Answer:
78 percent
Step-by-step explanation:
percent increase = (64-36)/36 ×100
= 28/36 ×100 = 0.78×100= 78
Answer: a. 279.11meters
b. 2513.27 feet
Step-by-step explanation:
Circumference of a circle= 2πr
where r = radius of the circle.
In the picture, there are t
18 spokes, therefore the angle between any two spokes will be:
360° ÷ 18 = 20°
The arc length traversed by passenger will be= radius of the circle × the angle that is traversed by the passenger
radius = 200 feet.
He has traveled from M to J,that subtends 4 × 20 = 80°
= 80π/180 radian = 4π/9radian
The passenger has therefore traveled:
200 × 4π/9 = 800π/9
= (800×3.14)/9
= 279.11meters
Part B.
Full ride is equivalent to 2 × the circumference of the circle= 2 × 2πr
= 4πr
= 4 × 3.14 × 200
= 2512 feet
So,he would travel 4* 7 * 200 feet = 2513.27 feet
Answer: 5 • (2x2 - 17x - 2)
———————————————————
x - 8
Step-by-step explanation:
Step by step solution :
Step 1 :
Equation at the end of step 1 :
Step 2 :
10x2 - 85x - 10
Simplify ———————————————
x - 8
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
10x2 - 85x - 10 = 5 • (2x2 - 17x - 2)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 - 17x - 2
The first term is, 2x2 its coefficient is 2 .
The middle term is, -17x its coefficient is -17 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -17 .
-4 + 1 = -3
-2 + 2 = 0
-1 + 4 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Answer:
30. $<u>25.42</u>
31. $<u>21.48 </u>
32. $<u>23.06</u>
Step-by-step explanation:
30. 8.54+7.50+9.38 = 25.42
31. 6.99+5.99+8.50 = 21.48
32. 8.50+5.33+9.23 = 23.06
Answer:
3¼
Step-by-step explanation:

We take any of the two points shown in the question. I will take (-3, 1) and (1, 14).
x¹ = -3
y¹ = 1
x² = 1
y² = 14
Now, we sub these figures into the formula.

This leaves us with 14-1/1+3, which we can make into 13/4
13/4 = 3¼
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