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3 years ago

The side of an Equileteral triangle is 12cm. What is its Area?

Mathematics

1 answer:

elena55 [62]3 years ago

3 0

Answer:

A = 62.35 cm²

Step-by-step explanation:

Use the area formula A = $\frac{\sqrt{3}a^2}{4}$ , where a is the side length.

Plug in the values:

A = $\frac{\sqrt{3}(12^2)}{4}$

A = $\frac{\sqrt{3}(144)}{4}$

A = 62.35 cm²

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Find the difference of 128.04 - 8.287.

riadik2000 [5.3K]

Answer:

119.753000

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4 0

2 years ago

Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva

Mrac [35]

Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let $h$ the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
$tan \alpha = \frac{opposite.side}{adjacent.side}$
$tan(40)= \frac{h}{3}$
$h=3tan(40)$
$h=2.5miles$

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is $h=3tan(40)$ .

4 0

2 years ago

X - y = 2 4x – 3y = 11

swat32

Answer:

For x - y = 2

You need to find x or y in one of the equations and then substitute that into the other.

So we have;

x-y=2

4x-3y=11

We will take the first equation and find x;

x-y=2

add y to both sides;

x-y+y=2+y

x=2+y

Now we take that answer and substitute it forx in the other equation;

4(2+y)-3y=11

8+4y-3y=11

8+y=11

y=3

Now we have what y equals, so we use it in the first equation to find x;

x-3=2

x=5

So we have;

x=5; y=3

Hope you understand!

And for 4x – 3y = 11

Multiply the first equation by 2 and the second by 3 so that there are the same number of y's in each:

8x - 6y = 22 ...(3)

30x + 6y = -3 ...(4)

Now add (3) and (4) term by term:

38x + 0 = 19

38x = 19

or x = 1/2

Put this back into equation (1)

4*(1/2) - 3y = 11

2 - 3y = 11

Subtract 2 from both sides:

-3y = 9

Divide both sides by -3

y = -3

6 0

2 years ago

Read 2 more answers

Elda has a rectangular piece of paper with an area of 0.12m squared. She cuts this piece of paper into small rectangles each wit

Lisa [10]

The maximum number is 6.

7 0

2 years ago

12=10(s+4)+50 what is the written problem to this can you help me with the answer

muminat

Answer:

s = -7.8

Step-by-step explanation:

from the question 12=10(s+4)+50

first step

open the bracket and evaluate for the value of s

12=10(s+4)+50

12 = 10s + 40 + 50

12 = 10s + 90

collect or combine the like terms

12-90 = 10s

-78 = 10s

divide both side by 10

-78/10 = 10s/10

-7.8 = s

therefor s = -7.8

8 0

2 years ago