Sin 30 = 1/2
tan 45 = 1
Cosec 60 = 2 / √3 = 2√3 / 3
cot 45 = 1
Cos 60 = 1/2
sec 30 = 2 / √3 = 2√3 / 3
_______________________________
[ 1/2 + 1 - 2√3/3 ] ÷ [ 1 + 1/2 - 2√3/3 ] = <em>1</em>
The face and denominator of the fraction are exactly the same thus the answer is 1 .
Pi=3.14, So 86 x 3.14= [ 270.04]
Answer:
![(2,8]](https://tex.z-dn.net/?f=%282%2C8%5D)
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
and 
Combine the first two inequalities:
and
For the inequality to be true, we must have:
In interval notation, the inequality is:
Answer:
We see that the only complete time-distance pair indicates that she walked 6.4 miles in 2 hours. If she walked at a constant speed, we can conclude that girl walked 3.2 miles in 1 hour. Using this speed, we can find the remaining values in the table. The easier entry to complete is finding out how far she walked in 5 hours: 5 hours⋅3.2 miles/hour=16 miles. To find out how long it took to walk 8 hours we can either notice that 8 is half of 16, so it took half the time to walk half the distance or we can divide 8 miles by 3.2 miles per hour to find that it took 2.5 hours
Step-by-step explanation:
Answer: ∠ J = 62° , ∠ K = 59° , ∠ L = 59°
<u>Step-by-step explanation:</u>
It is given that it is an Isosceles Triangle, where L J ≅ K J
It follows that ∠ K ≅ ∠ L
⇒ 5x + 24 = 4x + 31
⇒ x + 24 = 31
⇒ x = 7
Input the x-value into either equation to solve for ∠ K & ∠ L:
∠ K = 5x + 24
= 5(7) + 24
= 35 + 24
= 59
∠ K ≅ ∠ L ⇒ ∠ L = 59
Next, find the value of ∠ J:
∠ J + ∠ K + ∠ L = 180 Triangle Sum Theorem
∠ J + 59 + 59 = 180
∠ J + 118 = 180
∠ J = 62
