Find the measure of angle BAC. (The figure is not drawn to scale.)
A. 22
B. 34
C. 68
D. 136
Answers
If angle BOC in circle is 68° then the measure of angle BAC is 34°.
Given that angle BOC in the circle is 68°.
We have to find the angle BAC.
We have that m∠BOC=arc BC ------by central angle.
we have m∠BOC=68°.
therefore arc BC=68°.
We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1
In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.
We have that arc BC=68°
substitute arc BC in equation 1 to get the measurement of ∠BAC.
m∠BAC=[tex]68/2[/tex]
=34°
Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Option D
Step-by-step explanation:
→ Simplify the option
3 × 3 × 2 × 2 = 36
→ Simplify the other part
3 × 2 × 2 = 12
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Answer:
Step-by-step explanation:
1). Given equation is,
2x² - 3x = 6
2x² - 3x - 6 = 0
To find the solutions of the equation we will use quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values of a, b and c in the formula,
a = 2, b = -3 and c = -6
x = [tex]\frac{3\pm\sqrt{(-3)^2-4(2)(-6)}}{2(2)}[/tex]
x = [tex]\frac{3\pm\sqrt{9+48}}{4}[/tex]
x = [tex]\frac{3\pm\sqrt{57}}{4}[/tex]
x = [tex]\frac{3+\sqrt{57}}{4},\frac{3-\sqrt{57}}{4}[/tex]
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2). Given equation is,
x² + 1 = 2x
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(x - 1)² = 0
x = 1
Therefore, there is one real solution of the equation.
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By applying quadratic formula,
x = [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
x = [tex]\frac{-3\pm\sqrt{3^2-4(2)(2)}}{2(2)}[/tex]
x = [tex]\frac{-3\pm\sqrt{9-16}}{4}[/tex]
x = [tex]\frac{-3\pm i\sqrt{7}}{4}[/tex]
x = [tex]\frac{-3+ i\sqrt{7}}{4},\frac{-3- i\sqrt{7}}{4}[/tex]
Therefore, there are two complex (non real) solutions.
The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?
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a circle graph
a histogram
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Answers
Answer:
Question?
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
(a)
She has 79ft of fence = the perimeter will be 79.
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79 = 2(21)+2(width)
2(width) = 79 - 42
width = 37/2
width = 18.5ft
(b)
Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²
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Answers
Answer:
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And the other number be 6x
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x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
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Answer:
Step-by-step explanation:
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Answer:
x=-7,-3
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Answer:
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Answers
Answer:
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Answers
Answer:
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Answer:
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