9514 1404 393
Answer:
S = 4.5π ≈ 14.14 units
Step-by-step explanation:
The arc length is given by ...
s = rθ . . . . . r = radius; θ = central angle in radians
The angle 135° is ...
135° = 135°(π/180°) = 3π/4 radians
The arc of interest has length ...
s = 6×3π/4 = 9/2π ≈ 14.14 . . . units
Answer:
320 crayons per class
Step-by-step explanation:
the school bought 25 boxes...each containing 64 crayons.....so that a total of (25 * 64) = 1600 crayons.
so 1600 crayons and it has to be split equally 5 ways...
1600 / 5 = 320 crayons per class
To find the percentage, divide 29 by 45 (29÷45). You should get 0.64444444(so on). Round that to 0.64 and your answer is 64%
The number of apples is x, and the number of oranges is y.
"Mia needs to bring at least 25 pieces of fruit to the school picnic."
means that x+y≥25
"She was told to be sure to bring more than 10 apples."
means that x≥10
thus, the inequalities are:
i) x+y≥25
ii) x≥10
Answer: (1, √15) and (1, -√15)
Step-by-step explanation:
A circle centered at the point (a, b) of radius R can be written as:
(x - a)^2 + (y - b)^2 = R^2
In this case we have:
"A circle is centered at the origin (0,0) and has a radius of 4 units"
Then the equation for this circle is:
x^2 + y^2 = 4^2 = 16.
Now, we want to find the points where x = 1, then we can replace that value and solve the equation for y.
1^2 + y^2 = 16
1 + y^2 = 16
y^2 = 16 - 1 = 15
y = +-√15
Then the two points that have the x-coordinate equal to 1 are:
(1, √15) and (1, -√15)
