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Maksim231197 [3]
4 years ago
13

In this particular arithmetic sequence, a7 = 50 and a15 = 114. What is the value of a21? Hint: an = a1 + d(n − 1), where a1 is t

he first term and d is the common difference.
Mathematics
1 answer:
vovangra [49]4 years ago
3 0
If you would like a list of the steps/formula, message me and I'll send it to you as it's too long to post here. The answer to your question would be <span>a21 = 162.

Hope this helped, and if it did I'd appreciate if you marked me as brainliest as I need it to get to a higher rank. If you need any more help, feel free to add me and/or message me :)
</span>
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On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater
Juliette [100K]

Answer:

Option D: 12\frac{1}{2} is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to 7\frac{1}{2} miles

We will find the unit rate in term of inches.

\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch

Total distance covered by Bonnie according to map;

Total distance = \frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}

Total distance = \frac{5}{4}\ miles

Actual distance = \frac{5}{4}*10 = \frac{25}{2}\ miles \\

Actual distance = 12\frac{1}{2}\ miles

Hence,

Option D: 12\frac{1}{2} is the correct answer.

8 0
3 years ago
I need help on number 1
Neko [114]

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*5^2

=3.14*25

=78.5 ft^2

5 0
3 years ago
Please find the perpendicular line slope equation please! Thanks!
lana66690 [7]

We need to convert this equation to slope-intercept form first.

We can do that by solving for y.

x - 5y = 15

<em><u>Add 5y to both sides.</u></em>

x = 5y + 15

<em><u>Subtract 15 from both sides.</u></em>

x - 15 = 5y

<em><u>Divide both sides by 5.</u></em>

y = 1/5x - 3

We now know the slope is 1/5.

The slope of the line perpendicular to the line with a slope of 1/5 is -5.

The slope of a perpendicular line is the negative reciprocal of the original slope.

Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).

The equation of the new line is y = -5x - 6.


5 0
3 years ago
Read 2 more answers
What is the measure of arc EF in circle H?<br> O 41°<br> O 50°<br> O 114<br> O 1730
timurjin [86]

Answer:

The measure of arc EF = 41°

Step-by-step explanation:

Given:

Arc DE = 73°

\angle FED=123\°

Now, we know from central angle theorem that the measure of central angle by an arc is twice that of the angle made by the same arc at the circumference. Therefore,

\textrm{Major Arc DGF}=2\times \angle FED\\\textrm{Major Arc DGF}=2\times 123\\\textrm{Major Arc DGF}=246\°

Now, we know that sum of all arcs on a circle is equal to 360°.

Therefore, arc DGF + arc DE + arc EF = 360°

246+73+arc\ EF=360\\319+arc\ EF=360\\arc\ EF=360-319=41\°

Therefore, the measure of the arc EF is 41°.

7 0
4 years ago
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I can't solve it, so, here goes nothin'. "Some people are on a train, 19 people get off at one stop, then, the next one 13. Now
Stolb23 [73]

19+13=32

32+63=95

95-4=91

91+10=101

This means that 101 people are now on the bus.

HOPE THIS HELPS <3

4 0
3 years ago
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