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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

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1. Michael and 6 friends went to the movies. There, they each bought movie tickets and a bag of popcorn to share among them all.

Aleonysh [2.5K]

Answer:

The variable is t

t represent the cost of movie tickets

Step-by-step explanation:

Given:

Total cost = 7t + 4.50

The variable is t

Michael + 6 friends = 7 people

4.50 represent the cost of popcorn

t represent the cost of movie tickets

For instance,

If the cost of a movie tickets is $2

Then,

t = 2

Total cost = 7t + 4.50

= 7(2) + 4.50

= 14 + 4.50

= 18.50

Total cost = $18.50

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3 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

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3 years ago

I need help with 9-81 ASAP PLS THIS IS MY HW

Yuri [45]

It is -72 lol. that's pretty basic you know

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3 years ago

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How much would $300 invested at 7% interest compounded continuously be worth after 4 years

marissa [1.9K]

The formula of compound continuously is
A=p e^rt
A future value?
P present value 300
R interest rate 0.07
T 4 years
E constant
A=300×e^(0.07×4)
A=396.94 round your answer to get
A=397

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3 years ago

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Kitty [74]

Answer:

He can make 3 batches of soup.

Step-by-step explanation:

Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:

10-2.8 = 7.2 pounds left.

0.2 is read as "two tenths," so 7.2 = 7 2/10

We divide this remaining number of pounds by 2 2/5 for each batch of soup:

7 2/10 ÷ 2 2/5

Convert each to an improper fraction:

72/10 ÷ 12/5

Multiply by the reciprocal:

72/10 × 5/12 = 360/120 = 3

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3 years ago

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