ASAP PLEASE! A windshield wiper blade turns through an angle of 135 degrees. The bottom of the blade traces an arc with a 9-inch radius. The top of the blade traces an arc with a 23-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? HELP

Answers

Answer 1

Answer:

33 inches to the nearest inch.

Step-by-step explanation:

Length of an arc = rC where r = the radius and C is the angle through which it turns in radians.

So for the 23 inch radius: length = 23 * 135 * π / 180

and for the 9 inch radius: length = 9 * 135 * π / 180

The difference =  23 * 135 * π / 180 - 9 * 135 * π / 180

= 14 * 135 * π / 180

=  32.99 inches.

Answer 2

The nearest inch, the top arc is approximately 33 inches longer than the bottom arc.

To find out how much longer the top arc is than the bottom arc, we need to calculate the lengths of both arcs and then find the difference between them.

The formula to calculate the length of an arc is:

[tex]\[ \text{Arc length} = \text{radius} \times \text{angle in radians} \][/tex]

First, we need to convert the angle from degrees to radians, since the formula for arc length uses radians.

[tex]\[ \text{Angle in radians} = \frac{\text{Angle in degrees} \times \pi}{180} \][/tex]

[tex]\[ \text{Angle in radians} = \frac{135 \times \pi}{180} \][/tex]

[tex]\[ \text{Angle in radians} = \frac{3\pi}{4} \][/tex]

Now, let's calculate the lengths of both arcs:

For the bottom arc (with radius 9 inches):

[tex]\[ \text{Arc length}_\text{bottom} = \frac{27\pi}{4} \][/tex]

Now, to the nearest inch, we can approximate the difference:

[tex]\[ \text{Difference} \approx 10.5 \times 3.14 \][/tex]

[tex]\[ \text{Difference} \approx 32.97 \][/tex]

Rounded to the nearest inch, the top arc is approximately 33 inches longer than the bottom arc.


Related Questions

please i really need help

Answers

Answer:

B

Step-by-step explanation:

25x² - 144 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

25x² - 144

= (5x)² - 12²

= (5x + 12)(5x - 12) → B

Answer:

B) ( 5x + 12 ) ( 5x - 12 )

Step-by-step explanation:

Since we have options we could try expanding all of them out.

A) ( 12 + 5x ) ( 12 - 5x )

144 - 60x + 60x - 25x² = 144 - 25x²

That's not the answer we are looking for so we cross out "a" as an option

B) ( 5x + 12 ) ( 5x - 12 )

25x² - 60x + 60x - 144 = 25x² - 144

This is the answer which we are looking for so B is the answer

see picture^

can someone pls help me with this question, i will give brainliest to the first answer that’s right

Answers

Answer:

No.

Step-by-step explanation:

First class section seats: 5/7 = 10/14 so 10 seats are being used.

Business: 5/16 = 20/64, 20 seats are being used.

Economy: 5/9 = 60/108, 60 seats are being used.

10 + 20 + 60 = 90

108 + 64 + 14 = 186

90/186 is less than 1/2, because 1/2 = 93/186

What is the factored form of 30w+48

Answers

Answer:

[tex]6\left(5w+8\right)[/tex]

Step-by-step explanation:

[tex]30w+48[/tex]

[tex]6\cdot \:5w+6\cdot \:8[/tex]

[tex]6\left(5w+8\right)[/tex]

Determining the Vertex of a Parabola from Its Graph
On a coordinate plane, a parabola opens up with solid circles along the parabola at (negative 6, 5), (negative 5, 0), (negative 4, negative 3), (negative 3, negative 4), (negative 2, negative 3), (negative 1, 0), (0, 5).

What is the vertex of the parabola in the graph?



(
,
)

Answers

Answer:

(-3, -4)

Step-by-step explanation:

The solid circles along the parabola are:

(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).

Although on observation, the minimum point of y occurs at (-3, -4), we can also confirm through the function.

