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BigorU [14]
3 years ago
5

Determine the length (to 1 decimal place) of the arc that subtends an angle of 2.8 radians at the centre of a circle with radius

12 cm.
13.3 cm

33.6 cm

148.0 cm

16.8 cm
Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

33.6 cm

Step-by-step explanation:

We can use the formula for arc length to solve this.

s=r\theta

Where

s is the arc length

r is the radius

\theta is the angle subtended by the arc (in radians)

<u />

<u>The problem gives us theta = 2.8 radians and radius of the circle as 12 cm. We plug these into the formula and figure out the arc length (to 1 decimal place):</u>

s=r\theta\\s=(12)(2.8)\\s=33.6

2nd answer choice is right.

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the equation of line cd is y = 3x − 3. write an equation of a line perpendicular to line cd in slope-intercept form that contain
liberstina [14]

Answer:

The required equation is y=-\frac{1}{3}x+2.

Step-by-step explanation:

The equation of line cd is

y=3x-3

Slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Slope of line cd is 3.

The product of slopes of two perpendicular lines is -1.

m_1\times m_2=-1

3\times m_2=-1

m_2=-\frac{1}{3}

Therefore slope of perpendicular line is -\frac{1}{3}.

Point slope form of a line is

y-y_1=m(x-x_1)

Slope of perpendicular line is -\frac{1}{3} and line passing through the point (3,1).

y-1=-\frac{1}{3}(x-3)

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

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

Therefore the required equation is y=-\frac{1}{3}x+2.

4 0
3 years ago
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How does estimating an addition or subtraction problem help you know if an answer is reasonable?
kiruha [24]

Answer:

It helps you know if the answer is reasonable because when you do the work and get your answer, you can check if it is close to your estimate, and if it is, it is most likely correct. On the other hand if it is not close to the estimate it is most likely wrong, unless you estimated incorrectly.

Step-by-step explanation:

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3 years ago
A forester planted 3 acres in seedlings the first day, 5 acres the second day, and
Yanka [14]

Answer:

9 acres remain

Step-by-step explanation:

First day:

3 acres

Second day:

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Third day:

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I hope this helped! :)

6 0
3 years ago
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steposvetlana [31]

Answer:

C and E

Step-by-step explanation:

A polynomial is a function where the only operation is an exponent on the variable. It can have just one term or many terms. For example, x^2 is a polynomial but x^2 / x+3 is not since it also contains division. This is a rational. Using this definition then only C and E are polynomials.

Choice A has a rational term. This is not polynomial.

Choice B has an exponent of -2 which is actually division. This is rational and not polynomial.

Choice D has a radical term with the variable. This is not polynomial.

7 0
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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed th
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\tan(51^o 33')=  \frac{200}{base1}
<span>
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the distance travelled = 596.008 - 158.802 = 438 m</span>

8 0
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