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Alex17521 [72]
3 years ago
6

Aplicanso o teorema de pitagoras, determine a medida x indicada em cada um dos triângulos retângulos

Mathematics
1 answer:
Alina [70]3 years ago
7 0
Applying or Pythagorean theorem, as determined by x indicated em um dos retângulos each Triangles. What do u mean
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Find the exact or approximate area of the shaded region
Lana71 [14]

Answer: 18.24 cm^2

Step-by-step explanation:

the two 135 degree angles indicate that the third angle (the one with the shaded region) is 90 degrees, which means that the shaded region is within 1/4 of the circle.

1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12

[r^2(3.14)]/4      pi is substituted by 3.14, and the radius is 8.

50.24 is the area of 1/4 of the circle.

2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.

the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two

this means the triangle is 32 cm^2

3. we can subtract the 1/4 circle (50.24) by the area of the triangle (32) to get the area of the shaded region, which is <u>18.24 cm^2</u>

7 0
3 years ago
The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?
Ksivusya [100]

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is (x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}

Here, m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6

On substituting the values in the formula we get

(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}

\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}

\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}

\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}

\Rightarrow (x,y)=(-1,4)

Therefore, option 2 is correct that is (-1,4)

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3 years ago
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