Write and solve an equation of ratios to answer this.
2.25 cup x
-------------- = -------------
0.375 cup 1 cup
2.25
cross-multiplying, 2.25 = 0.375x. Solving for x, x = ---------- = 6
0.375
Brianna would need to use 6 cups of flour if she wants the mixture to contain 1 cup of baking soda.
Answer:
I don't think you are doing anything wrong. Just ignore it and write the repeating decimal. If you're asked to do it, round it up instead.
Z=110 because if you add up all the angles inside the triangle it would =180 and take the angle by z and subtract it from 180 you get your answer
Answer:
1.15 miles closer
Step-by-step explanation:
you just subtract 1 3/5 from 2 3/4
1 3/5 = 1 12/20
2 3/4 = 2 15/20
2 15/20- 1 12/20 = 1 3/20 = 1.15
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
