Hello there,
Okay well first we right down what we already know:
- volume of 2,355 cubic inches
- the height is 10 inches
Now we write down the equation for the volume of a cone: V = πr²
- lets plug in what we know into the equation
2,355 = πr²
- now we simplify to solve for r
2,355 / 10/3 = 706.5 = πr²
706.5/π = r²= 224.89
- now since its r² we take the square root of 224.89
r = 15 inches
- for diameter we multiply 15 by 2
diameter = 30 inches
Hope I helped,
Amna
Answer: 117.6 millimeters
Step-by-step explanation:
Given , The actual size of beetle = 16 millimeters
Since , the photo of a beetle in a science book is increased to 735% as large as the actual size.
Scale factor to increase the size = 735% = 7.35 [To convert percentage to decimal or fraction we divide it by 100]
Then , the size of the beetle in the photo would be :
(Actual size of the beetle) x (Scale factor)
= (16 millimeters) x (7.35)
= (16 x 7.35) millimeters
= 117.6 millimeters
Hence, the size of the beetle in the photo = 117.6 millimeters
Salutations!
What does coplanar mean?
Coplaner is a term used in geometry referring as points which rest on the very same plane; typically orbiting the same way. The point can be rested as 3 or several points in the same plane.
Hope I helped :D
Answer:△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
A rigid motion of the plane is a motion which maintain distance.
Translation is a kind of rigid motion used in geometry to trace a function that moves an object a particular distance.
A reflection is also a kind of rigid motion . It is mainly a 'toss' of a shape across the line of reflection.
So,△DEF is mapped to △D′E′F′ using the rule (x,y)→(x,y+1) ( which is a translation.) followed by (x,y)→(x,−y)(which is reflection),therefore it is a sequence of rigid motions.
