Answer:
6.7
Step-by-step explanation:
1^2+1^2= root 2
4^2+7^2 = root 65
1/2*root 2 *(root 65/2) = 2.85*2=5.700877+1
=6.7
A rectangle is a quadrilateral with either two opposite sides equal and parallel to each other. That is AB is parallel and equal to CD and AD parallel and equal to BC. Parallel lines have equal slopes.
Thus, AB slope is 2, while that of CD is also 2, therefore they are parallel to each other. In addition the modulus of AB and that of CD is the same thus they are equal in length.
AD slope is -1/2 while that of BC is also -1/2 therefore the two are parallel to each other. In addition they are equal in length therefore they are equal in length.
Moreover AB is perpendicular to BC and AD (product of slope of two perpendicular lines is -1)
Therefore, it can be concluded that Quadrilateral ABCD is a rectangle.
Answer:
$17,640
Step-by-step explanation:
Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost is going to be $17,640.
235 ⋅ 75 = 17,625
17,625 + 15 = 17,640
Therefore, the answer is $17,640.
Answer:
Equation is = 5+1.75m
Step-by-step explanation:
Given that,
A taxi service charge is $5.00 for each fare.
In addition, the service charges a $1.75 per minute fee.
It means, for every minute, $1.75 increases with time and $5.00 is fixed.
ATQ,
Total cost = 5+1.75m
Where m is time in minutes
Hence, the required equation is "5+1.75m".
