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
sveticcg [70]
3 years ago
9

The highway forming three cities form a right triangle.Walnut Grove is 91.7 miles from Pecan City and 52.4 miles from Almondvill

e. Pecan City is 75.3 miles from Almondville. A road is being planned to connect Almondville to the highway running between Walnut Grove and Pecan City. What is the shortest length possible for that road? Round your answer to the nearest tenth.

Mathematics
2 answers:
evablogger [386]3 years ago
8 0

Answer: 43.02 miles (Approx)

Step-by-step explanation:

Let the entire situation is shown by a triangle CAB,

In which A shows Almondville, B shows Walnut Grove and C shows Pecan City.

Also, D\in BC such that AD\perp BC

Thus, According to the question, AB = 52.4 miles

AC = 75.3 miles and BC = 91.7 miles.

And, We have to find out AD = ?

Since, CAB and CDA are right angle triangles.

Where, ∠CAB≅∠CDA

∠ACB≅∠ACD

Thus, By AA similarity postulate,

\triangle CAB\sim \triangle CDA

Therefore, by the property of similarity,

\frac{AB}{DA} = \frac{CB}{AC}

⇒ \frac{52.4}{DA} = \frac{91.7}{75.3}

⇒ DA= \frac{75.3\times 52.4}{91.7}

⇒  DA= \frac{3945}{91.7}

⇒  DA= 43.0285714286≈ 43.02 miles

Thus, the shortest length possible for that road= 43.02 miles (approx)

fenix001 [56]3 years ago
6 0

Answer:

The shortest length possible for that road is 43.0 miles

Step-by-step explanation:

Please, see the attached file.

Thanks.

You might be interested in
What is the value of X?​
lozanna [386]

since all sides are equal, which means all angles must also be equal to one another

all angles =60°

solving 7x-3=60

7x=63

x=9

similarly 11 y+5=60

11y=55

y=5

5 0
3 years ago
Sixteen thousand, four hundred eighty-two. Write this number in standard
Anestetic [448]

Answer:

16482 this is the answer

7 0
1 year ago
How many solutions does this system have?​
ladessa [460]

Answer:

One

Step-by-step explanation:

The solution to the system is (1, 5)

5 0
2 years ago
Read 2 more answers
Two numbers have a difference of 0.7 and a sum of 1. what are the numbers?
Fofino [41]
<span>In order to determine the value of the numbers, we can set up algebraic equations to solve. For this case, we need to set up two equations since we have two unknown numbers. We do as follows:
 let x = first number and y = second number
 From the problem statement, we set up equations.
 Equation 1 - the numbers have a difference of 0.7
 x - y = 0.7
 Equation 2 - the numbers have a sum of 1
 x + y = 1
 Solving for x and y via substitution method,
 x - y = 0.7
(1-y) - y = 0.7
1 - 2y = 0.7
-2y = 0.7 - 1 = -0.3
y = 0.15 or 3/20
 x - 0.15 = 0.7
x = 0.85 or 17/20
 Thus, the two numbers are 0.15 and 0.85.</span>
6 0
3 years ago
What is the reciprocal of<br> 5/3<br> Submit
scoray [572]

Answer:

10/6

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • $30.50 - $17.79= what<br> Solve this problem in two diffrent ways (5th grade math)
    8·2 answers
  • Which of the following lists is ordered from least to greatest?
    15·1 answer
  • Find the volume of this right triangular
    8·1 answer
  • The difference of sixteen and four is greater than ten
    5·1 answer
  • Pls help i keep getting it wrong.
    11·1 answer
  • -2x + |4n - 2|<br> x = -3<br> n = 2
    6·1 answer
  • A movie theater is showing 1 musical and 7 other movies (8 movies in total). Each type of movie is equally likely to be chosen.
    8·1 answer
  • Solve the inequality. Graph the solution.<br><br> −8&lt;−1/3 x
    10·1 answer
  • Please delete my question?
    11·1 answer
  • If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!