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
Verdich [7]
2 years ago
5

If AB = 58, and BC = 46, find the length of the radius to the nearest tenth. Assume BC is tangent to Circle A.

Mathematics
1 answer:
iragen [17]2 years ago
3 0

Applying the Pythagorean theorem, the length of the radius is: 35.3 units.

<h3>How to Apply the Pythagorean Theorem?</h3>

According to the Pythagorean theorem, the sum of the squares of the shorter sides of a right triangle equals the square of the longest side. For example, if a and b are two smaller legs of a right triangle, and c is the longest leg (hypotenuse) of the right triangle, then the Pythagorean theorem states that:

a² + b² = c².

Given the following parameters of the right triangle:

Triangle ABC is a right triangle with angle ACB as the right angle according to the tangent theorem since segment BC is tangent to Circle A

Segment AB = 58 (hypotenuse of the right triangle)

Segment BC = 46 (small leg of the right triangle)

Radius = AC (small leg of the right triangle)

Using the Pythagorean theorem, we have:

AC = √(AB² - BC²)

AC = √(58² - 46²)

AC = 35.3 units (to the nearest tenth).

Therefore, by using the Pythagorean theorem, the length of the radius of the circle, which is segment AC, to the nearest tenth is: 35.5 units.

Learn more about the Pythagorean theorem on:

brainly.com/question/16176867

#SPJ1

You might be interested in
To estimate his travel time, joe divides the distance, d, in miles by 5 less than his expected average speed, in miles per hour.
Elis [28]
<span>Distance is equal to rate times time, and time is the unknown in this instance. To find time, divide distance by rate. In this case, Joe wants to use a rate five miles per hour less than his planned speed of 75 miles per hour, which is 70. Dividing 310 miles by 70 miles per hour yields an expected travel time of 4.4 hours.</span>
4 0
3 years ago
Complete the following for a rectangular prism
denis-greek [22]

Width= 8 cm

Because 192 / 2 = 96 / 12 = 8

SA= (perimeter * height) + 2 (length * width)

SA= (20*12)+2(2*8)

SA= 240+32

SA= 272 cm2

6 0
3 years ago
Read 2 more answers
The zoo has 218 animals in the outdoor exhibits and 454 animals in the indoor exhibits. Estimate how many animals the zoo has by
adoni [48]

Answer:

670 animals

Step-by-step explanation:

First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).

218 = rounds up = 220

454 = rounds down = 450

Finally, add the rounded numbers together.

220 + 450 = 670

The zoo has approximately 670 animals.

5 0
3 years ago
2.) Ryan joined a holiday coffee club that charged him a one-time fee of $15 for a coffee mug, plus $2 every time he filled his
GuDViN [60]

Answer:

B.) m=14

Step-by-step explanation:

you would have to make the equation 15+2x=43. After doing so you would have to subtract both sides do the equation to end up with 2x=28. The last step is to divide both sides of the equation by 2 to get x=14.

7 0
3 years ago
Read 2 more answers
The function y= -7/4x - 2 is transformed by shifting it to the right 12 units. What is the equation of the new function?
mafiozo [28]
Y = -7/4x + 19

You can get this by noting that at x = 12 of your new equation, y must equal -2 since it does presently on the y axis and you'll be shifting 12. So, you now have an ordered pair and the slope must stay the same. Then you can solve for the new y intercept by plugging in and solving for it. 
8 0
3 years ago
Other questions:
  • MAKE THE BRAINLIEST-----------------IF UR RIGHT-------------A student solved this problem and said the answer was of a loaf. Mau
    5·2 answers
  • Last summer,at a camp,the ratio of the number of boy campers to girl campers is 9:6.If there is 225 campers,how many boy campers
    12·1 answer
  • What transformation were applied to ABC to obtain A’B’C?
    9·2 answers
  • Solve each absolute value equation or inquality and choose the correct answer from the choices provided.
    8·1 answer
  • Ryan rides his bike for 30 minutes and travels a distance of 4 miles. How fast was Joe traveling?
    8·2 answers
  • According to the distributive property, 6 (a + b) =
    10·1 answer
  • Which sides of the isosceles triangle are the legs?
    9·2 answers
  • I NNNNNEDDDDD HHHHEEELLLLLPPPPPPPP
    13·2 answers
  • PLSSSS HELP<br><br> Which statement is true about the ratios shown?
    7·2 answers
  • If a figure has a line of symmetry, that means what?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!