Answer:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
Step-by-step explanation:
Given the expression: sin 2x + cos x,
then we can use the formula: sin 2x = 2 sin x cos x, which gives:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
So there you have two expressions in terms of sin x and cos x, as requested. :D
Answer:
1050 ft²
Step-by-step explanation:
Enlarging the polygon by a factor of 5 has the effect of increasing the area by a factor of 5², that is 25
new area = 25 × 42 = 1050 ft²
Answer:
No
Step-by-step explanation:
each notebook is $1.05 and the is $7.50
there is only enough for seven notebooks not eight.
The problem is stating that Mandy found the ratio between input and output of many points on the graph, which are displayed by the fractions. Mandy's conclusion was that they were not equivalent, meaning they were different and that is why the function is not proportional. Mandy's conclusion is wrong, the relation is proportional. If we take all the functions we have:
![\frac{5}{1}=\frac{10}{2}=\frac{25}{5}=\frac{50}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B1%7D%3D%5Cfrac%7B10%7D%7B2%7D%3D%5Cfrac%7B25%7D%7B5%7D%3D%5Cfrac%7B50%7D%7B10%7D)
Where the input is the denominator and the output is the numerator we will have a ratio of "5". Mandy's mistake was to invert the last fraction, she inserted the output in the denominator, this is why she said the were different.