a machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours

Answers

Answer 1
Answer: There are many ways to find the answer. One of them is to find how long does it take to make one part and then divide 25.8 by the result:

5.4 ÷ 9 = 0.6 (that's how long does it take to make one part)
25.8 ÷ 0.6 = 43 (that's how many parts can be made in 25.8 hours)

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A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line?a. The rise is –5, the run is 4. b. The rise is –4, the run is –5. c. The run is –5, the rise is 4. d. The run is 4, the rise is 5.

*****Write a polynomial using the roots -3,5i. PLEASE HELP IM SO LOST!!!

Answers

The polynomial (x-a) has a unique root, a, for any a.

Hence (x+3)(x-5i) is a polynomial with roots -3 and 5i

The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?square root of 5
square root of 7

5

7

Answers

Answer:

square root of 7

Step-by-step explanation:

Each right angle triangle has 3 sides known as the opposite, adjacent and hypotenuse sides. The relationship between these 3 sides is as defined by pythagoras theorem which states that

a² + b² = c²

where a and b are the lengths of the opposite and adjacent sides (in no particular order) and c is the length of the hypotenuse side.

Given that the leg of a right triangle is 3 units and the hypotenuse is 4 units, it means that

a² + 3² = 4

where a is the length in units, of the other leg of the triangle

a² = 4² - 3

a² = 16 - 9

= 7

a = √7

What is 0.121212 expressed as the quotient of two integers in simplest form?

Answers

In simplest form it would be 0.12 repeating. To do the repeating sign you would put a line over 12.

A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased?

Answers

25% because u have to divide the diameter of the logo to get the radius.

If the circumference of a circle is 94.25 inches then what is the radius?

Answers

Radius = 15in  Given the diameter or radius of a circle, we can find thecircumference. We can also find the diameter (andradius) of a circle given the circumference. The formulas for diameter and circumference of a circle are listed below. We round to 3.14 in order to simplify ourcalculations.
To find the circumference you do 2 x pi x radius so...
to find the radius from given circumference, work backwards...
94.25 divided by pi = 30 (rounded)
30 divided by 2 = 15
The answer is 15 inches (rounded)
Hope this helps! :)

What is the value of a for the equation below?15 + 2a = 35
a = 10
a = 5
a = 20
a = 25

Answers

Steps to solve:

15 + 2a = 35

~Subtract 15 to both sides

2a = 20

~Divide 2 to both sides

a = 10

Best of Luck!