Answer:
3077.2
Step-by-step explanation:
A circle's mass is found by
Pie times R^2
7^2 is 49, times 3.14 is 153.86
then you Multiply 153.86 by 20 which gives you 3077.2
Answer:
Step-by-step explanation:
1. here you go mate
step 1
6x - 12 < 6 equation
step 2
6x - 12 < 6 simplify
6x-12+12<6+12
step 3
6x<18 Divide both sides
answer
x<3
2. Here you go mate
step 1
2(3x-8) >8 equation
step 2
2(3x-8) >8 simplify
6x-16+16>8+16
step 3
6x>24 divide both sides
answer
x>4
Answer:
x = 0.19 or x = -0.76
Step-by-step explanation:
Equation: 7²-4x = 2
reordering the equation,
7x²-4x-2 = 0
Applying,
x = [-b±√(b²-4ac)]/2a..................... Equation 1
From the question,
Given: a = 7, b = -4, c = -2
Substitute these values into equation 1
x = [-4±√(-4²-(2×7×-2)]/(2×7)
x = [-4±√(16+28)]/14
x = (-4±√44)/14
Either
x = (-4+√44)/14
x = (-4+6.63)/14
x = 2.63/14
x = 0.19
or
x = (-4-√44)/14
x = (-4-6.63)/14
x = -10.63/14
x = -0.76
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
Answer:
Option A is correct.
The function for the given graph is;
Step-by-step explanation:
An exponential function is in the form of 
......[1] where a is the initial value and b≠ 0 , b >1 .
Given two points as shown in figure i.e,
let A = (0, 2) and B = (1,8)
Substitute these points in equation [1] we have;
For A = (0,2)
= a
⇒ a = 2
and
for B = (1, 8)
or
Substitute the value of a=2 in above equation to solve for b;
2b = 8
divide both sides by 2 we get;
b = 4
Then, the function for the graph is, y=
