Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft
Let the height be h
By Pythagorean theorem
10^2 = 3^2 + h^2
h^2 = 10^2 - 3^2 = 100 - 9 = 91
h = sqrt( 91) = 9.54 ft
Answer:
a) 
b)
When d = 3
n = (3+2)/4 = 5/4 inches
When d= 6
n = (6+2)/4 = 2 inches
When d = 10
n = (10+2)/4 = 3 inches
Step-by-step explanation:
<u>Complete Question:</u>
<em>The penny size of a nail indicates the length of the nail. The penny size d is given by the literal equation d=4n−2, where n is the length (in inches) of the nail.</em>
<em>a) Solve equation for n</em>
<em>b) Use part (a) to find length of nails with the following penny sizes: 3, 6, 10.</em>
<u>Solution:</u>
<u />
a)
We use algebra and take 2 to the other side and divide to solve for n. Shown below:

So,
n = (d+2)/4
b)
Since we have to find length of nails, we plug in 3, 6, and 10 respectively into d of the formula we found in part (a).
When d = 3
n = (3+2)/4 = 5/4 inches
When d= 6
n = (6+2)/4 = 2 inches
When d = 10
n = (10+2)/4 = 3 inches
Answer:
Option 1
Step-by-step explanation:
In the question, we want to select the diagram that best answer the question.
We are looking for 4 copies of 3 tenths. Looking at the first option, we have what we are looking for.
Second option is wrong because what we have is three copies of three tenth
Third option is wrong because what we have is 3 copies of 4 tenths
Fourth option is wrong because what we have is 3 couples of three ‘tens’
Answer:27.1c
Step-by-step explanation:
18.6 + 8.5 =27.1