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2 years ago

What is the 20th term of the linear sequence?1,7,13,19,25

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

4 0

Answer:

115

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₂₀ = 1 + (19 × 6) = 1 + 114 = 115

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A circle is drawn on the coordinate plane. It has a center at (2, 1) and passes through the point (2, 5). What is the approximat

ArbitrLikvidat [17]

First we need to find the radius. Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:

r=((5-1)^2+(2-2)^2)^(1/2)

r=(4^2-0^2)^(1/2)

r=4 units.

Circumference=2pr so our circumference is 8p units^2

Approximately 25.13 u^2

8 0

3 years ago

Look at the diagram.

azamat

Answer:

Option G

Step-by-step explanation:

Option F

m∠1 + 121 = 180 [Sum of linear angles = 180°]

True.

Option G

121 + m∠2 + 33 = 180

False. Because 121° is not an interior angle of the given triangle.

Option H

33 + m∠1 = 92

True.

Measure of exterior angle of a triangle is equal to the sum of he measure of the non adjacent interior angles.

Option J

121 + 92 + m∠3 = 360°

True.

Sum of the exterior angles of triangle is 180°.

5 0

2 years ago

Index notation -

Jlenok [28]

A) 4*3 x 5*2
b) 9*4 x 7*2
c) 3 x 7*4
d) 2*2 x 9*4
8*5

6 0

3 years ago

Find the angle of depression

slavikrds [6]

Given:

In triangle ABC, $m\angle A=66^\circ, AB=5\text{ mi}$ .

To find:

The angle of depression from point A to point C.

Solution:

According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In triangle ABC,

$m\angle A+m\angle B+m\angle C=180^\circ$

$66^\circ+90^\circ+m\angle C=180^\circ$

$156^\circ+m\angle C=180^\circ$

$m\angle C=180^\circ-156^\circ$

$m\angle C=24^\circ$

We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.

Therefore, the angle of depression is 24 degrees.

6 0

3 years ago

Select all irrational numbers

Sliva [168]

$\sqrt{9}=3\notin\mathbb{I} \\\sqrt{12}=2\sqrt{3}\in\mathbb{I} \\\sqrt{16}=4\notin\mathbb{I} \\\sqrt{20}=2\sqrt{5}\in\mathbb{I} \\\sqrt{25}=5\notin\mathbb{I}$

Hope this helps.

6 0

2 years ago