calculate the arc length. please help!

Answer:

Height - 12.692 in

Step-by-step explanation:

Answer:

A = 1/2 bh

Step-by-step explanation:

Replace are and base to get:

82.5 = 1/2 x 15 x height

Multiply both sides by 2:

165 = 15 x height

Divide both sides by 15:

Height = 165 / 15

Height = 11 inches.

Answer:

1,044cm

Step-by-step explanation:

46-21=25cm (the length of the top line)

30-14=16cm (the length of the other line on the left of the 21)

Split it into three rectangles, 25×16, 21×14 and 25×14

25×16 = 400cm

21×14 = 294cm

25×14 = 350cm

Add to together: 400+350+294= 1044cm

the other commenter is right

Answer:

  a) -3p +4q

  b) -6x +3y

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Use the properties of arithmetic to combine the numbers.

__

The order of operations tells you to start with the inner parentheses and work outward.

  [tex]-\dfrac{1}{3}(6(p+q)-3(p-2(p-3q)))=-\dfrac{1}{3}(6(p+q)-3(p+(-2)(p) +(-2)(-3q)))\\\\=-\dfrac{1}{3}(6(p+q)-3(p-2p+6q))=-\dfrac{1}{3}(6(p+q)-3(-p+6q))\\\\=-\dfrac{1}{3}((6)(p)+(6)(q)+(-3)(-p)+(-3)(6q))=-\dfrac{1}{3}(6p+6q+3p-18q)\\\\=-\dfrac{1}{3}(9p -12q)=(-\dfrac{9p}{3})+(-\dfrac{-12q}{3})=\boxed{-3p+4q}[/tex]

__

Same deal for the second expression: use the distributive property and combine like terms.

  [tex]y-\dfrac{2}{3}(9x-3y)=y+(-\dfrac{2\cdot9x}{3})+(-\dfrac{2(-3y)}{3})\\\\=y-6x+2y=\boxed{-6x+3y}[/tex]

Answer:

70°f is the median temperature of the pond

Answer:

2: 125

4: 55

7: 125

3: 125

Step-by-step explanation:

Since the top and bottom lines are parallel, 2 is equal to 6.

since angles 4+2 sums up to a straight line, its 180 degrees

125+55 is 180

same with 3, 3+4 is 180

7 is same as 3

y=x-50

[tex]\huge\mathfrak\colorbox{white}{}[/tex][tex]\huge\mathfrak\colorbox{white}{}[/tex]

Answer:

-1

Step-by-step explanation:

The slope is the change in the Y value divided by the change in the X value. Therefore, the slope of this line is:

(-17-[-18])/(-7-[-6) = (-17+18)/(-7+6) = (1)/(-1) = -1

Answer:

5.9, 47/8, and [tex]\sqrt{35}[/tex]

Step-by-step explanation:

I did this before, Please Mark brainliest

Answer:87.5%

Step-by-step explanation:

(Final value - starting)/staring *100

Answer:

£113 and 603 miles.

Step-by-step explanation:

206 + 117 + 282 = 605 miles

45 + 68 = £113

£113 and 605 miles.

Answer:

-2, -5, -8, -11, ... -14, -17

Step-by-step explanation:

-3 each time.

Answer:

26%

Step-by-step explanation:

To calculate the percentage score which you got right in your test,

Number of questions wrong/TOTAL number of questions * 100

6/23 * 100

= 26%.

Answer:

26%

Step-by-step explanation:

Hope I was able to help. Have an amazing day.

BTW- your profile pic is super adorable! :)

Answer:

-2/3

Step-by-step explanation:

To find the slope, you can pick two points on the graph and plug them into the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]\frac{0-2}{6-3}[/tex]

[tex]\frac{-2}{3}[/tex]  is the same as [tex]-\frac{2}{3}[/tex]

hope this helps!

Answer:

1/4

Step-by-step explanation:

we can take two points on the line: (0,2) and (4,3)

to find slope:(2-3)/(0-4)

1/4

Answer: 230.4 feet

Step-by-step explanation:

arc length = circumfrance x fraction of a circle

                 = [tex]2\pi r[/tex] x [tex]\frac{165}{360}[/tex]

                 = [tex]\frac{2*\pi *80*165 }{360}[/tex]

                 = 230.4 feet to nearest tenth

The length of the intercepted arc between those two cars on the Ferris wheel is 230.4 feet. This is obtained by using the arc length formula in degrees.

The distance across the curved length is said to be arc length.

The arc length is calculated by using the formula:

arc length = circumference × fraction of circle

⇒ arc length = 2πr × θ/360° when θ is given in degrees

where r is the radius.

