Answer:
Check below
Step-by-step explanation:
1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.
2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
3) Let's calculate its radius, based on the information given, i.e. the perimeter:

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.
Answer:
Figure 1:
Area: 30m^2
Perimeter: 23.6m
Figure 2:
Area: 98.8km^2
Perimeter:56.5km
Step-by-step explanation:
Area is base x height.
To get the perimeter, add up all the sides.
Figure 1:
Area:
6x5=30m^2
Perimeter: 6+5.8+6+5.8=23.6m
Figure 2:
Area:
7.6x13 = 98.8km^2
Perimeter:7.6+15+20+13.9=56.5km
What you need to know for this case is that the sum of the internal angles of a triangle is 180 °
We then have the following equation that is given by:
(2x) + (3x) + (4x) = 180
Clearing x we have:
9x = 180
x = 180/9
x = 20
Therefore we have:
m∠A = (40) °
m∠B = (60) °
m∠C = (80) °
Answer:
B) m∠B = 60 °
Answer:
1).B
2).A
3).D
4).B
5).C
6).D
7).D
8).B
9).C
10). I believe it is A
Step-by-step explanation:
I'm sorry, i do not know how to explain this, I hope I helped you in some way and I hope these answers work for you :)
Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is
, then equation #2 turns into:

Now, we rearrange this equation:

We can divide the equation by 5 :

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since
and
. The equation factorised looks like this:

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

Therefore, the dimensions of the yard are W=20ft and L=40ft.