The area of the circle is 28 ft square.
The area of the triangle is 30 ft square.
Step-by-step explanation:
1) The area of the circle= π*r^2
where π= 3.14(default value) and "r" is the radius of the circle.
Here, Radius of the circle(r)= 3 ft
Area = 3.14*3*3
= 28.26 ft sq.= 28 ft sq(rounded to the nearest whole number)
2) The triangle has the base= 10 feet and height= 6 feet
The Area of the triangle= 1/2(b)(h)
where "b" is the base and "h" is the height of the triangle.
Substitute b=10 and h=6 ,
Area of triangle= 1/2(10 ft)(6 ft)= 60/2= 30 feet sq.
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Since a cube is l x w x h, find the length of one side first:
∛8,000 = 20
The length of one side is 20 feet. This can represented as "s".
To find the area of one of the faces, use s²:
20² or 20 x 20 = 400
The area of one face is 400 ft²!
Answer:
see explanation
Step-by-step explanation:
Given
4
- 5a² + 1 = 0
Use the substitution u = a², then equation is
4u² - 5u + 1 = 0
Consider the product of the coefficient of the u² term and the constant term
product = 4 × 1 = 4 and sum = - 5
The factors are - 4 and - 1
Use these factors to split the u- term
4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )
4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term
(u - 1)(4u - 1) = 0
Equate each factor to zero and solve for u
u - 1 = 0 ⇒ u = 1
4u - 1 = 0 ⇒ 4u = 1 ⇒ u = 
Convert u back into terms of a, that is
a² = 1 ⇒ a = ± 1
a² = ⇒ a = ± 
Solutions are a = ± 1 , a = ±
Answer: 18.09yd
Step-by-step explanation:
A=πr^2
A= 3.14*2.4^2
A= 18.09yd