Given that,

A Ferris wheel has a radius of r=80 feet

Two particular cars are located such that the central angle between them is 165° i.e., θ = 165°

arc length = 2πr × θ/360°

⇒ 2π×80×[tex]\frac{165}{360}[/tex]

⇒ 230.38 feet

Rounding off to the nearest tenth, we get arc length = 230.4 feet.

Learn more about arc length here:

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Answer:

v=2144.66

Step-by-step explanation:

formula: 4/2 (pi) (r)³

................

Answer:

V = 2143.573333333333.... in³

Step-by-step explanation:

Formula for volume -> V = 4/3 πr³

We know the circumverence now we need to et the radius.

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius.

16pi/pi = 16/2 = 8

V=4/3πr³

V=4/3π8³ = 2143.5733333333333333333333333333333333333333333333333333333333333...

Answer:

19+4i

Step-by-step explanation:

Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

FOIL

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

Result of multiplication of complex numbers will be 19 + 4i

Given,

(3 + 2i)(5 – 2i)

Here,

Complex numbers standard form : x ± iy

Here,

x = real part

y = complex part.

i = iota = [tex]\sqrt{-1}[/tex]

So,

Multiplication :  (3 + 2i)(5 – 2i)

⇒15 -6i + 10i -4i²

Here,

i = √-1

i² = -1

So,

15 -6i + 10i -4i²

15 -6i + 10i - 4(-1)

⇒19 + 4i

Know more about complex numbers,

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Answer:

Eddie O'Neil found a car advertised at a local used-car dealership for $34,000. The car is clean and in good condition. Its average retail value is $33,400.

Step-by-step explanation:

in your calculator, type in 18.25/6.

Answer:

x2 + y2

_____________

(x + y)2 • (x - y)

Check the picture below.

Answer:

b=3

Step-by-step explanation:

i subtracted 11 with the 26 and got 15 and then I divided the 5b with the 15 and got 3

Hope i helps<33

Answer:

b=3

Step-by-step explanation:

move the constant to the right-hand side and change its sign 5b = 26 - 11

subtract the numbers 5b = 15

divide both sides of the equation by 5 b = 3

Answer:

Think about the following situations: speed limits on the highway, minimum payments on credit card bills, number of text messages you can send each month from your cell phone, and the amount of time it will take to get from home to school. All of these can be represented as mathematical inequalities.

Step-by-step explanation: Got this online hope it helps

The profit which the manufacturer gained from the warranties is a. $105,430,050

Given that count 12% of 532,475:

532,475 - 100%

x - 12%

x= 63, 897.

This means that 63, 897 guitars were sold with a full-replacement warranty and 532,475-63,897=468,578 electric guitars were sold without a full-replacement warranty.

Hence, to find the gain of the manufacturer, $225·468,578

=$105,430,050 from the warranties.

Option A is correct: $105,430,050

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Answer:

b.

$66,772,365

Step-by-step explanation:

100% on EDGE

180

Step-by-step explanation:

9:40

?:800

9×20=180

40×20=800

it is a ratio. 9 oranges to 40 people. 40 times 20 is 800 so you do the same to 9 (which gives you 180)

Answer:

180/800

Step-by-step explanation:

if you multiply the numbers by 20 you can get your answer

Answer: Right triangle

Step-by-step explanation:

QR is perpendicular to line n, so the indicated angle is a right angle. Thus, QRS is a right triangle because a triangle with a right angle is a right triangle.

Answer:

this

Step-by-step explanation:

doesn't need any explanation

Answer:

It should be that since the -1 3/4 is negative and 4 1/2 is positive.

Answer:

2cis(20°)

Step-by-step explanation:

we are given that

[tex] \displaystyle \rm z = 10cis ({30}^{ \circ} )[/tex]

[tex] \displaystyle \rm w = 5cis ({10}^{ \circ} )[/tex]

We want to find z/w . To do so, divide 10cis(30°) by w = 5cis(10°) which yields:

[tex] \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )}[/tex]

recall that,

[tex] \displaystyle \rm \frac{ r_{1} cis ({ { \theta}_{1}} )}{ r_{2}cis( { \theta}_{2})} = \frac{ r_{1} }{ r_{2} } cis({ \theta}_{1} - { \theta}_{2})[/tex]

consider,

Therefore, utilizing the formula yields:

[tex] \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )} \\ \implies \rm\frac{ z}{w} = \dfrac{10}{5} cis( {30}^{ \circ} - {10}^{ \circ} ) \\ \implies \rm \dfrac{z}{w} = \boxed{ \rm2cis( {20}^{ \circ} )}[/tex]

and we're done!

NB: cis(x) is also known as cos(x)+i×sin(x)