Paul needs 2 1/4 yards of fabric to make a tablecloth. How many table clothes can he make from 18 1/2 yards of fabric

Answer:

140 toy cars

Step-by-step explanation:

The ratio of Ed's toy car to Pete's toy car is initially given as 5:2

Ed gave Pete a total number of 30 cars

Let x represent the greatest common factor that exists between both number

Number of Ed's car is represented as 5x

Number of Pete car is represented as 2x

Since they each have an equal number of cars which is 30 then we can solve for x as follows

5x-30=2x+30

Collect the like terms

5x-2x= 30+30

3x= 60

Divide both sides by the coefficient of x which is 3

3x/3=60/3

x=20

Ed's car is 5x, we substitute 20 for x

5(20)

= 100 cars

Pete car is 2x,we substitute 20 for x

2(20)

= 40 cars

Therefore, the total number of cars can be calculated as follows

= 100+40

= 140 toy cars

Hence they have 140 toy cars altogether

Answer:

140

Step-by-step explanation:

Based on the right-angle triangle shown below, thesine of ∠A include the following: B.) 3/5.

In order to determine the magnitude of angle A, we would apply the basic sine trigonometric ratio because the given side lengths represent the opposite side (CB) and hypotenuse (AB) of a right-angled triangle;

sin(θ) = Opp/Hyp

Where:

• Opp represent the opposite side of a right-angled triangle.
• Hyp represent the hypotenuse of a right-angled triangle.
• θ represent the angle.

Based on sine trigonometric ratio, the magnitude of angle A can be calculated as follows:

sin(θ) = Opp/Hyp

sin(A) = CB/AB

sin(A) = 3/5.

In conclusion, we can reasonably and logically deduce that thesine of angle A (m∠A) is 3/5.

Complete Question:

Find the sine of ∠A.

A.) 3/4

B.) 3/5

C.) 4/5

D.) 4/3

For edgeunity students it’s approximately 8.6