Factor 5x² - 26 + 24

A point on the top of the Leaning Tower of Pisa is shifted about 13.5 ft horizontally compared to the tower's base. To the neare

madam [21]

Answer:

$4.15^0.$

Step-by-step explanation:

Given,

Leaning Tower of Pisa is shifted, P = 13.5 ft

Height of Leaning Tower of Pisa, B = 186 ft

Now, degree of tilt of the tower from vertical

$\tan \theta = \dfrac{P}{B}$

$\tan \theta = \dfrac{13.5}{186}$

$\tan \theta = 0.0725$

$\theta = 4.15^\circ$

Hence, angle of tilt is equal to $4.15^0.$

4 0

3 years ago

How do you do 3x (3X+6) please list how to do in order please. thanks!

Nadusha1986 [10]

Do what? If you mean to find when it equals zero...

By inspection you can see that if x=0 or 2 the expression is equal to zero...

You multiply each term in the parentheses by the term outside the parentheses...like:

3x*3x+3x*6 which is equal to:

9x^2+18x If you meant to expand it....

9x(x+2) If you meant to factor it completely

8 0

3 years ago

Read 2 more answers

American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 53.0% of American

FrozenT [24]

Solution :

a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.

Here, the landline phone service is p = 53.0%

n = 8

Therefore, q = 1 - p

= 1 - 0.53

= 0.47

here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.

b). Let x be the number of household in the sample group having landline phone service.

Probability that none of the household in the sample group have a landline service is

= P( x = 0)

$=^8C_0 (0.53)^0(0.47)^8$

= 0.002 (using the binomial calculation )

c). Probability that exactly 5 of the household in the sample have a landline service is given by :

P(x = 5)

$=^8C_5 (0.53)^5(0.47)^3$

= 0.24

8 0

3 years ago

Write the number as hundredths in fraction form and decimal form. 9/10

Agata [3.3K]

0.09

hope this helped!!

3 0

4 years ago

Write an equation of the line perpendicular to the line 8x+15y=12 and containing the point (11,17) write the answer in standard

jek_recluse [69]

The slope of a line perpendicular to another line has a slope which is the negative reciprocal of that line or:

m1 = -1/m2

First, we convert the given equation into slope-intercept form of a line: y = mx + b

8x + 15y = 12

15y = -8x + 12

y = (-8/15) x + 0.8

m1 = -8 / 15

Therefore the slope of the perpendicular line is:

m2 = 15 / 8

Since the perpendicular line crosses the point (11, 17), therefore using the slope formula:

m = (y2 – y1) / (x2 – x1)

15 / 8 = (y2 – 17) / (x2 – 11)

1.875 (x2 – 11) = y2 – 17

1.875 x2 – 20.625 = y2 – 17

y2 = 1.875 x2 – 3.625

y = (15/8) x – 3.625

multiplying both sides by 8:

8y = 15x – 29

rewriting in standard form:

<span>15x – 8y = 29 (ANSWER)</span>

3 0

3 years ago

Factor 5x² - 26 + 24​

Factor 5x² - 26 + 24