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2 years ago

24. If 2A = 3B = 4C then A:B:CanisO a 23:4O b. 4:32O c. 6:4:3O d. 3:4:2

Mathematics

1 answer:

katovenus [111]2 years ago

3 0

Answer:

the answer is c. 6:4:3

Step-by-step explanation:

a=6; b=4; c=3

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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 $\theta =79.48^\circ$ .

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2 years ago

Chris worked 28 hours last month and earned $9 per hour. He spent $18 of his earnings since then.How much money does he have lef

uranmaximum [27]

The answer would be 234. You will multiply 28 by 9 and minus 18.

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2 years ago

Read 2 more answers

These People! I can’t do this!!! I need YOU!

Marianna [84]

Let’s solve for “a” and “s”.

a = 927 - 45s
a = 792 - 36s

927 - 45s = 792 - 36s
927 - 792 = 45s - 36s
135 = 9s
s = 15
a = 927 - (45 x 15) = 252

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1 year ago

How many degrees there in 3/5 right angle A. 180 B. 90 C. 150 D. 54

Natalija [7]

Answer:

D. 54

Step-by-step explanation:

Right angle = 90°

3/5 of 90°

3/5 × 90°

270 ÷ 5 = 54°

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2 years ago

An experiment will be conducted in which 20 pepper plants are randomly assigned to two groups. The plants in Group 1 will receiv

Studentka2010 [4]

The experimental units in this experiment are the 10 plants in group 2.

The experimental unit is a term used in science to refer to an individual or group of objects that are initially equivalent and then undergo experimental processes.

According to the above, the experimental unit of this experiment is the group 2 of plants because these are the plants that are going to be put into experimentation with a new fertilizer.

Then, the answer is D, because it refers to the experimental unit corresponding to this experiment.

Learn more in: brainly.com/question/17034824

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2 years ago

24. If 2A = 3B = 4C then A:B:CanisO a 23:4O b. 4:32O c. 6:4:3O d. 3:4:2​

24. If 2A = 3B = 4C then A:B:CanisO a 23:4O b. 4:32O c. 6:4:3O d. 3:4:2