Answer:
She should add 18 liters of 30% sugar syrup
Step-by-step explanation:
Let the amount of sugar syrup be x
Mathematically;
30% of x liters + 20% of 12 liters = 26% of (x + 12)
So, we have
0.3x + 2.4 = 0.26x + 3.12
0.3x-0.26x = 3.12-2.4
0.04x = 0.72
x = 0.72/0.04
x = 18
It’s c) XS, i love your pfp btw!! :)
Volume of the cone is 17 cm³
Step-by-step explanation:
- Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 2 inches and h = 4 cm.
Volume = 1/3 × 3.14 × 2² × 4
= 16.75 cm³ ≈ 17 cm³ (rounding off to nearest whole number)
Answer:
Step-by-step explanation:
Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line
Having the point P(3,5) substitue x to verify y
y=2*(3)-1=6-1=5 (3,5)
Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found
![d_{AP}=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}=\sqrt{(5-7)^{2}+(3-(-2}))^{2}}=\\\sqrt{(-2)^{2}+(5)^{2}}=\sqrt{29}](https://tex.z-dn.net/?f=d_%7BAP%7D%3D%5Csqrt%7B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%2B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%7D%3D%5Csqrt%7B%285-7%29%5E%7B2%7D%2B%283-%28-2%7D%29%29%5E%7B2%7D%7D%3D%5C%5C%5Csqrt%7B%28-2%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%3D%5Csqrt%7B29%7D)
and we found the distance PQ and QA
;
, ![d_{QA}=12](https://tex.z-dn.net/?f=d_%7BQA%7D%3D12)
be the APQ triangle we must find <APQ through the cosine law (graph 2).
Answer:
-53
/14
Step-by-step explanation: