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
kari74 [83]
3 years ago
6

The length of one leg or a right triangle is 4 meter, and the length of the hypotenuse is 15 meters. Find the exact length of th

e other leg.
Mathematics
2 answers:
dybincka [34]3 years ago
5 0
Use pythagorean theorem to solve the problem. The sum of the squares of the perpendicular legs is equal to the square of the hypotenuse. If the length of the other leg is represented by x, then the equation will be:
x² + 4² = 15²
x² + 16 = 225
x² = 225 - 16
x² = 209
x = √209

The length of the other leg is √209 units
Roman55 [17]3 years ago
4 0
You'd be using Pythagorean theorem for this.
You might be interested in
What times 2 equals 64?
nlexa [21]
32 times 2 is equal to 64
7 0
3 years ago
Read 2 more answers
Sixty more than nine times a number is 375
zmey [24]

Answer:

well... x is 35 if that's what your'e asking :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.
nikdorinn [45]

Answer:

The equation does not have a real root in the interval \rm [0,1]

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if f is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

  1. If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
  2. The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in \rm [0,1], which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval \rm [0,1], which means to evaluate the equation in 0 and 1:

f(x)=x^3-3x+8\\f(0)=8\\f(1)=6

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval \rm [0,1]. I attached a plot of the equation in the interval \rm [-2,2] where you can clearly observe how the graph does not cross the x-axis in the interval.  

6 0
3 years ago
What is the answer to this question?<br> I am confused.
olga nikolaevna [1]

Answer:

y=88 x=42

Step-by-step explanation:

Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)

5 0
3 years ago
To multiply a whole number by a fraction, you can first write the whole number as a fraction by placing the whole number in the
Gnom [1K]
No. the product stays the same because it is still the same number, just in fraction form.

6 0
3 years ago
Other questions:
  • 15 percent of $9 is $
    15·1 answer
  • Find a closed form expression for the nth right Riemann sum of this integral?
    6·1 answer
  • Write 2.96 as a mixed number or fraction in simplest form show your work
    8·1 answer
  • The mean and standard deviation for the heights of men in the U.S. are 70 inches and 4 inches respectively and are normally dist
    5·1 answer
  • Why did the donkey get q passport​
    8·1 answer
  • Chose all the properties that were used to simplify the following problem
    13·1 answer
  • Helppppppppppppppppppppppppp please :)
    13·1 answer
  • Los ingresos de una familia son el sueldo del padre de $ 560.400 y el aporte del hijo mayor de $280.600. El 34% de estos ingreso
    14·1 answer
  • Jordana drew the function below.which statement correctly explains whether or not her function is linear?​
    14·1 answer
  • It takes 570 gallons of paint to
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!