Answer:
Step-by-step explanation:
3x + 3y = -3 given
3x = -3y - 3 subtract 3y from both sides
x = -y -1 divide everything by 3
hope this helps <3
Answer:
The area of a circle with radius 0.2865 is 0.2579
Step-by-step explanation:
Area of a circle in terms of radius:
Area = π·r2 = 3.14·0.292 = 0.26 square meters(*)
Area of a circle in terms of diameter:
Area = π·(d2)2 = 3.14·(0.572)2 = 3.14·(0.29)2 = 0.26 square meters(*)
Area of a circle in terms of circumference:
Area = C2
4π
= 1.82
4π
= 3.24
(4·3.14)
= 3.24
12.56
= 0.26 square meters(*)
- The value of the n is 8.
- There are 7 positive integers between 100 and 200 which are divisible by 14.
<u>Step-by-step explanation:</u>
The sum of first n odd positive integer is n^2. The nth odd number is 2n-1.
i.e. 1 + 3 + ........+ (2n-1) = n^2.
1 + 3 +..........+ (2n-1) = 64
n^2 = 64
n = 8.
The positive integers between 100 and 200 which are divisible by 14 are 112, 126, 140, 154, 168, 182, 196. It is obtained by the multiples of 14 between 100 and 200.
100 = 7 * 14 + 2
200 = 14 * 14 + 4. The answer is 14 - 7 = 7
The seven numbers are
14 * 8 = 112
14 * 9 = 126
14 * 10 = 140
14 * 11 = 154
14 * 12 = 168
14 * 13 = 182
14 * 14 = 196
Answer:
So, Width = 7/2 or 3.5
Length = 4
Step-by-step explanation:
Area of rectangle = 14 ft^2
Let width of rectangle 2 = x
and Length of rectangle = 2x-3
Formula used for area of rectangle
Area = Length * Width
14 = (2x - 3) x
14 = 2x^2 - 3x
=> 2x^2 -3x -14 = 0
Solving the quadratic equation using factorization
-28 x^2 = -7x * -4x
2x^2 -7x + 4x -14 = 0
x (2x -7) +2(2x-7) = 0
(x+2) (2x-7) =0
=> x + 2 =0 and 2x -7 = 0
x = -2 and x = 7/2
Since width cannot be negative so, x= 7/2
Width= x = 7/2
Length = 2x -3 => 2(7/2) - 3
=> 7 -3
=> 4
So, Width = 7/2 or 3.5
Length = 4.
Answer:
27: 29.93 Seconds
28: 28 ° Fahrenheit
Step-by-step explanation:
Number #27:
Given:
#1 Lap = 14.76 seconds
#2 Lap = 15.17 seconds
Steps:
1. Use the algorithm method.
1
14.76
+ 15.17
-------------
Answer: 29.93 seconds
--------------------------------------------------------------------------------------
Number #28:
Given:
Wind Chill Temperature: - 18 ° F
Actual Temperature: 10 ° F
Steps:
1. Subtract 18 from 10.
Answer: - 28 ° degrees fahrenheit
Note: Whenever there is a negative sign next to a temperature, it means it's below freezing as the below freezing temperature is 0 ° Fahrenheit. This also means subtraction. In this case, you would subtract the negative amount from the positive amount creating an equation, that equation represents the degrees in fahrenheit:
10 - 18
The result should be -28.
This also means that the difference between both temperatures is 28 degrees. Wind chill creates a feeling of higher temperatures even though the actual temperature in the atmosphere was 10 ° F in this specific land structure.
Hope this helps,
-ROR
