The picture above shows the question.

9514 1404 393

Answer:

  a little more than 27

Step-by-step explanation:

Estimates are generally made by approximating the numbers using 1 or 2 significant digits. The idea is to do as much mental arithmetic as possible, not involving a calculator. Here, the estimate can be based on rounding the values like this:

  √9.7 +3.88 × 6.21 ≈ √9 +4 × 6 = 3 +24 = 27 . . . estimated expression value

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Another aspect of estimating is determining the approximate error involved.

We know that √9.7 will be more than √9 = 3, and less than √10 ≈ 3.16*. Its real value may be about 3.1.

3.88 is less than 4 by 0.12, or 3%. 6.21 is greater than 6 by .21, or 3.5%. So, the estimated product of 24 will be on the order of -3% +3.5% = 0.5% too low. Of course 1% of 24 is 0.24, so 1/2% will be about 0.12. Now, we are able to estimate that our estimate is about 0.2 units too low. (The actual value of the expression is an irrational number that rounds to about 27.2093.)

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* The value of 3.16 for √10 is not so hard to remember, because it is just slightly more than π ≈ 3.14.

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Additional comment

Small percentages can usually be added and subtracted without introducing too much additional error. (The smaller the percentages, the less additional error is introduced.) Here, the error in our estimated product can be more accurately determined by computing ...

  (1 -3%)(1 +3.5%) = 1 +0.5% -0.105% = 1 +0.395% . . . . . . (not 1 +0.5%)

That is, our product's actual value is 24.0948, not 24.12.

Answer:

x = 34

Step-by-step explanation:

∠ PSR and ∠ TSU are vertical angles and congruent, then

∠ PSR = 4x, thus ∠ PSQ = x

The exterior angle of a triangle is equal to the 2 opposite interior angles.

∠ SQR is an exterior angle of Δ PQS , thus

x + x = 68

2x = 68 ( divide both sides by 2 )

x = 34

Answer:

X = 34°

Step-by-step explanation:

In order to solve this question we will need to know the following, when two lines intersect the opposite angles at that point are equal to each other, that the sum of all angles of a triangle is 180 degrees, and that the angle of a straight line is equal to 180 degrees.

Frist we will have to notice that ∠TSU is equal to ∠PSR, because they are opposite to each other (If you would like to understand this more you can research on a topic call "vertical angels"). Now it is important to understand the following.

∠PSR  = ∠PSQ + QSR

Since ∠PSR = ∠TSU = 4x, ∠QSR = 3x ⇒

⇒ ∠PSR  = ∠PSQ + QSR

   4x = ∠PSQ + 3x

   4x - 3x = ∠PSQ

   x = ∠PSQ

Now, since the sum of all angles in a triangle is equal to 180 we can now say the following:

∠QPS + ∠PSQ + ∠PQS = 180°

In order to find out what PQS is equal to we need to use our knowledge about the angel of a strait line (the angel of a strait line is equal to 180°).

So now we can say the following:

180° = ∠PQS + SQR

∠PQS = 180° - ∠SQR

Since we know that ∠SQR = 68° ⇒

⇒∠PQS = 180° - ∠SQR

  ∠PQS = 180° - 68°

  ∠PQS = 112°

Since ∠QPS = x, PSQ = x, and ∠PQS = 112° ⇒

⇒ ∠QPS + ∠PSQ + ∠PQS = 180°

   x + x + 112° = 180°

  2x = 180° - 112°

  2x = 68°

  x = 34°

Answer:

the answer is yes

since there is there sides that's what shows in a triangle

Answer:

10

Step-by-step explanation:

Rad10 times rad10 equals rad100 which is simplified to 10

Answer:

A: 10

Step-by-step explanation:

√10 × √10

= 10

Answer: I believe the answer is b.

Answer:

x=-31/4

Step-by-step explanation:

Cross multiply and bring 3 to the opposite side.

3(3x+8) =5x-7

9x+24=5x-7

Bring all the x to one side and the numbers to the other

9x-5x=-7-24

4x=-31

x=-31/4

Answer:

ian just wasted the last bit of coffee.

Step-by-step explanation:

Answer:

3.30

Step-by-step explanation:

Answer:68600m

Step-by-step explanation:98 meters to cm is 9800 then times it by 7 you get 68600

Answer:

yes

Step-by-step explanation: yes

Answer:

Depreciation and Written Down Value for first 5 years of purchase is explained.

Step-by-step explanation:

The Car was purchased for $18000 this will be depreciated at a rate of 20% per year.

Declining Method

Year 1

$18,000 * 20% = $3,600 Depreciation

$18,000 - $3,600 = $14,400 Written Down Value WDV

Year 2

$14,400 * 20% = $2,880 Depreciation

$14,400 - $2,880 = $11,520 WDV

Year 3

$11,520 * 20% = $2,304 Depreciation

$11,520 - $2,304 = $9,216 WDV

Year 4

$9,216 * 20% = $1,843 Depreciation

$9,216 - $1,843 = $7,373 WDV

Year 5

$7,373 * 20% = $1,475 Depreciation

$7,373 - $1,475 = 5,898 WDV

Answer:

I am going to say 6 , please let me know if I am wrong :)

Answer:

do u need to isolate the variables?

Step-by-step explanation:

Answer:

x = 45

y = 60

Step-by-step explanation:

2x = 90

2x (1/2) = 90 (1/2)

x = 45

3y - 2y = 90

3y - 2(45) = 90

3y - 90 = 90

3y - 90 (+90) = 90 (+90)

3y = 180

3y (1/3) = 180 (1/3)

y = 60

Hope this helps :)