Answer:
The center of the tetrahedron divides each of the four heights (or medians) in the ratio 1:3 (in an equilateral triangle the corresponding ratio is 1:2). The smaller part is also the radius of the inscribed sphere. Therefore the radius of this sphere is one quarter of the height or 9 in your case.
Answer:
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
Step-by-step explanation:
-4(3-5x)>-6x+9
We need to solve the above inequality
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
(-4*3) (-4*-5x) >-6x+9
-12 +20x >-6x+9
-12 + 20x >-6x+9
The next step will be to add +12 on both sides
-12 + 20x +12 >-6x+9+12
20x >-6x+21
The next step will be to add +6x on both sides
20x +6x > -6x+21 +6x
26x > 21
x > 21/26
Answer:
she flew 1h 30m and ran 30m
Step-by-step explanation:
First we have to make 2 equations, one that represents the distance that it traveled and another that represents the time that it ran
x = time she ran
y =
time she flew
x + y = 2h
x * 12 + y * 76 = 120
we clear x in the first equation
x + y = 2
x = 2 - y
we replace x with (2 - y) in the second equation
x * 12 + y * 76 = 120
(2 - y) * 12 + y * 76 = 120
24 - 12y + 76y = 120
-12y + 76y = 120 - 24
64y = 96
y = 96/64
y = 3/2
this means that 1 hour and a half was flying
x = 2 - y
x = 2 - 3/2
x = 1/2
this means that half hour was runing
Answer: 19/20 this fraction of recipe is made up of flour and sugar
Step-by-step explanation:
1/5+3/4
= (4)1+5(3)/20
=4+15/20 (taking LCM)
=19/20