Answer:
The perimeter is:
24
Step-by-step explanation:
Perimeter is the outside frame of the area. Add the dimensions together to get your answer. Adding:
7+7= 14
5+5= 10
10+14= 24
:) Hope this helps have a wonderful day!
Answer:
C) 19.5 square units
Step-by-step explanation:
The area from coordinates can be computed as ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
= (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|
= (1/2)|-39| = 39/2 = 19.5
The area of the triangle is 19.5 square units.
Answer:
B 5 seconds
Step-by-step explanation:
h = 240 + 32t – 16t^2
When is this equation 0
0 = 240 + 32t – 16t^2
Factor out 16
0 = -16(-15-2t+t^2)
= -16(t^2-2t-15)
What 2 numbers multiply to -15 and add to -2
-5*3 = -15
-5+3 =-2
0 = -16(t-5) (t+3)
Using the zero product property
t-5=0 t+3=0
t=5 t=-3
Since time cannot be negative
t=5 seconds
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:

w(2w + 3) = 9
From this, we get that:

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:
In this question:


Thus a quadratic equation with 
Then


Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958
The answer to the question