MATHEMATICS MIDDLE SCHOOL

The arc corresponding to a central angle of 125 degrees in a circle of radius 10 feet measures _____ feet. Round your answer to two decimal places.

Answers

Answer 1

Answer:

Answer:

$21.82\ ft$

Step-by-step explanation:

we know that

The circumference of a complete circle is equal to

$C=2\pi r$

In this problem we have

$r=10\ ft$

substitute

$C=2\pi (10)=20 \pi\ ft$

Remember that

An angle of $360\°$ subtends the arc length of a complete circle

by proportion

Find the arc length for an angle of $125\°$

$(20 \pi)/(360)(feet)/(degrees)=(x)/(125)(feet)/(degrees)\n \nx=125*(20\pi )/360\n \nx=21.82\ ft$

Answer 2

Answer: $(Angle)/(360)$ x $2 \pi r$

$(125)/(360)$ x $2 \pi (10)$ = $21.82$

Answer: The Arc measures $21.82 feet$

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only 6 of the 75 trees in the park are at leat 30 feet tall. what percent of the trees are over 30 feet?

Answers

Answer:

8 %

Step-by-step explanation:

To find the percent of trees that are over 30 ft tall, take the number of trees that are over 30 ft tall over the number of tree

Percent = trees over 30 ft tall/ total number of trees

= 6/75

=.08

Change this to a percent by multiply by 100%

.08 * 100%

8 %

-7(3x)+2(3x-2) How do you simplify this and what is the answer.Im stumped

Answers

Answer:

-21x + 6x - 4

Step-by-step explanation:

First, distributive property.

-7(3x) = -21x

2(3x-2) = 6x - 4

Secondly, put those together.

-21x + 6x - 4

And that is your answer because you don't need to find the sum or x.

Can someone explain to me why the answer is 3cos3x (it has something to do with chain rule i think)

Answers

Use the fundamental theorem of calculus. It says that

$\displaystyle(\mathrm d)/(\mathrm dx)\int_{\text{constant}}^(g(x))f(t)\,\mathrm dt=f(g(x))\cdot(\mathrm dg)/(\mathrm dx)$

In this case, $g(x)=3x$ and $f(t)=\cos t$ . Then

$\displaystyle(\mathrm d)/(\mathrm dx)\int_0^(3x)\cos t\,\mathrm dt=\cos(3x)\cdot(\mathrm d)/(\mathrm dx)3x=3\cos3x$

3 times x minus 2/5 =8/5 what is x equal to

Answers

Translating this word problem into an algebraic equation, we get:

3x - 2/5 = 8/5.

Let's combine the constants: adding 2/5 to both sides of this equation yields

3x = 10/5, or 3x = 2.

Solving for x: x = 2/3

Identify the vertex of y = -1 (x-4)^2 +9 and tell whether it’s a minimum or maximumplease and thanks!

Answers

Answer:

maximum at (4, 9)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 1(x - 4)² + 9 is in this form

with vertex = (4, 9)

• If a > 1 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a = - 1 , hence vertex (4, 9) is a maximum

A factory robot recently examined some bulbs, of which 2 were flawed and 14 were not. What is the experimental probability that a given bulb will be flawed?

Answers

Answer:

1/8 or 12.5%

Step-by-step explanation:

2 were flawed and 14 were not, so there's a total of 16 bulbs.

The probability that a bulb will be flawed is 2/16 = 1/8, or 12.5%.

Answer:

1/8

Step-by-step explanation:

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