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HACTEHA [7]
3 years ago
11

There will be a circular patio with a diameter of 7 metres.   greg is going to put a tiled edge around the patio. what is the ci

rcumference of the patio? m circumference of a circle = 2πr use π = 3.14
Mathematics
2 answers:
Paladinen [302]3 years ago
6 0
If diameter is7, the radius is 3.5m
so c=2πr
       =2×3.14×3.5
       =21.98m
KIM [24]3 years ago
4 0

Answer:  The circumference of the patio is 21.98 meters.

Step-by-step explanation:  Given that there is a circular patio with a diameter of 7 meters. Greg is going to put a titled edge around the patio.

We are to find the circumference of the patio.

If 'r' units is the radius of a circle, then the circumference of the circle is given by

C=2\pi r.

Since the diameter of the circular patio is 7 meters, so the radius 'r' will be given by

\textup{radius}=\dfrac{1}{2}\textup{ of the diameter}\\\\\Rightarrow r=\dfrac{1}{2}\times 7\\\\\Rightarrow r=3.5~\textup{meters.}

Therefore, the circumference of the patio is given by

C=2\pi r=2\times 3.14\times 3.5=21.98~\textup{meters}.

Thus, the circumference of the patio is 21.98 meters.

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Find the angel x in d diagram above with a well structured solution.<br><br>Thanks​
Tom [10]

Step-by-step answer:

Please refer to attached image.

1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning

  that

  angles QPS and QRS are supplementary =>

  QPS+QRS=180   =>

  QRS = 180 - 74 = 106

2. Triangle RSQ is isosceles with RS=RQ =>

   angles RSQ and RQS are congruent.

3. Angle RSQ = (180 - 106) /2 = 74 / 2  = 37

4. QP is a diameter => angle QSP is a right-angle.

5. From (3) and (4) above,

  angle RSP = 37+90 = 127

6. Since PQRS is cyclic, angles RQP  and RSP are supplementary =>

   RQP+RSP = 180   =>

   x + 127 = 180   =>

   x = 180 - 127 = 53 degrees.

5 0
3 years ago
Find the measure of the three missing angles in the parallelogram below.
elixir [45]

Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees

Step-by-step explanation:

Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.

Opposite angles of a paralellogram are equal.

Therefore, x = y = 77 degrees and z = 103 degrees

4 0
2 years ago
Read 2 more answers
a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?
lisabon 2012 [21]

Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!

8 0
3 years ago
Find the midpoint of the line segment joining the points (7,1) and (-1,-1)
chubhunter [2.5K]
= x1 + x2/2 , y1 + y2/2
= 7+-1/2 , 1+(-1)/2
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6 0
2 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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