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
VMariaS [17]
3 years ago
11

If the length of the hypotenuse of a right triangle is 39 millimeters and the length of one leg is 15 millimeters what is the le

ngth of the other leg (b)
Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0

Answer:

36 millimeters

Step-by-step explanation:

From Pythagoras theorem, the square of the hypotenuse is equal to the sum of the square of the two other legs

In mathematical terms;

a^2 = b^2 + c^2

Let a represent the hypotenuse = 39 mm and the length of one leg, say c, is 15 mm

Slotting in the values of a and b

39^2 = b^2 + 15^2

1521 = b^2 + 225

collect like terms

1521 - 225 = b^2

1296 = b^2

Take the square root of both sides

36 = b

Therefore b = 36 mm

You might be interested in
The picture below shows a box sliding down a ramp: A right triangle ABC has measure of angle ABC equal to 90 degrees and measure
MrRissso [65]

The Image of the triangle is missing and so i have attached it.

Answer:

B: 12 cosec 65°

Step-by-step explanation:

From the diagram attached, we cans see the triangle is a right angle triangle with a given internal angle of 65° and side AB with a length of 12 ft.

Now, we can use trigonometric ratios to find the distance the box has to move from point A to point C which is basically the distance AC.

Now, the given side AB is opposite to the angle. While the required side AC is the hypotenuse.

Thus;

Opposite/hypotenuse = sin θ

Thus;

AB/AC = 12/AC = sin 65

Thus;

AC = 12/sin 65

From trigonometric relationships, we know that;

1/sin θ = Cosec θ

Thus;

AC = 12 cosec 65

3 0
3 years ago
Read 2 more answers
Question 44 Unsaved
Alex_Xolod [135]

Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

<h3>Answer: 89°</h3>

5 0
3 years ago
Read 2 more answers
Please help me figure this out! Thank you so much :( i really need it! ❤️
Hoochie [10]

Answer:

  \textbf{A. }x=2i\text{ or }x=-2i\\\\\textbf{B. }(x+2i)(x-2i)

Step-by-step explanation:

The quadratic can be solved in a straightforward way:

  x^2+4=0\\\\x^2=-4\qquad\text{subtract 4}\\\\x=\pm\sqrt{-4}\qquad\text{take the square root}\\\\x=\pm2i\qquad\text{simplify}

This tells you that the solutions are ...

  2i or -2i

__

For each root of "a", (x -a) is a factor. Thus the factors of the equation are ...

  (x +2i)(x -2i)

8 0
3 years ago
6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and fall
inn [45]

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term and q is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

q = 0.7, a_1 = 25*0.7 = 17.5

Then

a_n = a_1q^{n-1}

a_n = 17.5(0.7)^{n-1}

First 5 terms:

a_1 = 17.5

a_2 = 17.5(0.7)^{2-1} = 12.25

a_3 = 17.5(0.7)^{3-1} = 8.58

a_4 = 17.5(0.7)^{4-1} = 6

a_5 = 17.5(0.7)^{5-1} = 4.2

Find the total distance the ball has travelled after it hits the ground the 5th time.

T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

8 0
3 years ago
The number of new customers n that visit a dry cleaning shop in one year is directly related to the
Ipatiy [6.2K]

Answer:

$15,264 cost amount on new advertising.

Shown as new equation that includes (original + new customer base)

n3=15264a

Step-by-step explanation:

First we have to find original amount of customers as 3 represents a multiple of n

n3=13824a

n3 means n x 3 then customer base is one third

= 1/3 x 13,824  = 4608 original customers per year

= 4608 original customers +480 new customers

4608 + 480 = 5088 total orig+initial  customers

5088 x 3 = 15264 cost

= ($)15,264 cost

new equation

n3=15264a

4 0
3 years ago
Other questions:
  • 10:10 is the same as
    15·1 answer
  • Arrange the vehicles in descending order according to the altitudes at which they operate.
    14·2 answers
  • Which of the following items may be a good consideration in selecting a bank?
    5·2 answers
  • The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence
    11·1 answer
  • What is the value of vba? be sure to give the correct algebraic sign?
    11·1 answer
  • This may seem a bit easy , but i'm not really understanding it.
    10·2 answers
  • If PQRS is a rhombus, find m
    15·1 answer
  • Question 2
    14·1 answer
  • Please help I will love you forever!!! This test is timed thank you in advanced &lt;3
    10·2 answers
  • Help me out, I will give you brainliest, help me in this math problem please thanks​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!