Answer:
The angle θ = 312°.
Step-by-step explanation:
0° < θ < 360°
If cos θ = 2/3 and tan θ < 0
As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.
cos θ = 2/3
θ = 312°
Answer:
36
Step-by-step explanation:
you have to multiple and find the other area
Answer:
70
Step-by-step explanation:
ok, so since you want to find out what the profit is, first you take the times you won and multiply the amount you got for winning so 50*2=100. now that you have 100 you take the money you spent and multiply it by the number of times you played the game so 20*3=30. now that you have those you have everything you need to finish the question. you take the amount you spent per play (30) and subtract it from what you won (100). 100-30=70
Answer:
Emma should get $14.60, while Jessica should get $23.20 dollars
Step-by-step explanation:
Step 1:
Start with Emma. Emma has two vowels "E' and "A", so 6x2= 12.
Next, for the consonants, the name Emma has two "M"s, so 1.3x2=2.6. Then add 12 and 2.6 for $14.6, or $14.60.
Step 2:
Use Jessica
The name Jessica has 4 consonants, 2 being "S", one being "J", and one being "C", so 1.3x4=5.2. Next, the name Jessica has 3 vowels, so 6x3=18, then add 5.2 to 18 to get 23.2, or $23.20.
Thus, Emma should get $14.60 dollars, and Jessica should get $23.20 dollars
Answer:
L(min) = 125 ft
Dimensions of the pens
biggest side x /2 = 31.225 ft
shorter side w = 20.82 ft
Step-by-step explanation:
Let call w width of the pen ( the shorter side )
Let call x the biggest side of the two pen.
The configuration we get is that we will use 3 times w + just one side of x
Then total length of fence is
L = 3*w + x (1)
And area of one pen is A = (x/2)* w and that area have to be 650 ft²
650*2 = x*w ⇒ w = 1300/x
So to get L as function of x we plugg this value in equation (1)
L(x) = 3* 1300/x + x
Taking derivatives on both sides of the equation
L´(x) = -3900/x² + 1
L´(x) = 0 ⇒ x² = 3900 ⇒ x = 62.45 ft
and w = 1300/x w = 20.82 ft
And the least amount of fence is
L(min) = 3* 20.82 + 62,45
L(min) = 62.45 + 62.45
L(min) = 125 ft
