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babymother [125]
3 years ago
13

The angle turns through 1/6 of the circle. What is the measure of the

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

60

Step-by-step explanation:

A circle is 360 degrees.  If we rotate through 1/6 of the circle

360 *1/6 = 60

We rotate through 60 degrees

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Solve the equation using the quadratic formula : x^2-10x+25=18
Sever21 [200]
x^2-10x+25=18 \\ \\x^2-10x+25-18 = 0\\ \\ x^2-10x+ 7 =0 \\ \\a=1 , b = -10 , c= 7 \\ \\ \Delta = b^{2}-4ac = (-10)^{2}-4*1*7=100-28 = 72 \\ \\\sqrt{\Delta }=\sqrt{72}= \sqrt{2*36} =\sqrt{36}*\sqrt{2} =6\sqrt{2}

x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{10- 6\sqrt{2}}{2}=\frac{2(5-3\sqrt{2})}{2}= 5-3\sqrt{2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{10+ 6\sqrt{2}}{2}=\frac{2(5+3\sqrt{2})}{2}= 5+3\sqrt{2}


Answer : \ x= 5-3\sqrt{2} \ \ or \ \ x = 5+3\sqrt{2}


8 0
3 years ago
Please help thank you very much
Tom [10]

Answer:

4x^{2} -6x

Step-by-step explanation:

3 0
3 years ago
Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 109 feet, and ball 2 is droppe
Natalija [7]

Answer:  5.22 seconds

<u>Step-by-step explanation:</u>

t represents time and y represents the height.

Since we want to know when the ball hits the ground, find t when y = 0

Ball 1 starts at a height of 109 --> h = 109

0 = -16t² + 109

16t² = 109

   t^2=\dfrac{109}{16}\\

   t=\sqrt{\dfrac{109}{16}}

   t=\dfrac{\sqrt{109}}{2}

   t = 5.22

4 0
3 years ago
Read 2 more answers
What's the circumference of a circle with a diameter of 30 cm
Bingel [31]
C=<span>πd
C=</span><span>π*30
C=30</span>π<span>≈94.25 cm</span>
7 0
2 years ago
Read 2 more answers
What is the equation of the line below?
Licemer1 [7]

Answer:

y = -\frac{2}{3}x + 1

Step-by-step explanation:

The equation of the line shown can be expressed in the slope-intercept formula as y = mx + b

Let's find m = slope, and b = y-intercept.

Using two points on the line, (0, 1) and (1½, 0),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{\frac{3}{2} - 0} = \frac{-1}{\frac{3}{2}} = - \frac{2}{3}

y-intercept, b is where the line intercepts the y-axis = 1.

To create an equation for the line, substitute m = -⅔, b = 1 in y = mx + b.

✅The equation would be:

y = -\frac{2}{3}x + 1

4 0
2 years ago
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