A windshield wiper is 50 cm long. In one sweep it turns through an angle of 115°. Calculate the distance (length) it covers in one sweep. Round to the nearest whole number.

Answers

Answer 1

Answer:

The distance in one sweep is 100 cm approximately

Step-by-step explanation:

Here, we want to calculate the distance the wiper covers in one sweep

Mathematically;

we have a structure like an arc of a circle. It is the length of this arc we want to calculate.

The formula for the length of an arc is;

theta/360 * 2 * pi * r

r is the radius which in this case is 50 cm

We have ;

115/360 * 2 * 3.1412 * 50 = 100 cm approximately


Related Questions

The solution to which system of equations has an y-value of 0?
(A) x + 2y=-1; y = 3x + 3
(B) 3x – y=2; x + 2y=-1
y= 3x + 3; 2x + 3y=01
(D) 2x + 3y=0; x + 2y=-1

Answers

Answer:

option D I think So

Step-by-step explanation:

give me the branirst

The only system of equation (A) has a y-value of 0.

What are Systems of equations?

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

To find the solution with a y-value of 0, we need to substitute y=0 in each equation of the system and solve for x.

(A) x + 2y = -1

x + 2(0) = -1

x = -1

y = 3x + 3

y = 3(-1) + 3

y = 0

The solution to system A has a y-value of 0.

(B) 3x - y = 2

3x - 0 = 2

x = 2/3

x + 2y = -1

(2/3) + 2y = -1

2y = -1 - (2/3)

2y = -5/3

y = -5/6

The solution to system B does not have a y-value of 0.

(C) y = 3x + 3

y = 3x + 3 implies that y cannot be 0, so this system cannot have a solution with a y-value of 0.

(D) 2x + 3y = 0

2x + 3(0) = 0

2x = 0

x = 0

x + 2y = -1

0 + 2y = -1

y = -1/2

The solution to system D does not have a y-value of 0.

Therefore, the solution to system A has a y-value of 0.

Learn more about the System of equations here:

https://brainly.com/question/12628931

#SPJ7

—-PLEASE HELP QUESTION IS IN THE PICTURE-



is this wrong?

Answers

looks good I can't see anything wrong

7m+9, for m=2.
Someone solve please

Answers

Hi the answer to your question is 7(2)+9=23

Lines A and B parallel lines cut by the transversal c. If the measure of angle 5 is 123, what is the measure of angle 1?


Will mark b if correct:)

Answers

123. angle 1 would be the same as angle 5, seeing as the lines are parallel. 5&1 are both on top on lines A & B AND on the same side of transversal

The population of a school is 800 and is decreasing at a rate
of 2% per year; 4 years

Answers

Answer:

i think the answer is 738

Are these ratios equivalent?
6 men to 7 women
12 men to 14 women ​

Answers

Answer:

Yes 6 times 2 is 12 and 7 times 2 is 14

Answer:

6:7=12:14

12:14=6:7

:-)))

How to Simplify (7^6)^2

Answers

Answer:

Well, since your question is asking how to simplify and not the actual answer itself, all we have to do is first simplify 7^6=117,649. Now we just take that number and make it 117,649^2. I hope im correct with the way i set up the equation even though the number is absurdly large

Step-by-step explanation:

Answer: (7⁶)² = 7¹²

Step-by-step explanation:

All you have to do is multiply the exponents here and keep the 7. So, your final answer is 7¹².

Hope this helps, and don't forget to mark me brainliest! Have a wonderful day!

389 / 106
Round off to the nearest whole number ​​

Answers

Answer:

thi is the answer 3.66981132

Step-by-step explanation:

u just divided it

Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,310 in 13 years?

Answers

Answer:

700

Step-by-step explanation:

Answer:

$712

Step-by-step explanation:

A x (1 + 4,8%)¹³ = 1310

=> A = 1310 : (1 + 4,8%)¹³ = 712,1551532

PLEASE HELP ME ITS TIMED!!

