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3 years ago

With a rectangle length of 309 cm.and width of 249cmdoes it have the perimeter of 1500 cm?

1 answer:

7 0

1116 is the perimeter it has. The formula for perimeter is 2l+2w=p
so when you plug the numbers in you get 2(309)+2(249)=1116. So it does not have a perimeter of 1500 cm.

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Solve the following quadratic equation<br>x+12x+36 - 16

Doss [256]

Answer:

x= -2, x= -10

Step-by-step explanation:

x^2 + 12x + 36 = 16

Began by setting this quadratic equation to 0. To do this, in this equation you must subtract.

x^2+12x+20=0

Next, we plug this into the quadratic formula, where a in this case is 1(there is nothing in front of x^2), b is equaled to 12(there is a 12 as the coeefficient of 12x), and c is equaled to 20.

The quadratic formula is as goes:

(-b+-(this means plus or minus)√b^2-4ac)/(2a)

After pluggin in and simplifying, the answer is x= -2 and x= -10

4 0

3 years ago

Solve sin 0 + 1 = cos20 on the interval 0 ≤ 0 < 2pi. Show work please!

yan [13]

Answer:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}\frac{2\pi}{3}\frac{4\pi}{3}$

Step-by-step explanation:

You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.

You will find when you look on your trig identity sheet that

$cos(2\theta)=1-2sin^2(\theta)$

so we will make that replacement, getting everything in terms of sin:

$sin(\theta)+1=1-2sin^2(\theta)$

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

$2sin^2(\theta)+sin(\theta)=0$

We can factor out the sin(theta), since it's common in both terms:

$sin(\theta)(2sin(\theta)+1)=0$

Because of the Zero Product Property, either

$sin(\theta)=0$ or

$2sin(\theta)+1=0$

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:

$\theta=\frac{\pi}{2},\frac{3\pi}{2}$

The next equation needs to first be solved for sin(theta):

$2sin(\theta)+1=0$ so

$2sin(\theta)=-1$ and

$sin(\theta)=-\frac{1}{2}$

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:

$\theta=\frac{2\pi}{3},\frac{4\pi}{3}$

7 0

2 years ago

Can some one plz help me

WARRIOR [948]

#2 because it’s a Pythagorean theorem triple
Sorry I only know that one

4 0

3 years ago

Read 2 more answers

What is the length of the right triangle below in inches?

k0ka [10]

Answer:

6in

Step-by-step explanation:

Using the pythagerous thereom,

10^2 = 8^2 + b^2

b^2 = 10^2-8^2

b^2 = 100-64

b^2 = 36

b = 6

<em>Feel free to mark this as brainliest :D</em>

8 0

2 years ago

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On the exam, Rebecca successfully created 20 out of 25 vases.

juin [17]

$\text{Hello there! :]}$

$\large\boxed{125 \text { vases}}$

$\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25} = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}$

7 0

3 years ago

Read 2 more answers