Answer: 3 : 1
Step-by-step explanation:
We know that there are 48 kids in Elm street.
12 of them are boys, then the number of girls will be:
48 - 12 = 36
So there are 12 boys and 36 girls.
Then the ratio of girls to boys is 36:12
We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:
36/12 : 12/12
3 : 1
Then the ratio is 3 to 1.
Answer: line segment
Step-by-step explanation:
A line segment is a ray that extends from one point to another. Hope this helps!
<h3>
Answer: 0.5</h3>
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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
--------------------------
We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
Answer:
<u>It</u><u> </u><u>is</u><u> </u><u>(</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>)</u><u>³</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u>(</u><u>3</u><u> </u><u>-</u><u> </u><u>x</u><u>)</u>
Step-by-step explanation:
Express 27 in terms of cubes, 27 = 3³:
From trinomial expansion:
open first two brackets to get a quadratic equation:
expand further:
take y to be 3, then substitute:
Answer:
4095
Step-by-step explanation:
This Is for the 4.07 K-12 Quiz! <3
