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3 years ago

11

What is the distance to the earth’s horizon from point P?

2 answers:

slava [35]3 years ago

8 0

From P to the horizon must be tangent to the curvature of the earth...So P to the center of the earth is the hypotenuse...From the Pythagorean Theorem...

h^2=x^2+y^2 in this case

(3959+15.6)^2=x^2+3959^2

x^2=(3974.6)^2-(3959)^2

x^2=123764.16

x=√123764.16 mi

x≈351.80 mi (to the nearest one-hundredth of a mile)

uranmaximum [27]3 years ago

8 0

Answer: 351.8

Step-by-step explanation:

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Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago

vesna_86 [32]

Answer:

13.73 in^2 because the circle's area is 50.27 in^2

5 0

3 years ago

A Ferris wheel can accommodate 65 people in 20 minutes.How many people could ride the Ferris wheel in 6 hours? What is the rate

goldfiish [28.3K]

65 people=20 minutes
20*3=60 minutes which is 1 hour
65*3=195 people per hour (This is the rate per hour)
195*6=1,170 people per six hours

7 0

3 years ago

1. Which angle is congruent to ∠1 ?

Nonamiya [84]

The angles that are congruent to one are 4,5, and 8. So the answer would be B. 5.

5 0

3 years ago

Read 2 more answers

Through (8,5) ; Perpendicular to 2x-y=7<br>Write in Slope-Intercept form in the end

Maru [420]

The real answer is y=-1/2+9 !

8 0

3 years ago