The x-intercept of the parabola are -5 and -1.

x=-5 or x=-1

x+5=0 or x+1=0

(x+5)(x+1)=0

[tex]x^2+5x+x+5=0\\x^2+6x+5=0[/tex]

The Vertex of the equation occurs at the axis of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]

In [tex]f(x)=x^2+6x+5, a=1, b=6[/tex]

Axis of Symmetry, [tex]x=-\dfrac{6}{2}=-3[/tex]

[tex]f(-3)=(-3)^2+6(-3)+5=9-18+5=-4[/tex]

Therefore, we can confirm that the vertex is (-3,-4) as stated earlier.

Which would result in the largest amount of money?!
35% of $1,000
10% of $375
7% of $5,200
50% of $640 plus 25% of $160

answer quickly and correctly and I will mark you brainliest!

Answers

Answer:

c 364

Step-by-step explanation:

this is the correct answer because the rest are lower answers

Answer:

the answer is 7% of 5,200.

Step-by-step explanation:

35% of 1000 is 350

10% of 375 is 37.5

07% of 5,200 is 364

and 50% of 640 (320) plus 25% of 160 (40) is 360

hope this helps!

what is the y- intercept of the line?​

Answers

Answer:

Your Y-Intercept should be -2

Step-by-step explanation:

You always need to look at where the line starts according to the coordinate when X = 0, or when the dot is in the very middle line.

Therefore, we can see that it starts at "down two", also known as "-2"

Answer:

it is 2

Step-by-step explanation:

to find the Y-intercept of a line, first u should find the slope intercept form

slope intercept form : y=mx+b

m=slope

b= y-intercept

first u should find the slope, so pick two points from the line and write them in a form of y2-y1/x2-x1

point 1: (1,0)

point 2: (2,2)

0-2/2-1=-2/1

m=-2

now pick one of the two points and replace it in the equation with the slope

0=-2(1)+b

solve for b

0=-2+b

add 2 on both sides

b=2

Natasha’s family has advised her not to depend completely on the insurance that her employer provides. Natasha now plans to independently obtain property and casualty insurance, auto insurance, and other insurance related to her personal life. What are the two ways in which she can accomplish her goal?
A. by seeking help from the human resource department of her company
B. by asking her family members to share their insurance with her
C. by hiring a local agent or broker who is familiar with her needs
D. by letting her employer-based life insurance and health insurance coverage lapse
E. by registering on the website of a national insurance company

Answers

Answer:

C. by hiring a local agent or broker who is familiar with her needs

and

E. by registering on the website of a national insurance company

Step-by-step explanation:

Just got this right on Plato :)

Final answer:

To independently obtain additional insurance, Natasha has two main options: hiring a local insurance agent or broker for personalized service, or registering on the website of a national insurance company for convenience and direct-purchase options.

Explanation:

Natasha can accomplish her goal of obtaining additional insurance coverage independently from her employer by following two main paths:

C. by hiring a local agent or broker who is familiar with her needs, orE. by registering on the website of a national insurance company.

By consulting a local insurance agent or broker, she can receive personalized advice and find coverage that fits her specific situation.

On the other hand, registering on the website of a national insurance company allows her the convenience to compare different plans and sign up for insurance that she can directly purchase.

Doing either will help her cover personal assets and health beyond what her employer provides without affecting her existing employment-based insurance coverage. It's important for her to assess her individual needs, risk factors, and financial situation when choosing the best insurance plans for her lifestyle.

Given the diagram below, find the measure in degrees of angle b & angle c

1) B= 68, C= 34
2) B= 68, C=68
3) B=34, C= 34
4) B=34, C=68

Answers

The answer is B=34,C=68

The measurements of the angles ∠ABD and ∠ACD will be 34° and 34°. Then the correct option is C.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

Then the arc AD is double of angle ∠ABD.

∠ABD = arc AD / 2

∠ABD = 68° / 2

∠ABD = 34°

Similarly, the arc AD is double of angle ∠ACD.

∠ACD = arc AD / 2

∠ACD = 68° / 2

∠ACD = 34°

Thus, the measurements of the angles ∠ABD and ∠ACD will be 34° and 34°.

Then the correct option is C.

More about the circle link is given below.

