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Gekata [30.6K]
3 years ago
15

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]

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69

Step-by-step explanation:

cause it is

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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:

<em><u>$18.50</u></em>

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

or

t = 90.74 days ≅ 91 days

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5 0
3 years ago
Calculate the side lengths a and b to two decimal places.
navik [9.2K]

Answer:

D. <em>a</em> = 11.71 and <em>b</em> = 15.56

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • All angles in a triangle add up to 180°

<u>Pre-Calculus</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

<u>Step 2: Find missing ∠</u>

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

<u>Step 3: Find measure of </u><em><u>b</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(110)}{b}
  2. Cross-multiply:             bsin(25)=7sin(110)
  3. Isolate <em>b</em>:                       b=\frac{7sin(110)}{sin(25)}
  4. Evaluate:                       b=15.5645
  5. Round:                          b \approx 15.56

<u>Step 4: Find measure of </u><em><u>a</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(45)}{a}
  2. Cross-multiply:             asin(25)=7sin(45)
  3. Isolate <em>a</em>:                       a=\frac{7sin(45)}{sin(25)}
  4. Evaluate:                       a=11.7121
  5. Round:                          a \approx 11.71
6 0
3 years ago
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