The correct option regarding whether the sum of a rational number and an irrational number is always irrational is given by:
Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.
<h3>What are rational and irrational numbers?</h3>
- Rational numbers are numbers that can be represented by fractions, such as terminating decimals.
- Irrational numbers are numbers that cannot be represented by fractions, such as non-terminating decimals and non-exact roots.
The sum of a terminating decimal with a non-terminating decimal always results in a non terminating decimal, that is, the sum of a rational number with an irrational number is always irrational, and the correct option is given by:
Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.
More can be learned about rational and irrational numbers at brainly.com/question/17232771
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In this problem, you are looking at a pair of similar trapezoids. So we must be looking for a ratio between a side in the smaller trapezoid and the corresponding side in the bigger trapezoid. We are given the lengths of AB and EF, which we can use to find this ratio.
But before we do anything we must convert units so that all units are the same. Let's convert the 60 feet into inches. 60 feet is 720 inches.
Next, set up the ratio I mentioned earlier. If we set up the ratio so that it is smaller:larger, we would get 4:720, which simplifies to 1:180. Basically what this ratio says is that every 1 inch in the smaller trapezoid corresponds to 180 inches in the bigger trapezoid. Now we can use this ratio to find the lengths of the sides in the bigger trapezoid. Just multiply all the lengths of the smaller trapezoid by 180 to get the lengths for the bigger trapezoid. Finally, when we have all our side lengths, divide them all by 12 (because 12 inches in 1 foot) to get the measurements in feet.
From here, I'll let you find the total length yourself.
| x - 8| = 3
x - 8 = 3 - (x - 8) = 3
x = 3 + 8 -x + 8 = 3
x = 11 -x = 3 - 8
-x = - 5
x = 5
Minimum : 5% Maximum : 11% if u need them added it is 16%
Answer:
The bus traveled <u>720</u> miles with constant speed.
Step-by-step explanation:
Given,
Distance = 336 miles
time = 7 hrs
We have to find out the distance traveled by the bus in 15 hours with constant speed.
Solution,
Since we know that the speed is equal to distance divided by time.
So the equation can be framed as;
Now time = 15 hrs
Distance traveled is equal to speed multiplied with time.
So the equation can be framed as;
Hence The bus traveled <u>720</u> miles with constant speed.
Answer:
Therefore the of blue in the second urn is 4.
Step-by-step explanation:
Let second urn contain x number of blue ball .
Urn Red Ball Blue Ball Total Ball
1 4 6 10
2 16 x 16+x
Getting a red ball from first urn is
Getting a blue ball from first urn is
Getting a red ball from second urn is
Getting a blue ball from second urn is
Getting two red balls from first and second urn is
Getting two blue balls from first and second urn is
The probability that both balls are the same in color is
Given that the probability that both balls are the same in color is 0.44.
According to the problem,
Therefore the of blue in the second urn is 4.