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3 years ago

5

Two sides of a triangle measure 3 inches and 6 inches what is the possible measure of the third side

1 answer:

IRINA_888 [86]3 years ago

6 0

Answer:

4-8 inches

Step-by-step explanation:

Using triangle inequality (let a, b, c be the side lengths of a triangle. a+b>c, and vice versa). The least length of the third side is 4 because 3+4>6. This is not possible for 3 because 3+3 is not greater than 6. The greatest is 8 because 3+6>8. It cannot be 9 because 3+6 is not greater than 9.

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A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in

SashulF [63]

Answer:

The number of machines to complete job in 2 hours is 6.

Step-by-step explanation:

Using the relation of the rate of each one machine and knowing that adding up both rates.

$Rate R +Rate S= Rate total$

Rate R = $\frac{x}{36}$ 'x' is the job

Rate S = $\frac{x}{18}$ 'x' is the job

So, using the equation of rates

$Rate total =\frac{x}{36} + \frac{x}{18}$

Rate total is going to be a job in 2 hours so = $\frac{1}{2}$

$\frac{1}{2} = \frac{x}{36}+\frac{x}{18}$ <em>adding up</em>

$\frac{1}{2}= x*\frac{3}{36}$ <em>factoring the x</em>

$\frac{1}{2}= x*\frac{1}{12}$ <em>simplifying</em>

x= $\frac{12}{2} \\$

x= 6

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3 years ago

Solve the inequality x+1<3/4 and write the solution in interval notation.

Darya [45]

The solution to the inequality in interval form is (-∞, -1/4)

<h3>Inequality expressions</h3>

Inequality are expressions not separates by an equal sign. Given the inequality below;

x+1<3/4

Subtract 1 from both sides to have;

x + 1 - 1 < 3/4 - 1

x < 3/4 - 1

x < (3-4)/4

x < -1/4

Hence the solution to the inequality in interval form is (-∞, -1/4)

Learn more on inequality here: brainly.com/question/24372553

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Step-by-step explanation:

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