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Ugo [173]
3 years ago
7

2/3 of a full rotation

Mathematics
2 answers:
Vlad [161]3 years ago
6 0
A full rotation is represented by 360 degrees or 2pi radians, so

2/3 of a full rotation is repr. by (2/3)(360 deg) or (2/3)(2pi rad).  (Simplify these.)

bagirrra123 [75]3 years ago
4 0

Answer:

<h2>2/3 of a full rotation<u><em> is 240°.</em></u></h2>

Step-by-step explanation:

A full rotations is doing spinning 360° around a fixed point which is called "center".

So, if a full rotation is 360°, how many degrees would be 2/3 of 360°?

To answer this question, we just need to multiply the fraction with the full rotation:

\frac{2}{3}360\°=240\°

Therefore, 2/3 of a full rotation is 240°.

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Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back
snow_lady [41]

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

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A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

7 0
3 years ago
The triangles are congruent by SSS.
Marysya12 [62]

Answer:

a and d

Step-by-step explanation:

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8 0
3 years ago
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A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish
nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

y = ab^x

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

b = 1 - r

So, we have:

b = 1 - 8\%

Express as decimal

b = 1 - 0.08

b = 0.92

In y = ab^x

a =150

y = 30

b = 0.92

So, we have:

30 = 150 * 0.92^x

Divide both sides by 150

0.2 = 0.92^x

Take log of both sides

log(0.2) = log(0.92^x)

Apply law of logarithm

log(0.2) = x\ log(0.92)

Make x the subject

x = \frac{log(0.2)}{log(0.92)}

x = \frac{-0.6990}{-0.0362}

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

3 0
3 years ago
Let ​ f(x)=x2−8x+19 ​ . What is the minimum value of the function?​ Enter your answer in the box. ​
ella [17]
The minimum value is 3.
6 0
3 years ago
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How do you solve 3x+7=x
vredina [299]
3x + 7 = x

First, subtract 3x from both sides. / Your problem should look like: 7 = x - 3x
Second, simplify x - 3x to -2x. / Your problem should look like: 7 = -2x
Third, divide both sides by -2. / Your problem should look like: \frac{7}{-2} = x
Fourth, simplify \frac{7}{-2} to -\frac{7}{2} / Your problem should look like: - \frac{7}{2} = x
Fifth, switch sides. / Your problem should look like: x = -\frac{7}{2}

Answer as fraction: -\frac{7}{2}
Answer as decimal: -3.5


8 0
3 years ago
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