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3 years ago

Complete the arithmetic sequence with its missing terms, then state the rate of change for the sequence.

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

Answer:

89,86,83

Step-by-step explanation:

92-80=12

12÷4=3

80+3=83

83+3=86

86+3=89

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For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a len

Sholpan [36]

Answer:

$\boxed{\boxed{\theta=150^{\circ}}}$

Step-by-step explanation:

We know that,

$\text{Arc length}=r\cdot \theta$

where,

r = radius,

θ = central angle in radian.

Given,

diameter = 6 m, so radius = 3 m.

$\text{Arc length}=\dfrac{5}{2}\pi$

Putting the values,

$\Rightarrow \dfrac{5}{2}\pi=3\theta$

$\Rightarrow \theta=\dfrac{5}{2\times 3}\pi$

$\Rightarrow \theta=\dfrac{5}{6}\pi=\dfrac{5}{6}\times 180^{\circ}=150^{\circ}$

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5

Morgarella [4.7K]

Answer:

$=5x+1$ or $=5x-1$

Step-by-step explanation:

One is given the following equation:

$5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}$

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

$(a-b)^2=a^2-2ab+b^2$

$=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}$

$=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}$

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

$=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}$

$=5x-\frac{|3x-1|}{-(3x-1)}$

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

$|a-b|\\=a -b$ or $(-a-b) = b-a$

$=5x-\frac{|3x-1|}{-(3x-1)}$

$=5x-\frac{3x-1}{-(3x-1)}$ or $=5x-\frac{-(3x-1)}{-(3x-1)}$

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

$=5x-\frac{3x-1}{-(3x-1)}$ or $=5x-\frac{-(3x-1)}{-(3x-1)}$

$=5x-(-1)$ or $=5x-(1)$

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

$=5x-(-1)$ or $=5x-(1)$

$=5x+1$ or $=5x-1$

6 0

2 years ago

How to find the answers ?

maria [59]

AD || BC and BD is the transversal,

Therefore, angle DBC = angle ADB = 42° [alternate angles]

AD || BC and BD is the transversal,

angle BAD + angle ABD + angle DBC = 180° [co-interior angles]

or, 106°+ angle ABD + 42° = 180°

or, 148° + angle ABD = 180°

or, angle ABD = 180°-148° = 32°

Therefore, angle ABC = (32+42)° = 74°

AB||CD and BC is the transversal,

angle ABC + angle BCD = 180° [co-interior angles]

or, 72+2x+12 = 180

or, 84+2x = 180

or, 2x=180-84 = 96

or, x = 48

Answers: a)48°

b)42°

c)72°

3 0

2 years ago

What is the value of numbers

Nuetrik [128]

Answer:

Step-by-step explanation:

In math, every digit in a number has a place value. Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. ... 8 is in ones place and its place value is 8. Understanding the place value of digits in numbers helps in writing numbers in their expanded form.

6 0

3 years ago

a store had 600 pounds of feed. after delivering equal amounts to 4 farmers , there are 60 pounds left. how many pounds did each

Daniel [21]

Answer: 135 pounds

Step-by-step explanation:

600-60=540

540/4=135

6 0

3 years ago