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den301095 [7]
3 years ago
8

Please help me if you can. please show how you got the answer.

Mathematics
1 answer:
fomenos3 years ago
5 0

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

\frac{x}{4.5}=\frac{15.3+7.4}{7.4} which simplifies a bit to

\frac{x}{4.5}=\frac{22.7}{7.4} and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

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Answer:

  C.  √((5-9)² +(1+6)²)

Step-by-step explanation:

The distance formula can be written ...

  d = √((x1 -x2)² +(y1 -y2)²)

Filling in the given point coordinates, this becomes ...

  d = √((5 -9)² +(1 -(-6))²)

Simplifying the signs, this becomes ...

  d = √((5 -9)² +(1 +6)²) . . . . . matches choice C

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3 years ago
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What is the equation of 35?​
Dominik [7]

35 - X = 5

Simplifying

35 + -1X = 5

Solving

35 + -1X = 5

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-35' to each side of the equation.

35 + -35 + -1X = 5 + -35

Combine like terms: 35 + -35 = 0

0 + -1X = 5 + -35

-1X = 5 + -35

Combine like terms: 5 + -35 = -30

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Divide each side by '-1'.

X = 30

Simplifying

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3 years ago
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