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3 years ago

Tomas drew a rectangle with an area of six square centimeters what is the greatest possible perimeter for this rectangle

Mathematics

1 answer:

cricket20 [7]3 years ago

7 0

Answer:

Perimeter=10

Step-by-step explanation:

The reason i got this was because a rectangles area is base times hight. Also if you draw a rectsngle and make it into 3 rows and 2 colums the area would be 6, and if you count the outside not including the very corners, you will get a perimeter of 10

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I would really appreciate help with the following, along with work shown so I can understand how these were solved.

Alja [10]

First, you have to know the double angle formula:

sin 2A = 2 sin A cos A

cos 2A = cos² A − sin² A = 2 cos² A − 1 = 1 − 2 sin² A

tan 2A<span> = 2 tan </span>A<span> / (1 − tan² </span>A)

Next, find the other leg: 17^2-15^=64, √64 is 8, so the unknown leg length is 8.

sinα=15/17, cosα=8/17, tanα=15/8

sinβ=8/17, cosβ15/17, tanβ=8/15

Plug these values in the above formula, you'll have your answers.

For the half angles, know the half-angle formula:

sin(B/2) = ± √<span>(1 − cos B)/2</span>

cos(B/2) = ± √<span>(1 + cos B)/2</span>

tan(B/2) = (1 − cos B) / sin B<span> = sin </span>B<span> / (1 + cos </span>B)

refer to this website for details:

<span>https://brownmath.com/twt/double.htm
</span>

For the power reduction formula, please search for it. I tried to copy and paste here, but it wouldn't paste.

for number 4, factor the quadratic equation into (cscx-8)(cscx+1)=0

cscx=8 or cscx=-1

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6 0

3 years ago

If a spinner is spun 5 times then each event is independent <br><br> True or false?

steposvetlana [31]

Answer:

True

Step-by-step explanation:

Each time a spinner is spun, there is an equal chance that each result will occur, thus each of these spins are independent.

8 0

3 years ago

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What is the quotient? x-3 divided into 4x2+3x+2

EastWind [94]

So I just set up a division for this question. I hope this helped and ask for any further help.

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3 years ago

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What is the Volume of the square pyramid? (Round to the nearest tenth as needed)

GrogVix [38]

<h3><u>given</u><u>:</u></h3>

base= 25mm

height= 28mm

the volume of the pyramid.

<h3><u>solution</u><u>:</u></h3>

v= a^2 h/3

v= 25^2 28/3

v= 5833.33333

v= 5833.3mm^3

8 0

2 years ago

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Someone help and please answer it fully

IRINA_888 [86]

Answer:

No, Matt did not solve the equation correctly

Correct Answer: x = 8

Step-by-step explanation:

4(x + 2) = 30

Step 1: Distribute

4x + 2 = 30 $=>$ This is his mistake, he should completely distribute 4

to x and 2

Step 2: Subtract 2 from both sides/Isolate x

4x = 28 $=>$ This part is done correctly, but wrong because of Step 1

Step 3: Divide both sides by 4

x = 7 $=>$ This is correct, but again, he messed up on Step 1

<h3>Let's find the correct answer to this equation:</h3><h3>4(x +2) = 30</h3>

Step 1: Distribute

Remember to distribute 4 to all terms in the parenthesis.

4(x + 2) = 4(x) + 4(2)

= 4x + 8

4x + 8 = 30

Step 2: Subtract 8 from both sides/Isolate x

Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides $=>$ (opposite operation of adding 8)

4x + 8 = 30

4x = 30 - 8

4x = 32

Step 3: Divide both sides by 4/Isolate x

Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself

4x = 32

4(x) = 32

x = 32 ÷ 4

x = 8

-Chetan K

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