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jek_recluse [69]
3 years ago
8

What is 3 2/9×7/3 and plz be really specific for the product

Mathematics
1 answer:
prohojiy [21]3 years ago
8 0
First we need to convert the mixed umber to an improper fraction...

3 2/9

Multiply the denominator by the whole number the. add the numerator the. put that over the original denominator.

9×3 = 27 + 2 = 29/9

now we can multiply the two fractions... numerator × numerator and denominator × denominator.

29/9 × 7/3 = 203/27

reduce the fraction to 7 14/27
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
She can make 4 basketballs in 1/2 hours.how many in 5 hours?
svetoff [14.1K]

Answer: 40

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the missing constant term in the perfect square that starts with x2 – 16x?
andre [41]

Answer:

64

Step-by-step explanation:

the expression is

x² - 16x + _

the constant term is the square of the number residing with x divided by 2

the number number x = 16

therefore the constant term is (16/ 2)²

= 8²

= 64

the formula being used here is

(x + a)² = x² + 2ax + a²

4 0
3 years ago
Abby has a jewelry business. She uses small square boxes to ship her homemade rings to stores to sell. The ring box measures 12
aleksandr82 [10.1K]

Answer:

Volume of Shipping box= lenghth × breadth × height

Volume of ring box= side × side × side

Step-by-step explanation:

Volume of ring box = 12×12×12

=1728 units

Volume of shipping box= 1012×8×3

=24288 units

number of ring boxes in shipping box= 24288/1728

= 14.

Hope am correct

Thanks

3 0
3 years ago
Andre and Elena are reading the same book over the 1 summer. Andre says he has read of the book. Elena ! says she has read 20 mo
ddd [48]

Answer: There are 175 pages in the book.

Step-by-step explanation:

If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:

55-20= the pages Andre read

55-20=35

Andre read 35 pages.

If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)

35 x 5= 175

There are 175 pages in the book.

7 0
2 years ago
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