The answers are... For the first one Question 1. the answer would be
2x³+2x²-2x
Question 2 the answer is: x²-3x-2
Question 3 the answer is: 2x+2
Question 4 the answer is: x+7
Question 5 the answer is: <span><span><span>−15</span><span>x</span></span></span>²<span>+<span>66x</span></span><span>−<span>63
Hopes this helps! :)</span></span>
P = m/v
To find the mass you have to do Density x Volume.
The volume of the cuboid is 0.18 m cubed and the density is 2.7g/cm cubed.
The 2.7 g/cm cubed must be converted into kg/m cubed to find the mass in kg. Which is 2,700 kg/ m cubed.
2,700 x 0.18 = 486 kg.
The mass of the marble in kg is 486kg
Answer:
If two figures are similar, then the correspondent sides are related by a constant factor.
For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.
Let's start with the two left triangles.
In the smaller one the base is 5, and the base of the other triangle is 15.
Then we will have:
15 = k*5
15/5 = k = 3
The scale factor is 3.
Then we will have that:
a = scale factor times the correspondent side in the smaller triangle:
a = k*3 = 3*3 = 9
a = 9
For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.
Then we will have the relation:
12*k = 20
k = (20/12) = 10/6 = 5/3
The scale factor is 5/3
This means that the unknown side b is given by:
b*(5/3) = 15
b = (3/5)*15 = 3*3 = 9
b = 9.
The volume πr^2*height/3=1471
π*r^2=1471/9*3
π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)
r^2=490.33/3.14(taking 3.14 for pi)=about 156.16
r= sqrt 156.16=about 12.5
Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!
