Answer:
Mr.Lin's present age is 30 years now. His son is 8 years old now.
Step-by-step explanation:
Let L = Mr.Lin's present age,
S = his son's present age.
First equation is
L + S = 38. (1)
The second equation is
L + 3 = 3*(S+3) (2) ("In three years' time, Mr.Lin will be three times as old as his son.")
From (1), express S = 38-L and substitute it into (2). You will get
L + 3 = 3*((38-L)+3), or
L + 3 = 114 - 3L + 9,
4L = 114 + 9 - 3,
4L = 120,
L = 30.
Answer:
156 ft³
Step-by-step explanation:
Volume of the composite solid = volume of the square prism + volume of the square pyramid
✔️Volume of rectangular prism = a²h
a = 6 ft
h = 3 ft
Volume = 6²*3 = 36*3
Volume = 108 ft³
✔️Volume of square pyramid = ⅓(a²*h)
a = 6 ft
h = 4 ft
Volume = ⅓(6²*4) = ⅓(36*4)
Volume = 48 ft³
✅Volume of the composite solid = 108 + 48 = 156 ft³
Answer:
Part a) The measure of the sides of triangle DEF are
![d_D_E=\sqrt{90}\ units](https://tex.z-dn.net/?f=d_D_E%3D%5Csqrt%7B90%7D%5C%20units)
![d_E_F=\sqrt{65}\ units](https://tex.z-dn.net/?f=d_E_F%3D%5Csqrt%7B65%7D%5C%20units)
![d_D_F=\sqrt{221}\ units](https://tex.z-dn.net/?f=d_D_F%3D%5Csqrt%7B221%7D%5C%20units)
Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
![d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28y2-y1%29%5E%7B2%7D%2B%28x2-x1%29%5E%7B2%7D%7D)
we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula
![d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3%2B6%29%5E%7B2%7D%2B%28-1-8%29%5E%7B2%7D%7D)
![d=\sqrt{(3)^{2}+(9)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%283%29%5E%7B2%7D%2B%289%29%5E%7B2%7D%7D)
![d_D_E=\sqrt{90}\ units](https://tex.z-dn.net/?f=d_D_E%3D%5Csqrt%7B90%7D%5C%20units)
step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula
![d=\sqrt{(5+3)^{2}+(-2+1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285%2B3%29%5E%7B2%7D%2B%28-2%2B1%29%5E%7B2%7D%7D)
![d=\sqrt{(8)^{2}+(-1)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%288%29%5E%7B2%7D%2B%28-1%29%5E%7B2%7D%7D)
![d_E_F=\sqrt{65}\ units](https://tex.z-dn.net/?f=d_E_F%3D%5Csqrt%7B65%7D%5C%20units)
step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula
![d=\sqrt{(5+6)^{2}+(-2-8)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285%2B6%29%5E%7B2%7D%2B%28-2-8%29%5E%7B2%7D%7D)
![d=\sqrt{(11)^{2}+(-10)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%2811%29%5E%7B2%7D%2B%28-10%29%5E%7B2%7D%7D)
![d_D_F=\sqrt{221}\ units](https://tex.z-dn.net/?f=d_D_F%3D%5Csqrt%7B221%7D%5C%20units)
step 4
Classify the triangle by the measure of its sides
we have
![d_D_E=\sqrt{90}\ units](https://tex.z-dn.net/?f=d_D_E%3D%5Csqrt%7B90%7D%5C%20units)
![d_E_F=\sqrt{65}\ units](https://tex.z-dn.net/?f=d_E_F%3D%5Csqrt%7B65%7D%5C%20units)
![d_D_F=\sqrt{221}\ units](https://tex.z-dn.net/?f=d_D_F%3D%5Csqrt%7B221%7D%5C%20units)
so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
1,000ml=1L
1,910ml=?L
1,910ml/1,000ml
1,910ml=1.91L
Answer: 1.91L
I hope this helped :)
It is hard to explain how I got the answer other than following what I showed above^^ I got the ml-to-L conversion online, I just googled how many ml are in 1L and it showed that there are1,000ml in 1L