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the angles of a quadrilateral are 5x - 30°, 60° - x, 3x + 60° and 4x + 50°. Find the smallest of these angles?​

Answers

The sum of all andles in quadrilateral is equal to 360°, so

[tex]5x - 30 + 60 - x + 3x + 60 + 4x + 50 = 360 \\ 11x = 220 \\ x = 20[/tex]

Now we need to put x into polynomials

1)

[tex]5 \times 20 - 30 = 70[/tex]

2)

[tex]60 - 20 = 40[/tex]

3)

[tex]3 \times 20 + 60 = 120[/tex]

4)

[tex]4 \times 20 + 50 = 130[/tex]

Answer: the smallest ahgle is 60-x

Consider two circular swimming pools. Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters

Answers

Answer:

Pool B has the greater circumference.

Step-by-step explanation:

Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters.

We want to see which pool has a greater circumference.

The circumference of a circle is the distance around a circle or the total length of a circle, and it is given as:

[tex]C = 2\pi r[/tex]

where r = radius of the circle

So that our comparison can be accurate, let us put the dimensions of both pools in a single unit, metre.

The radius of pool A is 16 feet.

1 foot = 0.305 metres

16 feet = 4.88 metres

The radius of pool A in metres is 4.88 metres

CIRCUMFERENCE OF POOL A

[tex]C = 2 * \pi * 4.88 = 30.66 m[/tex]

CIRCUMFERENCE OF POOL B

[tex]C = 2 * \pi * 9.94 = 62.45 m[/tex]

As we can see, pool B has the greater circumference.

Answer:

Answer is on the picture below

Step-by-step explanation: the one that only says pool is pool B

Thank you! :)

The width of a rectangle is 1 units less than the length. The area of the rectangle is 56

units. What is the width, in

Units

Answers

Answer:

Width = 7 units

Step-by-step explanation:

Length = x units

Width = (x -1) units

Area = 56 square units

length * width = 56

x * (x - 1) = 56

x*x - x*1 = 56

x² - x  - 56 = 0

x² -8x + 7x - 7*8 = 0

x(x - 8) + 7(x - 8) = 0

(x - 8)(x + 7) = 0

Here, (x +7) is ignored because measurement will not  in negative.

x - 8 = 0

x = 8

Length =  8 units

Width = 8-1 = 7 units

Width

IF SOMEONE ANSWERS CORRECTLY WITHIN 5 MINUTES THEY WILL GET BRANLIEST ANSWER
An explosion causes debris to rise vertically with an initial velocity of 144 feet per second. The function s left parenthesis t right parenthesis equals negative 16 t squared plus 144 t describes the height of the debris above the​ ground, s(t), in​ feet, t seconds after the explosion. What is the instantaneous speed of the debris when it hits the​ ground?

Answers

Answer:

160ft

Step-by-step explanation:

The length of the minute hand of a clock is

14 inches. What is the length of the path traced

by the outer tip of the minute hand in one

hour? Use 22

7 for p.

Answers

Answer:

Step-by-step explanation:

Given

Length of the minute hand = 14 inches

Time = 1 hour

Required

Length of the path traced in 1 hour

For, the minute hand to have completer an hour, this means it completes a cycle;

1 cycle is equivalent to 1 complete rotation;

So, basically the question implies that; the circumference of the complete rotation be solved for;

To solve for this; we make use of the circumference formula;

[tex]C = 2\pi r[/tex]

Where

C represents the circumference

r represents the radius or the length of the minute hand

[tex]\pi = \frac{22}{7}[/tex] --- This is given from the question;

By substitution, we have

[tex]C = 2 * \frac{22}{7} * 14[/tex]

[tex]C = \frac{2 * 22 * 14}{7}[/tex]

[tex]C = \frac{616}{7}[/tex]

[tex]C = 88 inches[/tex]

Hence, the length of the path traced is 88 inches

What is the approximate circumference of the circle shown below?

