Answer:
|AC| = 4.47 units (question attached as image)
Step-by-step explanation:
The question lacks sufficient details. We wil however consider a similar example (image attached) to understand how to solve questions using Pythagoras theorem.
We will calculate for |AC| using Pythagoras theorem, we have:
|AC|² = |AB|² + |BC|²
|AC| = ?, |AB| = 4 units, |BC| = 2 units
|AC|² = 4² + 2² = 16 + 4
|AC|² = 20 ⇒ |AC| = 
|AC| = 4.472135955 ≈ 4.47
|AC| = <u>4.47</u> units
Answer:
y = 63
Step-by-step explanation:
A straight line is equal to 180 degrees.
180 = 2y - 18 + y + 9
180 = 3y -9
189 = 3y
189/3
y = 63
Answer: 24 pistachios cupcakes.
Step-by-step explanation:
We know that:
They recently sold 6 pistachio cupcakes and 8 other cupcakes.
Then we can model this with the ratio 6:8
This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.
Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?
Using the ratio above, we must find a number N such that:
N*6 + N*8 = 56.
N*(6 + 8) = 56
N*14 = 56
N = 56/14 = 4.
This means that:
out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes
4*8 = 32 are other cupcakes.
Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.
12 ÷ 5 = 2.4. So there will be 0.4 string left.
