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rodikova [14]
3 years ago
9

How did u divide that

Mathematics
1 answer:
kirza4 [7]3 years ago
5 0
Wait what do you mean?
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In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.
chubhunter [2.5K]

Answer:

HF ≈ 23.2 ft

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin75° = \frac{opposite}{hypotenuse} = \frac{HF}{FG} = \frac{HF}{24}

Multiply both sides by 24

24 × sin75° = HF , thus

HF ≈ 23.2 ft ( to the nearest tenth )

4 0
3 years ago
4% of ___days is 56 days
kykrilka [37]
If 0.04x = 56 days

0.01x = 14 days
x = 14*100 = 1400 days
7 0
3 years ago
Read 2 more answers
Estimate each Quotient
Doss [256]
Okay, through simple division I'll give you the long side of the work. Known as Long Division: [This may turn out unaligned correctly, but hopefully it works.]

Question 1:
~~~ [][]816.82 ~ Answer. ~ Estimate to 816.8 or 817.
73 / 59628
~~~ 596
~~~ 584 ~ 73 goes into 596 8 times, giving us 584. Subtract and carry.
~~~~ 122
~~~~ []73 ~ 73 goes into 122 1 time, giving us 73. Subtract and carry.
~~~~~ 498
~~~~~ 438 ~ 73 goes into 498 6 times, giving us 438. Subtract and add a 0.
~~~~~~ 600
~~~~~~ 584 ~ 73 goes into 600 8 times, giving us 584. Subtract and add a 0.
~~~~~~~ 160
~~~~~~~ 146 ~ 73 goes into 160 2 times, giving us 146. Finalize the answer.

Question 2:
~~~ [][]6228.35 ~ Answer. Estimate to 6,228.4 or 6,228.
58 / 361245
~~~ 361
~~~ 348 ~ 58 goes into 361 6 times, giving us 348. Subtract and carry.
~~~~ 132
~~~~ 116 ~ 58 goes into 132 2 times, giving us 116. Subtract and carry.
~~~~~ 164
~~~~~ 116 ~ 58 goes into 164 2 times, giving us 116. Subtract and carry.
~~~~~~ 485
~~~~~~ 464 ~ 58 goes into 485 8 times, giving us 464. Subtract and add 0.
~~~~~~~ 210
~~~~~~~ 174 ~ 58 goes into 210 3 times, giving us 174. Subtract and add 0.
~~~~~~~~ 340
~~~~~~~~ 290 ~ 58 goes into 340 5 times, giving us 290. Finalize the answer.

