All categories

3 years ago

I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT

Mathematics

1 answer:

tresset_1 [31]3 years ago

3 0

1. Angle addition postulate
2.x=15

You might be interested in

What is the opposite of +43

IceJOKER [234]

Answer:

The opposite number of +43 is -43 , I hope this is helpful :)

7 0

3 years ago

What Is the solution for the equatlon 6x - 8 = 4X? X= (Input whole number only).

dem82 [27]

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 4x

-6x -6x

-8 = -2x

-----------

-2

x = 4

5 0

3 years ago

evaluate the line integral ∫cf⋅dr, where f(x,y,z)=5xi−yj+zk and c is given by the vector function r(t)=⟨sint,cost,t⟩, 0≤t≤3π/2.

meriva

We have

$\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} \vec f(\vec r(t)) \cdot \dfrac{d\vec r}{dt} \, dt$

and

$\vec f(\vec r(t)) = 5\sin(t) \, \vec\imath - \cos(t) \, \vec\jmath + t \, \vec k$

$\vec r(t) = \sin(t)\,\vec\imath + \cos(t)\,\vec\jmath + t\,\vec k \implies \dfrac{d\vec r}{dt} = \cos(t) \, \vec\imath - \sin(t) \, \vec\jmath + \vec k$

so the line integral is equilvalent to

$\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (5\sin(t) \cos(t) + \sin(t)\cos(t) + t) \, dt$

$\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (6\sin(t) \cos(t) + t) \, dt$

$\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (3\sin(2t) + t) \, dt$

$\displaystyle \int_C \vec f \cdot d\vec r = \left(-\frac32 \cos(2t) + \frac12 t^2\right) \bigg_0^{\frac{3\pi}2}$

$\displaystyle \int_C \vec f \cdot d\vec r = \left(\frac32 + \frac{9\pi^2}8\right) - \left(-\frac32\right) = \boxed{3 + \frac{9\pi^2}8}$

7 0

2 years ago

Melanie invested $3,800 in an account paying an interest rate of 2% compounded

IRISSAK [1]

Answer:

101

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The graph represents a distribution of data.

chubhunter [2.5K]

Answer:

Mean = 50

Step-by-step explanation:

Step 1: Write the mean formula

Mean = sum of data/ total number of data

Step 2: Calculate the sum of data

35 + 40 + 45 +50 + 55 + 60 + 65 = 350

Step 3: Find the total number of data

Total number of data = 7

Step 4: Calculate the mean

Mean = sum of data/ total number of data

Mean = 350/7

Mean = 50

Therefore, the mean of this data is 50.

5 0

2 years ago

Read 2 more answers