If the side of square P is x and the side of square Q is y, we have x+y=26. In addition, 3*the perimeter of P+8*4y=3*4x+32y=12x+32y=492.
We have
x+y=26
12x+32y=492
Multiplying the first equation by -12 and adding it to the second, we get
20y=180 and dividing by 20 we get y=9. Plugging it into the first equation, we get 26-9=17=x. Since the area of square P is x^2 and Q is y^2,
x^2+y^2=19^2+7^2=410=the sum of the squares
Answer:
Step any explanation:
t & 1/r
t = k/r
When t =6 and r = 5
k = tr
k = 6×5
k = 30
Constant of proportionality is equal 30
Answer:
Step-by-step explanation:
first we will break the parts of the question down:
d= distance
t= time
function: d=t(60)
the <em>independent </em>variable is t, time, because the (distance) that the car travels <u>depends </u> on how long the car has been traveling for (time) meaning that the dependent value is distance.
A table we can create with 5 coordinate pairs is:
(time) (distance)
1 hr 60miles
2 hr 120 miles
3 hr 180 miles
4 hr 240 miles
5 hr 300 miles
(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)
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Answer:
Step-by-step explanation:
The measure of arc which the right triange cuts from the circle is 
this means the central angle has the same measure.
Angle with measure 
is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence
Angles with measures and 
are complementary angles (add up to 90°), so
3 boxes of 12″ =36 = 2 boxes of 18″
so shortest height at which the 2 stack will be the same height =36 inches