Answers

Answer:

A

Step-by-step explanation:

to find the circumference of a circle, u multiply the diameter by pi. pi is approximately 3.14. 12.2 times 3.14 is 38.308. rounded to the nearest tenth it is 38.3 :)

Which equation is equivalent to 4^x+3=64
A) 2^x+6 = 2^4
B)2^2x+6 = 2^6
C) 4^2x+6 = 4^2
D)4^x+3 = 4^6

Answers

The answer is B. Hope this helps!(:

what is the area of a pentagon with an apothem of 12 and side length of 17.4

Answers

Answer:

522

Step-by-step explanation:

For an n-sided polygon, with apothem a, and side s, the area is

A = ans/2

A = (12)(5)(17.4)/2

A = 522

Which angles are alternate exterior angles.

Answers

Answer is choice on bottom right

find the equation of a circle that passes through (2,0) and (8,0)and also touches the y axis​

Answers

(x-5)*2 +(y-4)*2=25

Explanation

Equation of circle is (x-a)*2 + (y-b)*2=r*2

Expand equation to get

x*2 - 2ax + y*2- 2by+ b*2= 0

Then take the points and put them into the equation

You will then have two equations

Solve them simultaneously to find a and b

Where a= 5 and b = 4

After put it back to the equation of the circle

To find the area of a triangle, you can use the expression b times h divided by 2, where b is the base of the triangle and h is it’s height. What is the area of a triangle with a base of 8 and a height of 4?

Answers

Answer:

16  sq. units

Step-by-step explanation:

The formula for the area of a triangle:

A = 1/2bh

If base and height are known as:

b = 8 units and h = 4 units

Then the area is:

A = 1/2*8*4 = 16 sq. units

A cookie factory produced 2,435,956 packages of cookies. There were 52 cookies in each package. How many cookies did the factory produce in all?

Answers

Answer: The factory produced 46845.3076923 cookies, though in context the answer does not make sense. If you were to estimate then it'll be 46845 cookies.

no the answer is 126,669,712 you multiply the numbers not divide :)

Find the whole.
155​% of what number is 93​?

Answers

155% of what number is 93?:

60

Lance the alien is 5 feet tall. His shadow is 8 feet lopg.
5 ft
8 ft
32 it
At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

Answers

Answer:

20 ft

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal.

let h be the height of the tree, then

[tex]\frac{h}{5}[/tex] = [tex]\frac{32}{8}[/tex] = 4 ( multiply both sides by 5 )

h = 20

The height of the tree is 20 ft

The height of the tree that both triangles are similar to is 20 feet.

What is symmetry?

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

As per the given two triangles,

Let's say the height of the tree is h.

By similar triangle property

h/32 = 5/8

h = (5/8)32

h = 5 x 4 = 20 feet

Hence "The height of the tree that both triangles are similar to is 20 feet".

To learn more about symmetry,

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How many angles are alternate interior angles with angle 9?
Brainliest for whoever answers first!!!!!!

Answers

Answer:

Angle 7 and angle 15

Step-by-step explanation:

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

Alternate interior angles with angle 9 are:

Transversal s, parallel lines are t and u,

Angle 9 is in pair with angle 7

Transversal u, parallel lines are s and r,

Angle 9 is in pair with angle 15

Final answer:

If angle 9 is an interior angle within a pair of parallel lines cut by a transversal, then there would be one alternate interior angle to angle 9. The alternate interior angles are those inside the lines and on opposite sides of the transversal.

Explanation:

In a pair of parallel lines cut by a transversal, the alternate interior angles are those angles that are inside the pair of lines and on opposite sides of the transversal. The alternate interior angles are equal when the lines are parallel. From your question, it's not clear which lines are parallel and where angle 9 is located.

Let's assume that angle 9 is one of the interior angles created by the transversal on a pair of parallel lines. In that case, there would be one angle that is an alternate interior angle to angle 9. So without more information, we can only say that there is one alternate interior angle to angle 9.

Learn more about Alternate Interior Angles here:

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Find the equation of a parabola with vertex (3, 5) and directrix y = 7.

