factors of 18: 1,2,3,6,9
factors of 30: 1,2,3,5,6, 10, etc.
The greatest number of book for each shelf is 6.
18/6=3 shelves
30/6 =5 shelves
5+3= 8 shelves
There will be 8 shelves for each book.
H+M=20
2H+4M=64 the 2 because hummingbirds have 2 feet and the 4 because mice have 4 feet
Answer:
0.6625
Step-by-step explanation:
To find the surface area, calculate the area of each shape and add it together, A pyramid has 1 square and 4 triangles in its net,
Area of square is A=s*s=0.25*0.25=0.0625.
Area of a triangle is A= 1/2 b*h = 1/2 (0.25)(1.2) = 0.15.
There are four equal triangles so together there area is 4*0.15 = 0.60.
Add the square to it and you have the surface area of the pyramid.
0.0625 + 0.60 = 0.6625
Answer:
ok the answer should be A.
Step-by-step explanation:
you transform the coordinates from (x,y) to (-y,x)
this means to flip the coordinates like bring y up front and change its sign and take x to the initial y position.
for example if (-1,9) when you do the transformation you get (-9,-1). you take initial -1 to the right and bring 9 to left and change its sign.
when you are done you can see that the x axis coordinates are the same but the y axis coordinates are the direct opposite. this means that after the transformation the triangle would look like the mirror image of the original triangle.
To solve that we first need to write it as an equation where x is the number:
85 + x^2 = (x-17)^2
85 + x^2 = x^2 - 34x + 289
Now organize the equation by gathering like terms in the same side lf the equation:
You can shift 85 to the other side by subtracting 85 from both sides of the equation:
85 - 85 + x^2 =x^2 34x +289 - 85
x^2 =x^2 + 34x +204
And shift x^2 to the other side by subtracting x^2 from both sides:
x^2 - x^2 =x^2 -x^2 + 34x +204
0 = 34x + 204
Shift 34x to the other side by subtracting 34x from sides
-34x = 34x - 34x + 204
-34x = 204
And now isolate x by dividing both sides of the equation by -34
-34/-34x = 204/-34
x = -6
Thats your awnser , the number is -6
I hope you understood my brief explanation...
