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Strike441 [17]
2 years ago
12

Fine the sum of the first 8 terms of the arithmetic series 2+7+12+...

Mathematics
1 answer:
ss7ja [257]2 years ago
4 0

Answer:

156

Step-by-step explanation:

s8 = n/2 [2t + (n-1)(d)]

= 8/2 [2(2) + (8-1)(5)]

= 4 [4 + (7)(5)]

= 4 (4 + 35)

= 4 (39)

= 156

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~~~~\log_3 (x) = 4\\\\\implies x= 3^4 \\\\\implies x= 81

7 0
2 years ago
What is the answer to 1.75g x 1000mg/1g?
Lerok [7]
1750mg in 1.75g just move the decimal place over three places. so its 1750mg
8 0
3 years ago
Please, Help.<br>the answer isn't 30°
vagabundo [1.1K]

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)

<h3>How to find a missing angle by triangle properties</h3>

Triangles are <em>geometrical</em> figures formed by three sides and whose sum of <em>internal</em> angles equals 180°. There are two kind of triangles existing in this question: (i) <em>Right</em> triangles, (ii) <em>Isosceles</em> triangles.

<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.

According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:

<em>2 · x + 90 + θ = 180</em>   (1)

<em>(90 - x) + 90 + θ = 180</em>   (2)

By equalizing (1) and (2) we solve the system for <em>x</em>:

<em>2 · x = 90 - x</em>

<em>3 · x = 90</em>

<em>x = 30</em>

And by (1) we solve the system for <em>θ</em>:

<em>θ = 180 - 2 · x - 90</em>

<em>θ = 30</em>

<em />

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A) \blacksquare

To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314

8 0
3 years ago
Shuan rides his bike at a speed of 19 mph how far in miles is shuan travel in 25 minutes
irga5000 [103]

Answer:

7.92 miles   (aprox.)

Step-by-step explanation:

1 hour = 60 minutes

19mph = 19miles/hour = 19miles/60 minutes

Proportions:

19 miles ⇔ 60 minutes

W miles  ⇔ 25 minutes

W = 19*25/60

W = 7.92 miles     (aprox)

6 0
3 years ago
Select the digit in the ten thousand place for 542,970​
just olya [345]

Answer:

The digit in the ten thousand place is 4 in 542,970

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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