Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
Answer:
Number of Cucumbers = 12
Number of Tomatoes = 4
Step-by-step explanation:
Let number of cucumber be c and number of tomatoes be t
Since he has room for 16 plants, we can write:
c + t = 16
He wants to plant 3 times as many cucumbers as tomatoes. We can write:
c = 3t
We can substitute this in 1st equation and solve for t:
c + t = 16
3t + t = 16
4t = 16
t = 16/4 = 4
And c = 3t
c = 3(4) = 12
Number of Cucumbers = 12
Number of Tomatoes = 4
Only the triangular prism will hold 30 gallons of water.
First, we need to find the volume of the prism.
It is: V = (24 x 25)/2 x 28 = 8400 in^3
Since there are 231 cubic inches in a gallon, so there are 36.4 gallons in the tank. 8400 / 231 = 36.4
The pyramid would only have one-third of the volume.
Please repost a clear picture so I can help, Thanks.
Answer:
Step-by-step explanation:
5/8 +1/n = 7/8
1/n= -5/8 +7/8
1/n = 2/8
1/n= 1/2
then you would try to get n by itself
by dividing n/1 to 1/n and 1/2