Question 1:
The area of a regular hexagon knowing one of its sides by definition is given by:
A = (3 * root (3) * L ^ 2) / (2)
Substituting values we have:
A = (3 * root (3) * (10) ^ 2) / (2)
A = 259.8076211
Rounding off we have:
A = 259.8 squeare feet
Answer:
the area of the floor is:
A = 259.8 squeare feet
option B
Question 2:
We search the are of each sector separately:
For Den:
A1 = (16) * (16)
A1 = 256
For Entrance:
A2 = (4) * (4)
A2 = 16
For Kitchen:
A3 = (12) * (6) + (6) * (6)
A3 = 72 + 36
A3 = 108
The total area is:
A = A1 + A2 + A3
Substituting:
A = 256 + 16 + 108
A = 380 square feet
Answer:
A = 380 square feet
option F
Question 3:
For this case we look for the area of the two shaded triangles.
We have then:
Triangle 1:
A1 = (1/2) * (3) * (4)
A1 = 6
Triangle 2:
A2 = (1/2) * (3) * (4 + 5)
A2 = 13.5
The area of the shaded region is the sum of the areas:
A = A1 + A2
Substituting:
A = 6 + 13.5
A = 19.5 square units
Answer:
A = 19.5 square units
option D
Question 4:
The area of the parallelogram by definition is:
A = (b) * (h)
Where,
b: base
h: height
Substituting values we have:
A = (15) * (15 + 6)
A = 315 square centimeters
Answer:
A = 315 square centimeters
option J
The quotient is 14/19.
When dividing fractions, you multiply by the reciprocal
Jerome opened the account 17 years ago
<em><u>Solution:</u></em>
Jerome deposited $8,000 into a new retirement account with a simple interest rate of 2.8%
Therefore,
Principal = $ 8000
Rate of interest = 2.8 %
The account has earned $3,808 in interest
Simple interest earned = $ 3808
<em><u>The formula for simple interest is given as:</u></em>
![\text{ Simple interest} = \frac{p \times n \times r}{100}](https://tex.z-dn.net/?f=%5Ctext%7B%20Simple%20interest%7D%20%3D%20%5Cfrac%7Bp%20%5Ctimes%20n%20%5Ctimes%20r%7D%7B100%7D)
Where,
"p" is the principal and "n" is the number of years and "r" is the rate of interest
Substituting the known values,
![3808 = \frac{8000 \times n \times 2.8}{100}\\\\3808 = 80 \times n \times 2.8\\\\3808 = 224 \times n\\\\n = \frac{3808}{224}\\\\n = 17](https://tex.z-dn.net/?f=3808%20%3D%20%5Cfrac%7B8000%20%5Ctimes%20n%20%5Ctimes%202.8%7D%7B100%7D%5C%5C%5C%5C3808%20%3D%2080%20%5Ctimes%20n%20%5Ctimes%202.8%5C%5C%5C%5C3808%20%3D%20224%20%5Ctimes%20n%5C%5C%5C%5Cn%20%3D%20%5Cfrac%7B3808%7D%7B224%7D%5C%5C%5C%5Cn%20%3D%2017)
Thus he opened the account 17 years ago
Answer:
Difference = 250 students
Step-by-step explanation:
Let the total number of students be x.
Given the following data;
% driving = 30%
% riding = 60%
% walking = 10%
Number of students driving = 375
First of all, we would determine the total number of students.
Total = 30/100 * x = 375
0.3x = 375
Total, x = 375/0.3
Total, x = 1250 students.
Next, we determine the number of students walking;
Walking = 10/100 * 1250
Walking = 12500/100
Walking = 125 students
Finally, we would determine many more students drive to school than walk to school;
Difference = 375 - 125
Difference = 250 students
That already is a 91.1 grade average. If you want to keep that, get a 90 and above. To find your average, add all your test scores up and divide them by how many scores there are. For instance if you add all those scores up you get 274. Divide it by 3 because there are three scores and there is your average!