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3 years ago

Pls help right now for 30 points

Mathematics

1 answer:

mixas84 [53]3 years ago

8 0

Use the edges of the triangles to determine which ones are closest together for the smallest of furthest apart for the largest.

1. Smallest = b

Largest = c

2. Smallest = f

Largest = g

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Pls answer (no bit file things) thank you :)

ozzi

Answer:

bit you thought this was an answer

5 0

3 years ago

What is the value of a if a is equal to a×a×a=a+a+a

bagirrra123 [75]

Answer:

a = ±sqrt(3)

Step-by-step explanation:

a×a×a=a+a+a

Simplifying each side

a^3 = 3a

Divide each side by a

a^3 /a = 3a/a

a^2 = 3

Take the square root of each side

sqrt(a^2) = ±sqrt(3)

a = ±sqrt(3)

8 0

3 years ago

Read 2 more answers

A farmer owns a total of 10 acres of land. The land is separated into 4 2/3 equally sized sections. How many acres are in each s

Ostrovityanka [42]

Answer:

I will solve the question and answer

7 0

3 years ago

Let f be defined by the function f(x) = 1/(x^2+9)

riadik2000 [5.3K]

(a)

$\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}$

Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :

$\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt$

$=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}$

(b) The series

$\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}$

converges by comparison to the convergent p-series,

$\displaystyle\sum_{n=3}^\infty\frac1{n^2}$

$\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}$

converges absolutely, since

$\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}$

That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.

5 0

3 years ago

During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 7

kondaur [170]

Answer:

13 centimeters per day.

Step-by-step explanation:

We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.

To find the water level increase rate per day, we will divide total increase by total days as:

$\text{Water level increase rate per day}=\frac{78\text{ cm}}{6\text{ days}}$

$\text{Water level increase rate per day}=\frac{13\text{ cm}}{\text{ day}}$

Therefore, the water level increase rate is 13 centimeters per day.

5 0

3 years ago