Answer:
<em>B ( 6 , 3 ) </em>
Step-by-step explanation:
(
,
)
(
,
)
Coordinates of midpoint are (
,
)
~~~~~~~~~~~~~~~~~~
A ( - 7 , - 9 )
B ( x , y )
M ( - 0.5 , - 3 )
= - 0.5 ⇒ <em>x = 6</em>
= - 3 ⇒ <em>y = 3</em>
<em>B ( 6 , 3 )</em>
Hexadecimal numerals are widely used by computer system designers and programmers, as they provide a human-friendly representation of binary-coded values. Each hexadecimal digit represents four binary digits, also known as a nibble, which is half a byte.
The answer is <span>$494.55</span>
Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = </span>π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches
So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²
The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²
Since the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
Answer:
70 and 110
Step-by-step explanation:
First angle -- 2x
Second angle -- 3x + 5
Therefore,
2x + 3x + 5 = 180
5x = 175
x = 35
Therefore, 2x -- 70
3x + 5 -------------110
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Answer:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = <u> - (-4) ± √(-4)² - 4(3)-55 </u>
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard