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Triss [41]
3 years ago
7

What is the quotient? 1462 divided 58 Enter your answer as a mixed number in the simplest form

Mathematics
2 answers:
stepan [7]3 years ago
8 0
The answer would be 25.2or 126/5
Vinil7 [7]3 years ago
3 0

Answer:

25\frac{6}{29}

Step-by-step explanation:

We are asked to find the quotient of 1462 divided 58 as a mixed number.

Write as a division problem:

\frac{1462}{58}

Reduce fraction:

\frac{2\times 731}{2\times 29}

\frac{731}{29}

\frac{29\times 25+6}{29}

25\frac{6}{29}

Therefore, our required quotient is 25\frac{6}{29}.

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Write the product as a sum: 14cos(39x)sin(19x)
charle [14.2K]

Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

4 0
3 years ago
A recipe calls for 2/5 cup of sugar for every 8 teaspoons of vanilla. What is the unit rate in teaspoons per cup ?
tamaranim1 [39]
For 2/5 cup, vanilla needed = 8 teaspoons
so, for 1 cup, it would be: 8 / 2/5
⇒8 × 5/2
⇒40/2
⇒20

In short, Your Answer would be 20 teaspoons

Hope this helps!
7 0
4 years ago
Read 2 more answers
Li Wei has several streams of income, as shown in the table. Some streams are active income and some are passive.
WARRIOR [948]

Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>

Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.

In this scenario, the passive income sources are:

  • Stock dividends
  • Business investment interest
  • Royalties from a novel

Total passive income therefore is:

= 530 + 1,080 + 1,400

= $3,010

In conclusion, the total passive income is $3,010.

<em>Find out more at brainly.com/question/1246309. </em>

3 0
3 years ago
VERY URGENT.
NemiM [27]

Answer:

(1)Base Area= 81 square yards.

(2)

  • 3 ft long and 16 ft wide
  • 6 ft long and 8 ft wide
  • 24 ft long and 2 ft wide

(3)Height=12 Units

Step-by-step explanation:

<u>Question 1</u>

Volume of the rectangular prism=2,592 cubic yards.

Height of the rectangular prism=32 yards

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=2592

32lb=2592

lb=2592/32=81

Base Area= 81 square yards.

<u>Question 2</u>

Volume of the rectangular prism=432 cubic feet.

Height of the rectangular prism=9 feet

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=432

9lb=432

lb=432/9=48

Base Area= 48 square yards.

Any dimension whose product is 48 is a possible choice.

They are:

  • 3 ft long and 16 ft wide
  • 6 ft long and 8 ft wide
  • 24 ft long and 2 ft wide

<u>Question 3</u>

<u />

Volume of the rectangular prism=960 cubic units.

Base Area of the rectangular prism, lb=80 Square Units

Volume of a rectangular prism =lbh (where lb is the Base Area)

Therefore:

lbh=960

80h=960

h=960/80=12

Height= 12 units.

4 0
4 years ago
What's the slope of these two lines ​
maw [93]

Answer:

right angle

Step-by-step explanation:

7 0
3 years ago
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