Question 3:
~~~ [][]1631.12 ~ Answer. Estimate to 1,631.1 or 1,631.
64 / 104392
~~~ 104
~~~~ 64 ~ 64 goes into 104 1 time, giving us 64. Subtract and carry.
~~~~ 403
~~~~ 384 ~ 64 goes into 403 6 times, giving us 384. Subtract and carry.
~~~~~ 199
~~~~~ 192 ~ 64 goes into 199 3 times, giving us 192. Subtract and carry.
~~~~~~~ 72
~~~~~~~ 64 ~ 64 goes into 72 1 time, giving us 64. Subtract and add 0.
~~~~~~~~ 80
~~~~~~~~ 64 ~ 64 goes into 80 1 time, giving us 64. Subtract and add 0.
~~~~~~~~ 160
~~~~~~~~ 128 ~ 64 goes into 160 2 times, giving us 128. Finalize the answer.

I hope that helps, have a great rest of your day! ^ ^
{-Ghostgate-}
3 0
3 years ago
14. The property tax on a medical center is 1 mill or no of a cent ($0.001)
mezya [45]

Answer:

a) $235.65

b) $57,499.58

Step-by-step explanation:

Tax rate is 1 mill or $0.001 on every $1 of appraised value. This means the tax rate is:

Tax rate = $0.001 per $1 = \frac{0.001}{1} \times 100\%=0.1\%

Part a)

Appraised value of medical center = $ 235,654

Tax rate = 0.1%

Tax Amount due = 0.1% of $ 235,65 = \frac{0.1}{100} \times 235,654= \$ 235.654

Thus, the tax due for 1 mill is $235.65 rounded to nearest cent.

Part b)

New Tax rate = 244 mills = \$ \frac{244}{1000} =$0.244

Tax rate is 1 mill or $0.001 on every $1 of appraised value. This means the tax rate is:

Tax rate = $0.244 per $1 = \frac{0.244}{1} \times 100\%=24.4\%

Tax Amount due = 24.4% of $ 235,65 = \frac{24.4}{100} \times 235,654= \$ 57499.576

Thus, the tax due for 244 mills is $57,499.58 rounded to nearest cent.

5 0
4 years ago
Solve each equation. I don't know this
MArishka [77]
1.(2x - 3)(x + 7) = 0
   2x^{2} + 14x - 3x - 21 = 0                                  
   2x^{2} + 11x - 21 = 0                       
  
   x = \frac{-11 +/- \sqrt{11^{2} - 4(2)(-21)}}{2(2)}                 
  
   x = \frac{-11 +/- \sqrt{121 + 168}}{4}
  
   x = \frac{-11 +/- \sqrt{289}}{4}
  
   x = \frac{-11 +/- 17}{4}
  
   x = -2.75 +/- 4.25
   x = -2.75 + 4.25                     x = -2.75 - 4.25
   x = 1.5                                                   <u></u>x = -7
----------------------------------------------------------------------------------------------------------  2.8x(2x - 5) = 0
   8x(2x) - 8x(5) = 0
   16x^{2} - 40x = 0
   16x^{2} - 4x + 0 = 0
  
   x = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4(16)(0)}}{2(16)}
  
   x = \frac{40 +/- \sqrt{1600 - 0}}{32}
  
   x = \frac{40 +/- \sqrt{1600}}{32}
  
   x = \frac{40 +/- 40}{32}
  
   x = 1.25 +/- 1.25
   x = 1.25 + 1.25                                  x = 1.25 - 1.25
   x = 2.5                                               x = 0
----------------------------------------------------------------------------------------------------------
3.x^{2} + 3x - 10 = 0
  
   x = \frac{-3 +/- \sqrt{3^{2} - 4(1)(-10)}}{2(1)}
  
   x = \frac{-3 +/- \sqrt{9 + 40}}{2}
  
   x = \frac{-3 +/- \sqrt{49}}{2}
  
   x = \frac{-3 +/- {7}}{2}
  
   x = -1.5 +/- 3.5
   x = -1.5 + 3.5               x = -1.5 - 3.5
   x = 2                             x = -5
----------------------------------------------------------------------------------------------------------
4. x^{2} = 13x - 36
    x^{2} - 13x + 36 = 13x - 13x - 36 + 36
    x^{2} - 13x + 36 = 0
   
    x = \frac{-(-13) +/- \sqrt{(-13)^{2} - 4(1)(36)}}{2(1)}

   
    x = \frac{13 +/- \sqrt{169 - 144}}{2}
  
    x = \frac{13 +/- \sqrt{25}}{2}
 
    x = \frac{13 +/- 5}{2}

    x = 6.5 +/- 2.5
    x = 6.5 + 2.5                     x = 6.5 - 2.5
    x = 9                                 x = 4
----------------------------------------------------------------------------------------------------------
5.3x^{2} - 7x + 2 = 0
  
   x = \frac{-(-7) +/- \sqrt{(-7)^{2} - 4(1)(2)}}{2(3)}

   x = \frac{7 +/- \sqrt{49 - 8}}{6}

   x = \frac{7 +/- \sqrt{41}}{6}

   x = \frac{7 +/- 6.403124237432849}{6}
 
   x = 1.167+/- 1.06718737290547
   x = 1.67 + 1.06718737290547              x = 1.167 - 1.06718737290547
   x = 2.73718737290547                         x = 0.60281262709453
----------------------------------------------------------------------------------------------------------
6.10x^{2} - 10x + 9 = 5x^{2} + 4x + 1
   10x^{2} - 5x^{2} - 10x + 10x + 9 - 1 = 5x^{2} - 5x^{2} + 4x + 10x + 1 - 1
   5x^{2} + 8 = 14x
   5x^{2} - 14x + 8 = 14x - 14x
   <u />5x^{2} - 14x + 8 = 0
  
   x = \frac{-(-14) + \sqrt{(-14)^{2} - 4(5)(8)}}{2(5)}
  
   x = \frac{14 +/- \sqrt{196 - 160}}{10}
  
   x = \frac{14 +/- \sqrt{36}}{10}.
  
   x = \frac{14 +/- 6}{10}
  
   x = 1.4 +/- 0.6
   x = 1.4 + 0.6                x = 1.4 - 0.6
   <u />x = 2                            x = 0.8
 
 
5 0
4 years ago
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