Answer:
RM = 12 cm
Step-by-step explanation:
![a^{2} + b^{2} = c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
Assuming 20 is the hypotenuse cus there is no picture:
![a^{2} + 16^{2} = 20^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%2016%5E%7B2%7D%20%3D%2020%5E%7B2%7D)
![a^{2} +256 = 400](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B256%20%3D%20400)
![a^{2} = 144](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%3D%20144)
![a=144](https://tex.z-dn.net/?f=a%3D144)
If It's not the hypotenuse:
![16^{2}+ 20^{2} =c^{2}](https://tex.z-dn.net/?f=16%5E%7B2%7D%2B%2020%5E%7B2%7D%20%3Dc%5E%7B2%7D)
![256+400 =c^{2}](https://tex.z-dn.net/?f=256%2B400%20%3Dc%5E%7B2%7D)
![656=c^{2}](https://tex.z-dn.net/?f=656%3Dc%5E%7B2%7D)
![c = 25.61249695](https://tex.z-dn.net/?f=c%20%3D%2025.61249695)
But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.
Hope this helped. :0)
9514 1404 393
Answer:
-3 ≤ x ≤ 19/3
Step-by-step explanation:
This inequality can be resolved to a compound inequality:
-7 ≤ (3x -5)/2 ≤ 7
Multiply all parts by 2.
-14 ≤ 3x -5 ≤ 14
Add 5 to all parts.
-9 ≤ 3x ≤ 19
Divide all parts by 3.
-3 ≤ x ≤ 19/3
_____
<em>Additional comment</em>
If you subtract 7 from both sides of the given inequality, it becomes ...
|(3x -5)/2| -7 ≤ 0
Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.
__
For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...
|f(x)| < (some number) . . . . or ≤
If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:
|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0
Any solutions to these inequalities must respect their domains.
Answer:
Maggie is incorrect.
Step-by-step explanation:
PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 <em>before</em> dividing.
I hope this helps!
4x10^7 The number of zeros the given number has would be the exponent
Yo sup??
Area of trapezium=1/2*(sum of opposite sides)*(height of trapezium)
=1/2*(12.5+17.5)*6
=1/2*30*6
=90 cm²
Therefore the correct answer is option A
Hope this helps.