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blsea [12.9K]
2 years ago
14

What is the measure of arc BC?

Mathematics
2 answers:
Nostrana [21]2 years ago
8 0

Answer:

Step-by-step explanation:

The inscibed angle E is 1/2 the measure of the central angle P so P is 100 degrees, and arc BC is also 100 degrees.

Artist 52 [7]2 years ago
5 0

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BEC, so is ...

  arc BC = 2×50°

  arc BC = 100°

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I got most of them but I need help on those 3
Vadim26 [7]
Using Pythagoras:-

x^2  = 6^2 + (sqrt18)^2
       = 36 + 18 = 54

x = sqrt54  =  3 sqrt6
3 0
3 years ago
In which expression is the coefficient of the n term -1?
gulaghasi [49]

Answer: c ???????????????????

Step-by-step explanation:

6 0
2 years ago
A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes
Alenkinab [10]

The relationship between the sides MN, MS, and MQ in the given regular heptagon is \dfrac{1}{MN} = \dfrac{1}{MS} + \dfrac{1}{MQ}

The area to be planted with flowers is approximately <u>923.558 m²</u>

The reason the above value is correct is as follows;

The known parameters of the garden are;

The radius of the circle that circumscribes the heptagon, r = 25 m

The area left for the children playground = ΔMSQ

Required;

The area of the garden planted with flowers

Solution:

The area of an heptagon, is;

A = \dfrac{7}{4} \cdot a^2 \cdot  cot \left (\dfrac{180 ^{\circ}}{7} \right )

The interior angle of an heptagon = 128.571°

The length of a side, S, is given as follows;

\dfrac{s}{sin(180 - 128.571)} = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)}

s = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)} \times sin(180 - 128.571) \approx 21.69

The \ apothem \ a = 25 \times sin \left ( \dfrac{128.571}{2} \right) \approx 22.52

The area of the heptagon MNSRQPO is therefore;

A = \dfrac{7}{4} \times 22.52^2 \times cot \left (\dfrac{180 ^{\circ}}{7} \right ) \approx 1,842.94

MS = \sqrt{(21.69^2 + 21.69^2 - 2 \times  21.69 \times21.69\times cos(128.571^{\circ})) \approx 43.08

By sine rule, we have

\dfrac{21.69}{sin(\angle NSM)} = \dfrac{43.08}{sin(128.571 ^{\circ})}

sin(\angle NSM) =\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ})

\angle NSM = arcsin \left(\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ}) \right) \approx 23.18^{\circ}

∠MSQ = 128.571 - 2*23.18 = 82.211

The area of triangle, MSQ, is given as follows;

Area \ of \Delta MSQ = \dfrac{1}{2}  \times  43.08^2 \times sin(82.211^{\circ}) \approx 919.382^{\circ}

The area of the of the garden plated with flowers, A_{req}, is given as follows;

A_{req} = Area of heptagon MNSRQPO - Area of triangle ΔMSQ

Therefore;

A_{req}= 1,842.94 - 919.382 ≈ 923.558

The area of the of the garden plated with flowers, A_{req} ≈ <u>923.558 m²</u>

Learn more about figures circumscribed by a circle here:

brainly.com/question/16478185

6 0
3 years ago
Shane has 1/2 pound of cheese to make 4 sandwiches. He wants to use the same amount of cheese in each sandwich. What fraction of
anastassius [24]

Answer:

The fraction of one pound of cheese to be used in each sandwich is 1/8

Step-by-step explanation:

Here, we have a question that requires the method of dealing with the division of fractions.

To divide a fraction by a whole number, we multiply the denominator of the fraction by the whole number as follows;

\frac{x}{y} \div z =\frac{x}{y\times z}

Quantity of cheese Shane has = 1/2 pound

Number of sandwiches to be made = 4

Amount of cheese per sandwich = 1/2÷4 = 1/8.

6 0
3 years ago
Evaluate the expression solve for y = 1<br><br> -11.8 + 33.4y
gladu [14]
-11.8 + 33.4y
First turn y into 1
-11.8 + 33.4 (1)
Multiply 1 by 33.4
-11.8 + 33.4
Then add
21.6
Hope this helps!!
3 0
3 years ago
Read 2 more answers
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