Carl needs to find the (B) Volume of the fish tank
Hope this helped!!
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Use distributive property to simplify. 10(-8s-k) just need to check if -80s-10k is correct.
Nitella [24]
10(-8s-k)
(10) (-8s + -k)
(10) (-8s) + (10) (-k)
= -80s - 10k
= -10k-80s
6 0
3 years ago
You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 15 km/hr and your
Viefleur [7K]

Answer:

a)

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b) the  foot have to be 3.32 rev/sec faster

Step-by-step explanation:

Given that:

the speed of the bike = 15 km/hr = 15 × 1000/3600 (m/sec) = 4.167 m/sec

radius of the circle when the foot moves = 20 cm = 0.2 m

radius of the circle above the ground = 30 cm = 0.3 m

Let assume that:

x(t)  should represent the vector along the horizontal moment

y(t) should be the vector along the vertical moment

The initial component will be ( 0, 0.3)

We know that the radius of the circle is given as 0.2 m, So the vector of the circle can be written as (0.2 cos t , 0.2 sin t )

Also, the foot makes one revolution in a second, definitely the frequency of the revolution = 1 and the vector for the circle is ( 0.2 cos (2πt), -0.2 sin  (2πt)), due to the fact that the foot moves clockwise.

Thus, adding all the component together ; we have:

(x(t), y(t)) = (0,0.3)+(4.167 t , 0)+(0.2 cos (2πt), -0.2 sin  (2πt))

(x(t), y(t)) = (4.167 t + 0.2 cos (2πt), 0.3 - 0.2 sin  (2πt))

Hence; the parametric equations are:

x(t) = ( 4.167 t + 0.2 cos (2πt))

y(t) = ( 0.3 - 0.2 sin  (2πt))

b)

The linear speed of rotation is :

15km/hr = 15 × 100, 000/3600 (cm/sec)

             = 416.7 cm/sec

The rotational frequency is :

= 416.7/2πr

= 416.7/2(3.14 × 20)

= 3.32 rev/sec

Hence, the  foot have to be 3.32 rev/sec faster in rotating if an observer standing at the side of the road sees the light moving backward.

4 0
3 years ago
Read 2 more answers
What is the equation of a line parallel to y=4 that passes through point (9,8)
sweet [91]

Step-by-step explanation:

the equation is y=8

check the image above

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2 years ago
Which equation is equivalent to −4y = 12x + 24?
AnnyKZ [126]

Answer:

3x+y= -6

Step-by-step explanation:

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3 years ago
Which equations have no solution? Check all that apply.
charle [14.2K]
Remember, |n|≥0 for all real numbers n

so

-|x|=0
times -1
|x|=0
true, x=0, has a solution

|x|=-15
false, can't have negative absolute value

-|x|=12
|x|=-12
false, no negative absolute value

-|-x|=9
|-x|=-9
false, no negative absolute value

-|-x|=-2
|-x|=2
x=2 or -2
true, has solutions



the ones that have no solutions are
|x|=-15
-|x|=12
-|-x|=9
5 0
3 years ago
Read 2 more answers
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