y = 7/6.....................
Area of decagon is given by:
Area=1/2(nsr)
where:
n=number of sides
s=side length
r=height
thus the area will be given by:
Area=1/2(10*4*6.2)
Area=124 cm^2
Answer:
(-2,8)
Step-by-step explanation:
8x + 9y=56
-9x + y = 26
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-9x + y = 26
+9x = +9x
y = 9x + 26
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8x + 9(9x+26) = 56 <-- substitute for y from above
8x + 81x + 234 = 56
89x + 234 = 56
- 234 = - 234
89x = - 178
x = -2 <--- we got the x value!!
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-9x + y = 26
-9 (-2) + y = 26 <-- substitute for x from above
18 + y = 26
- 18 = - 18
y = 8 <-- we got the y value!!
For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.
To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.
GH measures 18.879 units. Rounding this off, we get 18.9 units.
Step 2:
Assume the side HI measures y units. According to Pythagoras' theorem,
So HI measures 23.314 units. Rounding this off, we get 23.3 units.
Step 3:
GHI is a triangle and all triangles have a total angle of 180°.
So ∠G° measures 51°.
Answer:
29.7cm²
Step-by-step explanation:
The area of the shaded region = area of rectangle - area of circle
Area of rectangle:
A=lw
=7*5
=35cm²
Diameter of circle is 2.6cm. Radius is half diameter: 2.6/2=1.3cm
Area of circle:
A=πr²
=(3.14)(1.3²)
=5.3066cm²
35 - 5.3066 = 29.6934cm²
