Answer:
Multiply both sides of the equation by 1/3
Step-by-step explanation:
3x^2+18x=21
The first step is to get the x term with a coefficient of 1, so divide by 3 on both sides of the equation
This is the same as multiplying by 1/3
1/3 * (3x^2+18x)=21*1/3
x^2 +6x = 7
<h2>
Greetings!</h2>
Answer:
The width is 18cm
Step-by-step explanation:
If the equation of the area of a rectangle is:
Area = length * width
Then you substitute in the values you know:
144 = 8 * width
To find the width you need to rearrange the formula to make the width the subject. Do this by dividing the area by the length:
Width = 144 / 8
Width = 18
So the width is 18cm
<h2>Hope this helps!</h2>
The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A =
where,
α is the central angle in radians
On substituting the value we get:
Therefore, the area of sector is 1.57 m²
Answer:
Radius = 11.85yd
Step-by-step explanation:
Volume of a Cone formula: V = πr²(h/3)
We know that;
V = Volume
r = radius
π = pi (this is a sign located on your calculator)
h = height
We are given that;
V = 4,410
r = unknown
h = 30
Let's substitute the values in:
=> V = πr²(h/3)
=> 4,410 = πr²(30/3)
=> 4,410 = πr²(10)
=> 4,410 / 10 = πr²
=> 441 = πr²
=> 441 / π = r²
=> 140.37 = r²
=> = r
=> 11.85 = r
Therefore, <u>the radius of the cone = 11.85yd</u>
Hope this helps!