If the given number is in base 2, that means
11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1
8 = 2³, and so we have
11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1
11100111₂ = 3 • 8² + 4 • 8 + 7
11100111₂ = 347₈
Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:
11 100 111
11₂ = 2 + 1 = 3
100₂ = 2² = 4
111₂ = 2² + 2 + 1 = 7
so again we get 347₈.
Answer:
1/2
Step-by-step explanation:
cot∅ = 1/tan∅
cot∅ = 1/2
Hey there!
Let x be boy 1's age, and y be boy 2's age (younger).
Firstly, we know that x+y=24
6y-4=3x+5 <== we have this right here. (using the rules given by the question)
We can use all the equations to help find the answer.
x+y=24
x+y (-y)= 24(-y)
x=24-y
Plug that into x in the equation we made above.
6y-4= 3(24-y)+5
6y-4= 72-3y+5
Add 4 to each side.
6y= 81 -3y
9y=81
y=9
We know the younger boys age is 9.
We can plug that in to find the older one's age.
x+9= 24
x= 15
The boy's ages are 9 and 15.
I hope this helps!
~kaikers
Answer:
A = 125, B = 55, C = 125
Step-by-step explanation:
A line that is cut into two by a line has two angles that equal 180. So angle A + angle D is 180. Angle D = 55 so 180 - 55 = 125. You do the same for every angle but look at the line as being cut into two in different directions for angles a and b and angles c and d.
Step-by-step explanation:
According to the information given and the formula
base area= 9cm × 4cm = 36
ht= 10cm
(1/3) × 36cm × 10cm = 120
