Answer:
It takes 12 tablespoons of butter to make 42 cupcakes.
Step-by-step explanation:
This is a proportions problem.
Butter/Cupcakes is or simplified. This means there are 2 table spoons of better to every 7 cupcakes.
To solve for 42 cupcakes, set
Next, Cross multiply so that 2 is multiplied by 42 and 7 by x.
Divide to isolate x
Since x represents the amount of butter, you would need 12 tablespoons of butter to make 42 cupcakes.
Answer:
The answer is 2.44948974278 or 2.4.
Step-by-step explanation:
Hope this helps. Good luck!
Answer:
The angle formed between CF and the plane ABCD is approximately 47.14°
Step-by-step explanation:
The given parameters are;
BC = 6.8
DE = 9.3
∠BAC = 52°
We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;
sin∠BAC = BC/(The length of a line drawn from A to C)
∴ The length of the line drawn from A to C = BC/sin∠BAC
The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63
∴ AC = 8.63
By trigonometry, we have;
The angle formed between CF and the plane ABCD = Angle ∠ACF
In a cuboid, FA = BG = CH = DE = 9.3
The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°