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3 years ago

Can someone answer with steps and explanation? Thanks.

Mathematics

1 answer:

Furkat [3]3 years ago

7 0

Answer: $\color{yellow}{}$

∆ABC

∆DEF

∆ABC

BE>

CF>

AD>

34>

x9×>

A=3.7

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Approximate the value of 44 (Square root) to the nearest hundreth

Svetlanka [38]

I assume that calculators are not allowed, perhaps not even paper and pencil.

With paper and pencil, there is an algorithm to find the square-root of any number accurate to as many digits as we wish. Please post if that is the case.

Without calculator, pen and pencil, we resort to mental arithmetic. Someone with a little practice can memorize or calculate the square of all numbers up to 100, or as many as one can.

Here we can take advantage of exactly the property suggested by Xisca... that is, sqrt(44)=2sqrt(11), which reduces the calculation to more accuracy with a lesser knowledge of the squares of numbers.

As a first approximation, we know that 33*33=1089, or 3.3*3.3=10.89, which is already very close to 11.

Thus a first approximation to sqrt(44)=2sqrt(11)=2*3.3=6.6 (approximately).

To refine the calculation of sqrt(11), we use Newton's approximation, namely

a better approximation is given by 3.3 + (11 - 3.3^2) / (2*3.3) = 3.3+0.11/6.6 = 3.3+1/60

which gives

sqrt(44) = 2(3.3+1/60) = 6.6+1/30 = 6.6333,

actually accurate almost to the nearest 1/10000.

All of the above can be done mentally

For those who need help with rounding to the nearest hundredth (0.01), we drop digits AFTER the 2nd decimal, namely *.**33. If the first digit dropped is 5 or more, add one to the last digit retained, otherwise, retain only the two digits after the decimal. In this case, the first digit dropped is 3, so it will simply be dropped. The final answer is then 6.63, to the nearest hundredth.

5 0

3 years ago

Read 2 more answers

The angle whose sine is 0.39581 is? how do I find the degree?

emmainna [20.7K]

Use the $\sin^{-1}$ on your calculator. Also make sure the calculator is in degree mode. You should get 23.32°

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3 years ago

Solve pls |2c+7|-3>4<br> :(

kotegsom [21]

Answer:

Step-by-step explanation:

2c + 7 > 0

2c > -7

c > -7/2

If c < -7/2

-2c -7 -3 > 4

-2c > 14

c < -7

if c > -7/2

2c + 7 -3 >4

2c >0

c >0

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3 years ago

Find the lcm of 2.5, 1.0 and 70

Ivahew [28]

Answer:

Step-by-step explanation:

2.5 = 5 * .5

1 = 1

70 = 2 * 5 * 7

LCM = 2 * 5 * 7

If you include the 1/2, you will reduce the LCM to 35, but 70 will be left out of the LCM.

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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 $h=3tan(40)$ .

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3 years ago