Answer:
Step-by-step explanation:
volume of the cookie box= length ×breath×height
volume= 6×3×10 = 180cm^3
Answer:
r=C2
Step-by-step explanation:
C=2r is the equation to find circumference
She needs to work backwards in this case, so:
r=C2
r=The circumference she knows x 2 x 3.14(or 3.14159265359)
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<h3><u><em>I would recommend writing/typing all of this(Especially if you need to show you work)!</em></u></h3>
<em><u>I hope this helped!</u></em>
<u />
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴ 
Therefore, the measure of each angle is 
Answer:
14) t=2hours
15)a=5/4
Step-by-step explanation:
14) The graph of y = -0.5 l t l is an inverted "V-shaped" graph with highest point when t = 0 and y = 0.
To obtain the graph of r = -0.5 l t - 1 l + 0.5, translate the graph of y = -0.5 l t l one unit to the right and 0.5 units upward. The highest point on this graph occurs when t = 1 and r = 0.5.
Maximum rate of rainfall = 0.5 inches/hr
The rain stops when r = 0. So, -0.5 l t - 1 l + 0.5 = 0
l t - 1 l = 1
t - 1 = 1 or t - 1 = -1
t = 2 or t = 0
t > 0, so the rain stops when t = 2 hours
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
4) into the equation and solve for a.
y = a ⎜x - 6⎟
_5
4 = a ⎜5 - 6⎟
_5
4 = a ⎜-1⎟
_5
4 = a
An equation for the path of the ball is y =
_5
4
⎜x − 6⎟.
