The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

2 years ago

Help i need the answers by tomorrow

miss Akunina [59]

8 inch radius:

area: 200.96

circum: 50.25

12 yd rad:

area: 452.16

circum:75.36

20 ft dia:

area: 314

circum:62.8

36 dia:

area:1017.36

circum: 113.04

5 0

3 years ago

Quick plz help asap marking brainliest for first answer as long as you include steps !!!

Akimi4 [234]

Answer:

a=2.48

c=9.52

Step-by-step explanation:

a+c=12

4a+7.5c=72.5 Given

a+c=12

-4a-7.5c=-72.5 multiply the equation by negative 1

-3a-6.5c=-60.5 simplify

-3a=-60.5+6.5c add 6.5c to both sides

a=-20.17+2.17c divide it by 3

now you would take that equation and plug it into an equation you already have since you have something to plug in for a, the easiest one to do is a+c=12

(-20.17+2.17c)+c=12 plug in the equation

-20.17+3.17c=12 simplify by solving for c

3.17c=30.17 add 20.17 to both sides

c=9.52 divide both sides by 3.17

now since you have found c, you can plug it in to you equation to solve for a now (use the ones from the second step). I am using the equation a+c=12.

a+9.52=12 plug in the variable and solve for a

a=2.48 subtract 9.52 to both sides

a=2.48

c=9.52

7 0

3 years ago

If possible, draw a line of symmetry in each of the following figures or words. If it is not possible to draw a line of symmetry

Marrrta [24]

Answer:

a) none

b) vertical through the middle

c) horizontal through the middle

d) none

Step-by-step explanation:

a) A repeated asymmetrical pattern rarely has a line of symmetry. (I can't think of a case where it does.)

__

b) This figure has left-right symmetry about its centerline. (In general, a light bulb will not, because the screw threads are asymmetrical.)

__

c) Each of the letters is symmetrical about its horizontal centerline, so the word is as well.

__

d) The letter S is symmetrical about its center point, but not about any horizontal or vertical line. This word is not symmetrical about any line.

__

8 0

3 years ago

When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probabili

svlad2 [7]

Critical probability is the essentially cut-off value. The critical probability when the confidence level of 58% is 0.79.

<h3>What is the critical probability?</h3>

Critical probability is the essentially cut-off value that defines the region where the test statistic is unlikely to lie.

As it is given that the confidence level is 58%. therefore, in order to calculate the critical probability, we need to calculate the margin of error within a set of data, and it is given by the formula

$\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}$