Let us find the co ordinates of each vertex of the triangle .
Vertex A ( in firs second quadrant) = ( -5 ,3)
vertex B in third quadrant = ( -5, -5)
vertex C in fourth quadrant = ( 4, -2)
let us use distance formula AB^2 = ( -5 - 3)^2 + (-5 - -5 )^2 = 64 + 0
AB= 8
BC^2 = ( -2 - -5 )^2 + ( 4 - - 5)^2 = 9 + 81 = 90
BC = 9.48
AC^2 = ( -2 -3)^2 +( 4- -5)^2 = 25 + 81 = 106
AC= 10.29
Perimeter = sum of length of AB+ BC+ Ac = 8 + 10.29 + 9.48= 22.77
Answer:
147 in2
Step-by-step explanation:
(Assuming the height is 4 1/2 inches = 4.5 inches)
We need to calculate the area of all six faces of the prism
Two faces have the sides 8 and 3, which area is 8*3 = 24 in2
two other faces have the sides 8 and 4.5, which area is 8*4.5 = 36 in2
the two last faces have the sides 3 and 4.5, which area is 3*4.5 = 13.5 in2
So, summing up all the areas, we have:
24 + 24 + 36 + 36 + 13.5 + 13.5 = 147 in2
Answer:
1) False. 2) False.
Step-by-step explanation:
1) False. 2) False.
1) is false because it says, "A total of 40 students can type from 0-59 words per minute." 0-14w=5s, 15-29w=10s, 10-44w=14s, and 45-59w=20s. w= words per minutes s= number of students (BTW) 5+10+14+20=54 not 40
2) is false because it says, "The number of students who typed 45-59 words per minute is equal to the number of students who typed 15-39 and 0-14."
45-59w=20s
15-39w=10s and 0-14w=5s
10s+5s=15s
20s>15s
Answer:
C
Step-by-step explanation:
Anything multipled by 6 will always be even, and anything multiplied by 4 will also always be even. Therefore, when we multiply (6x to the 4th)(4x to the 3rd), the answer will be even. However, 3 is odd, and an even number minus an odd number is ALWAYS odd.
Answer:
c
Step-by-step explanation:
x<=-2
