Answer:
sin/4 * sin/6 = 1/2 *(cos /12 - cos 5/12)
Step-by-step explanation:
Formula:- sinX sinY = (1/2) [ cos (X - Y) - cos (X + Y) ]
sin(π/4)sin(π/6)
= (1/2)[cos(π/4 - π/6) - cos(π/4 + π/6)]
= (1/2)[cos(3π/12 - 2π/12) - cos(3π/12 + 2π/12)]
= (1/2)[cos(π/12) - cos(5π/12)]
Pick any number. Multiply the 7 and the 11 both by it,
and you'll have an equivalent ratio.
Examples:
(by 2) . . . 14 to 22
(by 6) . . . 42 to 66
(by 10). . . 70 to 110
(by a million) . . . 7 million to 11 million
Answer:For the first one 26.73 would turn into 27 and 89.42 would stay 89
Step-by-step explanation: Any number that is 5 or greater can be used to round any number.
Answer:
cups
Step-by-step explanation:
Given: A baker is using a cookie that calls for 2 cups of flour to yield 36 cookies.
To find the number of flour will the baker need to make 90 cookies, we form a proportion.
Let's convert 2 to improper fraction.
Let "x" be the amount flour to make 90 cookies
<u>Amount of Flour</u> <u>Number of cookies</u>
36
x 90
Now form a proportion.
Now let's cross multiply, we get
Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get
x = cups
So the baker needs cups to make 90 cookies.