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Anvisha [2.4K]
3 years ago
7

What is the conversion factor to convert kilometers to miles?

Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0
1 kilometer is equal to 0.62137119 miles.
Advocard [28]3 years ago
8 0

Answer:

The conversion factor to convert kilometers to miles is 0.625.

Step-by-step explanation:

To find : What is the conversion factor to convert kilometers to miles?

Solution :

The easiest way to convert kilometer into miles is given by,

Divide the number by 8 then multiply it by 5.

We have to convert 1 kilometer into miles.

1\text{ kilomter}=(\frac{1}{8}\times 5)\text{ miles}

1\text{ kilomter}=\frac{5}{8}\text{ miles}

1\text{ kilomter}=0.625\text{ miles}

Therefore, The conversion factor to convert kilometers to miles is 0.625.

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Adam is building a rectangular planter without a top. The planter will be 14 cm wide, 20 cm long, and 30 cm high. How much wood
Paul [167]

Answer: The surface area of the planter will be 120.5 square feet.

Step-by-step explanation:  in our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.

The base will be 7 x 5 = 35 square feet.

The front and back side will each be 7 x 0.75 = 5.25 square feet.

The left and right side will each be 5 x 0.75 = 3.75 square feet.

If we add up the 5 faces we get:

35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet

5 0
3 years ago
I have to use trigonometric identities to solve. But I’m having trouble finding the values of cos A and sin B. Can anyone help m
katrin [286]

let's notice something, angles α and β are both in the I Quadrant, and on the first quadrant the x-coordinate/cosine and y-coordinate/sine are both positive.

\bf \textit{Sum and Difference Identities} \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(\alpha)=\cfrac{\stackrel{opposite}{15}}{\stackrel{hypotenuse}{17}}\impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}

\bf \pm\sqrt{17^2-15^2}=a\implies \pm\sqrt{64}=a\implies \pm 8 = a\implies \stackrel{I~Quadrant}{\boxed{+8=a}} \\\\[-0.35em] ~\dotfill\\\\ cos(\beta)=\cfrac{\stackrel{adjacent}{3}}{\stackrel{hypotenuse}{5}}\impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}

\bf \pm\sqrt{5^2-3^2}=b\implies \pm\sqrt{16}=b\implies \pm 4=b\implies \stackrel{\textit{I~Quadrant}}{\boxed{+4=b}} \\\\[-0.35em] ~\dotfill

\bf cos(\alpha - \beta)=\stackrel{cos(\alpha)}{\left( \cfrac{8}{17} \right)}\stackrel{cos(\beta)}{\left( \cfrac{3}{5} \right)}+\stackrel{sin(\alpha)}{\left( \cfrac{15}{17} \right)}\stackrel{sin(\beta)}{\left( \cfrac{4}{5} \right)}\implies cos(\alpha - \beta)=\cfrac{24}{85}+\cfrac{60}{85} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cos(\alpha - \beta)=\cfrac{84}{85}~\hfill

5 0
4 years ago
What does the y-intercept mean in this situation?​
Finger [1]

Answer:

jesus Christ is our lord and savior

5 0
3 years ago
Is 63 / 168 equivalent to 312 / 832 ​
melamori03 [73]

Answer:

No

Step-by-step explanation:

312 is not a multiple of 312 and 832 is not a multiple of 168.

Hope this helps :)

6 0
3 years ago
Read 2 more answers
You have a garden in your backyard that measures 15 meters by 20 meters. You want to place stepping stones around the perimeter
Anettt [7]

Answer:

0.5 m

Step-by-step explanation:

Given that the dimensions of the garden are 15 meters by 20 meters.

The area of the new garden (original garden + stone placed around the perimeter) is 336m².

Let d be the width of the border having stepping stones as shown in the figure. The shaded region in the figure is the area having stepping stones.

The area including the shaded region = (15+2d)(20+2d) m^2

\Rightarrow 336  = (15+2d)(20+2d) \\\\\Rightarrow 336  = 300+ 70 d +4d^2 \\\\\Rightarrow 4d^2 +70d+300-336=0 \\\\\Rightarrow 4d^2 +70d-36=0 \\\\\Rightarrow 2d^2 +35d-18=0 \\\\\Rightarrow 2d^2 +36d-d-18=0 \\\\\Rightarrow (2d-1)(d+18)=0 \\\\\Rightarrow (2d-1)=0, \; or \; (d+18) \\\\\Rightarrow d= 0.5\;or -18 \\\\

As the width of the stone border can't be a negative value, so taking the positive value.

Hence, the width of the stone border is 0.5 m.

So, the wi

7 0
3 years ago
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