Answer:
1.23
Step-by-step explanation:
11.931 divided by 9.7 is 1.23.
Answer:
<u>240cm³</u>
Step-by-step explanation:
To find our answer we will <u>multiply</u> the <em>volume, width, and height</em>.
4 · 20 · 3 = 240. Therefore, <u>240cm³ is our answer.</u>
<em>Have a good day!</em>
Answer:
x = {nπ -π/4, (4nπ -π)/16}
Step-by-step explanation:
It can be helpful to make use of the identities for angle sums and differences to rewrite the sum:
cos(3x) +sin(5x) = cos(4x -x) +sin(4x +x)
= cos(4x)cos(x) +sin(4x)sin(x) +sin(4x)cos(x) +cos(4x)sin(x)
= sin(x)(sin(4x) +cos(4x)) +cos(x)(sin(4x) +cos(4x))
= (sin(x) +cos(x))·(sin(4x) +cos(4x))
Each of the sums in this product is of the same form, so each can be simplified using the identity ...
sin(x) +cos(x) = √2·sin(x +π/4)
Then the given equation can be rewritten as ...
cos(3x) +sin(5x) = 0
2·sin(x +π/4)·sin(4x +π/4) = 0
Of course sin(x) = 0 for x = n·π, so these factors are zero when ...
sin(x +π/4) = 0 ⇒ x = nπ -π/4
sin(4x +π/4) = 0 ⇒ x = (nπ -π/4)/4 = (4nπ -π)/16
The solutions are ...
x ∈ {(n-1)π/4, (4n-1)π/16} . . . . . for any integer n
Answer:
16 lb of fresh coffee.
Step-by-step explanation:
Let x pound be the amount of fresh coffee needed.
100 - 12 = 88% is equivalent to 14 2/25 of roasted coffee.
By proportion x = 14 2/25 / 88/100
= 352 / 25 * 100/88
= 35200 / 25 * 88
= 16 lb (answer).
Answer:
21N:7m/s
? :10m/s
21x10=210
210÷7=30N
Your final answer is 30N
Step-by-step explanation:
This is called direct propotion
it involves close multiplication
