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Katyanochek1 [597]
3 years ago
6

Convert to a mixed number in simplest form 51/13​

Mathematics
2 answers:
Nata [24]3 years ago
5 0

Answer:

3\frac{12}{13}

Step-by-step explanation:

51 / 13 = 3.9231 = 3

51 - (13 x 3) = 12

3\frac{12}{13}

seropon [69]3 years ago
3 0

Answer:

3 12/13

Step-by-step explanation:

51/13

13 goes into 51 3 times

13*3 =39

51-39 =12

The 12 goes over the denominator

3 12/13

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The most general antiderivative of the given function g(t) is (8t + t³/3 + t²/2 + c).

The antiderivative of a function is the inverse function of a derivative.

This inverse function of the derivative is called integration.

Here the given function is: g(t) = 8 + t² + t

Therefore, the antiderivative of the given function is

∫g(t) dt

= ∫(8 + t² + t) dt

= ∫8 dt + ∫t² dt + ∫t dt

= [8t⁽⁰⁺¹⁾/(0+1) + t⁽²⁺¹⁾/(2+1) + t⁽¹⁺¹⁾/(1+1) + c]

= (8t + t³/3 + t²/2 + c)

Here 'c' is the constant.

Again, differentiating the result, we get:

d/dt(8t + t³/3 + t²/2 + c)

= [8 ˣ 1 ˣ t⁽¹⁻¹⁾ + 3 ˣ t⁽³⁻¹⁾/3 + 2 ˣ t⁽²⁻¹⁾/2 + 0]

= 8 + t² + t

= g(t)

The antiderivative of the given function g(t)is (8t + t³/3 + t²/2 + c).

Learn more about antiderivative here: brainly.com/question/20565614

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The maximum speed of China’s CRH380A train is 4.873 × 102
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Answer:

The maglev train can reach a top speed of 431 km/h (268 mph).

Step-by-step explanation

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3 years ago
Write a function rule for the statements
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Richard was thinking of a number. Richard adds 9.5 to the number, then doubles the result to get an answer of 59.4. Form an equa
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The answer is 49.9 because he thought of a number and added 9.5 and the result was 59.4 then you should do 59.4-9.5 and the answer is 49.9
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I will be marking brainliest please help me with these questions.
krek1111 [17]

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

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3 years ago
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