● The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distance travelled by their tips in 2 days.

Class - 10th


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Step by step explanation please ​

Answers

Answer 1

Step-by-step explanation:

short hand radius = 4

distance travellled in 1 day revolution = 2πr= 2 x 22/7 x 4= 25.1cm (approx)

distance travellled in 2 day revolution= 25.1+ 25.1 = 50.2

long hand radius= 6

each hour 1 revolution by long hand so in 24 hr 24 revolutions and 48 he 48 revolution

distance travelled in 1 hr = 2πr= 2 x 22/7 x 6= 37.7

distance in 48hr = 37.7 x 48= 1809.6 (approx)

so sum of both= 1809.6 + 50.2 = 1859.8

Answer 2

Answer:

1910.12 cm

Step-by-step explanation:

2 days = 48 hrs = 2880 mins

One cycle of the short hand (4 cm) would be 12 hrs.

48/12 = 4 cycles

Circumference of a circle =  [tex]2\pi r[/tex]

r = 4 cm

2*pi*4 ≈ 25.13 cm (I only rounded to the hundredth, adjust as u need)

25.13 * 4 = 100.52 cm

One cycle of the long hand (6 cm) would be 60 mins (which is 1hr and two days would be 48hrs or 48 cycles. But let's keep this consistent).

2880/60 = 48 cycles

Circumference of a circle =  [tex]2\pi r[/tex]

r = 6 cm

2*pi*6 ≈ 37.70 cm (I only rounded to the hundredth, adjust as u need)

37.70 * 48 = 1809.6

100.52 + 1809.6 = 1910.12 cm

^^ I'm not a junior I'm a senior so lol


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Step-by-step explanation:

It costs $15,700 to build a particular car. This car sells for $24,322. What is the percent markup on the car to the nearest percent.

Answers

Answer: $15,700 - $24,322= 8622

Step-by-step explanation:

All you have to do is subtract

1.) find the first four terms in ascending powers of X in the expansion (2+2X)¹² .show your working!!​

Answers

Answer:

15/8

Step-by-step explanation:

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A ladder rests against the side of a barn. The tip of the ladder reaches 20 feet up the wall and the base of the ladder reaches a point on the ground 12 feet from the wall. About how tall is the ladder?

A. 23 ft
B. 16 ft
C. 12 ft
D. 9 ft

Answers

Answer:

A - 23ft

Step-by-step explanation:

Pythagorean theorem: 12^2 + 20^2 = X^2.

X^2 = 544. X = sqrt(544) which is around 23ft

Which expression is not equal to 1?

sin θ csc θ
cos θ sec θ
tan θ cot θ
sin θ cos θ

Answers

Answer:

sin θcos θ

hope it is helpful to you

Answer:

sin A cos A

Step-by-step explanation:

[ I don't know to type angle theta here so assume A as theta]

As , sin A= p/ h

cos A= b/ h

so,

sinA cosA = p/ h × b/h

= pb/ h^2 ( which is not equal to 1 )

Tip; you can easily verify other relations expressing trigonometric ratios in terms of p,b & h and further simplifying..

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Answers

Answer:

how should we help?

Step-by-step explanation:

Answer:

dang that sucks..... try and play music at max vol and see if you hear any music coming from anywhere that's probably were the airpods are, if they are in the case then i dont know if u would hear anything. It all depends...

~ i hope this has helped ya out some how, hope ya find your airpods my friend!~

Step-by-step explanation:

Find the area of the largest square contained by a circle of radius r = 1cm. Explain your answer and justify that it is correct. Hint: Use the pythagorean theorem.

Answers

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

                                                                      = 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is [tex]$r \sqrt 2$[/tex].

Therefore, the area of the square is given by [tex]$\text{(side)}^2$[/tex]

                                                                         = [tex]$(r\sqrt 2)^2$[/tex]

                                                                         [tex]$= 2 r^2$[/tex]

                                                                         [tex]$= 2 (1)^2$[/tex]

                                                                         [tex]$=2 \ cm^2$[/tex]

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

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Find the value of x. If necessary, write your answer in simplest radical form.
24
20

Answers

Answer: 46 is your answer hope this helped

Step-by-step explanation:

Answer:

[tex]4 \sqrt{11} [/tex]

Step-by-step explanation:

According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} - {height}^{2} = {(base)}^{2} [/tex]

[tex] = > {24}^{2} - {20}^{2} = {x}^{2} [/tex]

[tex] = > \: {x}^{2} = 576 - 400[/tex]

[tex] = > {x}^{2} = 176[/tex]

[tex] = > x = \sqrt{176} [/tex]

[tex] = > x = \sqrt{2 \times 2 \times 2 \times 2 \times 11} [/tex]

[tex] = > x = 2 \times 2 \sqrt{11} [/tex]

[tex] = > x = 4 \sqrt{11} (ans)[/tex]

Simplify the expression: 4(x + 3) = 40

Answers

Answer:

x=7

Step-by-step explanation:

4x+12=40

-12

4x=28/4

Answer:

x =7

Step-by-step explanation:

4x + 12 = 40

4x + 12 - 12= 40 -12

4x = 28

4/4= 28/4

x= 7

Simplify.
27²=
FAST plsssssssssssssssssssssss

Answers

Answer:

729

Step-by-step explanation:

27²=  (27)(27)=729

Mikel gave a $1.32 tip for an order that cost $8.80.
Determine whether or not each tip below is proportional to Mikel's tip.
Proportional to Mikel's tip
Not proportional to Mikel's tip
$2.22 tip for a $14.80 order
$1.86 tip for a $10.50 order
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$0.78 tip for a $5.20 order

Answers

Answer:

Step-by-step explanation:

Multiple the numbers one by one and the answers you’ll get u can choose to divide multiple plus or minus and u will get the answer

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Answers

Answer:

For number five your answer would be C and for number 6 it would be C

Step-by-step explanation:

you take 12 and multiply by 9 which gives you 108

5. B
6. C.
I don’t know how to explain the situation. It is really hard to explain on text.

what is the volume of this pyramid?

the options are
A. 720
B. 1080
C. 1440
D. 2160

Answers

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Caleb earns points on his credit card that he uses toward future puchases. He earns four points per dollar spent on flights, two points per dollar spent at hotels,and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.

