Answer:
42.39 sq.cm
Step-by-step explanation:
Ф = 135°
r = 6 cm
Area of the sector = 
Answer is in the file below
tinyurl.com/wpazsebu
<u>Answer:</u>
The value of x is in the solution set of 3(x – 4) ≥ 5x + 2 is -10
<u>Solution:</u>
Need to determine which value of x from given option is solution set of 3(x – 4) ≥ 5x + 2
Lets first solve 3(x – 4) ≥ 5x + 2
3(x – 4) ≥ 5x + 2
=> 3x – 12 ≥ 5x + 2
=> 3x – 5x ≥ 12 + 2
=> -2x ≥ 14
=> -x ≥ 7
=> x ≤ -7
All the values of x which are less than or equal to -7 is solution set of 3(x – 4) ≥ 5x + 2. From given option there is only one value that is -10 which is less than -7
Hence from given option -10 is solution set of 3(x – 4) ≥ 5x + 2.
Answer:
1. 4/12 , 6/8
2. 16/12 , 3/4*
3. 3/2 , 15/14
4. 10/16 , 5/8
10/16 = 5/8
Which ratio forms a proportion with 9/15?
1. 6/10
2. 16/21
3. 36/50
4. 45/70
9/15 = 3/5 which is 6/10
A textbook weighs 2.5 pounds. How many kilograms does the textbook weighs? Round your answer to the nearest tenth of a pound. 1 kg = 2.2 lb
1. 1.1 kg
2. 1.8 kg
3. 5.5 kg
4. 4.7 kg
2.5 lbs * (1 kg/2.2 lbs) =
Solve the proportion using number sense. 2/8 = x/ 48
1. 6
2. 12
3. 16
4. 8
8 * 6 = 48
so what is 2 times 6 ?
or another way
1/4 * 48 = 12
Solve the proportion using cross products. 18/20 = k/110
1. 99
2. 122
3. 3.3
4. 2.9
20 k = 18*110
2 k = 18 *11
k = 9 * 11
Are the ratios 8/12 and 10/25 proportional? Explain
8/12 = 2/3
10/15 = 2/3 so no way 10/25 is 2/3
A 10-acre field produced 750 bushels of corn. At the rate, how much corn can be produced from a 14-acre field?
14 acres * ( 75 bushels/acre)
or
10/750 = 14/x
Step-by-step explanation:
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Answer:
The diver will be 8 feet from the end of the board when he hits the water.
Step-by-step explanation:
The diver hits the water when y = 0.
To find the distance, we have to find the values of x when y = 0.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this problem, we have that:
So
Then
It is a horizontal distance, so the answer is a positive value.
The diver will be 8 feet from the end of the board when he hits the water.
