Answer:
Answer for Q8: the smallest is 2 root 3 and the largest is 3 root 2
Answer for Q9: (x+y)(x-2)
Step-by-step explanation:
Q8: Type on a calculator to convert all of them to decimals and then compare
Q9: Factor by grouping. See attached.
Answer:
<h2>x = 3</h2>
Step-by-step explanation:
∠QRT and ∠SRT are supplementary angles,
therefore m∠QRT + m∠SRT = 180°.
(45x)° + m∠SRT = 180° <em>subtract (45x)° from both sides</em>
m∠SRT = 180° - (45x)°
We know: the sum of the measures of the angles of the triangle is equal to 180 °. Therefore we have the equation:
(180 - 45x) + (57 + x) + 25x = 180 <em>combine like terms</em>
(-45x + x + 25x) + (180 + 57) = 180
-19x + 237 = 180 <em>subtract 237 from both sides</em>
-19x = -57 <em>divide both sides by (-19)</em>
x = 3
First we need to have same units before comparing them. That is, either both of them are in cm or both of them are in mm. So if we need to convert 12.5 cm to mm, we know that 1 cm =10 mm. So we have to find out how many mm are in 12.5 cm. And let 12.5 cm =x mm. So to find the value of x , we set a proportion and solve for x. That is

The units cancel out and we do cross multiplication. That is

x=125
So 12.5 cm =125 mm. Therefore the correct proportion is C.
Answer:
$ 6,189.18
Step-by-step explanation:
From the above question, we can deduce that we are meant to find the Principal (Initial Amount ) invested.
The formula for the Principal of a compound interest that is compounded continuously is given as:
P = A / e^rt
Where
P = Principal
A = Totally Amount after time t = $11,300
r = Interest rate = 4.3 % = 0.043
t = 14 years
P = $11,300/ e ^0.043 × 14
P = $ 6,189.18
Hence, Landon needs to invest, $ 6,189.18
The sum of 3/5 and 1/10 is 7/10.