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3 years ago

Which number comes next in this series: 2, 3, 4, 8, 9, 10, 20, 21, 22,?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

3 0

44

The pattern is +1,+1,x2

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What is the approximate value of b, rounded to the nearest tenth? Use the law of sines to find the answer. Law of sines: answers

Dominik [7]

Answer:

$\boxed{\text{2. 4.7 units}}$

Step-by-step explanation:

Assume your triangle has the dimensions shown below.

Before we can use the Law of Sines, we must find ∠C.

1. Calculate ∠C

$\begin{array}{rcl}A + B + C & = & 180^{\circ}\\66^{\circ} + 76^{\circ} + C & = & 180^{\circ}\\142^{\circ} + C & = & 180^{\circ}\\C & = & 38\, ^{\circ}\\\end{array}$

2. Calculate b

Use the Law of Sines

$\begin{array}{rcl}\dfrac{b}{\sin B } & = & \dfrac{c}{\sin C}\\\\\dfrac{b}{\sin 76^{\circ}} & = & \dfrac{3}{\sin 38^{\circ}}\\\\\dfrac{b}{0.9703} & = & \dfrac{3}{0.6157}\\\\ & = & 4.873\\b & = & 0.9703\times 4.873\\& = & \boxed{\mathbf{4.7}}\\\end{array}$

7 0

3 years ago

if jacob used 1/7 of a liter of water to fill 1/9 of a fish aquarium how many liters are needed to fill the aquarium

Paladinen [302]

1/9 of the aquarium was filled with 1/7 liter

1 whole fraction of the aquarium will be filled = 1/7 ÷ 1/9

= 1/7 * 9/1 = 9/7

9/7 liters or 1 2/7 liters will be needed.

6 0

3 years ago

In one week, a campground rented 18 cabins at $225 each. About how much did they collect in rent altogether?

zvonat [6]

You would have to multiply $225• 18 which would equal to $4050 in all.

4 0

3 years ago

the wholesale price for a pair of shoes is $5.50. A certain department store marks up the wholesale price by 40%. Find the price

Furkat [3]

EXPLANATION

Price of shoes = $5.50

Markup= 40%

Let's call x to the unknown final price.

The markup percentage relationship is given by the following formula:

$\text{Markup =( }\frac{Selling\text{ Price}-\text{Cost Price}}{\text{Cost Price}})\cdot100$

Replacing terms:

$\text{40}=(\frac{x-5.5}{5.5})\cdot100$

Multiplying both sides by 5.5:

$40\cdot5.5=(x-5.5)\cdot100$

Dividing both sides by 100:

$\frac{40\cdot5.5}{100}=x-5.5$

Adding 5.5 to both sides:

$(\frac{40\cdot5.5}{100})+5.5=x$

Simplifyng the fraction:

$2.2+5.5=x$

Adding numbers:

$\text{7}.7\text{ = x}$

Switching sides:

$x=7.7$

Answer: The final price of the shoes in the deparment store is $7.7

6 0

1 year ago

7 guests coming to the party. Each guest drink 500ml of lemonade each. How many litres of lemondae yo buy. If rach litre costs &

Vedmedyk [2.9K]

1 guest = 500ml
7 guests = 500ml × 7 = 3500ml = 3.5litres
1 litre = $1.50
0.5 litre = $1.50 ÷ 2 = $0.75
3.5litres = $1.50 + $1.50 + $1.50 + $0.75 = $5.25
answer is $5.25

8 0

3 years ago