Answer:
6 miles
Step-by-step explanation:
The distance formula is expressed as;
D = √(x2-x1)²+(y2-y1)²
D = √(2-4)²+(8-2)²
D = √(-2)²+(6)²
D = √4 + 36
AD = √40
AD = 6.32
Hence the approximate distance between the library and the mall is 6 miles
The greatest comment factor of 28 and 64 is 4.
The factors of 28 are 28, 14, 7, 4, 2, 1.
The factors of 64 are 64, 32, 16, 8, 4, 2, 1.
The common factors of 28 and 64 are 4, 2.
the greatest one of the two factors is 4.
Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
What is the volume of the composite figure? (Use for .) Do NOT round your answer
answer- 2388.16
in- 3
Answer:
Let S = starting point
Let ST = length of tunnel
SR = 1414 m
RT = 2236 m
Set up:
ST^2 + SR^2 = RT^2
ST^2 + (1414)^2 = (2236)
Solve for RT to find your answer.
Step-by-step explanation:
