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3 years ago

The perimeter of an equilateral triangle is 12 feet find the area of the triangle

Mathematics

2 answers:

expeople1 [14]3 years ago

5 0

I think your answer would be 6.93...idk. It’s kinda hard...!

myrzilka [38]3 years ago

4 0

I think it’s 6.93 but idk man ‍♀️‍♀️‍♀️

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Products produced by a machine has a 3% defective rate. What is the probability that the first defective occurs in the fifth ite

labwork [276]

Answer: The required probability is 0.1328.

Step-by-step explanation:

Since we have given that

n = 5

Probability of success = p = defective rate = 3% = 0.03

Probability of failure = q = 1-p = 1 - 0.03 = 0.97

So, we will use "Binomial distribution":

probability that the first defective occurs in the fifth item inspected would be

$P(X=1)=^5C_1(0.03)^1(0.097)^4\\\\P(X=1)=0.1328$

Hence, the required probability is 0.1328.

6 0

2 years ago

Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

If we solve an equation for a variable x what should our final equation look like ?

Nesterboy [21]

You can solve an easy equation in your head by using the multiplication table.

6 0

2 years ago

The answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step2247 [10]

Yeah The Answer Would Be A=299

6 0

2 years ago

The waiting time to ride a roller coaster is 20 minutes one 150 people in line. How long is the waiting time when 1200 people ar

Serjik [45]

I’m not *completely* sure if this would be right, but it could possibly be:
160
how i got this:
20 = 150
/(divide) 150
0.13(recurring) = 1
x1200
160 = 1200

if you need me to explain anything in detail, please feel free to message! have a nice day:)<3

6 0

2 years ago