Answer: 1.) √121= 11
Step-by-step explanation:
11•11=121
Answer:
x=-2.25,y=-2.25
Step-by-step explanation:
The given system is

We want to solve the system for x and y that makes the system true.
Let us multiply the first equation by 3 while maintaining the second equation:

Subtract the current second equation from the first one.

Divide through by 12:

From the second equation we have:

This implies that:

The first thing we are going to do is draw a diagram of the situation to help us to solve the situation.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since <span>meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let </span>

be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for

:



We can conclude that the pole is
4.04 meters tall.
Answer:
Step-by-step explanation:
n and d are the number of nickels and dimes, respectively.
"there are 20 coins"
n+d = 20
d = 20-n
"total value is $1.40"
0.05n + 0.10d = 1.40
0.05n + 0.10(20-n) = 1.40
-0.05n + 2 = 1.40
0.05n = 0.6
n = 12
d = 20-m = 8
Answer:
<h3>2T/9</h3>
Step-by-step explanation:
A construction manager needs 12 workers to complete a building project in 54 days, we can write;
12 workers = 54 days
T find the number of workers needed to complete the same project in T days, we will write;
x workers = T days
Divide both equations
12/x = 54/T
Cross multiply
12T = 54x
x = 12T/54
x = 2T/9
Hence the number of workers needed to complete the same project in T days is 2T/9 workers