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3 years ago

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

Step-by-step explanation:

In Out

8:00 12:00 = 4 hours

12:45 17:30 = 4.75 hours

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 - 12:45

4: 45

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

6 0

3 years ago