Answer:
SA = 1244.64 square centimeters
Step-by-step explanation:
From the attached figure
The formula of the surface area of the prism is SA = 2B + PH, where
- B is the area of its base
- P is the perimeter of its base
- H is the distance between its bases
The base of the prism is a regular hexagon with side 8 cm
If you join each vertex of the hexagon with its center you will form 6 congruent triangles with base 8 cm and height 6.93 cm
The area of the hexagon = 6 × area of a triangle
∵ The base of the triangle = 8 cm
∵ Its height = 6.93 cm
- The formula of the area of a triangle is A = 
× base × height
∴ Area of the triangle = × 8 × 6.93 = 27.72 cm²
- Lets find the area of the hexagon
∴ The area of the hexagon = 6 × 27 .72 = 166.32 cm²
∴ B = 166.32 cm²
The formula of the perimeter of the regular hexagon is P = 6 × s, where s is the length of its side
∵ The side of the hexagon is 8 cm
∴ P = 6 × 8
∴ P = 48 cm
∵ The distance between the two bases is 19 cm
∴ H = 19 cm
Substitute the values of B, P and H in the formula of the surface area above
∵ SA = 2(166.32) + (48)(19)
∴ SA = 332.64 + 912
∴ SA = 1244.64 square centimeters
1. The winner threw the ball 175 ft, so what we want to do now is we convert (175) ft into yd.
We already know that 1ft= 1/3 yd, so the distance in yd is:
175 ft* (1/3 yd/ 1 ft) = 58 1/3 yd.
The answer is A. 58 1/3 yards.
2. 75 min* (4.5 miles/ 15 min)= 22.5 miles.
The correct answer is D. 22.5
3. Let's say that there are 4 weeks in a month. There are 5 weekdays in a week, so the number of weekdays in a month is:
5 weekdays/ 1 week* (4 weeks/ 1 month)= 20 weekdays/ 1 month.
Alex runs 5.9 miles/ 1 weekday, so the number of miles he runs every month is:
(5.9 miles/ 1 weekday)* (20 weekdays/ 1 month)= 118 miles/ month.
The nearest number to 118 is 120, so the answer is D.120 miles
4. 10 sweaters to 8 shirts:
10:8= 10/8= 5/4
The answer is B. 5/4
Hope this would help~
Answer:
I don't see attachment
Step-by-step explanation:
Answer:
The absolute value inequality to represent the situation is presented as follows;
Step-by-step explanation:
The given information are;
The number of words Annika needs to write = 400 words
The absolute deviation of the number of words Annika needs to write = 10 words
When we let the number of words Annika write = w, we have;
The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;
Therefore we have;
gives the statement, -10 < w - 400 < 10.
B because it obviously can’t be any other
