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fgiga [73]
4 years ago
14

A fish tank is filled with water.The tank holds 150 gallons.Each cubic foot of water contains about 7.5 gallons.The rank is 5 fe

et long and 3 feet high.what is the width of the tank
Mathematics
1 answer:
san4es73 [151]4 years ago
6 0

Answer:

Width = 1\frac{1}{3} ft

Step-by-step explanation:

The tank holds 150 gallons of water.

7.5 gallons holds 1 ft³ of water.

So 150 gallons will hold;

\frac{150}{7.5} × 1 ft³ = 20 ft³

The volume of the tank = Length(l) × Width(w) × Height(h) = 20 ft³

i.e 5 ft × w × 3 ft = 20 ft³

15w ft² = 20 ft³

w = \frac{20 ft^3}{15 ft^2} =  1\frac{1}{3} ft

You might be interested in
If a1=7 and d=28, find a9
Mariulka [41]

Answer:

63

Step-by-step explanation:

Since a1=7 and the question is to find a9, you just have to multiply 7 and 9 which is 63

6 0
3 years ago
Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1
belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            F(x) = \int\limits^a_b {f(x)} \, dx

By using integration formula

\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 \int\limits^6_^-6} (x^{5}  + 8 x^{4}  + 2 x^{2}  + 5 x + 15) )dx

<em>On integration , we get</em>

=   (\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}

F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)

= (\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))

After simplification and cancellation we get

 =  \frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6

on calculation , we get

= \frac{124,416}{5} + \frac{864}{3} + 180

On L.C.M  15

= \frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0
3 years ago
a person driving along the road moves rates of 56 miles per hour driven.How far does the person drive in 1.5 hours?
givi [52]
84 miles.
You just have to take half of 56 (28) and add it to 56 to get 84

8 0
3 years ago
I will mark you as brainlis if you andwer this all.
dimaraw [331]

Answer: See below

Step-by-step explanation:

27.  -(a-3)

28.  (b-1)(b+3)

29.  (c+4)(c+5)

30.  d(d+5)

31.  -(3/4)(2e-5)

Sorry - I don't have time to enter the details.  Look for areas where the expressions can be factored in a manner that forms as many equivalent expressions in both the numerator and denominator.

For example:  In problem 30:

(5d-20)/(d^2+d-20) * [??]/20d = 1/4

Factor:  

  <u>(5(d-4))</u>       <u>d(d+5)</u>        = 1/4

(d-4)(d+5<u>)</u>       20d

The (d-4), d+5, and d terms cancel, leaving

5/20 = 1/4

7 0
2 years ago
I literally have no clue how to do this.
timurjin [86]

Answer:

Step-by-step explanation:

Sine is opposite divided by the hypotenuse.

sin(30) = 9/y

1/2 = 9/y

y = 18

Cosine is adjacent divided by the hypotenuse

cos(30) = x/18

\frac{\sqrt{3} }{2}=x/18\\x=9\sqrt{3}=15.6

3 0
3 years ago
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