Answer:
If they are same side interior or same side exterior they will always add up to 180 so if you have m<7 = 131 then you subtract 131-180 and then you have the angle for one and you do it so on and so forth. If you have A corresponding angle, alternate exterior,alternate interior or a vertical angle they will be the same number at the angle given.
Answer:
Question 13. I believe is C.
Step-by-step explanation:
take your area of the face you are given aka your 7 5/6 and multiply it by six since there are six faces.
You can convert the mixed number to an improper fraction
= denominator times the whole number ( 6x7)= then add the numerator (42+5)=
Then multiply by six to get your answer
I'm not completely sure about question number fourteen so I am not answering it.
Answer:
5
Step-by-step explanation:
Assuming we want to evaluate |z|, given that, z=4+3i.
Then, by definition of modulus,
Therefore the modulus be of the given complex number is 5 units
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
