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Stella [2.4K]
3 years ago
6

What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and rat

ional number.
Can someone check my answer, please? I would deeply appreciate it.

"Rational numbers are numbers that can be written in fraction form. The numbers are all integers. Irrational numbers are numbers that cannot be written as a fraction. They are non-repeating and nonterminating decimals. For example 6.12385546972578945213666479952145412639854845256987452874526874125874........ Is an irrational number. And 1/6, 2,9, and 3/4 are all rational numbers."
Mathematics
1 answer:
nordsb [41]3 years ago
4 0
You have a good response. The only critique I can think of is to reduce the size of that massive decimal number. It doesn't have to be huge as long as it's a random string of digits. For example, e = 2.71828182846... is irrational since it has no pattern in the decimal portion. The decimal portion also goes on forever. 
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Find the value of x. Round to the<br> nearest tenth.<br> 26<br> 12<br> X<br> x = [?]
lukranit [14]

Answer:

x = 10.8

Step-by-step explanation:

cos 26° = x/12

0.8988 = x/12

x = 10.785

7 0
3 years ago
A surveyor in a canyon takes measurements and draws the diagram shown.
Fiesta28 [93]

Answer:

\approx 118.4

Step-by-step explanation:

We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:

c^2=a^2+b^2-2abcos(C), where a and b are the sides and C is the angle in between.

Let's substitute 115 for a, 178 for b, and 41 for Angle C.

Thus:

c^2=115^2+178^2-2(115)(178)cos(41)

c^2=44909-40940cos(41)

c=\sqrt{44909-40940cos(41)}

c \approx 118. 4

5 0
3 years ago
A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. it currently contains 314 centimeters of water.
solniwko [45]
A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. it currently contains 314 centimeters of water.
what is the difference between the height of the water in the full cylinder and the height when 314 cubic centimeters of water remains in the cylinder?
use 3.14 for pi
310 cm
6 0
3 years ago
Read 2 more answers
Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve
vekshin1
<span>Part 1: Jasmine practices the piano for 30 minutes on Monday. Every day she increases her practice time by 5 minutes. If she continues this pattern, how many minutes, on the 7th day she will practice Tn = a + (n - 1)d
T7 = 30 + 5(7 - 1) = 30 + 5(6) = 30 + 30
T7 = 60 minutes

Part 2: Anthony goes to the gym for 10 minutes on Monday. Every day he multiplies his gym time by 2. If he continues this pattern, on the 5th day she will spend 10(2)^(5 - 1) = 10(2)^4 = 10(16) = 160 minutes in the gym.
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6 0
3 years ago
A restaurant has 9 3/5 pounds of onions. The restaurant's manager ordered 4 4/5 more pounds of onions. The onions then were mixe
Alina [70]

Answer:

7 1/5 pounds in each basket

Step-by-step explanation:

Original pounds of onion = 9 3/5

New pounds of onion = 4 4/5

The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions

Total onions = Original pounds of onion + New pounds of onion

= 9 3/5 + 4 4/5

= 48/5 + 24/5

= 48+24/5

= 72 / 5 pounds

How many pounds of onions does each basket contain?

Pounds in each basket = Total pounds /2 basket

= 72/5 ÷ 2

= 72/5 × 1/2

= 72 / 10

= 7 2/10

= 7 1/5 pounds in each basket

7 0
3 years ago
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