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Evgen [1.6K]
3 years ago
6

Find three positive numbers a, b and c such that 2 times a plus 14 times b plus 16 times c equals 176, and such that the product

of a, b and c is a maximum.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0
33333333333333333333333333
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14. Two parallel lines l and m are intersected by a transversal t. If the interior angles on same side of transversal are (2x−8)
nlexa [21]

Answer:

70° and 110°

Step-by-step explanation:

It is given that, two parallel lines l and m are intersected by a transversal t.

The interior angles on same side of transversal are (2x−8)° and (3x−7)°.

We need to find the measure of these angles.

We know that, the sum of interior angles of the same side of the  transversal is equal to 180°. So,

(2x−8)° + (3x−7)° = 180°

⇒ 5x-15=180°

⇒5x=180°+15

⇒5x=195

⇒x=39

Put x = 39 in (2x−8)°,

(2x−8)° = (2(39)-8)°

=70°

Again put x = 39 in (3x−7)°,

(3x−7)° = (3(39)-7)°

=110°

So, the measure of these angles are 70° and 110°.

8 0
4 years ago
A bricklayer needs to order 6300kg of building sand.
worty [1.4K]

There are 1000 grams in a kg, so 6300x1000=6,300,000 grams

5 0
3 years ago
Which shows the list of numbers in order from least to greatest?
nirvana33 [79]

Answer:

-1, |-2|, |-3|, |3.5|, |3²|

Step-by-step explanation:

  • Calculate the absolute value (the absolute value of any number is always positive): 3, 3², 2 , 3.5, -1
  • Calculate the exponents : 3, 9, 2 , 3.5, -1
  • Put in order least to greatest : -1, |-2|, |-3|, |3.5|, |3²|
3 0
3 years ago
Find the area of the circle below???
olga55 [171]

Answer:

Area of the circle = 24.618\,feet^2

Step-by-step explanation:

Radius of the circle= 2.8\,feet

Area of the circle= \pi \times r^2

As,

      \pi =\dfrac{22}{7} =3.14

Area of the circle is:

                 =3.14\times 2.8 \times 2.8\\\\= 3.14 \times 7.84\\\\=24.618\,feet^2

The Area of the circle is : 24.618\,feet^2

5 0
3 years ago
Read 2 more answers
Solve for x: (4x + 15) = 24
Goshia [24]

Answer:

x=9/4

Step-by-step explanation:

we have:

(4x + 15) = 24

4x=24-15

4x=9

finally: x=9/4

3 0
3 years ago
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