∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
See whether you agree with the following statements based upon the diagram:
<span>Vea si está de acuerdo con las siguientes declaraciones basadas en el diagrama:
</span> 100 + y
tan 60 = x / y and tan 30 = -------------
sqrt(3)
100 + y
Then x = sqrt(3)*y and x = -------------
sqrt(3)
100 + y
From these 2 equations we see that sqrt(3)*y = --------------
sqrt(3)
100 + y
From these 2 equations we see that sqrt(3)*y = --------------
<span>De estas 2 ecuaciones vemos que sqrt(3)
</span>
Then 3y = 100 + y, so that 2y = 100 and y = 50 degrees (answer)
x x
Again, tan 60 deg = ------- => sqrt(3) = --------------- y 50
Then 50 sqrt(3) = x (answer)
Answer:
Step-by-step explanation:
Assuming the image is the shown below, we can use the following formula to find the length of arc :
Where is the angle in the arc and is the radius of the circle.
Since we are not given the value of , we will only work with this.
For :
For :
We firstly need to find the value of this angle, taking into account the whole circumference is :
Finding :
Now, let's calculate the length of arc:
4x+8=-12
4x=-20
x=-5
just look at the equation above :)
The total cost if a person buys 6 tickets is $28.50