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
AlexFokin [52]
3 years ago
7

Triangle ABC is a right triangle. The sides measure AB = 3 and BC = 4. Use the Pythagorean theorem to find CA. A. CA = 25 B. CA

= 2.5 C. CA = 20 D. CA = 5
Mathematics
2 answers:
Fed [463]3 years ago
7 0

Answer:

D. CA = 5

Step-by-step explanation:

The Pythagorean Theorem states that given a right triangle with legs a and b and hypotenuse (longest side) c:

a² + b² = c²

Here, the legs are 3 and 4, so a = 3 and b = 4. Plug these in to find c:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

c = √25 = 5

The answer is thus D.

<em>~ an aesthetics lover</em>

Vesna [10]3 years ago
5 0

Answer:

  CA = 5

Step-by-step explanation:

Since the sides are 3 and 4, we recognize this as a 3:4:5 right triangle, with CA = 5. Using the Pythagorean theorem confirms this:

  CA² = AB² +BC²

  CA² = 3² +4² = 9 +16 = 25

  CA = √25

  CA = 5

You might be interested in
A bicyclist is riding on a path modeled by the function f(x) = 0.03(10x − x2), where x and f(x) are measured in miles. Find the
REY [17]

Answer: 0.024\ \text{miles per sec}

Step-by-step explanation:

Given

Path is changing according to the function f(x)=0.03(10x-x^2)

Rate of change of the elevation is given by the derivative of the function

\Rightarrow f'(x)=0.03(10-2x)

At x=1\ f'(x) \ \text{is}

\Rightarrow f'(x=1)=0.03(10-2\times 1)\\\Rightarrow f'(x=1)=0.03(8)\\\Rightarrow f'(x=1)=0.24\ \text{miles per sec}

3 0
2 years ago
I need help ASAP PLS
mote1985 [20]

Answer:

write one what I don't get it

4 0
3 years ago
Read 2 more answers
Please help me now plz I will mark you brainliest
PIT_PIT [208]

Answer:

On the circle

Step-by-step explanation:

Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:

\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10, meaning that it is on the circle. Hope this helps!

7 0
3 years ago
There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
Jess picked 40 pounds of peaches in her orchard. She divided the peaches evenly between 4 large baskets. How many ounces did Jes
ioda

Answer:

10

Step-by-step explanation:

the answer is 10 you half to divide 40 and u get 4

8 0
3 years ago
Other questions:
  • Debi had $1.55 in a collection of dimes and nickels. The number of nickels is seven more than the number of dimes. Find the numb
    5·1 answer
  • Factor completely, then place the answer in the proper location on the grid.<br><br> 9x 4 -225y 8
    14·1 answer
  • What is the simplified form of x-2 over x2+x-6 divided x2+5x+4 over x+4
    10·2 answers
  • The least common multiple of 20, 24, and 45 is _____.<br> A. 30<br> B. 180<br> C. 360<br> D. 21,600
    13·1 answer
  • Simplify (3^3 x 5^3)^-2
    12·1 answer
  • The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin
    7·1 answer
  • X - 9<br> - -2<br> —<br> x - 2<br><br> Solve for all values of x.
    15·1 answer
  • Find and type in the Constant of proportionality for this graph, AND write the equation in the form of y=kx.
    14·1 answer
  • Anyone know how to solve 28?
    10·2 answers
  • 3x + 8y = 7<br><br> 2x - 2y = -10<br> what is x and y show work please<br> basically show work
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!