Answer:
13 cm × 12 cm
Step-by-step explanation:
The diagonal of the top or bottom faces of the box is the hypotenuse of a triangle with legs 12 cm and 5 cm. The Pythagorean theorem tells you that diagonal length is ...
d = √(12² +5²) = √(144 +25) = √169 = 13 . . . cm
The width of the divider is 13 cm.
The height of the divider is shown as 12 cm.
The dimensions of the dividing rectangle are 13 cm by 12 cm.
Answer:
1. 3/5=60%
2. 4 remaining in the bag
3. 2 marbles remain in the bag
4. 2/4=1/2=50%
First: Please use the symbol " ^ " to indicate exponentiation. Your f(x) should be x^2, not x2. "x^2" reads "the square of x."
Let y equal g(x) = f(x) + k: y = <span>g(x) = f(x) + k. See that "k" is a y value?
If k=1, we merely translate the graph of f(x)=x^2 UP one scale division to obtain the graph of g(x) = f(x) + 1.
So, how does the range of g(x) compare to the range of f(x)? </span>
Using the sine law of triangles to solve for angle C:
b / sin B = c / sin C
C = arcsin (c * sin B / b)
C = 30.7<span>°
Since interior angles of a triangle always add up to 180</span><span>°, we can use this to solve for angle A:
angle A = 180</span>° - 73° - 30.7<span>°
angle A = 76.3</span><span>°
Having solved for angle A, we can solve for side a using the sine law.
a / sin A = b / sin B
a = b * sin A / sin B
a = 15.2
Therefore, the correct answer is B.</span>
Answer:
36
Step-by-step explanation:
15 divided by 5 would = 3
3 is the cost of 1 cupcake
3 x 12 is 36
