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3 years ago

Find the area of the sector of the circle with radius 2 meters and central angle 11pi over 6

Mathematics

1 answer:

Natali [406]3 years ago

5 0

$Area=r^2\theta/2$

$A= (2)^2\cdot 11\pi/12=11\pi/3$

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Combine like terms to create an equivalent expression.

Brut [27]

Question..

Combine like terms to create an equivalent expression.

½ −⅙q +⅚q - ⅓

Answer:

½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙

Step-by-step explanation:

Given

½ −⅙q +⅚q - ⅓

Required

Equivalence

½ −⅙q +⅚q - ⅓

We start by collecting like terms.

⅚q - ⅙q + ½ - ⅓

Factorize

(⅚ - ⅙)q + ½ - ⅓

((5 - 1)/6)q + ½ - ⅓

(4/6)q + ½ - ⅓

Reduce 4/6 to lowest term

⅔q + ½ - ⅓

Evaluate fraction

⅔q + (3 - 2)/6

⅔q + ⅙

Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙

7 0

3 years ago

Read 2 more answers

Sarah, Dan & Gavyn share some

gregori [183]

Answer:

$11.25

Step-by-step explanation:

45/4=11.25

5 0

2 years ago

Can someone help.

r-ruslan [8.4K]

Answer:

m∠C = 38° (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

<u>Sine Rule</u> (for angles)

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

where:

A, B and C are the angles
a, b and c are the sides opposite the angles

Given:

A = 53°
a = 18
c = 14

To find m∠C, substitute the given values into the formula and solve for C:

$\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}$

$\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}$

$\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)$

$\implies \sf C= 38.40096301...^{\circ}$

Therefore, m∠C = 38° (nearest whole number).

Learn more about the sine rule here:

brainly.com/question/27089170

brainly.com/question/27704834

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2 years ago

Find the distance between the points given. (0,6) and (5,12)

Elan Coil [88]

$d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}} \\d = \sqrt{(5 - 0)^{2} + (12 - 6)^{2}} \\d = \sqrt{(5)^{2} + (6)^{2}} \\d = \sqrt{25 + 36} \\d = \sqrt{61} \\d = 7.8 \\\\(x - h)^{2} + (y - k)^{2} = r^{2} \\(x - 5)^{2} + (y - 6)^{2} = 7.8^{2} \\(x - 5)^{2} + (y - 6)^{2} = 61 \\(h, k) = (5, 6)$

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3 years ago

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Identify each shape as translation, rotation and reflection

Wewaii [24]

1 reflection, 2 rotation,

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3 years ago