Answer:
you add all the values up on the dot plot and then you divide that number by how many dots are in the plot and that is your median.
Answer:
528000 ft²
Step-by-step explanation:
The Pyramid Arena has a shape of a square pyramid. A square pyramid is a pyramid with a square base and the top point is directly above the center of the base. It consist of 5 faces (base and 4 triangles), 8 edges and 5 vertices.
Given:
length of base (b) = 600 ft and height of lateral face (h) = 440 ft.
Since the lateral faces are made of glass, the area of each lateral face is the same as the area of a triangle with base same as base length and height same as height of lateral face.
Therefore, area of each lateral face = 1/2 × b × h = 1/2 × 440 × 600 = 132000 ft²
The lateral faces are made almost completely of glass and they are 4 lateral faces, therefore the total area of the glass in the Pyramid Arena = 4 × 132000 ft² = 528000 ft²
Answer:
x = 1/5(k-14)
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x+14-14 = k-14
5x = k-14
Divide by 5
5x/5 = 1/5(k-14)
x = 1/5(k-14)
Answer:
160
Step-by-step explanation:?
Answer:
3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter
Step-by-step explanation:
Rashid pastries (R)
Mikhail pastries (M)
Rashid and Mikhail submitted a total of x pastries
R+M=x (I)
Rashid made 2/3 as many pastries as Mikhail
(2/3)*R=M (II)
Using II in I
R+(2/3)*R=x
(5/3)*R = x
R=(3/5)*x (III)
Using III in I
(3/5)*x+M=x
M=x-(3/5)*x
M=(2/5)*x (IV)
Mikhail filo dough (MF)
Mikhail shortcrust dough (MS)
Rashid filo dough (RF)
Rashid shortcrust dough (RS)
Mikhail used filo dough for all of his pastries
MF=M
MS=0
Rashid used shortcrust dough for all of his pastries
RS=R
RF=0
Filo dough (FD)
FD=RF+MF=0+MF=MF=M (V)
5/8 of the filo dough pastries were brushed with olive oil
pastries brushed with olive oil (OI)
(5/8)*FD=OI
Using V
(5/8)*M=OI
Using IV
(5/8)*(2/5)*x=OI
(1/4)*x=OI (VI)
pastries brushed with butter (B)
Pastries made out of filo dough are brushed with either olive oil or butter (but not both)
FD=OI+B
B=FD-OI
Using V and VI
B= M - (1/4)*x
Using IV
B = (2/5)*x - (1/4)*x
B= (3/20)*x
3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter
