What is the area of an acute angle

Mathematics

2 answers:

snow_lady [41]2 years ago

7 0

The acute angle inside the triangle is 57 degrees. The one labeled “1” is 123 degrees.

Mila [183]2 years ago

3 0

Answer:

123

Step-by-step explanation:

The interior angles of a triangle add up to 180.

So...

60 + 63 = 123

180 - 123 = 57

Then, since angle 1 is complementary to the angle that measures 57, we subtract it from 180.

180 - 57 = 123.

Angle 1 is 123.

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2 years ago

A builder is using a blueprint that has a scale factor of 3 cm to 4 meters. If the length of the blue print measures 81 cm, how

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bazaltina [42]

Answer:

8)2.86 cm^2

9) 100.48 m^2

10) 23.08 in^2

Step-by-step explanation:

8) In the figure , there's a right angled triangle in which a circle of radius 1 cm is inscribed in that triangle.

Area of the right angled triangle =

$\frac{1}{2} \times 4 \times 3 = 6 \: {cm}^{2}$

Area of the circle =

$\pi {r}^{2} = \pi {(1)}^{2} = \frac{22}{7} = 3.14 \: {cm}^{2}$

Area of the shaded portion ( although itz not shaded..... i mean remaining portion ) = 6 - 3.14 =2.86cm^2

9) In this figure there's a circle in which more 2 circles are inscribed in such a way that the center of the bigger circle is in the circumferences of both the circles.

Area of the bigger circle =

$\frac{\pi {d}^{2} }{4} = \frac{\pi \times 16 \times 16}{4} = 64\pi \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 200.96 {m}^{2}$

The small circles have equal diameter ( i.e. 8m) . So , Area of the small circles =

$2( \frac{\pi {d}^{2} }{4} ) = 2( \frac{\pi \times {8}^{2} }{4} ) = 32\pi \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 100.48 \: {m}^{2}$