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3 years ago

Math question! 3tanx-square root of 3 = 0

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

3* tan(x) - root(3) = 0
3* tan(x) = root(3)
tan(x) = root(3) /3 = 0.577
x = tan^-1(0.577) or atan(0.577)
x = 30 degrees

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What is 0.000001 written as a power of ten? 10^-5 10^-6 10^-7 10^-8

Korolek [52]

Rewriting 0.000001 as a power of ten.

Well,

0.000001

1
= —————
 1000000

 1
= ———
 10⁶

= 10⁻⁶ <——— this is the answer.

Any doubts? Please, comment below.

6 0

3 years ago

Read 2 more answers

Identify the area of the figure rounded to the nearest tenth.

nignag [31]

Answer:

$A = Ar - Ac = 220cm^{2} - 50.26 cm^{2}= 169. 7 cm^{2}$

Step-by-step explanation:

This problem can be solved calculating the area of the full rectangle, and substracting the area of the circle that is in the center of the figure.

The formula we use to calculate the rectangle's area is:

$Ar = b . h$

Being b = 22 cm and h= 10 cm

$Ar = 22 cm . 10 cm = 220 cm^{2}$

So now, we have to calculate the area of the circle:

$Ac = \pi . radius^{2}$

Being the radius, the half of the circle's diameter. To know the diameter (distance between opposite points of the circle), we have to substrate the space that is occupied by the circle to the full lenght of the base of the rectangle. If we know that the full lenght of the base is 22 cm, and that the opposite lenght is only 14 cm (7 cm + 7 cm), then we know that the circle occupies 8 cm (22 cm - 14 cm).

So the diameter of the circle is 8 cm. That means that it's radius is 4 cm.

$Ac = \pi . (4 cm)^{2} = \pi . 16cm^{2} = 50.26cm^{2}$

So now we substract the area of the circle to the area of the full rectangle and we obtein the area of the figure.

$A = Ar - Ac = 220cm^{2} - 50.26 cm^{2}= 169. 7 cm^{2}$

A = figure's area, Ac = circle's area, Ar= rectangle's area.

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3 years ago

30 POINTS! Find the value of x. The polygons are similar, but not neccesary drawn to scale.

Juli2301 [7.4K]

Answer:

x = 8

Step-by-step explanation:

x=8

32/24=1 1/3

16/12=1 1/3

(y+1)/21=1 1/3 --> 26 is y

(x-1)/6=1 1/3 --> 7=(x-1) so 8-1=7 so x=8

HOPE THAT HELPS! :)

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3 years ago

Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.

Natalija [7]

Answer:

5/8, 20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

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3 years ago

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the ordered parts (1,3), (2,9), (3,27), (4,81) and (5,243) represents a function. What is a rule that represents this function

sineoko [7]

The rule is y = 3^x
This is an exponential

If x = 1, then y = 3^x = 3^1 = 3
If x = 2, then y = 3^x = 3^2 = 3*3 = 9
If x = 3, then y = 3^x = 3^3 = 3*3*3 = 27
If x = 4, then y = 3^x = 3^4 = 3*3*3*3 = 81
If x = 5, then y = 3^x = 3^5 = 3*3*3*3*3 = 243

We can see this a number of ways. One is to graph and notice the points steeply increase as x gets larger. So that implies an exponential growth behavior.

Also notice how jumping from 3 to 9 to 27 and so on has us multiplying by 3. This geometric sequence property further confirms we have an exponential rule.

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3 years ago