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mixer [17]
3 years ago
8

Mike installed the window shown. How many square feet is the window? Use 3.14 for pi. Round to the nearest tenth.

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer: 3.9ft²

Step-by-step explanation:

Find the area of the rectangle first:

= Length * Width

= 2 * 1.5

= 3 ft²

Find the area of the semi-circle by finding the area of a circle and dividing it by 2:

= πr²

= 3.14 * 1.5/2 * 1.5/2

= 1.76625‬ft²

Divide by 2:

= 1.76625‬/ 2

= 0.88 ft²

Add the area of the rectangle to the semi-circle:

= 3 + 0.88

= 3.9ft²

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I have no idea!! Please help!!!
Ber [7]
The area of a traingle is \frac{1}{2}bh
So we need to know the base and the height
To work out the sides of a right angle triangle we can use a²+b²=c
c is the hypotenuse and a and b are the other sides
Because this triangle is isoceles we know that a and b are the same

a²+b²=c²
a²+a²=c²
2a²=c²
2a²=(x√6)²
2a²=(x√6)(x√6)
2a²=x²+x√6+x√6+6
2a²=x²+x√6+x√6+6
a²=\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}
a=\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}

A=\frac{1}{2}bh
A=\frac{1}{2}a*a
A=\frac{1}{2}×\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}×\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}
A=\frac{1}{2}×\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}
A=\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{4}
8 0
3 years ago
HIGH POINTS AND BRAINLY !!!<br>PLEASE<br>PLEASE HELP <br><br>Horrible at math <br><br>Paper attached
fomenos

Answer:

I have to go so I am not able to write all the answers but you can use the explanation. I tried my best. I hope this helps. Please mark me brainly!

Step-by-step explanation:

To write a perpendicular equation to this one, first, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. I hope this helps. Please mark me brainly!

8 0
3 years ago
Determine the unknown angle measures, to the nearest degree, in the diagram provided.
serg [7]

Answer:

a is <u>5</u><u>3</u><u>.</u><u>8</u><u>°</u><u>,</u> and b is <u>3</u><u>6</u><u>.</u><u>2</u><u>°</u>

Step-by-step explanation:

Using sine trig rule:

{ \boxed{ \bf{ \sin(b) =  \frac{opposite}{hypotenuse}  }}}

{ \tt{ \sin(b) =  \frac{78}{132}  }} \\  \\ { \tt{b =  { \sin }^{ - 1}( \frac{78}{132} ) }} \\  \\ { \tt{b = 36.2 \degree}}

Summation of angles of triangle:

{ \tt{a + b + 90 \degree = 180 \degree}} \\ { \tt{a + 36.2 \degree + 90 \degree = 180 \degree}} \\ { \tt{a = (180 - 36.2 - 90) \degree}} \\ { \tt{a = 53.8 \degree}}

7 0
3 years ago
HELP PLEASE!!!!!! will give brainliest
mamaluj [8]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Complete the statement. Round the nearest hundredth if necessary. <br> 6.5L=. Gal
Paha777 [63]

Answer:1.72Gal

Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72

8 0
2 years ago
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