Answer:
9
Step-by-step explanation:
the only thing we can say for sure is that JL is splitting the triangle and also its baseline IK in half.
so, both sides of the baseline must be equal :
3x = x + 6
2x = 6
x = 3
=> LK = x + 6 = 3 + 6 = 9
The answer would be i<span>n step 4, he made an error in determining which value is closer to 82.5</span>
Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration
, we have the following equation of motion

where s (m) is the total distance, ta = 3 s is the time


Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration
, we have the following equation of motion:

tk = 4 s is the time


Since
we can conclude that
, so Alison would win.
The time it takes for Alison to cover the entire track



The time it takes for Kevin to cover the entire track



So Alison wins against Kevin by 6.93 - 6 = 0.93 s
Answer:
1) 6
2)4
3)27
4)126
5)15
Step-by-step explanation:
1. We need to see how many 8-miles are in 24 miles, than multiple it with 2in.
(24/8)*2=3*2=6in
2. Fist we calcue how many 17-feets are in 68feets, and multiple that with 1in.
(68/17)*1=4
3. We first see how many 3ins are in 9ins, and than multiple that with 9feet
(9/3)*9=3*9=27
4. First see how many 2ins are in 36ins, and then multiple it with 7.
(36/2)*7=18*7=126feet
5. See how many 15fts are in 75ft And than multiple it with 3.
(75/15)*3=5*3=15
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