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gtnhenbr [62]
3 years ago
5

The figure shows part of a freeway interchange. The raised freeway is supported by vertical, parallel pillars. Set up a ratio an

d solve to find the length of PQ to the nearest tenth of a yard.

Mathematics
1 answer:
Ugo [173]3 years ago
7 0
We will use ratio and proportion between the inclined sides with its corresponding horizontal bases. Then we could determine for the value of segment AQ.

PA/SB = AQ/BR
32/30 = AQ/24
AQ = 25.6 yd

Since what is asked is segment PQ,
PQ = PA + AQ
PQ = 32 + 25.6
PQ = 57.6 yards
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I really need help with this right now :(
erma4kov [3.2K]
Lol sry nobody came to help you earlier...
honestly u shoould just put all the values in a calculator.
The second one, fourth one, and last one
4 0
3 years ago
Is 3.734795.... a rational or irrational number? and why
Marina CMI [18]

Answer:

Let's look at what makes a number rational or irrational ...

Rational Numbers

A Rational Number can be written as a Ratio of two integers (ie a simple fraction).

Example: 1.5 is rational, because it can be written as the ratio 3/2

Example: 7 is rational, because it can be written as the ratio 7/1

Example 0.333... (3 repeating) is also rational, because it can be written as the ratio 1/3

 

Irrational Numbers

But some numbers cannot be written as a ratio of two integers ...

...they are called Irrational Numbers.

Example: π (Pi) is a famous irrational number.

Pi

π = 3.1415926535897932384626433832795... (and more)

We cannot write down a simple fraction that equals Pi.

The popular approximation of 22/7 = 3.1428571428571... is close but not accurate.

Another clue is that the decimal goes on forever without repeating.

Cannot Be Written as a Fraction

It is irrational because it cannot be written as a ratio (or fraction),

not because it is crazy!

So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

Example: 9.5 can be written as a simple fraction like this:

9.5 =  

19

2

 

So it is a rational number (and so is not irrational)

Here are some more examples:

Number   As a Fraction   Rational or

Irrational?

1.75    

7

4

   Rational

.001    

1

1000

   Rational

√2

(square root of 2)   ?   Irrational !

Square Root of 2

Let's look at the square root of 2 more closely.

square root 2 When we draw a square of size "1",

what is the distance across the diagonal?

The answer is the square root of 2, which is 1.4142135623730950...(etc)

But it is not a number like 3, or five-thirds, or anything like that ...

... in fact we cannot write the square root of 2 using a ratio of two numbers

... I explain why on the Is It Irrational? page,

... and so we know it is an irrational number

Famous Irrational Numbers

Pi    

Pi is a famous irrational number. People have calculated Pi to over a quadrillion decimal places and still there is no pattern. The first few digits look like this:

3.1415926535897932384626433832795 (and more ...)

e (eulers number)    

The number e (Euler's Number) is another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this:

2.7182818284590452353602874713527 (and more ...)

phi    

The Golden Ratio is an irrational number. The first few digits look like this:

1.61803398874989484820... (and more ...)

radical symbol    

Many square roots, cube roots, etc are also irrational numbers. Examples:

√3 1.7320508075688772935274463415059 (etc)

√99 9.9498743710661995473447982100121 (etc)

But √4 = 2 (rational), and √9 = 3 (rational) ...

... so not all roots are irrational.

pls, branliest :)

7 0
3 years ago
Can someone help me? I’m confused.
jonny [76]
The answer is 3x10^12 also can i get brainliest please??
8 0
3 years ago
Read 2 more answers
Mr. franklin paid $33.20 for 8 gallons of gas. What is the price of 1 gallon ?
evablogger [386]
The price of 1 gallon is $4.15. You figure this out by dividing 33.20 by 8.
33.20/8 = 4.15
3 0
3 years ago
Read 2 more answers
What two whole numbers is the quotient between?
Katarina [22]

Answer:

Choice D

Step-by-step explanation:

38/4 =9.5

Therefore, this number is between 9 and 10

Note:

38/4 = 9 remainder 2

Hence, the quotient is 9 which is a whole number

3 0
3 years ago
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