Answer:
A. 9π/2km
Step-by-step explanation:
the length of the arc is
s= angle in radians* radius
the angle in radians
135 = 3π/4
therefore length of arc
s= (3π/4)*6 = 9π/2km
What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)
Three consecutive integers are . . . x, x+1, and x+2
The smallest two are . . . x and x+1
Their product is . . . . . x(x+1)
5 times the largest one is . . . 5(x+2)
5 less than that is . . . . . . 5(x+2)-5
Now, the conditions of the problem say that <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .
Eliminate parentheses: x² + x = 5x + 10 - 5
Combine like terms: x² + x = 5x + 5
Subtract 5x from each side: x² - 4x = 5
Subtract 5 from each side: <u>x² - 4x - 5 = 0</u>
You could solve that by factoring it, or use the quadratic equation.
Factored, it says that (x + 1) (x - 5) = 0
From which <em>x = -1</em>
and <em>x = +5</em>
We only want the positive results, so our three consecutive integers are
5, 6, and 7 .
To answer the question, the smallest one is <em><u>5 </u></em>.
<u>Check</u>:
5 x 6 ? = ? (7 x 5) - 5
30 ? = ? (35) - 5
30 = 30
yay !
there are .001 meters in 1 millimeter
Answer:
1/18 ?
Step-by-step explanation:
I'm not sure if you're written the whole question?
3 pans with 6 muffins in each pan, so total number of muffins = 3 x 6 = 18
So each muffin is 1/18
Answer:
A) y will increase by 4 unit.
B) y will decrease by 20 units
Step-by-step explanation:
Given equation that shows relation between x and y.
A) If x is increased by 4 units
New value of y = 
So, change in y = new value of y- original value of y
Thus, the value of y will be increased by 4 units.
B) If x is decreased by 5 units
New value of y = 
So, change in y = new value of y- original value of y
= -20
Thus, the value of y will be decreased by 20 units.
