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3 years ago

Divide 4a³ - 14a² + 6a by a - 3

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

Answer:

The answer to the question is

$4a { }^{2} - 2a$

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The figure shows a quarter circle and an equilateral triangle. What is thearea of the shaded part? Give your answer to 3 signifi

ad-work [718]

Explanation

The shaded area represents a segment. This can be solved with the formula below;

$\mleft(\frac{\theta}{360}\mright)\times\pi r^2-\frac{1}{2}r^2sin\theta$

Since the triangle is an equilateral triangle, it implies that the angle subtended at the centre is 60 degrees. Also, the given radius is 7 cm

$\begin{gathered} =7^2(\frac{60}{360}\times3.14-\frac{1}{2}\times\sin 60)^{}_{} \\ =49(\frac{3.14}{6}-\frac{\sqrt[]{3}}{4}) \\ =4.43\operatorname{cm}^2 \end{gathered}$

Answer:

$4..43\operatorname{cm}^2$

7 0

1 year ago

Help me please I’m down baddddd

Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

8 0

3 years ago

Find the equation of the line with slope 7 which goes through the point (-2,-9).

nexus9112 [7]

Answer:

y=7x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=7(x-(-2))

y+9=7(x+2)

y+9=7x+14

y=7x+14-9

y=7x+5

Please mark me as Brainliest if you're satisfied with the answer.

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3 years ago

A regular hexagon is inscribed in a circle as shown determine the measure of FE

Ostrovityanka [42]

The complete question in the attached figure

we know that
1) <span>The triangles that are formed in the hexagon by joining all the vertices with the center of the hexagon are all equilateral and are equal in size
therefore
the radius of the circle is equals to the length side of the regular hexagon
FE=BP--------> FE=6 cm

the answer is
FE=6 cm </span>

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3 years ago

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I will give brainliest to the first one to say (hey)

nirvana33 [79]

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3 years ago

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Divide 4a³ - 14a² + 6a by a - 3​

Divide 4a³ - 14a² + 6a by a - 3