Answers

Answer: -8(y-5) = (x-3)2

Step-by-step explanation:

Well, p(y-k) = (x-h)2 has Vertex (h,k) = (3,5).  So the Distance from vertex to directrix is 2; distance from vertex to focus is 2; focus is directly beneath the vertex.  Therefore it's  p = -2  ( I hope this helped<3)

A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100% peroxide). If x liters of pure peroxide are added to 100 liters of its 10% solution, the concentration, C, of the new mixture is given by the formula below. How many liters of pure peroxide should be added to produce a new product that is 70% peroxide? C= (x + 0.1(100))/(x +100)

Answers

Answer:

200 liters.

Step-by-step explanation:

To solve this, let's first set C in our equation to .7, since that is the concentration we are aiming for.

.7= [tex]\frac{(x+0.1(100))}{x+100}[/tex]

Next, we can simply this equation further:

.7= [tex]\frac{(x+10)}{x+100}[/tex]

We can multiply both sides by the denominator, resulting in:

.7x+70= x+10

Finally, continue simplifying to solve for x:

60= .3x

x= 200 liters.

Find an equation of the line passing through the point (5,4) and parallel to the line whose equation is 2x+y=3

Answers

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =4

m the slope  m= -2 (same slope for the line : 2x+y=3 because this lines are parallel and you can write y=-2x+3

an equation for this line is : y-4 = -2(x-5)

Final answer:

The equation of the line parallel to 2x + y = 3 and passing through the point (5, 4) is y = -2x + 14.

Explanation:

To find the equation of a line that is parallel to the given line 2x + y = 3 and passes through the point (5, 4), we first need to put the given line into slope-intercept form (y = mx + b), where m represents the slope and b the y-intercept. For the equation 2x + y = 3, we solve for y to get y = -2x + 3, which shows that the slope (m) is -2. Since parallel lines have the same slope, our new line will also have a slope of -2.

Using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) is the point (5, 4) and m is -2, we get y - 4 = -2(x - 5). Simplifying this, y - 4 = -2x + 10, which leads to y = -2x + 14 as the equation of the line passing through (5, 4) and parallel to 2x + y = 3.

The hu family goes out for lunch and the price of the meal is $45 the sales tax on the meals is 6% and the family also leaves a 20% tip on the pretax amount what is the total cost of the meal

Answers

Answer:

$56.7

Step-by-step explanation:

For this, you need to find out the tip and the tax.

45 x .06 = 2.7

45 x .2 = 9

After you find out that, add them together and that will be the total cost.

45 + 2.7 + 9 = 56.7

Feel free to let me know if you need more help. :)

Landon left a garbage can on the lawn and the grass underneath it died. The diameter of
the can is 54 centimeters. What is the area of the grass that died? Use 3.14 for pi.

Answers

Answer:

The area of the grass that died is 2,289.06 cm²

Step-by-step explanation:

In order to calculate the area of the grass that died, we need to calculate the area of the bottom of the trash can. Since it's a circular shape it's area is given by:

area = pi*r²

Where r = d/2, therefore:

r = 54/2 = 27 cm

Applying this data to the formula, we have:

area = pi*(27)² = 2,289.06 cm²

The area of the grass that died is 2,289.06 cm²

At a cost restaurant the cost for a hot dog and a soft drink is $2.10. The cost for two hot dogs and three soft drinks is $5.15. Determine the cost of a soft drink

Answers

Answer:

The cost of soft drink is $0.95

Step-by-step explanation:

Let the cost of hot dog be x

Cost of 2 hot dogs = 2x

Let the cost of soft drink be y

Cost of 3 soft drinks = 3y

At a cost restaurant the cost for a hot dog and a soft drink is $2.10.

So, x+y=2.10

The cost for two hot dogs and three soft drinks is $5.15

So, 2x+3y=5.15

Plot the lines on the graph:

x+y=2.10 --Purple line

2x+3y=5.15 --- Black Line

Intersection point =(x,y)=(1.15,0.95)

Hence The cost of soft drink is $0.95

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 18, 3, 0, 3, 6, 3.
Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where the function is increasing?



Answers

Answer:

  [-1, 1]

Step-by-step explanation:

Comparing each table value to the one before, we find the function to be increasing on the interval [-1, 1].

__

The graph in the second attachment shows that integer interval to be the only one where the function is increasing.

Answer:

-1,1

Step-by-step explanation:

time for learning

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