The cost of the new lacrosse stick is $13.20
Step-by-step explanation:
Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.
From the hypothesis, we have:
m∠QRS =(10x−12)∘(10x−12)
m∠PQR = (3x+20)∘(3x+20)
m∠RPQ=(3x−8)∘(3x−8)
Using the first equation and replacing the hypothesis:
m∠QRS = m∠PQR + m∠RPQ
(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)
Multiplying and applying the remarkable identity:

Then, we use a calculator to find the roots, which are:

In this case, we will see what root is the right one.
Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
Answer:
2
Step-by-step explanation:
Answer:
a) 43
b) 5.7
c) 2.54
Step-by-step explanation:
The metric system is so easy to work with, everything is in base of 10, and all measures use a prefix. Here, we're talking about length, with the main measure being the meter.
1 m = 100 centimeters (centi- = 1/100)
1 m = 1000 millimeters (milli- = 1/1000)
So, for each centimeter, you have 10 millimeters.
a) How many millimeters are in 4.3 centimeters?
1 cm = 10 mm as shown above, so 4.3 cm = 43 mm
b) How many centimeters are in 57 millimeters?
10 mm = 1 cm so, 57 mm = 5.7 cm
c) Approximately how many centimeters are in an inch?
There are approximately 2.54 cm in an inch. No real calculation to make here, it's just a unit conversion between systems, done following a known reference table.