2(4x - 3) > = -3(3x) + 5x
8x - 6 > = -9x + 5x
8x - 6 > = - 4x
-6 > = -4x - 8x
-6 > = - 12x
-6/-12 < = x
0.5 < = x or x > = 0.5 <==
** if u multiply/divide by a negative, the inequality sign changes
The answer to this is -20
It equals to 0.868. Hope this helps! ;)
Answer:
The value of SecФ is
.
Step-by-step explanation:
Given as for trigonometric function :
tan²Ф = 
Or, tanФ = 
∵ tanФ = 
So,
= 
So, Hypotenuse² = perpendicular² + base²
or, Hypotenuse² = (
)² + (
)²
Or, Hypotenuse² = 3 + 8 = 11
Or, Hypotenuse = (
)
Now SecФ = 
or, SecФ =
= 
<u>Second Method</u>
Sec²Ф - tan²Ф = 1
Or, Sec²Ф = 1 + tan²Ф
or, Sec²Ф = 1 + 
Or, Sec²Ф = 
Or, SecФ = 
Hence The value of SecФ is
. Answer
Short Answer RP = 8 meters.
Remark
A kite's diagonals bisect each other. (1/2) QS = QP.
Another fact about a kite is that the diagonals meet at right angles.
ΔQPR is a right triangle.
Step One
Find QP
QP = 1/2 QS
QS = 12 Given
QP = 1/2 12
QP = 6
Step Two
Find RP
Use the Pythagorean Theorem To solve for RP
<em>Givens</em>
QP = 6 From Step 1
QR = 10 Given
QP = ??
We are dealing with a right angle triangle.
RP^2 + QP^2 = QR^2
RP^2 + 6^2 = 10^2
RP^2 + 36 = 100 Subtract 36 from both sides.
RP^2 = 100 - 36
RP^2 = 64 Take the square root of both sides.
sqrt(RP^2) =sqrt(64)
RP = 8 <<<<<<<< Answer