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Inga [223]
3 years ago
10

(EASY)(BRAINLIEST)Which of the four angles marked on the picnic table is obtuse?

Mathematics
2 answers:
Nataly [62]3 years ago
4 0
The angle that is obtuse is 1, because it is greater than 90°.

Hope this helps and have a nice day:)
Readme [11.4K]3 years ago
3 0

Answer:

\angle 1 is an obtuse angle

Step-by-step explanation:

An angle is a figure formed by two sides of a triangle sharing the common vertex.

Basically, in a triangle , an angle refers to a amount of turn by the sides of the triangle around a common vertex.

An acute angle is angle whose measure is less than 90^{\circ} and an obtuse angle is a angle whose measure lies between 90^{\circ} and 180^{\circ}.

A right angle is equal to 90^{\circ}

A straight angle is equal to 180^{\circ}

A complete angle is equal to 360^{\circ}

Here, from the figure we observe that 0^{\circ}\,\,< \,\,\angle 2\,,\,\angle 3\,,\,\angle 4\,\,< 90^{\circ}

So, angles \angle 2\,,\,\angle 3\,,\,\angle 4 are acute angles.

90^{\circ}\,\,< \angle 1\,\,< 180^{\circ}

So, \angle 1 is an obtuse angle.

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Answer:

16 cm^2

Step-by-step explanation:

Given

\triangle CAE -- Bigger Triangle

\triangle CBD -- Smaller Triangle

k = \frac{4}{3} --- Scale factor

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Required

Determine the area of CAE

The area of triangle CBD is:

A_1 = \frac{1}{2}bh

\frac{1}{2}bh = 9

The area of CAE is:

A_2 = \frac{1}{2}BH

Where:

B = \frac{4}{3}b and

H = \frac{4}{3}h

The above values is the dimension of the larger triangle (after dilation).

So, we have:

A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h

A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h

A_2 = \frac{1}{2}*\frac{16}{9}  *b* h

Re-order

A_2 = \frac{16}{9}*\frac{1}{2}* b* h

A_2 = \frac{16}{9}*\frac{1}{2}bh

Recall that:

\frac{1}{2}bh = 9

A_2 = \frac{16}{9}*9

A_2 = 16

Hence, the area is 16 cm^2

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3 years ago
What is the length of the hypotenuse of a right triangle that has sides measuring 12 cm and 35 cm
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On substituting the value we get:

5 = 25 X t

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Therefore, time taken to reach a person located 5m from the source is 0.2s

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