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
sergeinik [125]
3 years ago
7

Mario’s car has run out of gasoline. He walks 16 km west and then 12 km south looking for a gasoline station. If he is now h km

directly from his starting point, find the value of h
Mathematics
2 answers:
Masteriza [31]3 years ago
4 0

Answer:

h = 20 km

Step-by-step explanation:

Mario's path forms a right triangle with legs 16 km and 12 km and hypotenuse h. Let's use the Pythagorean Theorem (a² + b² = c²) to solve for h.

16² + 12² = h²

256 + 144 = h²

400 = h²

h = 20 km

blagie [28]3 years ago
3 0

Answer:

20 kilometers

Step-by-step explanation:

Mario will form a right triangle. The legs of the right triangle will be 16 and 12, from the 16 kilometers west and 12 kilometers south he walked.

Since it is a right, triangle, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

We know that 16 and 12 are the legs. h will be the hypotenuse.

a=16\\b=12 \\c=h

Substitute the values into the formula.

16^2+12^2=h^2

Now we must solve for h by isolating it. First, evaluate the exponents on the left side.

⇒ 16²=16*16=256

256+12^2=h^2

⇒12²=12*12=144

256+144=h^2

Add 256 and 144.

400=h^2

h is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

\sqrt{400}=\sqrt{h^2}

\sqrt{400}=h

20=h

h= 20 km

The value of h is 20 kilometers.

You might be interested in
An employer said the each worker receives $24 and fringe benefits for every $100 in wages at this rate what wages were earned by
Fynjy0 [20]

Answer:

approximately 43

Step-by-step explanation:

if you make fringe benefits for every 100 dollars that would mean you would have to do this 43 times in order to get the amount to 5,100

8 0
3 years ago
Factor 8x^3y + 38x^2y - 10xy
Sophie [7]

Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

4 Split the second term in 4x^2+19x-5 into two terms.

2xy(4x^2 +20x−x−5)

5 Factor out common terms in the first two terms, then in the last two terms.

2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

2xy(x+5)(4x−1)

7 0
2 years ago
What is the answer for this equation? <br> -6x = -36
Anuta_ua [19.1K]
-6x=-36 then u divide by -6 so it is...
x=6
5 0
3 years ago
Read 2 more answers
The value of a house is increasing by ​$2500 per year. If it is worth ​$190,000 ​today, what will it be worth in four ​years?
sineoko [7]

Answer:

5000

Step-by-step explanation:

i dont know this answer but i try that

3 0
3 years ago
Which value for y makes the sentence true? 8 - y = 6 - 1 A. 4 B. 5 C. 1 D. 3
Oksi-84 [34.3K]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Pl help me <br> WILL GIVE BRAINLIEST
    14·1 answer
  • Determine whether the triangles are similar. If so, write a similarity statement. answers:: A) The triangles are similar; ΔQRS ∼
    10·1 answer
  • Ben sells his 8X10 photographs for $50. He sells 40 photographs a month at this price. If he applies a 10% discount to the price
    5·1 answer
  • What is 7,539 increased by 3200?
    11·2 answers
  • Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices
    12·2 answers
  • During a cold front, the temperature in Denver, Colorado, dropped from 7 degrees C to -5 degrees C. What was the change in the t
    5·1 answer
  • Find the radius of the circle whose equation is x2 - 10x + y2 - 10y=-1.<br> 1<br> 7<br> 49
    6·1 answer
  • Which expression equals sixty? 6 × (3 + 7) 6 × 3 + 7 6 + 7 × 3 19 - (5 + 5) × 7
    7·2 answers
  • PLEASE HELP!!!!!!!!!!!!! ​
    15·2 answers
  • Geometry question who can help so it ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!