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topjm [15]
3 years ago
13

Greg builds a new pond which has a volume of 7.35 m3. It is 4.2 m long and 50 cm deep. What is the width of the pond?

Mathematics
2 answers:
Andrews [41]3 years ago
6 0

Answer: 3.5 meters

Step-by-step explanation:

Given : The volume of a new pond = 7.35\ m^3

The length of a new pond = 4.2 m

The depth of the pond = 50 cm =0.5 m

Let the width of the pond be 'w'.

The volume of cuboid is given by :_

V=l\times h\times w\\\\\Rightarrow\ 7.35=4.2\times0.5\times w\\\\\Rightarrow\ w=\dfrac{7.35}{0.5\times4.2}\Rightarrow\ w=3.5

Hence, the width of the pond = 3.5 meters

Morgarella [4.7K]3 years ago
3 0

volume = length x width x depth

50cm = 0.5 m

7.35 = 4.2 x 0.5 x X

7.35 = 2.1 x  X

x = 7.35 / 2.1

x = 3.5

width = 3.5 meters


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The function f(t) = 1100(0.9945)^t represents the change in a quantity over t weeks. What does the constant 0.9945 reveal about
TEA [102]

Answer:

As t increases, the quantity reduces

Step-by-step explanation:

Given

f(t) = 1100(0.9945)^t

Required

What does the rate (0.9945) reveal about the function

From the given function, the rate b is:

b = 0.9945

When b has the following range:

0

Then, it means there is a reduction

<em>In other words, as the number of weeks (t) increases, the quantity (f(t)) reduces</em>

8 0
3 years ago
Find the coordinates of point B that lies along the directed line segment from A(-5, 2) to C(11, 0) and partitions the segment i
olga2289 [7]

Answer:

B ( 5 , 3/4 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

                    A ( -5 , 2 )              C ( 11, 0 )

The point B lies on the line segment from A to C. The ratio of segment given is:

                               AB / BC = 5 / 3

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AC. We will first determine the direction vector ( d ) that is parallel to the line AC as follows:

                  d = OC - OA

                  d = < 11, 0 > - < -5,2 >

                  d = < 16 , -2 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point C is expressed as:

                 < x , y > = OA + t*d

                 < x , y > = < -5, 2 > + t* < 16 , - 2 >  

The above equation satisfies all the points that lies on the line AC. To determine the coordinates of ( B ). We will plug in the appropriate value of parameter ( t ) and evaluate. We are given the ratio 5:3.

So point B is 5/8 th the magnitude of the distance AC from A. Hence, t = 5/8 as follows:

                < x , y > = < -5 , 2 > + ( 5/8 ) * < 16 , -2 >

                < x , y > = < -5 , 2 > + < 10 , -5/4 >

                < x , y > = < 5 , 3/4 >   ... Answer

4 0
3 years ago
What is the equation of a vertical ellipse with a major axis= 20 and a minor axis = 14?​
Sunny_sXe [5.5K]

\bold{\text{Answer:  b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}

<u>Step-by-step explanation:</u>

The ellipse is vertical so y has the biggest radius.

Major axis (y) = 20 so the y-radius is 20/2 = 10

Minor axis (x) = 14 so the x-radius is 14/2 = 7

The equation of an ellipse is:   \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1   where

  • (h, k) is the center of the ellipse
  • a is the x-radius
  • b is the y-radius

Given: a = 7, b = 10

Assume: (h, k) = (0, 0)

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