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2 years ago

In a circle with a 8 in radius, how long, in inches, is an arc associated with 2.6 radians.

1 answer:

7 0

S = r·α is the formula to find the arc length (s), given the radius (r), and angle measure (α) in radians.
If the angle measure is NOT given in radians you must convert to radians.

s = 8 · 2.6
s = 20.8 in

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Robyn, a photographer living in New York City, is framing some of the pictures she took of the city. Each picture is 5 inches by

goblinko [34]

The perimeter of each frame would be 24 inches.
24 x 5 = 120
So the total length around all of the frames would be 120 inches.

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3 years ago

Miles is putting a fence around his garden. The total area of the garden is 4,864 square feet. The length of the garden is 152 f

JulsSmile [24]

Since the area of any thing is length time width, we can divide 4864 by 152 to get the width of the garden. This gives us 32. Now we need to add 152 + 152 + 32 + 32 to get our total feet of fencing necessary. This would give us 368 feet of fencing.

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2 years ago

For the graph below, what should the domain be so that the function is at least 200?

sveta [45]

Y = 2x² + 30x + 200
y = 2(x² + 15x + 100)

x² = x*x
100 ⇒ 1 x 100 ; 2 x 50 ; 4 x 25 ; 5 x 20 ; 10 x 10

200 = 2x² + 30x + 200
0 = 2x² + 30x + 200 - 200
0 = 2x² + 30x + 0
0 = 2(x² + 15x + ?)

<span>−5 ≤ x ≤ 20</span>

7 0

3 years ago

Read 2 more answers

at a small school, one male and one female are selected to represent the student body at the PTSCA meetings. if there are 41 mal

I am Lyosha [343]

It is given that there are 41 males and 48 females in the small school.

So, the number of ways a male student can be chosen from 41 males is $^{41}C_1$

Likewise, the number of ways a female student can be chosen from 48 females is $^{48}C_1$ .

Thus, the total number of ways in which 2-person combinations are possible to represent the student body at the PTSAC meetings will be given by:

$^{41}C_1\times ^{48}C_1=1968$

7 0

2 years ago

Need step by step detailed answer

kolezko [41]

Answer:

y = -4x - 4

Step-by-step explanation:

If we have two lines in slope intercept form as

$y = m_1x + c_1 \text{ and}\\y = m_2x + c_2\\$

then the product of the slopes $m_1m_2 = -1$

In other words, $m_2 = -\frac{1}{m_1}$

We have the first line as

$y = \frac{1}{4}x + 5\\\\$

The slope of this line is $\frac{1}{4}$

The slope of a perpendicular line will be the negative of the reciprocal of this line

Reciprocal of 1/4 is 4

So slope of perpendicular line is -4 which implies

y = -4x + c

We have to determine c

Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c

8 = (-4)(-3) + c

8 = 12 + c

c = -4

So the equation of the perpendicular line is y = -4x - 4 (Answer)

It is always a good idea to plot these graphs and see if they fit the data provided

The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)

4 0

1 year ago