Answers

Answer:

Let f = dollars spent on flights, h dollars spent on hotels, and p dollars spent on all other purchases.

Step-by-step explanation:

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Answers

Answer:

x = 30

Step-by-step explanation:

According to figure,

54° + 3x+36° = 180° [Linear pair]

=> 3x + 90 = 180

=> 3x = 180 - 90

=> 3x = 90

[tex] = > x = \frac{90}{3} [/tex]

=> x = 30 (Ans)

Answer:

x=30

Step-by-step explanation:

cuz that line is 180 degrees and using algebra you can subtract 54 from both sides and get 126 then u have to subtract the 36 from both side to geth 90 and then divide the 3x to get x by itself which would leave u with 30 so x=30

Subtracting fractions with unlike denominators

Answers

improper fraction - 37/15 or mixed fraction - 2 7/15

Luke and isabella make scale drawings.The scale from isabella's drawing is 6 m to 3 cm. The height of the fountain in isabella's drawing is 5 cm.The scale from the fountain to luke's drawing is 5m to 2cm. What is the height of the fountain in luke's drawing

Answers

Answer:

The answer is "[tex]2.5 \ cm[/tex]"

Step-by-step explanation:

While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is [tex]\frac{6}{3} =2[/tex], which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be [tex]\frac{5}{2} = 2.5 \ cm[/tex] in its width.

Mr. Henry spent $15 on a new hat this week. He learned that the same hat available on
sale at $12 last week. What was the percentage increase in the price of the hat this
week?

Answers

Last week was $12
This week is $15
%increase = (15-12)/12 = 25%

6x+?= 10x

6x−?= 2x

6x+?= 2x

6x−?= 10x

6x+?=- 10x

6x−?= x

6x+?= 0

6x−?= 6

6x+?= 10

6x−?= 4x - 10

Answers

Answer:

x=0

Step-by-step explanation:

Let's solve your equation step-by-step.

6x+x=10x

Step 1: Simplify both sides of the equation.

6x+x=10x

(6x+x)=10x(Combine Like Terms)

7x=10x

7x=10x

Step 2: Subtract 10x from both sides.

7x−10x=10x−10x

−3x=0

Step 3: Divide both sides by -3.

−3x/−3 = 0/−3

x=0

Now you can figure out which one is the best solution

Answer would be x=0
Hope you have a great day

makenzie earns 12.50 per hour being a lifeguard. how much will she earn in 5 days if she works 7 hours each day

Answers

5(12.50 x 7) = 437.5

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Choose a positive number. Using this number as
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and -2. Show all work.

Answers

Answer:

Step-by-step explanation:

Choose 3.

3^3 = 27;

3^0 = 1; and

3^(-2) = 1/9

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Answers

Answer: think its c

Step-by-step explanation:

I believe the answer is 18%

Need ASAP please help

Answers

Answer:

POSSIBLY 1

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST

Answers

The answer is d i can explain if you want or need

Please help me with this homework

Answers

Answer:

20

Step-by-step explanation:

use pythagorean theorem:

[tex]12^{2}[/tex] + [tex]16^{2}[/tex] = [tex]c^{2}[/tex]

144 + 256 = [tex]c^{2}[/tex]

400 = [tex]c^{2}[/tex]

[tex]\sqrt[ ]{400}[/tex] = c

20 = c

Solve for x. Show all your steps/work.
(¼)x + 1 = 22x

Answers

22x-1/4x= 1
21.75x=1
x=0.046

Im not sure tho:) but probably its correct
Answer is x= 4/87
Step 1: multiply 4 by both sides of the equation which is 22. Which gives you x+4= 88x
Step 2: Move the constant to the right-hand side and change its sign (it was +4 but it’s now -4) then move the variable to the left-hand side and change its sign (which is +88 but is now -88x)
Step 3: collect like terms which is 1-88x that gives you -87x= -4
Step 4: divide both sides by -87
That gives you the answer

1/4x +1= 22
Multiply by 4
X+4 = 88x
Move the terms
X- 88x= -4
Collect like terms
-87x=-4
Divide by -87
Equals 4/87

what is the measure of each exterior angle of a regular 67-gon?

Answers

360/67. Like 5.37. ...............

The measure of  each exterior angle of a regular 67-gon is 5.73

Given that,

There is the regular 67-gon.And, the sum of exterior angle is 360.

Based on the above information, the calculation is as follows:

[tex]= 360\div 67[/tex]

= 5.73

Learn more: brainly.com/question/17429689

slope: -1 intercept: -7.9

what is the slope of each line that passes through the points?

what is the answer

Answers

Answer:

-1

Step-by-step explanation:

Since the question LITERALLY stated the slope is -1, the slope is literally -1

Need help math question worth 30 points help plzzzzzz

Answers

Answer:

c

Step-by-step explanation:

because the real awnser is 57/4 but simpfly

Answer:

C) [tex]14\frac{1}{4}[/tex]

explanation:

[tex]4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}[/tex]

Help with number 8 please :)) <3

Answers

the answer is D. when B = 1 or -1

Answer:

A

Step-by-step explanation:

a = integer/whole number

Any whole number divided by 0 is 0.

0 is an integer/whole number.

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