Answer:
x = 30
Step-by-step explanation:
The interior angles of a triangle must always add up to 180.
2x + 2x + 3x - 30 = 180
Add 30 to both sides to seperate variables.
2x + 2x + 3x = 210
Combine like terms.
7x = 210
Divide by 7 to isolate x.
x = 30
Answer:
8 π .
Step-by-step explanation:
radius increases at a constant rate of 1 in/sec.
dr / dt = 1
where r is radius .
radius after 4 sec
r = 1 x 4 = 4 in
area A = π r²
differentiating both sides
dA / dt = 2 π r dr / dt
Putting dr / dt = 1 , r = 4 in
dA / dt = 2 π x 4 x 1
= 8 π sq in per sec.
Area increases at the rate of 8 π per sec.
Well the 2 in 8.524 would be 0.02 or 2 hundredths. Here's my explanation, the 8 is the whole number because it's before the decimal point, the 5 is the tenth or 0.5 and as you go further the number gets smaller so after the 5 is the 2 and that would be 2 hundredths or 0.02. So basically it's like going from tens, to hundreds, to thousands but only going in reverse order.
Answer:
Step-by-step explanation:
x = first number, y = second number
4x - 3y = 12
2x + 3y = 6
------------------add
6x = 18
x = 18/6
x = 3
4x - 3y = 12
4(3) - 3y = 12
12 - 3y = 12
-3y = 12 - 12
-3y = 0
y = 0
solution : (3,0)
Since we are only dealing with integers, we do not need to worry about decimals. Therefore, finding the exact values of sqrt(19) and sqrt(77) is not important. We can just estimate.
19 is between 16 and 25 (which are 4^2 and 5^2), so the square root of 18 is some number between 4 and 5.
77 is between 64 and 81 (which are 8^2 and 9^2), so the square root of 77 is some number between 8 and 9.
So the integers (whole numbers) that are between our two sqaure roots are 5, 6, 7, and 8.
Add them up and we have our answer.
5+6+7+8 = 26
