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
Rae earns $60 for playing music on saturday nights at the local coffee house. she makes an average of $5.25 in tips per hour. wr
insens350 [35]
Okay. So for this equation, she would make $60, plus $5.25 in tips each hour. So for this, she would get $60 + 5.25h. Plug in 4 hours, and she would make $21 off of tips, plus the $60, which brings her up to $81 total. The answer is C.
6 0
3 years ago
How do you know where to put the parentheses in an equation?
ziro4ka [17]
Parentheses are used to identify which numbers you should add,multiply .ect first. So If i had

12-(3+1)=x    

then you would want to solve 3+1 before you subtract 12.
7 0
3 years ago
Read 2 more answers
The perimeter of a square is 36<br>what is the area of the square?​
zmey [24]

Answer: 81 units²

Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.

Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.

Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.

So the area of a square that has a perimeter of 36 is 81 units².

6 0
3 years ago
HEEELР ПОЖАЛУЙСТА HELР
seropon [69]

So for question one (about the equilateral triangle), you know any triangle equals 180 degrees. So an equilateral triangle has all equal angles, so 180/3 would equal 60 degrees for each angle.

Now for the first triangle out of the three isosceles.

You should know that there are two equal sides and one side that is not equal in a isosceles triangle.

So if one side is 34 degrees, and the other two are equal, then you first subtract 34 degrees from 180 degrees, because again, all triangles have 180 degrees. So 180-34 would equal to 146 degrees left. Now you divide 146 by two, because the other two angles are equal to each other. So 146/2 = 73 degrees for each of the remaining angles.

For the second triangle out of the three isosceles.

First, let's just calculate half of the triangle first. You already know two angles, 30 and 90 degrees (hence the 90 degree symbol).

So 30 + 90 would equal 120 degrees in total out of 180 degrees (because 1 triangle = 180 degrees).

So if you subtract 180-120 or 120 + ? = 180 to know the remaining angle of the half of the triangle, you would get 60 degrees left. And that also goes with the other side of the top angle of the entire triangle, so your answer for the second one would be 60 degrees. :-)

For the third triangle out of the three isosceles.

You know one angle is 75 degrees.

If you turn your screen a little bit (like about 90 degrees) to the left, you would see that two sides (with the x degree in the middle) is equal. So then know you know the other side of the triangle would also be 75 degrees, because one side that is equal has 75 degrees.

Now you have two 75 degrees, you add 75 + 75, which gives you 150 degrees now.

So obviously again, 180 degrees is the total amount of degrees in a triangle, and you want to know the last degree that would make the triangle equal to 180 degrees out of 150 degrees, so 180-150 or 150 + ? = 180, which gives you 30 degrees for x for the third isosceles triangle.

try doing the fourth one by yourself lol

5 0
3 years ago
Please Help! Which of the following equations, when graphed, results in the parabola depicted above? (I'll put a screenshot of t
kykrilka [37]

Answer:

B.

Step-by-step explanation:

The zeroes are 0 and 4 and the vertex is at (2, -4).

f(x) = (x - 2)^2 - 4

5 0
2 years ago
Read 2 more answers
Other questions:
  • If f(x)=4^x-8 and g(x)=5x+6 find (f+g)(x) ANSWER ASAP PLS
    13·2 answers
  • Find the sum.178,399.2+45.38
    7·2 answers
  • Please help me and show how you worked out.
    8·1 answer
  • Need help please show how you did it.
    9·1 answer
  • There are 16 squares and I have to place 4 balls in 4 different squares. I can't place 2 balls in the same square. How many comb
    12·1 answer
  • A cube with 2 inch sides is placed on a cube with 3 inch sides. Then a cube with 1 inch sides is placed on the 2 inch cube. What
    14·1 answer
  • Sprout problem: California farmer of sprouts deals mainly with alfalfa sprouts and brussels sprouts. He has hired you to optimiz
    10·1 answer
  • Describe 2 ways to find the slope of a line. I'll give you Brainliest if you answer.
    11·1 answer
  • If f(x) = 2x + 3 and g(x) = 3x - 9, find (f + g)(x).
    13·1 answer
  • A group of friends were working on a student film. They spent $949 on equipment, which was 73% of their total budget. What was t
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!