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kolbaska11 [484]
3 years ago
8

What is the distance between 15/16 and 3 1/16?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

18 is the deistance

Step-by-step explanation:

The answer is 18 because 3 times 16 is 33 and 33 minus 15 gives you the correct answer got of 18.

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Zamir needs to determine the height of the building
Svetach [21]

Answer:

Height of the building = 115.4 ft.

Step-by-step explanation:

Height of building = AB + 46.4 + CD + 30.5

By applying Pythagoras theorem in ΔABP,

(26)² = (10)²+ (AB)²

676 - 100 = AB²

AB² = 576

AB = 24 ft

By applying sine rule in ΔCDE,

cos(60°) = \frac{CD}{CE}

CD = CE × \frac{1}{2}

CD = \frac{29}{2}

CD = 14.5 ft

Total Height = 24 + 46.4 + 14.5 + 30.5

                     = 115.4 ft

6 0
3 years ago
A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t
Andre45 [30]

Answer:   Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

Step-by-step explanation:

Given: Width of pencil box = 5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}

Width of seven pencils = 2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}

Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil = (Width of seven pencils ) ÷ 7

=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

3 0
2 years ago
Read 2 more answers
Help (pic attached!!)
mash [69]
( \sqrt[5]{ 3^{2} } )^{ \frac{1}{3} } =  (3^{ \frac{2}{5} } ) ^{ \frac{1}{3} } = 3^{ \frac{2}{15} }

Answer: C.
7 0
4 years ago
Find cot θ if csc θ = negative square root of thirty seven divided by six and tan θ > 0.
Ket [755]
You can use the trigonometric identity  1+\cot^2{x}=\csc^2{x}.

1+\cot^2{\theta}=(\frac{-\sqrt{37}}{6} )^2 \\ 1+\cot^2{\theta}=\frac{37}{36} \\ \cot^2{\theta}=\frac{1}{36} \\
\cot{\theta}=\frac{1}{6}

The requirement that \tan{\theta}\ \textgreater \ 0 eliminates -1/6 from being another solution.
6 0
3 years ago
Calculate the pay for the following day of a
USPshnik [31]

Answer:  $122.50

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

In          Out

8:00    12:00    = 4 hours

12:45    17:30   =<u> 4.75 hours   </u>

          Total        8.75 hours

8.75 hours x $14/hr = $122.50

Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:

 17:30       →         16:90

- 12:45                -<u> 12:45 </u>

                            4: 45

4 hours 45 minutes = 4\frac{3}{4} = 4.75 hours

6 0
3 years ago
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