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
andriy [413]
3 years ago
10

​△BCD ​ is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. Wh

at is the length of the other leg? Enter your answer, as a decimal rounded to the nearest tenth, in the box.
Mathematics
2 answers:
belka [17]3 years ago
6 0

In a right triangle, this formula can be used:


a^2 + b^2 = c^2


when a and b are the legs and c is the hypotenuse.


Substitute the numbers from the problem into the formula.


14^2 + b^2 = 18^2


Simplify.


196 + b^2 = 324

b^2 = 128

b = square root of 128 = 11.3137...


When 11.313 is rounded to the nearest tenth, it is 11.3


The length of the other leg is 11.3 centimeters.


Hope this helps!


lidiya [134]3 years ago
4 0

Answer: 11.3 centimeters

Step-by-step explanation:

A right angle triangle has the hypotenuse, adjacent and the opposite. The hypotenuse is the longest side in a right angle triangle. The square of the hypotenuse equals the addition of the square of the adjacent and the square of the opposite.

Hypotenuse2 = Opposite2 + Adjacent 2

Since hypotenuse is 18cm and a leg is 14cm, the other leg will be:

Let the other leg be d

18^2 = 14^2 + d^2

324 = 196 + d^2

d^2 = 324 - 196

d^2 = 128

To get the value of the other leg, we find the square root of 128.

d^2 = 128

d =√128

d = 11.3

The other leg is 11.3 centimeters

You might be interested in
3. Composition with Red, Blue & Yellow
spayn [35]

The different colours that has been used is red, yellow and blue and the number of central squares is = 73 boxes

<h3>The Mondrian's work</h3>

The First division that was divided into 9 equal parts has = 1 coloured red.

The second division is 8 remaining

uncoloured squares into 9 equal squares = 8×9= 72boxes

The number of boxes that was coloured yellow =8 boxes

The remaining uncolored boxes which is = 72 - 8 = 64 boxes

The third division is the division of each remaining uncolored boxes into 9. That is 64 × 9 = 576

The number of boxes that was coloured blue = 64 boxes

Therefore the number of central squares that has been coloured = 1 + 8 + 64

= 73 boxes

Learn more about colours here:

brainly.com/question/8956971

6 0
2 years ago
I need help with his question
Doss [256]

Answer:

27-24i

Step-by-step explanation:

It is trust me:)

3 0
3 years ago
Find the inverse function F -1 (X) for the given function F (X)
charle [14.2K]

<u>Solution for question 5:</u>

f(x) = 4x - 8

To find f^-1(x) write it as an equation:

y = 4x - 8

Then take x to left and y to right;

x = 4y - 8

Then solve for y;

y = (x + 8)/4 = x/4 + 2

Your y is the inverse of f(x) = 4x - 8

f^-1(x) = x/4 + 2


8 0
3 years ago
Design specifications require that a key dimension on a product measure 105 ± 12 units. A process being considered for producing
marta [7]

Answer:

Cpk = Cpu = Cpl = 0.4785

Step-by-step explanation:

Solution:-

- The capability of a process is determined using the capability index ( Cpk ). The index helps in determining the output of the process lies within the specification limits.

- The key dimension on a product measure is:

                                 105 ± 12 units

- Process is producing this product at a 6-sigma quality standards i.e ( process is producing this product has a standard deviation (σ) of three units.)

Where,         Standard Error in measured value = 12 units.

- The process capability (Cpu) is defined based on the Upper Specification Limit of the process (USL):

                             Cpu = (USL - u) / 3σ

- The process capability (Cpl) is defined based on the Lower Specification Limit of the process (LSL):

                             Cpl = ( u - LSL) / 3σ

- Assume that the process is centered with respect to specifications, then the given absolute value of u = 105 units.

Where the specification limits are defined as:

                             LSL = u - SE = 105 - 12

                             LSL = 93 units

                             USL = u + SE = 105 + 12

                             USL = 117 units

- Now evaluate the Process capability on each of the two limits specification limits:

                           Cpu = (USL - u) / 3σ

                           Cpu = (117 - 105) / 3σ

                           Cpu = 4 / σ

                           Cpl = ( u - LSL) / 3σ

                           Cpl = ( 105 - 99 ) / 3σ

                          Cpl = 4 / σ    

- The minimum of Cpu and Cpl is denoted as the Cpk value:

                           Cpk = min ( Cpu , Cpl )

                           Cpk = Cpu = Cpl = 4 / 8.36

                           Cpk = Cpu = Cpl = 4 / 8.36 = 0.4785          

               

6 0
3 years ago
students at river view middle school are allowed to wear two different colors of uniform shirts. A survey of students at the sch
Vladimir79 [104]

Answer:

18 students are likely to be wearing red

Step-by-step explanation:

From the question, we know a student either wears red , or blue, with the probability of a student wearing red is 3 times more probable than wearing white.

So, let’s say out of the 24 students, x of them are wearing white. What this practically mean is that 3 * x = 3x of the students would be expected to be wearing red.

Now, adding the number of people wearing red and white together in terms of x, we have x + 3x = 4x

We equate this to 24; 4x = 24 and x = 24/4; x = 6

The number wearing red probably is 3 * x = 3 * 6 = 18 people

5 0
3 years ago
Other questions:
  • Solve this inequality: 9h + 2 &lt; –79.
    12·2 answers
  • Two sides of an equilateral triangle have lengths x+2 and -2x+20 Which could be the length of the third side: 14-x or 2x+4?
    10·1 answer
  • Kent has 20 pieces of 50 sen and 20 sen coins.The total value of the coins is RM6.10.
    6·2 answers
  • Let a &lt; b &lt; c and f an integrable function defined on ſa, c). Let the average value of f over [a, b] be A1 and the average
    13·1 answer
  • Under the translation T(2, -3) the point (1, 6) will become (3, 9).
    12·1 answer
  • Boiling water, at 100 degrees Celsius, is placed in a freezer at 0 degrees Celsius. The temperature of the water is 50 degrees C
    9·1 answer
  • Chester has a par value $500 bond issued by Harris County. The bond pays 6.2% yearly interest, and has a current market rate of
    5·2 answers
  • Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 1
    12·1 answer
  • I need help with my mathematics test
    7·2 answers
  • Please help this is urgent. | 2.Here are four expressions that have the value -1/2 : -1/4 + (-1/4), 1/2 - 1, -2 x 1/4, -1 ➗ 2 .
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!