Answers

Answer:

x=10

Step-by-step explanation:

x^2 + 24^2 = 26^2

x^2 + 576 = 676

x^2 = 100

√x^2 = √100

x=10

Answer:

well,  we carry 2 of 2 of x so we know that 10 is in because of 6 +4  and 2+2=4  add them up so if im correct its 14 mark brainleist

Step-by-step explanation:

What is the value of y in 6y+4

Answers

Answer:

1.5y

Step-by-step

Tristan paid $17.50 to buy 2 pounds of peanuts and 3 pounds of cashews. Rivka paid $19.00 to buy 5 pounds of peanuts and 2 pounds of cashews. If both people paid the same price per pound, what was the price per pound for the cashews?

A. $2.00

B. $3.80

C. $4.50

D. $8.75

Answers

Answer:

C. $4.50

Step-by-step explanation:

hello, there.

1) 2p + 3c = 17.50

2) 5p + 2c = 19.00

:

Solve equation 1 for p

:

p = (17.50 - 3c) / 2

:

Substitute for p in second equation

:

(5(17.50 - 3c) / 2) + 2c = 19.00

:

Multiply both sides of = by 2

:

(5(17.50 - 3c)) + 4c = 38.00

:

87.50 - 15c + 4c = 38.00

:

-11c = -49.50

:

c = 4.50

:

---------

Cashews are $4.50 per pound

--------------

:have a great day.

Answer:

C

Step-by-step explanation:

Let p represent the cost for one pound of peanuts and let c represent the cost for one pound of cashews.

Two pounds of peanuts and three pounds of cashews cost $17.50. So:

[tex]2p+3c=17.5[/tex]

Five pounds of peanuts and two pounds of cashews cost $19.00. So:

[tex]5p+2c=19[/tex]

This yields a system of equations.

We can solve this using elimination. We can multiply the first equation by -5, and the second by 2. Therefore:

[tex]-5(2p+3c)=-5(17.5)[/tex]

Multiply:

[tex]-10p-15c=-87.5[/tex]

And:

[tex]2(5p+2c)=2(19)[/tex]

Multiply:

[tex]10p+4c=38[/tex]

Now, we can add the two equations together:

[tex](-10p-15c)+(10p+4c)=(-87.5+38)[/tex]

Combine like terms:

[tex]-11c=-49.5[/tex]

Therefore:

[tex]c=4.5[/tex]

So, a pound of cashews costs $4.50.

Our answer is C.

Notes:

To solve for the cost for peanuts, we can use the first (or second equation) again:

[tex]2p+3c=17.5[/tex]

Substitute:

[tex]2p+3(4.5)=17.5[/tex]

Solve for p:

[tex]2p+13.5=17.5\Rightarrow 2p=4\Rightarrow p=2[/tex]

So, a pound of peanutes cost $2.00.

A taxi cab cost $1.75 for the 1st mile and .75 for each additional mile you have $20 to spend on your ride was in a quality could be certified and how many miles you can travel if N is a number of additional miles

Answers

Answer: 0.75n+1.75 ≤ 20 because you have to have the number of additional miles with the cost of $0.75 per mile but then you have to add the original first mile with a cost of $1.75. It has to be less than or equal to because you only have $20 to spend you can't spend more than that you have to spend that amount or less.

Step-by-step explanation:

Answer:

25 miles or 25.333

Step-by-step explanation:

The university of Toronto has about 91,000 student registered. If this number is rounded to the nearest thousandth, which of the following is a possible number of students? Answer ASAP please!

A. 92,392

B. 90,439

C. 91,142

D. 91,984

Answers

It would be C. 91,142

Factor the expressions.
9. ​3x + 2410.

10. 9c - 63

solve both and number the answers

Answers

Answer:

[tex]3x + 2410 \\ x = 2410 - 3 \\ x =2407 \\ \\ \\ 9c - 63 \\ 9(c - 7) [/tex]

The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule?

Answers

Answer:

You keep adding 15.

Step-by-step explanation:

5+15=20

20+15=35

35+15=50

50+15=65

On Tuesday, Bob brought home an oriental carpet on approval. The price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars. On Tuesday, one dollar was worth 4.5 Turkish Lira. On Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira. Feeling lucky by this change, Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate. To the nearest dollar, how much did he save due to the devaluation?

Answers

Answer:

Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.

Step-by-step explanation:

Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:

(9,900 / 4.5) - (9,900 / 6.5) = X

2,200 - 1,523.07 = X

676.92 = X

So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.

