Answer:
65 ounces
Step-by-step explanation:
Number of dogs = 4
Each day, they ate 13/4 pounds of food
1 pound = 16 ounces
If 4 dogs eat 13/4 pounds of food
1 dog will eat x pounds of food
1 dog will eat = (1 * 13/4) / 4 = 13 /16
1 dog will eat 13 / 16 pounds of food each day.
1 pound = 16 ounces
13 / 16 pounds = y ounces
y = (13/16 * 16) / 1
y = 13 ounces
Each dog eats 13 ounces of food daily.
In five days, each dog will eat 13 * 5 = 65 ounces of food.
Answer:
-2t + 1400
Step-by-step explanation:
If t represents the number of hours Lamar worked as a tutor, the number of hours he worked as a waiter can be represented by 100 - t.
Create an equation to represent the situation:
12t + 14(100 - t) = total earned
Simplify:
12t + 1400 - 14t = total earned
-2t + 1400 = total earned
So, the expression for the amount he earned is -2t + 1400
6 = 8f - 2f
6 = 6f
f = 1
there is no leftover as each friend get 1 cup
Answer:
cos2θ = -0.7041
Cos θ = -0.3847
Step-by-step explanation:
Firstly, we should understand that since θ is in quadrant 2, the value of our cosine will be negative. Only the sine is positive in quadrant 2.
Now the sine of an angle refers to the ratio of the opposite to the adjacent. And since there are three sides to a triangle, we need to find the third side which is the adjacent so that we will be able to evaluate the cosine of the angle.
What to use here is the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the adjacent and the opposite.
Since Sine = opposite/hypotenuse, this means that the opposite is 12 and the hypnotist 13
Thus the adjacent let’s say d can be calculated as follows
13^2 = 12^2 + d^2
169 = 144 + d^2
d^2 = 169-144
d^2 = 25
d = √25 = ±5
Since we are on the second quadrant, the value of our adjacent is -5 since the x-coordinate on the second quadrant is negative.(negative x - axis)
The value of cos θ = Adjacent/hypotenuse = -5/13
Cos θ = -5/13
Cos θ = -0.3846
Using trigonometric formulas;
Cos 2θ = cos (θ + θ) = cos θ cos θ - sin θ sin
θ = cos^2 θ - sin^2 θ
Cos 2θ = (-5/13)^2 - (12/13)^2
Cos 2θ = 25/169 - 144/169
Cos 2θ = (25-144)/169 = -119/169
Cos 2θ = -0.7041
Answer:
3^2/3.
Step-by-step explanation:
3 ^ 1/3 * 3^1/3
= 3^(1/3 + 1/3)
= 3^2/3.
