Answer:
1,250 miles/hour
Step-by-step explanation:
To find miles per hour -
.
The sentence reads:
J equals the value of x such that x is an integer AND x is greater than -1.
Translated to English, we can say J is an integer which is zero or positive, or in other words, J is a non-negative integer.
Answer:
16.51
Step-by-step explanation:
In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.
The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:
39 + 39 + x + x = 360
78 + 2x = 360
2x = 282
x = 141
This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.
Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

Thus the shorter diagonal will be 16.51 feet in measure.
First you need to change 45 feet to 540 inches.
Now you can compare the two ratios:
1 : 25 and 25 : 540
We now need to change the second ratio to a unit rate:
25:540 as a unit rate would be 1 : 21.6 and this is steeper than the a 1 : 25 drop
So, your answer would be: pipe drops to much vertically to function properly
Step-by-step explanation:
Let x be the number of Green apples bought.
Then 4x is the number of Red apples bought.
We have x + 4x = 50, so x = 10.
Since there are 10 green and 40 red apples, 40 - 10 = 30 more red apples than green apples.