1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hatshy [7]
3 years ago
12

. [15 points] Alex is at the northernmost point of a circular parking lot with radius 26 feet. Dylan stands 22.4 feet west and 2

7 feet south of the southernmost point of the parking lot. Dylan walks due north until he hits the edge of the parking lot. Then, he turns and walks in a straight line towards the easternmost point of the parking lot. How close does Dylan get to Alex

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

31.925 ft

Step-by-step explanation:

A diagram is needed to visualize Dylan's movement to Alex see below

thus (-22.4)² + y²  = 26²

y² = 26² - (22.4)² = 174.24

y = -√174.2 = - 13.2 ft note due south

closest point at intersection

3/11*  ( x- 26) = -11/3 x * + 26

3/11 x - 78/11 = -11/3x + 26

3/11 x +11/3x = 26 + 78/11

130/33 x = 364/11

x = 364/11 * 33/130 = 8.4

then y = 3/11 * (x -26)

      x = 8.4 substitute, gives y = 3/11 * (8.4 -26) = -4.8

distance from (8.4 , -4.8) to (0 , 26)

√[(0 -8.4)² +  ( 26-(-4.8))² ] = √[( -8.4)² +  ( 30.8)² ] = 31.925 ft

You might be interested in
What is the median of the data set?<br><br><br><br> 9<br> 8.5<br> 8<br> 10
Allushta [10]

Answer:

8.5

Step-by-step explanation:

When you write out the data set, it looks like this:

5, 8, 8, 8, 8, 9, 9, 9, 10, 10

The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)

6 0
2 years ago
Read 2 more answers
Helpppppppppppppppppppppppp
katovenus [111]

Answer:

The car gets 30 miles to the gallon.  After the car has traveled 80 miles , 2 2/3 gallons have been consumed.

Step-by-step explanation:bro trust me

5 0
3 years ago
17.
kifflom [539]

g \geqslant 5
A
3 0
3 years ago
A store sold 28 pairs of cross-trainer shoes for a total of $2,220. Style A sold for $70 per pair and Style B sold for $90 per p
icang [17]

Answer:

Style A sold 15 pairs while Style B sold 13 pairs

Step-by-step explanation:

Let the number of Style A pairs be A.

Let the number of Style B pairs be B.

The store sold 28 pairs of cross-trainer shoes for a total of $2,220 and Style A sold for $70 per pair while Style B sold for $90 per pair.

This implies 2 things:

A + B = 28 ________________ (1)

and

(70*A) + (90*B) = 2220

=> 70A + 90B = 2220 ________(2)

We now have two simultaneous equations:

A + B = 28 ________________ (1)

70A + 90B = 2220 __________(2)

From (1):

A = 28 - B ________________ (3)

Put (3) in (2):

70(28 - B) + 90B = 2220

1960 - 70B + 90B = 2220

1960 + 20B = 2220

Collecting like terms:

20B = 2220 - 1960

20B = 260

B = 260 / 20

B = 13

Therefore:

A = 28 - 13 = 15

Style A sold 15 pairs while Style B sold 13 pairs.

8 0
3 years ago
Find the slope of the line passing through the two points.
GalinKa [24]

The fromula of a slope:

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

a) (-1, -8), (-7, -4)

substitute

m=\dfrac{-4-(-8)}{-7-(-1)}=\dfrac{-4+8}{-7+1}=\dfrac{4}{-6}=-\dfrac{2}{3}

b) (2.1, 3.8), (3.1, 7.6)

substitute

m=\dfrac{7.6-3.8}{3.1-2.1}=\dfrac{3.8}{1}=3.8

4 0
3 years ago
Other questions:
  • Jess had three more nickels than dimes for a total of $1.50 how many of each coin did he
    6·1 answer
  • On the grid, draw the image of shape R after the transformation represented by the matrix ( - )).
    5·1 answer
  • How do i solve -(1+7x)-6(-7-x)=36
    10·2 answers
  • Aldo deposits $6000 into an account that pays simple interest at a rate of 4% per year. how much interest will he be paid in the
    9·1 answer
  • The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i
    7·1 answer
  • Suzy poured a 16-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write the ratio
    9·1 answer
  • Plz giving brainiest hurry fast plzz i beg
    9·1 answer
  • Help Please I need the Answer!!!!!
    12·2 answers
  • What is the main function of the peripheral nervous system?
    7·2 answers
  • Help me with my work, please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!