Answer:
x=53
Step-by-step explanation:
pythagoras theorem
a^2 + b^2 =c^2
here a and b are two small sides and c is hypotenuse (longest side)
28^2 + 45^2 = c^2
784 + 2025 =x^2
2809 =x^2
=x
53 =x
Answer: M(2) = $1500*(1 - 0.026)^2 = $1423.01
Step-by-step explanation:
Initially in the acount there is $1500
You lose a 2.6% (or 0.026 in decimal form) per year, so after the first year you have:
M = $1500 - 0.026*$1500 = $1461
After other year, you lose oter 2.6%
M = $1461 - 0.026*$1461 = $1423.01
The equation can be writen as:
M(t) = $1500*(1 - 0.026)^t
Where t is the number of years, you can use t = 2 and get:
M(2) = $1500*(1 - 0.026)^2 = $1423.01
Answer: 1 lb 5 oz
Step-by-step explanation:
Answer:
Least positive integer divisible by the numbers 2, 4, and 7 is 28
Step-by-step explanation:
We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM
First lets List all prime factors for each number.
Prime Factorization of 2
2 is prime => 
Prime Factorization of 4 is:
2 x 2 => 
Prime Factorization of 7 is:
7 is prime => 
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 7 = 28
Answer:
5 of the 7 boxes are 8 inches in height
Step-by-step explanation:
Mathematically;
1 ft = 12 inches
So, 5 ft will measure 5 * 12 = 60 inches
So from what we have ,
We want to combine 8 and 10 inches to give 60 inches total
Let the number of 10 inches be x and the number of 8 inches be y
Mathematically;
x + y = 7 •••••(i)
10x + 8y = 60 ••••(ii)
From equation i, x = 7-y
Put this in equation ii
10(7-y) + 8y = 60
70-10y + 8y = 60
70-60 = 10y-8y
2y = 10
y = 10/2
y = 5
