So remember that the area of a circle is A = π * r^2, with r = radius. In this case, the radius is 1.5, and with that info our equation is A = π * 1.5^2 .
For this, all you need to do is solve the exponents, and your answer is A = 2.25π yds^2
Answer:
7.5
Step-by-step explanation:
If 8 people are going to the movie theater including Teddy, then we have to divide 60 by 8 which equals 7.5.
x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
<h3>Answer:</h3>
- 28/100 = 7/25
- 100/28 = 25/7
<h3>Explanation:</h3>
The wording "the ratio of A to B" means A/B.
Here, "the ratio of the weight of silicon to the weight of crust" means ...
... (28 tons)/(100 tons)
Canceling common factors (and common units), this is ...
... 28/100 = 7/25
___
Then "the ratio of the weight of crust to the weight of silicon" means ...
... (100 tons)/(28 tons) = 100/28 = 25/7
Answer:
The number is 32.
Step-by-step explanation:
x - 14 = 18
x = 32
