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jasenka [17]
3 years ago
15

Someone answer this Please

Mathematics
2 answers:
Masja [62]3 years ago
7 0

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that a^2+b^2=c^2 where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into a^2+b^2=c^2 as a and b.

a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2

Take the square root of both sides

15=c

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Ainat [17]3 years ago
4 0

The given triangle is a <em><u>Right angled triangle</u></em>,

So, by applying <em><u>Pythagoras theorem</u></em><em><u> </u></em><em><u>:</u></em>

{c}^{2}  =  {12}^{2}  + 9 {}^{2}

=》

{c}^{2}  = 144 + 81

=》

{c}^{2}  = 225

=》

{c} =  \sqrt{225}

=》

c = 15

hence, value of c = 15 mi

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7.8 billion pounds of candy per year how much per month per person with 303 million people
likoan [24]
7.8 billion/12 is how much per month:
7,800,000,000/12 = 650,000,000 candy per month.


To find out per person, divide the total amount of candies by the months in a year, then divide that amount to the population.
7,800,000,000/12 = 650,000,000
650,000,000/303,000,000 = 2.14 (Round down) = 2

Answers:
Per month: 650,000,000 candies
Per person: 2 candies
8 0
4 years ago
Mrs. Smith cuts 1 2 of a piece of construction paper. She uses 1 6 of the piece to make a flower. What fraction of the sheet of
Irina18 [472]

Answer:

1/12  fraction of the sheet of paper is used to  to make the flower

Step-by-step explanation:

The size of the piece of paper cut from the construction paper = 1/2

Amount of paper used from this piece to make flower = 1/6

Total amount of construction paper used = 1/2 * 1/6

= 1/12

4 0
3 years ago
How many liters of water must be added to 15 liters of 40 % sugar syrup to obtain 30 % sugar syrup?
faltersainse [42]

5 liters of water must be added.

Step-by-step explanation:

In this question form and equate equations for the amount of sugar in both syrups which does not change.

Let the amount of water to be added to 15 liters of 40% sugar syrup to be w liters

The 40% sugar syrup will contain  15 liters of 40% sugar syrup. This means that the amount of sugar contained in the syrup is 15 *0.4 = 6 liters......(i)

So for a 30% sugar syrup, the amount of syrup is =15 +w *L , thus amount of sugar in this syrup will be : (15+w)0.3*L--------(ii)

Because only water was added, the amount of sugar remains the same hence equate the equations for amount of sugar;

0.3(15+w)=6

solve for value of w as

4.5+0.3 w =6

0.3 w = 6-4.5

0.3 w = 1.5

w= 1.5/0.3 = 5 liters

Learn More

Mixtures :brainly.com/question/14587611

Keywords : liters, water , added, sugar syrup

#LearnwithBrainly

4 0
3 years ago
Abraham lincoln declared thanksgiving a holiday in 1863 what is the prime factorization of 1863​
kogti [31]

3 x 3 x 3 x 3 x 23 = 1,863. It can also be written in exponential form as 3 to the power of four times 23.

3 0
3 years ago
Read 2 more answers
Find &lt;ABC =2x and &lt;CBD=3x-10​
Romashka-Z-Leto [24]

Answer:

x = 20

Step-by-step explanation:

m<ABC and m<CBA are complementary angles which means their sum is 90 degrees:

2x + 3x - 10 = 90 add like terms

5x - 10 = 90 add 10 to both sides

5x = 100 divide both sides by 5

x = 20 to find the angles replace x with 20

m<ABC = 40 and

m<CBA = 50

3 0
3 years ago
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