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2 years ago

A price increase from $12 to $15 find the percent of increase

Mathematics

2 answers:

Alina [70]2 years ago

7 0

Old =12
New = 15
Change =12-15 so 3

3/12
x/100 so the increase equals 4,the answer is 4%

olganol [36]2 years ago

6 0

There is a 125% increase

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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

2 years ago

joes family has compleated 60% of a road trip. if they have traveld 30 miles, how far is the full road trip?

Tems11 [23]

The full road trip is 50 miles.

Step-by-step explanation:

Given,

Distance traveled by Joe's family = 30 miles

This represents 60% of the total distance to be traveled.

Let,

x be the total distance.

60% of x = 30

$\frac{60}{100}*x=30\\0.6x=30$

Dividing both sides by 0.6

$\frac{0.6x}{0.6}=\frac{30}{0.6}\\x=50\ miles$

The full road trip is 50 miles.

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

4 0

3 years ago

What is the circumference of a circle with a diameter of 30 cent

Allushta [10]

Circumference of a circle is the diameter times 3.14

And we have a diameter of 30 cm

So the circumference = 30 * 3.14 = 94.2 cm

I hope that helps!

4 0

2 years ago

What is the answer to -3k-(-8)+2

NISA [10]

Answer:

-3k + 10

Step-by-step explanation:

-3k - (-8) + 2

-3k + 8 + 2 !!

-3k + 10 → simplified version of the given expression

!! → We got rid of the parenthesis by combining the two negative signs. The rules state that any 2 identical signs combined (in this case, - and -) equal a positive sign (+).

Hope it helped,

BiologiaMagister

6 0

2 years ago

Read 2 more answers

Fatima earned 6 more than twice as many dollars as Noora. If Fatima earned 40 QR, how much did Noora earn?

-Dominant- [34]

86.
Fatima has 40
Nora has “6 + (40 x 2)”
6+(80) = 86

4 0

2 years ago