An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.

Answers

Answer 1

Answer: Given:
Arc length = 8 inches
radius = 3 inches
find the measure of the central angle.

Arc length = radius * central angle
central angle = arc length / radius
central angle = 8 inches / 3 inches
central angle = 2.667 (radian)

Central angle in degrees = 152.88°

Circumference of the circle = 2 * 3.14 * 3 inches = 18.84 inches
1 circle = 360° / 18.84 inches = 19.11° per inch
19.11° per inches * 8 inches of arc length = 152.88°

Answer 2

Answer:

The answer is 2.7 radians. C on edgunity

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(3x-8)(2xsquared4x-9) multiply and write the result in descending order

Answers

Hello there, you can proceed with the multiplication of these factors using the FOIL method (which stands for first, outer, inner and last) multiply I assume that by descending order, you mean by decreasing power. If it were so, the answer is 6(x^3)12(x^2)-16(x^2)32x-27x+72.

Which is the best estimate for the quotient of 312.21 59.113?a. 5,000
b. 50
c. 5
d. 0.5

Answers

Answer=C

The first step in estimating is to round the numbers into simpler numbers so that we can easily do the math in our head...

312.21 becomes 300

59.113 becomes 60

300÷60=5

Answer=C

Answer=C

312.21 would be 300

59.113 would be 60

300÷60=5
Im pretty sure that is right IDK im in Middle School

a line passes through the origin and has a slope of –3. what is the equation of the line that is perpendicular to the first line and passes through the point (3, 4)?

Answers

The slope is:
y=1/3x+3

Suppose an infection spreads according to the following data.What type of regression line is the best fit for this data?
A) linear
B) power
C) exponential
D) linear and exponential

Answers

Answer-

Exponential regression line is the best fit for the data.

Solution-

Taking

x = input variable,

y = output variable.

Taking the data from the table, regression models were generated using Excel.

As shown in the attachments, the co-efficient of determination (R²) is maximum for Exponential Regression model or more closer to 1.

As,

$0.904<0.957<0.974$

$R^2_{\text{Linear}}<R^2_{\text{Power}}<R^2_{\text{Exponential}}$

The more closer the value of R² to 1, the better the regression model and the best fit line is.

In general also, when we consider growth or decay, we follow the exponential function approach.

Therefore, the exponential regression models should be followed and so exponential regression line is the best fit for the data.

This is exponential and linear. Hope this helps!

Which of these professionals most directly uses geometry? Choose the best answer.

Answers

A carpenter because they have to find the length and more which takes a very long time trust me

For masters on Algebra : Evaluating functions: w(n) = 4n+2;Find w(3n) Once solved could i get a brief explanation please? I got 2 different numbers for it.

Answers

$w(n)=4n+2\n\nw(3n)-subtitute\ 3n\to n\n\nw(3n)=4\cdot3n+2=12n+2$

w(3n)=12n+6
Its 3n so 3x the original one
(not sure; is it supposed to be a specific number)

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