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tiny-mole [99]
3 years ago
10

Thirty and 25 hundredths in decimal form

Mathematics
1 answer:
Zolol [24]3 years ago
4 0
30.25. Thirty is the whole number, therefore it goes before the decimal. The 25 hundredths come after the decimal. The first Slot after the decimal is the tenths. And the second is the hundredths. .25 is twenty five hundredths.
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Estimate 7 x 522 ...
kolbaska11 [484]
Here we will tell you what 7 percent of 522 (7% of 522) is and then show you how we calculated it. The answer to "What is 7 percent of 522?" is:

36.54
8 0
3 years ago
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A cup of coffee at 93 degrees Celsius is placed in a room at 23 degrees Celsius. Suppose that the coffee cools at a rate of 1 de
Alinara [238K]

Answer:

Step-by-step explanation:

The rate of change of temperature of the coffee with respect to time is expressed by the differential equation

dT/dt=k(T−A) when k = -1 and A = 23. The equation will become:

dT/dt = -(T-23)

If the coffee cools at the rate of 1°C per minute, then dT/dt = -1 and T = 70

Substituting into the equation:

-1 = k(70-23)

-1 = 47k

k = -1/47

k = -0.0213

Substituting k = -0.0213 into the original equation, the differential equation will be:

dT/dt=k(T−A)

dT/dt = -0.0213(T-23)

dT/dt = -0.0213T+0.489

To get the value of T, we will use variable separable method

dt = dT/-0.0213T+0.489

Integrate both sides

t = -0.0213ln(-0.0213T+0.489)

At t = 1 minute

1 = -0.0213ln(-0.0213T+0.489)

1/-0.0213 = ln(-0.0213T+0.489)

-46.95 = ln(-0.0213T+0.489)

Apply exp to both sides

e^-46.95 = e^ln(-0.0213T+0.489)

4.073×10^-21= -0.0213T+0.489

-0.0213T = 4.073×10^-21-0.489

-0.0213T = -0.489

T = 0.489/0.0213

T = 22.96°C

5 0
3 years ago
Three of exterior angle of n-sided polygon are 50° each two of it's interior angle are 127° and 135° and the remaining interior
irga5000 [103]

Answer:

The value of n is 21.

Step-by-step explanation:

We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.

As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).

And, the exterior angle = 180° - the interior angle.

So, according to the question;

(3 \times 50) + (180-127) + (180 - 135) + (n - 5)\times (180-173) =360

150 + 53 + 45 + 7(n - 5) = 360

248 + 7n - 35 = 360

213 + 7n = 360

7n = 360 - 213

7n = 147

n = \frac{147}{7}

n = 21

Hence, the value of n is 21 and this is a 21-sided polygon.

4 0
3 years ago
What is the relationship between the number of vertices in each polygon and the number of isosceles triangles?
melisa1 [442]

no. of vertices = no. of isosceles triangle

5 0
2 years ago
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The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f
aksik [14]

Answer:

\frac{x^2}{36} + \frac{y^2}{100} = 1

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Where:

b =6 ---- height

a = 0.5 * 20 =10 --- width

So:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1

\frac{x^2}{36} + \frac{y^2}{100} = 1

3 0
2 years ago
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