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3 years ago

Solve each inequality and give your answers in interval notation:

Mathematics

1 answer:

Aleksandr [31]3 years ago

5 0

Answer: for |9x – 11 < 4

7/9<x<5/3

Step-by-step explanation:

interval notation:

(7/9 , 5/3)

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The sum of two numbers is equal to 63, and their difference is equal to 12. Find the numbers

Ainat [17]

Answer:

25.5 and 37.5

Step-by-step explanation:

x+y=63

x-y = 12 then x = 12 + y sub this into the first equation

(12+y) + y = 63

12 + 2y = 63

2y = 51

y = 25.5 then x = 37.5

6 0

1 year ago

What are the missing values in the following geometric sequence? __, 6, 3, __, __.

9966 [12]

The missing numbers are 12, 1.5, and 0.75 because it gets divided by 2 (or multiplied by 0.5) each time.

hope this helps.

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3 years ago

What is the length of one side of a regular octagon if its perimeter is 208 mm?

marin [14]

Well if you know the top and the bottom are equal and the two sides are equal. So just add them up

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2 years ago

What is 26.149 meters rounded to the nearest tenth of a meter

nata0808 [166]

The answer should be 26.1 meters.

6 0

3 years ago

the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 1

Kobotan [32]

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

<h3>How to calculate the volume of a pyramid.</h3>

Mathematically, the volume of a pyramid is given by the formula:

$Volume = \frac{1}{3} \times base\;area \times height$

The area of a right triangle is given by:

$A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}$

A = 54 square units.

<u>Given the following data:</u>

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

$234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}$

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790

7 0

1 year ago