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tresset_1 [31]
3 years ago
10

What is the length of an arc with a central angle of 43? radians and a radius of 42 cm? use 3.14 for pi. round to the nearest hu

ndredth, if necessary. enter your answer as a decimal in the box. cm?
Mathematics
1 answer:
uysha [10]3 years ago
4 0
L=R*angle, but the angle *must* be in radians. So, just translate 43 degrees into radians: 43 * pi / 180, and you'll get:

L = 42 * ( 43 * pi / 180 ) ~ 31.504666, which rounded to the nearest hundredth is 31.50 cm.
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Is the m in mx+b=y the growth
Shalnov [3]

The "m" in y = mx + b is the <u>slope.</u>

It is the number of units a point goes up, down, left, or right each time. Making the line linear/straight.

m = \frac{rise}{run}

"rise" is the the number of units you go up(+) or down(-), "run" is the number of units you go to the right


For example, if your slope is:

\frac{1}{2}

You are going up 1 unit, and to the right 2 units


3 or \frac{3}{1}

You are going up 3 units, and to the right 1 unit


-\frac{1}{2}

You are going down one unit, and to the right 2 units


-3 or -\frac{3}{1}

You are going down 3 units, and to the right 1 unit

4 0
3 years ago
Read 2 more answers
A recent national survey indicated that 73 percent of respondents try to include locally grown foods in their diets. A 95 percen
lilavasa [31]

Answer:

Correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

Step-by-step explanation:

A hypothesis for the proportion of people who include locally grown foods in their diets can be defined as:

<em>H₀</em>: The proportion of people who include locally grown foods in their diets is <em>p</em>.

<em>Hₐ</em>: The proportion of people who include locally grown foods in their diets is difference from <em>p</em>.

The decision rule can be based on the 95% confidence interval.

If the confidence interval consists the hypothetical value of the true proportion then the null hypothesis will be accepted or else the null hypothesis will be rejected.

The 95% confidence interval for the proportion of all people in the country who try to include locally grown foods in their diets is given as (0.70, 0.76).

This interval implies that there is 0.95 probability that the true proportion of people who include locally grown foods in their diets is between 70% and 76%.

Assuming that the claim made was supported by the 95% confidence interval.

The claim should be:

Less than 75% of all people in the country try to include locally grown foods in their diets.

Because the 95% confidence interval defines the range of the true proportion as 70% to 76%. Most of the values are below 75%.

Thus, the correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

3 0
3 years ago
Read 2 more answers
What is the volume of this figure?
Sav [38]

Answer:

90 cubic inches

Step-by-step explanation:

4 0
4 years ago
Is the ordered pair
FrozenT [24]

Answer:

no, because for x=-3, y would have to be -31

Step-by-step explanation:

boy oh boy (or girl oh girl) - you wrote this in a horrible, horrible format.

I can only guess what your problem and the fitting answer would be.

y = -2×x^2 + 3×x - 4

-4 = -2×(-3)^2 + 3×(-3) - 4

-4 = -2×9 - 9 - 4

-4 = -18 - 9 - 4

-4 = -31

and that is wrong. for (-3,-4) to be on the graph of the function, y would have to be -4 when using x=-3 in the function. but y = -31 for x= -3.

8 0
3 years ago
Could someone explain this to me
Bond [772]

Answer:

Step-by-step explanation:

The question is asking you to graph the equations.

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M is the slope and b is the y-intercept

First draw the y & x axis and label/number them

The y-intercept for the first equation is -1 so draw a dot on the -1 on the y-axis

The slope is 2/5 and you use rise/run to continue the slope.

you rise 2 on the y-axis and go right 5 times on the x-axis (for a negative number you go left/down)

For the second equation, you have to turn it into slope intercept form.

You should get y=2/3x+3

You graph this equation the same as you did the first one.

8 0
3 years ago
Read 2 more answers
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