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tatuchka [14]
3 years ago
8

The length of the minute hand is 150% of the length of the hour hand. In 2 hours, how much farther does the tip of the minute ha

nd move than the tip of the hour hand? Round your answer to the nearest tenth. mm
Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0

The question seems incomplete, as the length of the hour hand isn't given ;

If the tip of the hour hand is taken as 30mm

Answer:

534.1 mm

Step-by-step explanation:

In 2 hours ; cycle performed :

2/ 12

Circumference of a circle = 2 * pi *r

Circumference = 2 * pi * 30 = 60pi

Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi

The minute hand travels 2 comply cycle in 2 hours

150% taller than short hand :

1.5 * 30 = 45 mm

Distance traveled : 2 (2 * pi * 45) = 180pi

(180pi - 10pi) = 170pi

170π = 534.07075

= 534.1 mm

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mrs_skeptik [129]

Answer:

a) Josh likely made the negative and positive multiplication error.

b) -20a-8+12b

= -4(5a+2-3b)

Step-by-step explanation:

To check if you are correct, you can always simplify it again:

-4(5a+2-3b)

=-20a-8+12b

Remember:

Negative times negative equals to positive, negative times positive equals to negative!

I hope this is helpful! :)

4 0
3 years ago
please answer this question im very desperate and if you get it right in the next 15 mins i will mark you brainliest tysmm :D
Greeley [361]

Answer:

117

Step-by-step explanation:

4 0
3 years ago
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A garden has a circular border and a fountain in the center. I measured the distance from one side of the garden to the other, g
Snezhnost [94]

Answer:

The length of the border is approximately 4 feet.

Step-by-step explanation:

Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:

length = 2*\pi*radius

Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:

length = 2*\pi*0.6\\length = 1.2*\pi\\length = 3.8

The length of the border is approximately 4 feet.

7 0
3 years ago
1. A Babylonian tablet found in 1936 shows that the Babylonians sometimes used a more accurate value of π than 3. They determine
madreJ [45]

Answer:

<h2>1/4</h2>

Step-by-step explanation:

Area of a circle is given as πr² and its circumference is expressed as 2πr.

If the babylonians determined the area of a circle by taking it as equal to the square of the circle’s circumference then;

Area of circle = (circumference of a circle)²

πr² = (2πr)²

πr² = 4π²r²

Dividing both sides of the equation by πr² we have;

\frac{\pi r^{2}  }{\pi r^{2}  } =\frac{4\pi^{2}  r^{2}  }{\pi r^{2}  }\\1 = 4\pi \\\pi =\frac{1}{4}

The value of π this yields is 1/4

6 0
3 years ago
2. The sum of the measures of angle X and angle Y is 90. If the measure of angle X'is 30 less than
dimulka [17.4K]

Answer:

The measure of angle x is 50 degrees

Step-by-step explanation:

we know that

x+y=90 ----> equation A

x=2y-30 ----> equation B

solve the system by substitution

substitute equation B in equation A

(2y-30)+y=90

solve for y

3y=90+30

3y=120

y=40^o

Find the measure of angle x

x=2(40)-30=50^o

therefore

The measure of angle x is 50 degrees

5 0
3 years ago
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