Esme says the two expressions 4x - 5.2y + 6y + 7.9x - 8x and 19.9x + 11.2y are equivalent. Is she correct? Explain how you know.
1 answer:
Answer:
No, she's incorrect. 4x - 5.2y + 6y + 7.9x - 8x = 3.9x + 0.8y
Step-by-step explanation:
To find out if Esme is correct, we have to group the like terms and simplify.
As you can see, 3.9x + 0.8y is the correct simplified expression, thus making Esme incorrect.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
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Answer:
7 km
Step-by-step explanation:
Substitute:
The equation for area of a semi-circle is
A =
76.97 =
Multiply by 2 on both sides:
2(76.97) = ( )2
153.94 =
Divide by pi on both sides:
153.94 =
/pi /pi
49.03 ≈
Find the square root:
7 = r
Answer:
Step-by-step explanation:
In order to find the side mentioned (IJ), we need to use SOH CAH TOA.
SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:
Sin = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.
Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.
Our equation is now this:
Let's now solve for x.
Therefore, the length of IJ will be around 2.01.
Hope this helped!