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irinina [24]
2 years ago
8

SOMEONE PLS HELP

Mathematics
2 answers:
Karolina [17]2 years ago
4 0

Answer:

Arc length formula. Area of a sector of a circle.

...

To calculate arc length without radius, you need the central angle and the sector area:

Multiply the area by 2 and divide the result by the central angle in radians.

Find the square root of this division.

Multiply this root by the central angle again to get the arc length.

Step-by-step explanation:

Try to solve the problem using this guide

Kryger [21]2 years ago
3 0

Answer:

9.42

Step-by-step explanation:

Since the angle shown is 90 degrees we can deduce that the rest of the arc is 270 degrees therefore we can make the fraction:

270/360; 360 being the total angle measurement of a circle

270/360 simplifies to 3/4

The fraction represents how much of the circle that arc covers

Now we have to find the circumference which would be

2(3.14)r

r = 2 therefore: 2(3.14)2 = 12.56

Now that we have the circumference of the WHOLE circle we multiply it by 3/4 to find out the arc length

Which gives us  9.42

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3 years ago
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The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor
harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

Making \left[\begin{array}{ccc}T\\C\\M\end{array}\right] the subject of the formula we have:

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}

Let’s say matrix A = \left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right], the inverse of matrix A = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] is determined by the formula \frac{Adjoint(A)}{determinant(A)}. This can also be computed directly on a scientific calculator.

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

= \left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]

T = 46,500

C = 34,000

M = 15,500

6 0
4 years ago
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chelsea has four hours of free time on saturday. she would like to spend no more than 2/3 of an hour on each activity. how many
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4 / (2/3) =
4 * 3/2 =
12/2 =
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OR

2/3(60) = 120/3 = 40 minutes per activity
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m(slope) = (y2 - y1)/(x2 - x1)

m = (3 - 0)/(0 - -2)

m = 3/2

Now that we have this, we can use a point and slope intercept form to find the intercept.

y = mx + b

0 = (3/2)(-2) + b

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juin [17]

Answer:

The answer is C

Step-by-step explanation:

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