1- The answer is that she wants the new time to be 32 minutes
Solution: The question asks that she wants to DECREASE by 20%
What you will do it convert 20% to a decimal (which is 0.20)
Then, you need to multiply the minutes by the decimal:
40 x 0.20 = 8 minutes
Now you know that 8 minutes will be 20% of 40 minutes, so you just subtract 8 from 40 UwU
Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
Answer:
y = 6, RS = 35 and ST = 17
Step-by-step explanation:
Given that,
RS = 5y+5
ST = 2y+5
RT = 52
If we consider a number line,
RT = RS + ST
52 = 5y+5 + 2y+5
52 = 7y + 10
7y = 52-10
7y = 42
y = 6
RS = 5y+5
= 5(6)+5
= 35
ST = 2y+5
= 2(6) +5
= 17
Hence, this is the required solution.
Answer: the answer is B, or P(B|C)=9/24=0.38
Step-by-step explanation:
If you look at the table, you can see that 9 is where BC is. So, 9 is the numerator. The denominator is 24 because that is the total number.
Also, I got this answer correct on Edge
So cost=(# of items) times (Price per item)
necklace=48 bbeads and 1 charm
1 bead=0.05
charm=0.45
so we multiply
necklace=48(0.05)+1(0.45)
necklace=2.4+0.45
necklace=2.85
bracelet=25 beads and 4 charms
bracelet=25(0.05)+4(0.45)
bracelet=1.25+1.8
bracelet=3.05
necklace=$2.85
bracelet=$3.05