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solmaris [256]
3 years ago
11

Find the volume of a rectangular prism with length 20 m,

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer:

V= 270m³

Step-by-step explanation:

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A man can walk from A to B and back in a certain time at 7 km/hr.If he walks from A to B at 8 km/hr and returns from B to A at 6
DerKrebs [107]
We calculate the speed by dividing the distance over time:
s = d/t
So the distance described in the problem is always the same, A to B and B to A.
But we are told that;
7 = d/t
7 = 2d/(t + 2)
that is, the first equation say that at speed 7 km/h a distance d is walked in a time t
the second equation say that at a average speed of 7 (that is 8 on one way and 6 in the other: 8 + 6 = 14, half of it), twice the distance is walked in a time equal to the first time plus 2 minutes.
So we have a system of linear equations, 2 of them with two unknowns, we can solve that:
7 = d/t
7 = 2d/(t + 2<span>)
</span>lets simplify them:
7t = d
7(t + 2) = 2d
7t = 2d - 14
we substitute the first in the second:
<span>7t = 2d - 14
</span><span>7t = d
</span>so:
d = 2d - 14
d = 14
so the distance between A and B is 14 km
4 0
4 years ago
a particular beach is eroding at a rate of 4 centimeters per year. a realtor converts this rate to millimeters per day. which ex
Over [174]

Answer:

Answer

0.109589 millimeters per day.

Explanation

10 mm = 1 cm

4 cm = 4 × 10

        = 40 mm

365 days = 1 year

rate to millimeters per day = 40 mm in 365 days

                                            = 40/365  mm/day

                                             = 8/73 mm/day

                                       or    = 0.109589 mm/day.

Rate to millimeters per day = 0.109589 millimeters per day.

Step-by-step explanation:

5 0
4 years ago
Given g(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%5E2%2B2x%7D" id="TexFormula1" title="\frac{3}{x^2+2x}" alt="\f
sweet [91]

We know that g(x) = \frac{3}{x^2+2x}

We have to find g^-1(x)  or inverse of g(x)

Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y

g(x) = y = \frac{3}{x^2+2x}

⇒ y × (x² + 2x) = 3

⇒ yx² + 2xy = 3

⇒ yx² + 2yx - 3 = 0

Determining the roots of x using:

x = \frac{-b + \sqrt{b^{2} - 4ac}}{2a} OR x = \frac{-b - \sqrt{b^{2} - 4ac}}{2a} , where a is coefficient of x², b is coefficient of x, and c is the constant

⇒ x = \frac{-2y + \sqrt{4y^2 - 4(2y)(-3)}}{2y} OR x = \frac{-2y - \sqrt{4y^2 - 4(2y)(-3)}}{2y}

⇒ x = \frac{-2y + \sqrt{4y^2 + 24y}}{2y} OR x = \frac{-2y - \sqrt{4y^2 + 24y}}{2y}

Hence, g^-1(x) = \frac{-2y + \sqrt{4y^2 + 24y}}{2y} OR x = \frac{-2y - \sqrt{4y^2 + 24y}}{2y}

7 0
4 years ago
Read 2 more answers
Use the given information to solve the triangle for A = 150°, b = 4.8, a = 9.4
ELEN [110]
Well you can start by drawing a triangle with the information 

the size of angle B can be found using the Law of Sine

\frac{sin(150)}{9.4)}  =  \frac{sin(B)}{4.8}

the size of angle C can be found using angle sum of a triangle. 

The length of side c can be found using the Law of Cosines

c^2 = 4.8^2 + 9.4^2 - 2 \times4.8\times9.4\times  cos(C)

hope it helps
7 0
3 years ago
What is the prime factorization of 147?
Mice21 [21]

Answer:

B. 3×7×7

Step-by-step explanation:

    147

 49 * 3

7 * 7  *  3

8 0
4 years ago
Read 2 more answers
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