Answer:
Volume of solid = 737 cm³ (Approx)
Step-by-step explanation:
Given:
Radius r = 4 cm
Length of cylinder = 12 cm
Find:
Volume of solid
Computation:
Volume of solid = Volume of hemisphere + Volume of cylinder
Volume of solid = (2/3)πr³ + πr²h
Volume of solid = (2/3)π(4)³ + π(4)²(12)
Volume of solid = 134 + 603
Volume of solid = 737 cm³ (Approx)
Answer:
b)
Step-by-step explanation:
the HCF of 8 and 12 is 4 and then you take the smallest number of x, y and z's
they both have 1 x, the first one only has one y and they both have z^2
You would use the SSS, ASA, AAS, RHS theorems to prove two triangles to be congruent.
Answer:
Step-by-step explanation:
Q1: <B = 150 °
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
8x-10 = 3x+90
5x=100 (subtract 3 from both sides)
x=20 (divide both sides by 5)
x = 20
<B= 3x +90
<B = 3 (20) +90
<B = 60 + 90
<B = 150
Q2: 62
An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.
An angle is 34 more than its complement.
Let x represent the angle.
Let y represent its complement.
x= 34 +(90-x)
y= (90-x)
x + y = 90
34 + (90-x) + (90-x) =90
x= 62
Check the answer.
x= 34 more than complement.
62-34=28
62+28=90
Checked!
Words of encouragement:
Good luck!
The addition property of equality. It says that if you add the same number to each side of the equation, the two sides of the equation will be equal. In this case, the number 8 was added to each side.
Hope this helps :)
