Answer:
t=45
Step-by-step explanation:
54=t+9
54-9=t
t=45
△RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2).
The distance between the x-coordinates of R and T is 3 .
The distance between the y-coordinates of R and T is 6.
R' is 1 unit left,2 units up from T, so the coordinates of R' are (2,0)
Answer:
4
Step-by-step explanation:
Answer:
The 42 inches long fishing rod will fit in the box.
Step-by-step explanation:
The diagonal of a cuboidal box is the largest measurement inside the box.
Now, the dimensions of the box are 10 inches by 10 inches by 40 inches.
Therefore, the diagonal length of the box is
inches which is greater than 42 inches.
Hence, the 42 inches long fishing rod will fit in the box. (Answer)
Answer:
$7.94
Step-by-step explanation:
We have been given that on January 4, Janelle Ruskinoff deposited $2192.06 in a savings account that pays 5.5 percent interest compounded daily. We are asked to find the amount of interest earned in 24 days.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after t years,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = time in years.
24 days in years would be
.

Upon substituting our given values in above formula, we will get:





To find amount of interest earned, we will subtract principal amount from final amount as:




Therefore, her money will earn approximately $7.94 in 24 days.