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2 years ago

Which equation can be used to find the measure of angle FGE?

Mathematics

1 answer:

elena-s [515]2 years ago

3 0

SOH CAH TOA tells you

Sin(x) = Opposite/Hypotenuse

The side opposite x is 9; the hypotenuse is 15.2. Putting these values into the above equation gives you the second selection

sin(x) = 9/15.2

_____

SOH CAH TOA is a mnemonic that can be used to remember the definitions of the basic trig functions, sine, cosine, and tangent. In this context, A stands for the side Adjacent to the angle.

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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

7nadin3 [17]

The equation of the cone should be $z=\sqrt{x^2+y^2}$ . Parameterize $S$ by

$\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+u\,\vec k$

with $1\le u\le2$ and $0\le v\le2\pi$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=u\cos v\,\vec\imath+u\sin v\,\vec\jmath-u\,\vec k$

Then the integral of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_1^2(-u\cos v\,\vec\imath-u\sin v\,\vec\jmath+u^3\,\vec k)\cdot(u\cos v\,\vec\imath+u\sin v\,\vec\jmath-u\,\vec k)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_1^2(-u^2-u^4)\,\mathrm du\,\mathrm dv$

$=\displaystyle-2\pi\int_1^2(u^2+u^4)\,\mathrm du\,\mathrm dv=\boxed{-\frac{256\pi}{15}}$

3 0

2 years ago

Read 2 more answers

Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of

lisov135 [29]

Answer:

4 servings

Step-by-step explanation:

Yogurt in the container = 1 5/8 pounds

A serving = 3/8 pounds

how many servings of yogurt are in the container?

Servings in the yogurt container = total yogurt in the container / yogurt per servings

= 1 5/8 ÷ 3/8

= 13/8 × 8/3

= 13/3

= 4.33

To the nearest whole serving

= 4 servings

7 0

2 years ago

Which expression is equivalent to 4 sqrt 24x^6y/128x^4y^5

Stels [109]

The first step for finding out if the expression provided is equivalent to $\sqrt{4}$ is to reduce the fraction with $x^{4}$ .
$\frac{24 x^{2} y}{128 y^{5} }$
Now reduce the fraction with y.
$\frac{24 x^{2} }{128 y^{4} }$
Finally,, reduce the fraction with 8 to get your final answer.
$\frac{3 x^{2} }{16 y^{4} }$
Let me know if you have any further questions.
:)

5 0

2 years ago

At smith’s Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time

sergey [27]

Answer:

Jones family paid a total of $139

Step-by-step explanation:

Smith's Mountain Lake Boat provides Rental services that can be expressed as follows;

Total cost=cost per hour×number of hours rented+one time cleaning deal

For Benael's family;

Benael family total cost=Cost per hour×number of hours rented+one-time cleaning deal

where;

Benael family total cost=$226.50

Cost per hour=$25

Number of hours rented=11 am-6:30 pm=7 hours 30 minutes=7.5 hours

One time cleaning deal=x

Replacing;

226.50=(25×7.5)+x

187.5+x=226.50

x=226.50-187.5

x=39

One time cleaning deal=$39

For Jones family;

Jones family total cost=Cost per hour×number of hours rented+one-time cleaning deal

where;

Cost per hour=$25

Number of hours rented=9 am-1 pm=4 hours

One time cleaning deal=$39

Replacing;

Jones family total cost=(25×4)+39

Jones family total cost=$139

Jones family paid a total of $139

4 0

2 years ago

Rachit borrowed 15000 from his friend . He gave 3000 at the rate of 15% per annum and the remaining amount at the rate of 18% pe

White raven [17]

Answer:

Therefore he paid $10440 in 4 year.

Step-by-step explanation:

Given, Rachit borrowed $15000 from his friend. He gave $3000 at the rate 15% for 4 year.

Interest(I₁)= Prt here P= $3000, r=15% and t = 4 year

=$(3000×0.15×4)

=$1800

He gave $(15000-3000)= $12000 at the rate of 18%.

Interest(I₂)= Prt here P= $12000, r=18% and t = 4 year

=$(12000×0.18×4)

=$8640

Therefore he paid =$(1800+8640)=$10440 in 4 year.

7 0

2 years ago