All categories

3 years ago

A drawing of the flag of puerto rico is shown below. Assume that the triangle in the flag is isosceles as shown

Mathematics

1 answer:

torisob [31]3 years ago

4 0

63

You take 180 subtract 54 and divide it by 2 that gives you the answer.

You might be interested in

Noelle has set a goal to run more than 50 mi this month. So far, she has run 10 mi. Her average running speed is 5 mph.

Vladimir79 [104]

Answer:

To meet her goal, Noelle must run more than $8\ hours$ the rest of the month

Step-by-step explanation:

Let

h-------> the number of hours Noelle runs for the rest of the month

we know that

The inequality that represent the situation is

$10+5h>50$

Solve for h

Subtract 10 both sides

$5h> 50-10$

$5h> 40$

Divide by 5 both sides

$h> 8\ hours$

3 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

Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

Reika [66]

N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19 |subtract n² from both sides

n = 4n - 15 |subtract 4n from both sides

-3n = -15 |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.

6 0

3 years ago

Who ever answers gets points

MAXImum [283]

Hello! How are you today?

6 0

3 years ago

List the like terms of the expression 3n+5p+2+n

IgorC [24]

Answer:only the ones that have letterers *m* are like terms

Step-by-step explanation: for example

5j+9u+3+6n+N

5j 9u 6n n are all like terms

4 0

4 years ago