Answer:
th first one
Step-by-step explanationor fully:
Answer:
Cost of Hats = $15
Cost of Scarves = $8
Step-by-step explanation:
Let
Cost of Hats = x
Cost of Scarves = y
5x + 3y = 99 (1)
3x + 5y = 85 (2)
Multiply (1) by 5 and (2) by 3
25x + 15y = 495
9x + 15y = 255
Subtract
25x - 9x = 495 - 255
16x = 240
Divide both sides by 16
x = 240 / 16
= 15
x = $15
Substitute x = 15 into
5x + 3y = 99
5(15) + 3y = 99
75 + 3y = 99
3y = 99 - 75
3y = 24
y = 24/3
= 8
y = 8
Cost of Hats = $15
Cost of Scarves = $8
Answer:
B. 264
Step-by-step explanation:
Although the figure may look odd, This is just a square pyramid on it's side.
So, to find the surface area, we need to find the area of the base and the area of the faces and add them together.
To find the area of the base:
Since the base is a square, all we have to do is multiply 8 by itself.
8 * 8 = 64
The area of the base is 12.5 in^2
To find the area of the faces:
Since the faces are triangles, we have to multiply the length by the height and divide by 2.
8 * 12.5 = 100
100/2 = 50
The area of one face is 50 in^2
To find the surface area:
Add the area of the base to the area of all 4 sides.
64 + 4(50)
64 + 200 = 264
The surface area of the pyramid is B. 264 in.^2
No. A parallelogram has 2 sets of parallel lines, each the same length. This doesn't mean that the angles are perpendicular.