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soldier1979 [14.2K]

3 years ago

14

The slope of a given line is 1/3 . What is the slope of a line that is perpendicular to the given line? Type a numerical answer

in the space provided. Do not type spaces in your answer. If necessary, use the / key to represent a fraction bar.

1 answer:

yulyashka [42]3 years ago

7 0

If slope of the line is 1/3, then slope of the perpendicular line should be negative reciprocal, and so it is equal -3.
Answer: -3.

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Which method do you prefer to use to find sums- count by tens and ones, use compatible numbers, or use friendly numbers and adju

Usimov [2.4K]

I prefer to use compatible numbers because by using this method it is easier to make a sum mentally. This is true because compatible numbers are close in value to the actual numbers. For a better understanding, let's take an example:

Suppose you have two numbers, namely 640 and 40. These two numbers are compatible for division because:

64 ÷ 4 = 16

So, we have used mental arithmetic to solve a more complex problem.

7 0

2 years ago

Read 2 more answers

Which of the following does not describe behavior that demonstrates financial responsibility?

zysi [14]

Answer:

you didn't show the following

Step-by-step explanation:

but I'd love to help

7 0

2 years ago

A 2000 gallon fish aquarium can be filled by water flowing at a constant rate in 10 hours. When a decorativve rock is placed in

Elza [17]

Answer:

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock ( $V_{r}$ ), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock ( $V'$ ) minus the volume of the fish aquarium with the decorative rock ( $V''$ ), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

$V_{r} = V' - V''$

$V_{r} = \dot V \cdot (\Delta t_{1}-\Delta t_{2})$ (1)

Where:

$\dot V$ - Flow rate, measured in gallons per hour.

$\Delta t_{1}$ - Filling time of the fish aquarium without the decorative rock, measured in hours.

$\Delta t_{2}$ - Filling time of the fish aquarium with the decorative rock, measured in hours.

And the flow rate is:

$\dot V = \frac{2000\,gal}{10\,h}$

$\dot V = 200\,\frac{gal}{h}$

The flow rate is 200 gallons per hour.

If we know that $\dot V = 200\,\frac{gal}{h}$ , $\Delta t_{1} = 10\,h$ and $\Delta t_{2} = 9.5\,h$ , then the volume of the rock is:

$V_{r} = \left(200\,\frac{gal}{h}\right)\cdot (10\,h-9.5\,h)$

$V_{r} = 100\,gal$

$V_{r} = 13.368\,ft^{3}$

The volume of the rock is 13.368 cubic feet.

8 0

2 years ago

Consider this composite figure made of a cone and a cylinder. A cone has a height of 8 centimeters and radius of 3 centimeters.

dangina [55]

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

Step-by-step explanation:

The given is,

Composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and radius of 3 centimeters.

A cylinder has a height of 7 centimeters and radius of 3 centimeters.

Step:1

Volume of composite figure = Volume of Cone +

Volume of cylinder............(1)

Step:2

Formula for volume of cone,

$Volume of cone, V_{cone} = \pi r^{2} \frac{h}{3}$ ....................(2)

Where, r - Radius of cone

h - Height of cone

From the given,

r = 3 centimeters

h = 8 centimeters

Equation (2) becomes,

$= \pi (3^{2} )(\frac{8}{3})$

$=\pi (9)(2.667)$

= (3.14 × 9 × 2.667) (∵ $\pi$ = 3.1415)

= 75.4

$Volume of cone, V_{cone}$ = 75.4 cubic centimeters

Step:3

Formula for volume of cylinder,

$Volume of cone, V_{cone} = \pi r^{2} h$ ....................(2)

Where, r - Radius of cylinder

h - Height of cylinder

From the given,

r = 3 centimeters

h = 7 centimeters

Equation (2) becomes,

$= \pi (3^{2} )(7)$

$=\pi (9)(7)$

= (3.14 × 9 × 7) (∵ $\pi$ = 3.1415)

= 197.92

$Volume of cylinder, V_{cylinder}$ = 197.92 cubic centimeters

Step:4

Equation (1) becomes,

Volume of composite figure = 75.4 + 197.92

= 273.32 cubic centimeters

Result:

The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.

3 0

2 years ago

Show that the Hessian of a scalar-valued linear transformation<br> isidentically zero.

Darya [45]

Answer:

ok boomer

Step-by-step explanation:

because i said so also ban me if you want i dont care little 1+1

8 0

3 years ago