Answer:
Question 8: Area=520in
Question 9: No clue, sorry
Question 12: 300in
Question 11: 400in
Step-by-step explanation:
When you take the area of a figure like question 8, it helps to split the figure into two shapes and take the area of those then add it.
- 11*13= 143 and 29*13=377 377+143=520
Question 11:
A=2(wl+hl+hw)=2·(10·15+2·15+2·10)=400
Question 12:
V=L * W * H
V= 2*10*15= 300in
The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)
Apothem is a perpendicular line from the center of the regular polygon to one of its sides.
Area = 1/2 x (length of apothem) x (perimeter of hexagon)
• Given,
apothem = 16.5 inches and length of a side =19 inches
• Perimeter = 6 x (side of a hexagon)
= 6 x (19)
= 114 inches
• Hence,
Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)
Know more about Regular hexagon :
brainly.com/question/10209400?referrer=searchResults
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Explanation:
Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.
The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.
area of triangle = (1/2)*base*height
area of triangle = 0.5*(hexagon side length)*(apothem)
area of triangle = 0.5*19*16.5
area of triangle = 156.75
This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches
38 miles
Further explanation
Given:
A community bike ride offers a short 5.7-mile ride for children and families.
The short ride is followed by a long ride, 5²/₃ times as long as the short ride, for adults.
A woman bikes the short ride with her children, and then the long ride with friends.
Question:
How many miles does she ride together?
The Process:
Let us make a pattern for the short ride:
Let us do a multiplication on a fraction at first.
We crossed out 3 and 57.
Then we make a pattern for the long ride, 5²/₃ (five and two third) times as long as the short ride:
A woman bikes the short ride with her children, and then the long ride with friends. Let's calculate how many miles does she ride together.
Thus, she rides 38 miles together.
Keywords: A community bike ride, offers, a short 5.7-mile ride, for children and families, followed by, 5 2/3 times, for adults, a woman, with friends, how many miles, she ride together
1) 4(x-6)<2
2) 7n+19<8
3) 3(11+x)>=15
4) 4n-12<6
5) 2n+14>=1
6) 2(x+7)>=10
7) 11n-3>9
8)8x+4<=13
9)5n+16>=9
10) 4(x+2)<14