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3 years ago

Find the nth term or this sequence 3 8 13 18 23

2 answers:

4 0

Solutions
3 8 13 18 23

The pattern is add 5 each time.
3 + 5 = 8
8 + 5 = 13
13 + 5 = 18
18 + 5 = 23
23 + 5 = 28
28 + 5 = 33
33 + 5 = 38
38 + 5 = 43 ⇒ The 9th term is 43

43 is the answer

True [87]3 years ago

4 0

The pattern is adding 5.
1st:3
2nd:8
3rd:13
4th:18
5th:23
6th:28
7th:33
8th:38
9th:43

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−7x−5=4x-29 What is the answer?

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I think x is equaled to 29/39

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2 years ago

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Find AB. Round to the nearest tenth. 61°

anzhelika [568]

Answer:

AB ≈ 14.3

Step-by-step explanation:

We're given two sides (BC and CA) and an angle (C) between them; the law of cosines is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:

$c^2=a^2+b^2-2ab\cos{C}$

Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have

$c=AB\\a=BC=16\\b=CA=5\\C=m\angle C=61^{\circ}$

Substituting these values into the law of cosines:

$c^2=16^2+5^2-2(16)(5)\cos{61^{\circ}}\\c^2=256+25-160\cos{61^{\circ}}\\c^2=281-160\cos{61^{\circ}}\\c=\sqrt{281-160\cos{61^{\circ}}}\\c\approx 14.3$

6 0

3 years ago

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Last year , there were 30 male members and 20 female members in a Chess Club . This year , the number of male members is decreas

LekaFEV [45]

The r% of a quantity x is computed by dividing x in 100 parts, and considering r of such parts. So, the r% of the male is

$30\times\cfrac{r}{100} = 0.3 r$

and similarly, the r% of female is

$20\times\cfrac{r}{100} = 0.2 r$

The number of males decreased by this quantity, so now it is

$30 - 0.3r$

and the number of female increased by this quantity, so now it is

$20+0.2r$

we know that these two new counts are the same number, so we can build and solve the equality

$30 - 0.3r = 20+0.2r$

Subtract 20 and add 0.3r from both sides:

$10 = 0.5r$

Divide both sides by 0.5 to solve for r:

$r = 20$

Let's check the answer

The 20% of 30 is $30 \times \frac{20}{100} = 6$ , while the 20% of 20 is 4. So, we are stating that $30-6 = 20+4$ which is true because both expressions evaluate to 24.