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3 years ago

Write the explicit formula for the arithmetic sequence 14, 21, 28, 35, . . . What is term number 33 in this sequence

Mathematics

1 answer:

Rina8888 [55]3 years ago

6 0

Answer:

I am pretty sure that it is 231 because these are all multiples of 7. so if you multiplied 7 by 33 you would get 231

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Emilio used addition of two rational numbers to solve a problem. Jim use subtraction to solve the problem. Is it possible that t

densk [106]

Answer:

Step-by-step explanation:

cause it is

5 0

4 years ago

Solve and show work to -3 exponent 2 =

olganol [36]

I think it might be 9

4 0

4 years ago

A machinist earns $647.50 for working a 35-hour week. What is the machinist's hourly rate of pay?

Oxana [17]

Answer:

$18.50

Step-by-step explanation:

$647.50 ÷ 35 (as its the hours they work).

You do this to find the value of one hour..

= $18.50 Every hour!

5 0

3 years ago

A planet has a circular orbit around a star. It is a distance of 98,000,000 km from the centre of the star. It orbits at an aver

avanturin [10]

Answer:

91 days

Step-by-step explanation:

Given that,

A planet is at a distance of 98,000,000 km from the centre of the star.

It orbits at an average speed of 45,000 km/h.

The speed of an object is given by the distance covered divided by the time taken. So,

$v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{98,000,000}{45,000}\\\\t= $$2177.77\ h$

t = 90.74 days ≅ 91 days

So, the planet take 91 days to orbit the star.

5 0

3 years ago

Calculate the side lengths a and b to two decimal places.

navik [9.2K]

Answer:

D. a = 11.71 and b = 15.56

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Trigonometry

All angles in a triangle add up to 180°

Pre-Calculus

Law of Sines: $\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}$

Step-by-step explanation:

Step 1: Define

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

Step 2: Find missing ∠

Set up equation: m∠C + 45° + 110° = 180°
Combine like terms: m∠C + 115° = 180°
Isolate unknown: m∠C = 25°

Step 3: Find measure of b

Substitute: $\frac{sin(25)}{7} =\frac{sin(110)}{b}$
Cross-multiply: $bsin(25)=7sin(110)$
Isolate b: $b=\frac{7sin(110)}{sin(25)}$
Evaluate: $b=15.5645$
Round: $b \approx 15.56$

Step 4: Find measure of a

Substitute: $\frac{sin(25)}{7} =\frac{sin(45)}{a}$
Cross-multiply: $asin(25)=7sin(45)$
Isolate a: $a=\frac{7sin(45)}{sin(25)}$
Evaluate: $a=11.7121$
Round: $a \approx 11.71$

6 0

3 years ago