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harkovskaia [24]

3 years ago

6

A scale on a map shows that 2.5 centimeters represents 15 kilometers. What number of actual kilometers are represented by 17.5 c

entimeters on the map?

1 answer:

Pavlova-9 [17]3 years ago

4 0

Answer:

105

Step-by-step explanation:

to get this you must first divide 17.5 by 2.5 to see how many times to multiply 15 by 2.5

sorry if it does not make scence

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The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc

masya89 [10]

Answer:

Therefore the angle of intersection is $\theta =79.48^\circ$

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

$r_1(t)=(2t,t^2,t^4)$

and $r_2(t)=(sin t , sin5t, 2t)$

To find the tangent of a carve , we have to differentiate the carve.

$r'_1(t)=(2,2t,4t^3)$

The tangent at (0,0,0) is [ since the intersection point is (0,0,0)]

$r'_1(0)=(2,0,0)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2$

Again,

$r'_2(t)=(cos t ,5 cos5t, 2)$

The tangent at (0,0,0) is

$r'_2(0)=(1 ,5, 2)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}$

If θ is angle between tangent, then

$cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}$

$\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }$

$\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }$

$\Rightarrow cos \theta =\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =cos^{-1}\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =79.48^\circ$

Therefore the angle of intersection is $\theta =79.48^\circ$ .

8 0

3 years ago

Caroline has 10 marbles. One half of them are blue. How many marbles are blue?

Viktor [21]

Answer: 5

One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5

6 0

3 years ago

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Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B1221%20%5Ctimes%201221%7D%20" id="TexFo

densk [106]

Answer:

$1221\sqrt{x}$

Step-by-step explanation:

1221 x 1221 = 1490841

square root of 1490841 is 1221

8 0

3 years ago

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For the figure shown on the right, find the value of the variable and the measures of the angles. PLZ HELP

pychu [463]

P=69 degrees
Q=71 degrees
R=40 degrees

Explanation

All triangles equal up to 180 degrees.
First add all numbers without x.
Then add all xs.

5x+20=180
Subtract 20 from 180

5x=160
Divide 160 by 5

x=40

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3 years ago

Has one negative and one positive coefficient Simplifies to 5x + 12

rosijanka [135]

Answer:

Step-by-step explanation:

whats the question here lol

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3 years ago