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Flura [38]
3 years ago
6

HELP. TODD.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
8 0
First, we figure out the area of the wall, which is shaped like a trapezoid. The equation for the area of a trapezoid is 
\frac{1}{2} (a+b)h
where a is the top base, b is the bottom base and h is the height.
Substitute your given values into the equation and solve:
A=1/2(12+15)9
A=4.5(27)
Area of the wall= 121.5ft²

Now we figure out the area of the of the circular window. The formula for the area of a circle is 
\pi  r^{2}
where r is the radius
Substitute your given values into the equation and solve:
pi×3²
9 \pi =28.27433388 ft^{2}

Now finally minus the area of the window from the area of the wall.
121.5-28.27433388=93.22566612
To 1 d.p., the area of the wall without the window is 93.2ft²

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ZC is opposite<br> с<br> ОА. до<br> ов. Вс<br> ос. AB<br> O D. AC and BC<br> OE. ZA<br> ООО<br> OF C
Brrunno [24]

Answer:

C.

Step-by-step explanation:

angle C is opposite to side/line AB

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3 years ago
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find the equation of the perpendicular bisector of segment ab with endpoints a=2,2 and b=-4,6 if the perpendicular bisector inte
aleksklad [387]

Equation of perpendicular bisector is ,  y=\frac{3}{2} x+\frac{11}{2}

Length of both pa and pb are  \sqrt{\frac{65}{4} }  unit.

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So, slope of perpendicular bisector will be, negative of reciprocal of slope of segment ab.

Therefore, slope of perpendicular bisector is,  \frac{3}{2}

Since, perpendicular bisector passes through the mid point of segment ab.

So, coordinate of mid point of segment ab is,

                                             (\frac{2-4}{2},\frac{2+6}{2}  )=(-1,4)

Thus, perpendicular bisector of ab passing through (- 1, 4) and have slope  3/2.

So, equation of angle bisector is,

                                     y=\frac{3}{2} x+\frac{11}{2}

Since, the perpendicular bisector intersects the y-axis at point p

So, coordinate of point p is (0, 11/2)

By applying distance formula,

pa=\sqrt{(2-0)^{2}+(2-11/2)^{2}  }\\\\ =\sqrt{4+\frac{49}{4} }\\\\ =\sqrt{\frac{65}{4} }

pb=\sqrt{(-4-0)^{2}+(6-11/2)^{2}  }\\\\ =\sqrt{16+\frac{1}{4} }\\\\ =\sqrt{\frac{65}{4} }

Learn more,

https://brainly.in/question/31510165

8 0
3 years ago
A group of students was asked, "How many hours did you watch television last week?" Here are their responses:
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