All categories

2 years ago

what is the area and perimeter of the figure with the given vertices? (7,8) , (-5, -8) , (7,-8) , (-5,8)?

Mathematics

1 answer:

MArishka [77]2 years ago

6 0

Answer:

perimeter: 56 units
area: 192 square units

Step-by-step explanation:

We assume you're interested in the convex polygon, so the given vertices are <em>not</em> listed in order around the figure.

The figure is 12 units by 16 units, so has a perimeter of ...

P = 2(L +W)

P = 2(16 +12) = 56 . . . . units

and an area of ...

A = LW

A = (16)(12) = 192 . . . . square units

You might be interested in

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Julli [10]

Answer:

ieieeieiwieijejekekekkekkoeeo

5 0

2 years ago

The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width

liraira [26]

Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm

8 0

3 years ago

Air pressure may be represented as a function of height (in meters) above the

denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$

7 0

3 years ago

The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 100%

Oduvanchick [21]

Answer:

you will 180 pints of the 100% juice and 540 pints of the 40% juice

Step-by-step explanation:

in order to get a 55% mixture you must combine 1 100% and 3 40%

100 + 120 = 220 then divide by 4 and you get 55% juice

now you must use 180 100% juice and 540 40 % juice to make 180 pints

you need this because the ratio is 3 40% to every 1 100%

5 0

3 years ago

What is the width of a rectangle with an area of 5/8in2 and a length of 10 inches

Tju [1.3M]

A=lw

5/8=10w

w=1/16

Hope this helps :)

3 0

3 years ago