3/9 + 1/2 = 5/6
2 1/3 + 2 1/4 = 4 and 7/12
Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
What are your questions? If so what type of mathematic class: Algebra, Algebra 2, Geometery, Trigeometery, Pre-calculus, Calculus..
Answer:
The coordinate B' is 
.
Step-by-step explanation:
The new coordinate is computed by applying the scale factor with respect to origin:
Answer:108 ins. squared
Step-by-step explanation:
So first you want to decide which way you want to divide the shape.
I am going to do it this way...
So the bottom is 16ins. and the top part is 10 ins.
So when you subtract 16-10 you get 6.
This means that the small portion sticking up is 6 ins. across.
According the left side the width with the small part is 8 ins.
So now we find the area of that half.
6 times 8 is 48ins.
Now we are going to get the other part.
The top says it is 10 ins.
The side says it is 6 ins.
Now we multiply 10 by 6 nd get 60 ins
We are almost finished, all we have to do is add 60 and 48.
Your answer is 108ins.squared.
