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3 years ago

PLS HELP I WILL MARK BRAINLIEST (EDITED)

Mathematics

1 answer:

Vinvika [58]3 years ago

7 0

Answer:

51.9

Step-by-step explanation:

because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).

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in febuary you have a balance of $270 in your bank account. each month you deposit $45. let january=1, febuary=2 and so on. brai

Lynna [10]

Answer:

$450 in June

Step-by-step explanation:

$X = 270 + 45 × ( number of month)

In this problem, February, the month you start with, would be month 0.

June would be 4.

$X = 270 + 45 × 4

= 270 + 180

= $450 in June

3 0

2 years ago

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z = xyi + 5zj + 7yk,

Helga [31]

The intersection can be parameterized by

$C:=\mathbf r(t)=\begin{cases}x(t)=6\cos t\\y(t)=6\sin t\\z(t)=5-6\cos t\end{cases}$

with $0\le t$ .

By Stoke's theorem, the integral of $\mathbf f(x,y,z)=xy\,\mathbf i+5z\,\mathbf j+7y\,\mathbf k$ along $C$ is equivalent to

$\displaystyle\int_C\mathbf f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r(t)=\iint_S\nabla\times\mathbf f\,\mathrm dS$

where $S$ is the region bounded by $C$ . The line integral reduces to

$\displaystyle\int_0^{2\pi}(36\sin t\cos t\,\mathbf i+(25-30\cos t)\,\mathbf j+42\sin t\,\mathbf k)\cdot(-6\sin t\,\mathbf i+6\cos t\,\mathbf j+6\sin t\,\mathbf k)\,\mathrm dt$
$=\displaystyle\int_0^{2\pi}(54(\cos3t-\cos t)-30(3\cos2t-5\cos t+3)+(126-126\cos2t)\,\mathrm dt$
$=\displaystyle\int_0^{2\pi}(36+96\cos t-216\cos2t+54\cos3t)\,\mathrm dt$
$=72\pi$

4 0

3 years ago

I only need the first one ( 45% of 30) but please keep in mind that I do need help with the other two, but they are optional.

Usimov [2.4K]

45% of 30 is 13.5
40% of 175 is 70
20% of 60 is 12

6 0

2 years ago

Read 2 more answers

Find the solution of this system of equations<br> 4x - 5y = -12<br> -X + 5y = 18

Natalka [10]

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

7 0

2 years ago

6. A plumber charges $45 for travel and $60 per hour. The cost for h hours can be found using this

arsen [322]

Hope This Helps You!!!

Have a great day!!!

7 0

3 years ago