Answer:
620 cm²
Step-by-step explanation:
First I'll describe the net. There are 3 rectangles and 2 triangles. The triangles are identical and 2 out 3 of the rectangles are the same.
So, we know that the two similar rectangles have measurements of 13cm x 10cm. So, that's 130 cm² for one such rectangle. Add the other one and we get 260 cm².
The bottom rectangle has dimensions of 10cm x 24 cm, or 240 cm². Add that to our previous total and we'll get 500 cm².
On to the triangles. Now, we know that 1. these are isosceles triangles, and 2. they have a height of 5 cm. We can pretend to cut them in half at their highest point, which would give us 4 triangles with height 5 and length 12. Now, if you put two identical triangles together, it's a four-sided shape, and you can just multiply length by width. Let's do that.
Now we have 2 rectangles, each with width 5 and length 12. Calculate the area for each, and now we have 2 rectangles with area 60 cm². Add them together....120cm².
Add that to our previous total, and we'll get 620 cm². That should be the surface area of your prism :D
Answer:
B. Yes, because both expressions equal 15 when y = 1
Step-by-step explanation:
12y + 3y = (12*1) + (13*1) = 12 + 3 = 15y = 15*1 = 15.
Answer:
1. ecologist
2.species
3. population
4.habitat
Step-by-step explanation:
Slope is (24--31)/(-6-5) = 55/-11=-5
y-24=-5(x--6)
y-24=-5x-30
y=-5x-6
Answer:
graph attached
Step-by-step explanation:
A graph is a pictorial representation that represent the relationship between two or more things.
Cosine function is periodic with period 
. If the point 
lies on the graph, point 
will also lie on the graph where k is any integer.
Here,
![cos(x-\pi )=cos[-(\pi -x)]=cos(\pi -x)=-cos x](https://tex.z-dn.net/?f=cos%28x-%5Cpi%20%29%3Dcos%5B-%28%5Cpi%20-x%29%5D%3Dcos%28%5Cpi%20-x%29%3D-cos%20x)
