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Gelneren [198K]
3 years ago
14

Rewrite 6 2/3 as an improper fraction

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0
Your answer would be 20/3.
 
look at the fraction 6   2
                                    _
                                    3
Then you take 6*3=18+2 to get 20, then your denominator always stays the same so 20/3. to turn back into improper always do mixed number*denominator+numerator

That's the equation hope I could help! Have a good rest of your night;)
den301095 [7]3 years ago
3 0
6 * 3 = 18 + 2  = 20

improper fraction will be 20/3 

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Two lighthouses are located 60 miles from one another on a north-south line. If a boat is spotted S 21o E from the northern ligh
jasenka [17]

Answer:

(A)The northern lighthouse is 8.2 miles closer than the southern lighthouse.

Step-by-step explanation:

The triangle attached represents the given problem.

First, let us determine the distance of the Boat from each of the lighthouse.

In Triangle ABC,

∠A+∠B+∠C=180 degrees

21+∠B+16=180

∠B=180-37=143 degrees.

Using Law of Sines

\frac{a}{Sin A}=\frac{b}{Sin B}\\\frac{a}{Sin 21^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\a*sin143=60*sin21\\a=60*sin21\div sin143\\a=35.73 miles

Similarly

\frac{c}{Sin C}=\frac{b}{Sin B}\\\frac{c}{Sin 16^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\c*sin143=60*sin16\\c=60*sin16\div sin143\\c=27.48 miles

Difference in Distance =35.73-27.48=8.25 miles

Therefore, the northern lighthouse is 8.2 miles closer than the southern lighthouse.

8 0
4 years ago
Type the equation of a line, given a slope of 4 and a y-intercept of 3.
serious [3.7K]

Answer:

y=4x+3

Step-by-step explanation:

3 0
3 years ago
Find the volume of the cone
aivan3 [116]

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

6 0
3 years ago
Read 2 more answers
Ayuda con esta tarea la imagen esta abajo .
faltersainse [42]

usar este aplicación "photomath"

7 0
3 years ago
If the geometric mean of a and 34 is 6 sqrt(17) find the value of a
Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n), is given by:

G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

  • Two elements(n = 2), a and 34.
  • G = 6\sqrt{17}

Thus:

\sqrt{34a} = 6\sqrt{17}

We find the square of each side, so:

(\sqrt{34a})^2 = (6\sqrt{17})^2

34a = 36\times17

Simplifying both sides by 17:

2a = 36

a = \frac{36}{2}

a = 18

The value of a is 18.

A similar example is given at brainly.com/question/15010240

3 0
3 years ago
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