Answer:
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Step-by-step explanation:
let months stayed in spain be "s" and months stayed in columbia be "c"
We can write 2 equations.
Since, lived in Spain and Columbia for a total of 20 months, we can write:
s + c = 20
Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:
120s + 150c=2610
Solving first for s:
s = 20 - c
Putting in 2nd and solving:
120(20 - c) + 150c = 2610
2400 - 120c + 150c = 2610
30c = 210
c = 7
Now,
s = 20 - c = 20 - 7 = 13
So
"Dominic lived in Spain for 13 months and Columbia for 7 months."
<u>Answer:</u>
B.The area of the base of the pyramid is 24cm^2.
C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
E.The volume of this pyramid is 72cm3.
<u>Step-by-step explanation:</u>
Area of base of the pyramid = l × w = 4 × 6 = 24 cm^2
Volume of rectangular pyramid = (l × w × h)/3 = (4 × 6 × 9)/3 = 72 cm^3
Volume of rectangular prism = w × h × l = 9 × 4 × 6 = 216 cm^3
So according to these calculations, the correct answer options are:
B.The area of the base of the pyramid is 24cm^2.
C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
E.The volume of this pyramid is 72cm3.
Answer:
a=40. b=140. c= 40
Step-by-step explanation:
b is congruent To 140 because of the vertical angles postulate that states two angles vertical from one another are congruent.
a is 40 because it is Supplementary to b Which means that the sum of a and b must add up to 180.
c is Congruent to a due to the vertical angles postulate
Answer:
What is the question
Step-by-step explanation:
Answer:
a1 = 24
an = an-1 × 1/2, n >1
Step-by-step explanation:
a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.
so, we multiply 24 by something to get 12.
and then 12 by the same something to get 6.
and then 6 by the and something to get 3.
do you see the pattern ? hmmm ?
right, we always divide by 2 (or multiply by 1/2).
the starting value a1 = 24
so,
an = an-1 × 1/2, n>1
or
n>1
