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shtirl [24]
3 years ago
6

Rearrange The numbers below so that they are listed in numerical order from least to greatest 34.039, 32.94, 34.198 , 32. 102 ,

33.6
Mathematics
1 answer:
denis-greek [22]3 years ago
8 0
32.102, 32.94, 33.6, 34.039, 34.198

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What is the measure of SQ?<br><br> 1. 95<br> 2. 190<br> 3. 265<br> 4. 360
Vesnalui [34]

Answer:

The measure of arc SQ is 95° ⇒ (1)

Step-by-step explanation:

  • The measure of any circle is 360°
  • The measure of the subtended arc to an inscribed angle is twice the measure of this angle

In the given circle

∵ S lies on the circumference of the circle

∴ ∠QSR is an inscribed angle

∵ ∠QSR is subtended by arc QR

→ By using the 2nd rule above

∴ m arc QR = 2 × m∠QSR

∵ m∠QSR = 95°

∴ m arc QR = 2 × 95

∴ m arc QR = 190°

→ By using the 1st rule above

∵ m of the circle = m arc QR + m arc SQ + m arc SR

∵ m arc SR = 75° and m arc QR = 190°

→ Substitute them in the equation above

∴ 360 = 190 + m arc SQ + 75

→ Add the like term in the right side

∴ 360 = 265 + m arc QS

→ Subtract 265 from both sides

∵ 360 - 265 = 265 - 265 + m arc SQ

∴ 95° = m arc SQ

∴ The measure of arc SQ is 95°

7 0
3 years ago
How can you solve the equation 8x = 2x + 2 graphically?
ehidna [41]

subtract 2x from both sides... 6x=2 divide by 6 = .3

3 0
3 years ago
Mrs. Olga’s $250 investment earns 19% interest compounded annually. What will her balance be after 3 years?
Maurinko [17]

Answer:

The answer is A. $421.29

Step-by-step explanation:

Just keep finding 19% of the numbers next, and you add that all up and you get the answer.

250 x 19%=47.5. (250+47.5)=> 297.5x19%= 56.525. (297.5+56.525) =>354.025x19%=67.26475

354.025+67.26475=> 421.28975, which can round up to 421.29.

6 0
3 years ago
Read 2 more answers
Find the sum of the following series:
Oksanka [162]

Answer:

The sum is 2635

Step-by-step explanation:

I did this problem

5 0
3 years ago
To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th
Nata [24]

the height of the house is 408ft .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find  What is the height of the house . Let's find out:

Let  y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street  = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}

⇒ Tan32 = \frac{y}{x}

⇒ y=x(Tan32 )       ..................(1)

Also , At point B

⇒ Tan42 = \frac{y}{x-200}

⇒ y=(x-200)(Tan42)     ..............(2)

Equating both equations:

⇒ (x-200)(Tan42) = x(Tan32)

⇒ x(Tan42-Tan32)=Tan42(200)

⇒ x=\frac{Tan42(200)}{(Tan42-Tan32)}

⇒ x=653ft

Putting  x=653ft in  y=x(Tan32 )  we get:

⇒  y=x(Tan32 )    

⇒  y=653(Tan32 )

⇒  y=408ft

Therefore , the height of the house is 408ft .

4 0
2 years ago
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