PART A. Answer: 12.5 cm. Explanation. For every 2 kilometers, there are 5 centimeters. 5 kilometers is 2.5 times more than 2 kilometers. So you multiply 5 centimeters by 2.5 and that is the answer.
PART B Answer: .8 km. Explanation. If you divide 5cm by 2, you get 2.5. So divide 2km by 2.5 and that is how you get .8.
C
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Given that the values of sin x and cos x are and
We need to determine the value of tan x.
<u>The value of tan x:</u>
Using the trigonometric identity, the formula for tan x is given by
Now, substituting the values and in the above formula, we get;
Simplifying the terms, we have,
Rationalizing the denominator, we get;
Thus, the value of tan x is
Hence, Option B is the correct answer.
Answer:
The age of youngest brother is <u>21</u>.
Step-by-step explanation:
Given:
The ages of 3 brothers are represented by consecutive integers.
If the oldest brother's age is decreased by twice the younger brother's age, the result is -19.
Now, to find the age of youngest brother.
Let the age of youngest brother be
Let the age of middle one be .
And the age of oldest brother age be
According to question:
⇒
⇒
Adding on both sides we get:
⇒
Adding 19 on both sides we get:
⇒
Now, getting the age of youngest brother by putting the value of :
⇒
Therefore, the age of youngest brother is 21.
Answer:
Step-by-step explanation:
Total number of tiles: 11 (obtained from counting the letters in probability)
Probability of picking the letter "i" the first time:
There are 2 letter "i's", and 11 total options, so the probability of picking an "i" is:
Probability of picking the letter "i" the second time:
We now have one less letter in the bag, as the first letter "i" was not replaced.
This means we now only have 1 letter "i", and 10 total options, so the probability of picking the last "i" is:
When you have two probabilities that are dependant on each other, you multiply them to get the probability of one, given that the other has happened.
Total probability:
Simplify by dividing by 2: