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kvasek [131]
3 years ago
8

Jack is 20 miles due north of Edward. Sarah is due east of Edward. The angle between the direction of the shortest distance from

Sarah to Jack and due east is 25°. To the nearest mile, how far is Sarah from each man?

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Answer:

The distance between Sarah and Jack is approximately 22 miles

The distance between Sarah and Jack is approximately 9 miles

Step-by-step explanation:

The explanation in the attached file

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AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation if BC
sergejj [24]

Answer:

7x+5y-48=0

Step-by-step explanation:

Refer the attached figure .

We are given a line AB

Point A=(x_1,y_1) = (-3,-1)

Point B=(x_2,y_2) = (4,4)

Formula for slope 'm' when two points are given :

m=\frac{y_2-y_1}{x_2-x_1}

Substituting thew values

m=\frac{4-(-1)}{4-(-3)}

m=\frac{5}{7}

Since we are given that AB is perpendicular to BC

So, By property - perpendicular slopes are negative reciprocals of each other.

\Rightarrow m_1\times m_2 =-1

\Rightarrow \frac{5}{7}\times m_2 =-1

\Rightarrow m_2 = \frac{-7}{5}

So, Slope for line BC : m_2 = \frac{-7}{5}

Point B = (4,4)

Formula of equation of line : y-y_1=m(x-x_1)

y-4=\frac{-7}{5}(x-4)

5(y-4)=-7(x-4)

5y-20=-7x+28

7x+5y-20-28=0

7x+5y-48=0

Hence the equation of line BC : 7x+5y-48=0

5 0
3 years ago
The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the c
Lena [83]

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

3 0
3 years ago
Use the slope formula to find the slope of the line through the points (2,1) and (8,7)
allochka39001 [22]

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

m = (y2-y1)/(x2-x1)

m=(7-1)/(8-2)

m=6/6

m = 1

8 0
2 years ago
Hi, I'm often really slow at learning math and my condition makes it harder, can someone help me?
NARA [144]
The answer: 0, 4/5 and 5


Explanation: first, we factor out 2x and get: 2x(5x^2-29x+20)=0

In order for this equation to be equal to zero, either 2x must equal to zero or (5x^2-29x+20) must equal to zero

Having said that, if:
2x = 0
X=0

If:
(5x^2-29x+20) = 0
X=4/6, x=5

7 0
2 years ago
What two numbers will -2.5 be in between? <br> -2 and 1 <br><br> or<br><br> -3 and 2
tangare [24]

Answer:

It would be between -3 and 2

Step-by-step explanation:

cause -2.5 is greater than -3 and its less than 2

8 0
3 years ago
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