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yarga [219]
3 years ago
5

What does the area of the base of the ice block need to be for the given volume and height? Enter your answer in the box. A pyra

mid with a rectangular base has a volume of 480 cubic inches and a height of 10 inches. The width of the rectangular base is 9 inches. Find the length of the rectangular base.
Mathematics
1 answer:
borishaifa [10]3 years ago
5 0

Answer:

length= 26 inches

Base Area= 144 inches²

Step-by-step explanation:

Given:

Volume 'V' = 480 inches³

Height 'h'= 10 inches

Width 'w'= 9 inches

Required:

Base Area 'B'=?

Length 'L'=?

Volume can be determined by:

V= 1/3 x lwh

480= 1/3 x l x 9 x 10

l= 16 inches.

Base area is given by:

B= l x w => 16 x 9

B= 144 inches²

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Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each vector is unknown, what is t
aliina [53]
C it look and is more right than the others
6 0
3 years ago
The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing
Allushta [10]

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

6 0
3 years ago
Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
pashok25 [27]
<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1}  }

<u>Substitute the coordinates of the given points:</u>

\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10  }

<u>Simplify the equation to determine the slope:</u>

\implies \text{Slope} = \dfrac{0}{-3 - 10  }

∴ 0 divided by ANY number is ALWAYS 0.

\implies \text{Slope} =0

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

  • x₁ and y₁ are the coordinates of any given point.
  • m is the slope

<u>Substitute the values in the point slope form:</u>

\implies \text{Equation of line:} \ y - y_{1}  = m(x - x_{1} )

\implies \text{Equation of line:} \ y - 2  = 0(x - 10)

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

\implies \text{Equation of line:} \ y - 2  = 0

\implies \text{Equation of line:} \ y   = 0 + 2

\implies \text{Equation of line:} \ y   = 2

Thus, the equation of the line is y = 2.

5 0
2 years ago
Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b
elixir [45]

Answer:

y = 5x + 8

Step-by-step explanation:

Start with y = mx + b:  general slope-intercept form, equation of a line:

Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):

8 = 5(0) + b.  Then b must be 8, and the desired equation is

y = 5x + 8

3 0
2 years ago
A bag contains 3 red pens 5 blue pens and 2 black pens a pen is selected at random and is not replaced what is the probability o
LUCKY_DIMON [66]

Answer: 1/6

Step-by-step explanation:

4 0
2 years ago
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