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Ksju [112]
2 years ago
15

If the common difference of an ap is 3/2 and its 20 th term 35×1/2 find first term and 15 th term

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
4 0

Answer:

Step-by-step explanation:

d = 3/2

a₂₀ = a₁+19d

35/2 = a₁ + 19×3/2

a₁ = 35/2 - 19×3/2 = -11

a₁₅ = a₁+14d = -11 + 14×3/2 = 10

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X - 5 (x-1) = x - (2x - 3)
True [87]

Answer:

x=  2/3 = 0.667

Step-by-step explanation:

4 0
2 years ago
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X/2+4<7
Lapatulllka [165]

Answer:

x<6

Step-by-step explanation:

x/2 < 7-4

x < 3*2

x<6

3 0
3 years ago
Please help on question 17 with step by step instructions <br> Thanks in advance xx
shutvik [7]
Let x = Initial Price

If we increase x by 5%, we are adding 0.05x

Therefore, the new price = x + 0.05x = 1.05x

If the ticket has increased by £2.30, £2.30 is 5% of the initial price, or 0.05x

0.05x = 2.30

x = 2.30/0.05

x = 46

Therefore, the price of the ticket before the increase was £46

You can also check this backwards by doing 46*0.05 = 2.30
6 0
2 years ago
Space Shuttle Marion is observing the launch of a space
Vera_Pavlovna [14]

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

\tan{16^\circ} = \frac{1}{x_1}

x_1 = \frac{1}{\tan{16^\circ}}

x_1 = 3.5

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

\tan{74^\circ} = \frac{1}{x_2}

x_2 = \frac{1}{\tan{74^\circ}}

x_2 = 0.3

The distance is:

d = x_1 - x_2 = 3.5 - 0.3 = 3.2

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at brainly.com/question/18090623

3 0
2 years ago
If the angles of a traingle are in the ratio 2:3:4 , Find Them​
DedPeter [7]

Answer:

40°, 60°, and 80°

Step-by-step explanation:

We know that the sum of the angles of a triangle is equal to 180°.

We can use this equation to solve for these angles:

180 = 2x + 3x + 4x

180 = 9x

20 = x

Then substitute the solution in for x to solve for the angles:

2(20) = 40°

3(20) = 60°

4(20) = 80°

Therefore, the angles are 40°, 60°, and 80°.

8 0
3 years ago
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