Answer:
The option B is the correct answer. 79.18 m²
Step-by-step explanation:
Surface area = Base area + Lateral surface area
Area of triangle = bh/2
b - base and h - height
<u>To find the base area</u>
We can consider the base is a hexagon.
A regular hexagon is a combination of 6 equilateral triangle
Base area = 6 * area of triangle
base b = 3
<u>To find the height</u>
h =√[(6.2)² - (5.6)₂] = 2.7
Area of triangle bh/2 = (3 * 2.7)/2 = 3.99
Area of base = 23.95
To find lateral surface area
Lateral surface area = 6 * area of triangle
Area of triangle = bh/2 =(3 *6.2)/2 = 9.3
Lateral surface area = 6 * 9.3 = 55.8
<u>To find the total surface area </u>
Total surface area = Base area + lateral surface area = 23.95 + 55.8
= 79.75 m²
Therefore the option B is the correct answer. 79.18 m²
I had to answer a question similar to that one on Math XL. This question was about renting a truck instead of needing a 48 mile taxi. (Took me a long time just to find the truck question, but I am giving you the truck help me answer the question, in hopes that it will help you.)
The cost of renting a truck from Hamilton Auto Rental is $47.60 per day plus $0.15 per mile. The expression 47.60 plus 0.15 m represents the cost of renting a truck for one day and driving it m miles. Evaluate 47.60 plus 0.15 m for m equals 120.
Substitute the numerical value for each variable into the expression and simplify the result.
I am sorry if that didn't help you, but it was the closest thing I could find to use to help you.
<span>The missing angle measure in triangle ABC is 55°.
The measure of angle BAC in triangle ABC is equal to the measure of angle
EDF in triangle DEF.
The measure of angle ABC in triangle ABC is equal to the measure of </span><span>angle EFD in triangle DEF.
Triangles ABC and DEF are similar by the angle-angle criterion.
True </span>
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (
) to solve for the height of the house, in which we shall name it x.
So, the equation is 
.
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
Hope this helps!
Answer:
The written inequality can be written as 0.12x + 25 <= 150.
Step-by-step explanation:
To solve the inequality you would plug in the 125 miles for x so 0.12(125) + 25 <= 150 0.12(125) would equal 15 so 15 + 25 <= 150 150/40 would equal 3.75 days but you cant have .75 of a day so Violet would have three days max to afford to rent the car while staying in her budget.
