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vitfil [10]
3 years ago
10

What would be the angle between the two perpendicular lines.​

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

<em>90 degrees</em>

<em>90 degreesPerpendicular lines are lines that intersect at a <u>right (90 degrees) angle.</u></em>

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The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructo
Nikolay [14]

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

36 = 100

17 = X

17 x 100/36 = X

1700/36 = X

47.22 = X

The probability of choosing a professor or an instructor is 47.22%.

8 0
3 years ago
If two fair dice are rolled, what is the probability that the total showing is either even or less than five?
snow_tiger [21]

The Probability that the total showing is either even or less than five = 5/6

<h3>What is Probability?</h3>

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

<h3>According to the given data:</h3>

The example space for rolling two dice is:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

36 events total.

Events that have a sum that is even or less than Five .

Total instances when the aggregate is even or less than Five equals 30.

P(sum is even or less than 5)

= (Total no of favorable event)/(Total no of event)

= 30/36

=5/6

probability that the total showing is either even or less than five = 5/6

To know more about probability visit :

brainly.com/question/13066369

#SPJ4

6 0
1 year ago
Find an equation for the nth term of the arithmetic sequence.
amm1812

Answer:

a_n=-301 +37(n-1)

Step-by-step explanation:

arithmetic sequence formula:  a_n=a +(n-1)d

where a is the first term and d is the common difference

Given:

  a_{10}=32

⇒ a +(10-1)d=32

⇒ a+9d=32

Given:

    a_{12}=106

⇒ a +(12-1)d=106

⇒ a+11d=106

Rearrange the first equation to make a the subject:

a = 32 - 9d

Now substitute into the second equation and solve for d

    (32 - 9d) + 11d = 106

⇒ 32 + 2d = 106

⇒ 2d = 106 - 32 = 74

⇒ d = 74 ÷ 2 = 37

Substitute found value of d into the first equation and solve for a:

a + (9 x 37) = 32

a + 333 = 32

a = 32 - 333 = -301

Therefore, the equation is: a_n=-301 +37(n-1)

4 0
2 years ago
Find the greatest common factor
Vikentia [17]

Answer:

3x^2y^2

Step-by-step explanation:

I think:

3*2*x*x*x*y*y*y*y

3*3*x*x*y*y

3*6*x*x*x*y*y

They all have 3x^2y^2 in common.

6 0
3 years ago
Tommy has a screw whose length is 4 cm and its thread length is 16 cm. What is the mechanical advantage of the screw?
Rus_ich [418]

Answer:

a screw is a simple machine that works as a modified inclined plane. You can think of the thread of the screw as an inclined plane wrapped around the shaft of the screw. The slope of the screw is the distance for one complete rotation while the height of the inclined plane is the distance between the threads, known as pitch. The relationship between the pitch and circumference of the screw gives the mechanical advantage.

7 0
2 years ago
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