Answer:
128oz
Step-by-step explanation:
Ratios!
2oz syrup:8ozmilk
which simplifies to:
1oz syrup:4milk
32oz syrup: 4(32)milk
128oz. milk
E’(5,-2)
F’(1,-2)
G’(5,1)
H’(5,5)
Please check if I understand the question correct
Using proportions, it is found that the original sample weighed
grams.
- This question is solved by <em>proportions</em>, using a rule of three.
- The weight of 1 batch, in grams, is of
. How much do the sample of 12 batches weigh?
The rule of three is:
1 batch -
grams.
12 batches - x grams
Applying cross multiplication:

Applying scientific notation:

The original sample weighed
grams.
You can learn more about proportions at brainly.com/question/24372153
Answer:
x = 74°
Step-by-step explanation:
The diagram shown in this question, is a Quadrilateral inscribed in a circle
It is important to note that
The sum of opposite angles in a Quadrilateral = 180°
93° + z = 180°
z = 180° - 93°
z = 87°
In a cyclic quadrilateral,
Intercepted angle = 1/2(Intercepted arc)
Intercepted angle = 93°
Intercepted arc = x + 112°
Hence,
93° = 1/2(x + 112)°
93° × 2 = x + 112°
186° = x + 112°
x = 186° - 112°
x = 74°
Let's make an equation based off of the pythagorean theorem.
7²+x²=(x+1)²
Since the diagonal is the biggest of the three lengths, the diagonal is the bigger even number. Since they are consecutive, they are one away. Let's distribute.
49+x²=x²+2x+1; let's subtract 1 from both sides.
48+x²=x²+2x; lets subtract x² from both sides.
48=2x; let's divide.
48÷2=24=x
So, since smaller integer is 24, the bigger one is 25. Let's make sure this makes sense.
7²+24²=25²
49+576=625
625=625
So, the missing lengths are 24 and 25.