Answer:
m∠2 = 78°
Step-by-step explanation:
From the given picture,
lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.
∠1 and angle with the measure of 78° are corresponding angles.
Therefore, m∠1 = 78°
m∠1 = m∠2 [Vertical angles are equal]
m∠2 = 78°
Answer:
<em>11.29 grams </em><em>of strontium-90 were present in the original rock sample in 1933.</em>
Step-by-step explanation:
Strontium has a half-life of 28.8 years. Therefore,
1989 - 1933 = 56 years.
56 / 28.8 = 1.94 half-lives
Thus, the quantity of the radioisotope remaining will double for each half-life elapsed. moving backwards in time.
Therefore, moving backwards in time by 1.94 half-lives, the quantity remaining will double by 1.94 times.
Thus, the amount remaining in 1933 is
3.0 × (1.94)² = <em>11.29 grams</em>
First turn 7 hours and 3/4 hours into a decimal number. This will help when doing equations (the work).
This means finding the decimal value of 3/4. 3 divided by four is .75, which means that's the decimal value. Now add 7.
The full decimal number is 7.75 hours.
Now, the question says you are two-thirds there, meaning you have one-third to get there, also known as 1/3.
What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.
One-third of 7.75 is 7.75 divided by 3 which is approximately equal to 2.58.
Since the unit is hours, 2.58 represents 2.58 hours.
Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.
Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.
I hope this helped!
Answer:
q1=11
q3= 33
Step-by-step explanation:
The data set has 44 number of students. The first quartile is 25 % of the numbers in the data set . So
25 % of 44 = 25/100 * 44= 0.25 *44 = 11
So the first quartile lies at 11.
Similarly the third quartile lies at the 75 % of the numbers of the data set . So
75 % of 44 = 75/100 * 44= 0.75 *44 = 33
So the third quartile lies at 33.
87.96 just divide 24 by 25 and keep the whole number as is
