Answer:
1. We already have the measure of the hypotenuse and one out of two acute angle, therefore:
sin53° = x/45 => x = sin53° · 45 ≈35.94
2. We already have one out of two legs of the triangle and one acute angle so we know that:
tan27° = 48/x => x = 48/tan27° ≈ 94.21
Answer:
We know that:
She needs 9/10 grams of flour for the cake (this quantity does not make a lot of sense, maybe is written incorrectly, but is the only info we have, so let's solve the problem with this)
She only has 1/3 of the amount she needs.
How much flour does she have?
Well, she needs 9/10 grams, and she has one-third of that.
Then she has (1/3) times (9/10) grams, this is:
F = (1/3)*(9/10) grams
F = (1*9)/(3*10) grams
F = 9/30 grams
That is the amount of flour that she has.
This is very simple, all you have to do is subtract 18 and 6 and that would be 12, and now we have 12 as a POSSIBLE answer, lets check our work to be 100% correct so now try to add 12 and 6 and we get 18, so yay it made the equation true and since its true its right so that's the answer.
Answer: c = 12 so 18 = 12 + 6 is true.
14r+20<14r+16 or 8−10r>15−9r
14r+20<14r+16
14r+20−14r<14r+16−14r(Subtract 14r from both sides)
20<16
20−20<16−20(Subtract 20 from both sides)
0<−4
8−10r>15−9r
−10r+8>−9r+15(Simplify both sides of the inequality)
−10r+8+9r>−9r+15+9r(Add 9r to both sides)
−r+8>15
−r+8−8>15−8(Subtract 8 from both sides)
−r>7
−r/−1 > 7/−1(Divide both sides by -1)
r<−7
Ur answer is:
r < - 7 OR 0 < - 4
