given the first term and the common difference of an arithmetic sequence find the 52nd term and the explicit formula. did I do t
his right ?
1 answer:
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If the two shortest sides of the triangle are 10in and 24in, then using Pythagoras' theorem, the longest side =
=
=
Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If
= the scale factor the first triangle is enlarged by then
and 
⇒
Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.
So the length of the shortest side of the other triangle is 15in.
You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.
=
=
Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If
⇒
Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.
So the length of the shortest side of the other triangle is 15in.
You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.
Answer:
1047 m = c
Step-by-step explanation:
Given : Mr.kelly pays $12,564 a year for rent. His rent is a constant amount each month.
To Find:Which equation represents the amount he pays her month if m=months and c=total rent paid for the year?
Solution :
Since he pays for a year (12 months) = $12,564
Since His rent is a constant amount each month.
He pays for one month =
Thus the amount he pays per month $1047
If he pays for m months then the total amount(c) of rent for m months
⇒1047 m = c
Hence equation represents the amount he pays her month if m=months and c=total rent paid for the year: 1047 m = c