Answer:
Not a triangle.
Step-by-step explanation:
Sum of the two smaller sides must be greater than the largest side.
Answer:
The cost of wasted nitric acid is $187.02
Step-by-step explanation:
Since it is given that specific gravity of Nitric Acid is 1.42 Thus the density of nitric acid is
![\rho _{acid}=S.G\times \rho _{water}\\\\\\\rho_{acid}=1.42\times 1\frac{g}{cm^3}\\\\\rho_{acid}=1.42g/cm^3](https://tex.z-dn.net/?f=%5Crho%20_%7Bacid%7D%3DS.G%5Ctimes%20%5Crho%20_%7Bwater%7D%5C%5C%5C%5C%5C%5C%5Crho_%7Bacid%7D%3D1.42%5Ctimes%201%5Cfrac%7Bg%7D%7Bcm%5E3%7D%5C%5C%5C%5C%5Crho_%7Bacid%7D%3D1.42g%2Fcm%5E3)
Now from the basic relation of mass volume and density we have
![\rho =\frac{Mass}{Volume}\\\\\therefore Volume=\frac{Mass}{\rho }](https://tex.z-dn.net/?f=%5Crho%20%3D%5Cfrac%7BMass%7D%7BVolume%7D%5C%5C%5C%5C%5Ctherefore%20Volume%3D%5Cfrac%7BMass%7D%7B%5Crho%20%7D)
Since the mass of the nitric acid is given to be 5.112 kg = 5112 grams
Thus the volume of nitric acid is
![Volume=\frac{5112}{1.42}=3600cm^3](https://tex.z-dn.net/?f=Volume%3D%5Cfrac%7B5112%7D%7B1.42%7D%3D3600cm%5E3)
Now we know that 1000 cubic centimeters euals 1 litrer
Thus the calculated volume in liters is
![V_{liters}=\frac{3600}{1000}=3.6Liters](https://tex.z-dn.net/?f=V_%7Bliters%7D%3D%5Cfrac%7B3600%7D%7B1000%7D%3D3.6Liters)
Thus the cost of acid spilled equals
<u>Given</u>:
The given equation is ![q+\log _{2}(6)=2 q+2](https://tex.z-dn.net/?f=q%2B%5Clog%20_%7B2%7D%286%29%3D2%20q%2B2)
We need to determine the approximate value of q.
<u>Value of q:</u>
To determine the value of q, let us solve the equation for q.
Hence, Subtracting
on both sides of the equation, we get;
![q=2 q+2-\log _{2}(6)](https://tex.z-dn.net/?f=q%3D2%20q%2B2-%5Clog%20_%7B2%7D%286%29)
Subtracting both sides of the equation by 2q, we have;
![-q=2-\log _{2}(6)](https://tex.z-dn.net/?f=-q%3D2-%5Clog%20_%7B2%7D%286%29)
Dividing both sides of the equation by -1, we have;
![q=\log _{2}(6)-2](https://tex.z-dn.net/?f=q%3D%5Clog%20_%7B2%7D%286%29-2)
Now, substituting the value of
, we have;
![q=2.585-2](https://tex.z-dn.net/?f=q%3D2.585-2)
Subtracting the values, we get;
![q=0.585](https://tex.z-dn.net/?f=q%3D0.585)
Thus, the approximate value of q is 0.585
Hence, Option C is the correct answer.
Answer:
D. Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
Find the length of each side of the triangle using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
For side RS
R(0,0) and S(5, -3.322)
RS = √(5-0)²+(-3.322-0)²
RS = √25+11.035684
RS = √36.035684
RS = 6.0029
For side RQ
R(0,0) and Q(-3, -5.2)
RQ = √(-3-0)²+(-5.2-0)²
RQ = √9+27.04
RQ = √36.04
RQ = 6.0033
For side QS
Q(-3,-5.2) and S(5, -3.322)
QS = √(5+3)²+(-3.322+5.2)²
QS = √64+3.526884
QS = √67.526884
QS = 8.22
From the calculation it can be seen that RS=QR
Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal
Answer:
15 because 3 x 5 equals 15
Step-by-step explanation: