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Romashka-Z-Leto [24]
3 years ago
11

The diameter of a circle is 14 inches. Find the circumstance and area use 22/7

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:

Circumference= 44 in

Area= 154 in²

Step-by-step explanation:

\boxed{circumference \: of \: circle = 2\pi  r}

Radius

= diameter ÷2

= 14 ÷2

= 7 in

Circumference of circle

= 2( \frac{22}{7} )(7)

= 44 in

\boxed{area \: of \: circle = \pi {r}^{2} }

Area of circle

=  \frac{22}{7} ( {7}^{2} )

= 154 in²

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Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
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Read 2 more answers
What is the perimeter of △ABC?
timofeeve [1]
<h3>Given</h3>
  • ΔABC
  • A(-3, -1), B(0, 3), C(1, 2)
<h3>Find</h3>
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<h3>Solution</h3>

The perimeter of a triangle is the sum of the lengths of its sides. The length of each side can be found using the Pythagorean theorem. Effectively, each pair of points is treated as the end-points of the hypotenuse of a right triangle with legs parallel to the x- and y-axes. The leg lengths are the differences betweeen the x- and y- coordinates of the points.

The difference of the x-coordinates of segment AB are 0-(-3) = 3. The y-coordinate difference is 3-(-1) = 4. So, the leg lengths of the right triangle whose hypotenuse is segment AB are 3 and 4. The Pythagorean theorem tells us

... AB² = 3² +4² = 9 +16 = 25

... AB = √25 = 5

You may recognize this as the 3-4-5 triangle often introduced as one of the first ones you play with when you learn the Pythagorean theorem.

LIkewise, segment AC has coordinate differences of ...

... C - A = (1, 2) -(-3, -1) = (4, 3)

These are the same leg lengths (in the other order) as for segment AB, so its length is also 5.

Segment BC has coordinate differences ...

... C - B = (1, 2) -(0, 3) = (1, -1)

The length of the line segment is figured as the root of the sum of squares, even though one of the coordinate differences is negative. The leg lengths of the right triangle used for finding the length of BC are the absolute value of these differences, or 1 and 1. Then the length BC is

... BC = √(1² +1²) = √2 ≈ 1.4

So the perimeter of the triangle ABC is

... AB + BC + AC = 5 + 1.4 + 5 = 11.4 . . . . perimeter of ∆ABC in units

_____

Please be aware that the advice to "round each step" is <em>bad advice,</em> in general. For real-world math problems, you only round the final result. You always carry at least enough precision in the numbers to ensure that there will not be any error in the final rounding.

In this problem, the only number that is not an integer is √2, so it doesn't really matter.

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What are the factors of 3x2 + 10x + 8?
vivado [14]

Answer: (3x+2)(x+4)

Step-by-step explanation:Explanation:

3x2+10x−8

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3

with −8

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then find two numbers that if we add or subtract we get

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and the numbers are

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and

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then we place those numbers as follow :-

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then we group them

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now take the common factor out.3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

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2 years ago
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