Which ordered pairs are solutions to the system of linear equations?
y = 2x + 1
2y - 4x = 2
O (0,1)
O (1,0)
O (2,3)
O (-1, - 1).
0 (0,0)
O (-1,3)

Answers

Answer:

answer is (0,1).........

product of (7x + 2) and (5x − 11)?

Answers

Answer: -32x - 22

Step-by-step explanation:

Answer:

[tex]35x^{2}-67x-22[/tex]

Step-by-step explanation:

:)

what is the slope of the equation y=2/3x-4

Answers

Answer:

2/3

Step-by-step explanation:

y=mx+b

y=2/3x-4

m=slope

b=y intercept

Will's suitcase must weigh less than 50 pounds. Choose the inequality that best represents the situation. a: x ≤ 50 b: a<50

Answers

Answer:

A

Step-by-step explanation:

If 2 inches on a map represents 100 miles, how much does 3.5 inches
represents on the same map? *

Answers

Answer:

175 miles

Step-by-step explanation:

3.5 has 2 miles in it so it has 100 then it has another 1 to make It 3 and half of 2 is ahh it's hard to explain but there's the anwser

please help i’ll give brainliest if you help thanks

Answers

Answer:

4b.

Step-by-step explanation:

What is the value -5(-2)

Answers

Answer: 10

Step-by-step explanation: When multiplying integers,

if the signs are the same, the product is positive.

So a negative times a negative always equals a positive.

Therefore, -5(-2) is 10.

Answer:

10

Step-by-step explanation:

-5 x -2 = 10

Find the surface area of a cube with sides = 9 inches. Think about finding area of 1 face and then multiplying by 6.

Answers

Answer:

Step-by-step explanation:

There are 80 students in a 8th grade, 20% are boys. How many boys are in 8th
grade?

Answers

Answer:

16 boys

Step-by-step explanation:

Lets go with easy example:

20% of 100 students means 20 students: what is done there

We converted 20% to 20/100 so

[tex]\frac{20}{100}*100=20[/tex]

Lets do the same with 80 students as well

[tex]\frac{20}{100}*80=16[/tex]

Answer:

16

Step-by-step explanation:

[tex]\frac{20}{100} x \frac{x}{80} =16[/tex]

or do

80 x 0.20=16

both works

AYO CAN YOU BE MY BAKA (HELP ME WITH MATH)

Answers

Answer:

Addition

Step-by-step explanation:

1) Add 275 to both sides.

[tex]800 + 275 = p[/tex]

2) Simplify 800 + 275 to 1075.

[tex]1075 = p[/tex]

3) Switch sides.

[tex]p = 1075[/tex]

We need to add in order to solve the equation.

so therefor, the answer is option G.

Answer:

Addition

Step-by-step explanation:

What is the value of tangent theta in the unit circle below? One-half StartFraction StartRoot 3 EndRoot Over 3 EndFraction StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot

Answers

Answer:

[tex]\frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

A unit circle is defined as a circle of unit radius (that is the radius of the circle is equal to 1). In trigonometry, the unit circle is a circle with a radius of 1, while centered at the origin (0, 0) in the Cartesian coordinate.

In the unit circle below, we can see that the line touches the unit circle at point [tex](\frac{\sqrt{3} }{2} ,\frac{1}{2})[/tex], therefore to find the tangent of theta, we use the formula:

[tex]tan\theta = \frac{y}{x} \\\\tan\theta=\frac{\frac{1}{2} }{\frac{\sqrt{3} }{2} } =\frac{1}{2}*\frac{2}{\sqrt{3} } \\\\tan\theta=\frac{1}{\sqrt{3} }[/tex]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

I think thats what the answer above meant.

can someone help me with this and show me the steps if you don't mind

Answers

Answer:

(x+8)(x+5)

Step-by-step explanation:

Since we know x2 is equivalent to x times x we can automatically start by filling in the first two spaces with x. Then since we know that we're going to need two numbers that equal forty since it's part of the equation we can get two number that will also add up to 13x which is 8 and 5. We then get (x+8)(x+5). (Sorry lol this question is kind hard to explain over the computer.)

Find the value of x in the figure shown.

Answers

that’s 12 since we calculate the sides
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