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Strike441 [17]
3 years ago
13

The distance from Leoti, Kansas to Dighton, Kansas on the map is approximately 2.5 inches. The key to the map states that 1 inch

is equal to 20 miles. Which of the following best approximates the distance from Leoti to Dighton?

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

I believe its 50

Step-by-step explanation:

since the distance is 2.5 inches and each inch is equivalent to 20 miles

2.5x20=50

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Mark did 2/5 of a job and Alan did 1/3 of the remainder. The fraction of the job left undone
Evgesh-ka [11]
2/5=4/10=12/30 1/3=10/30 12/30+10/30=22/30 22/30=11/15
4 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION
alekssr [168]

Answer:

The second option, 1,008 cm²

Step-by-step explanation:

   This shape has 5 sides to solve for with reguards to surface area.

   Let us solve for them all.

[1 & 2 - the triangles]

12 * 9 = 108 cm²

-> I am not going to divide since we have 2 congruent triangles

[3 - the bottom side]

25 * 12 = 300 cm²

[4 - the side facing away]

25 * 9 = 225 cm²

[5 - the side facing up]

25 * 15 = 375 cm²

   Now we will add them together for the total.

108 + 300 + 225 + 375 = 1,008 cm²

             The surface area for the triangular prism shown is 1,008 cm².

7 0
2 years ago
Read 2 more answers
15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find<br>dy/dx at =22/7*4<br>​
Sav [38]

By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}

It looks like we're given

\begin{cases}x=a\sin(2t)(1+\cos(2t))\\y=b\cos(2t)(1-\cos(2t))\end{cases}

where <em>a</em> and <em>b</em> are presumably constant.

Recall that

\cos^2t=\dfrac{1+\cos(2t)}2

\sin^2t=\dfrac{1-\cos(2t)}2

so that

\begin{cases}x=2a\sin(2t)\cos^2t\\y=2b\cos(2t)\sin^2t\end{cases}

Then we have

\dfrac{\mathrm dx}{\mathrm dt}=4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t

\dfrac{\mathrm dy}{\mathrm dt}=-4b\sin(2t)\sin^2t+4b\cos(2t)\sin t\cos t

\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4b\cos(2t)\sin t\cos t-4b\sin(2t)\sin^2}{4a\cos(2t)\cos^2t-4a\sin(2t)\cos t\sin t}

\implies\boxed{\dfrac{\mathrm dy}{\mathrm dx}=\dfrac ba\tan t}

where the last reduction follows from dividing through everything by \cos(2t)\cos^2t and simplifying.

I'm not sure at which point you're supposed to evaluate the derivative (22/7*4, as in 88/7? or something else?), so I'll leave that to you.

8 0
3 years ago
In need help with the answer
gayaneshka [121]

Answer:

2

Step-by-step explanation:

there is 2:   3<u>  1  </u>

                      4

3 0
3 years ago
A circular pizza is being made that will fit in a box that is 14 inches by 16 inches. A 2-inch border is needed between the edge
aliina [53]

Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.

Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.

The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)

And the radius is = \frac{10}{2}=5 inches.

So, the largest pizza that can fit in the box will have a radius of 5 inches.

8 0
3 years ago
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