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2 years ago

Which arc is a minor arc?

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

4 0

A minor arc is an arc of a circle having measure less than or equal to radians and it is an arc smaller than a semicircle. In the given figure, EC is the minor arc as it is an arc smaller than a semicircle. EGF, ECG and GCE are not the minor arcs as these arcs does not have measure less than or equal to radians and these arcs are also not smaller than a semicircle.

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Calculate the flux of the vector field F⃗ (x,y,z)=(exy+9z+4)i⃗ +(exy+4z+9)j⃗ +(9z+exy)k⃗ through the square of side length 3 wit

ikadub [295]

The square (call it $S$ ) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is $\vec n=\vec\imath-\vec k$ , which is enough information to figure out the equation of the plane containing $S$ :

$(x\,\vec\imath+y\,\vec\jmath+z\,\vec k)\cdot(\vec\imath-\vec k)=0\implies x-z=0\implies z=x$

We can parameterize this surface by

$\vec s(x,y)=x\,\vec\imath+y\,\vec\jmath+x\,\vec k$

for $0\le x\le\frac3{\sqrt2}$ and $0\le y\le3$ . Then the flux of $\vec F$ , assumed to be

$\vec F(x,y,z)=(e^{xy}+9z+4)\,\vec\imath+(e^{xy}+4z+9)\,\vec\jmath+(9ze^{xy})\,\vec k$ ,

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\iint_S\vec F(\vec s(x,y))\cdot\vec n\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^3\int_0^{3/\sqrt2}\left((4+e^{xy}+9x)\,\vec\imath+(9+e^{xy}+4x)\,\vec\jmath+(e^{xy}+9x)\,\vec k\right)\cdot(\vec\imath-\vec k)\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^3\int_0^{3/\sqrt2}4\,\mathrm dx\,\mathrm dy=\boxed{18\sqrt2}$

3 0

2 years ago

Can someone please help me? :(

Anit [1.1K]

Answer:

____________________________________

$\large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}$

$\large{ \boxed{ \tt{♡ \: VOLUME \: = l \: \times b \: \times h}}}$

$\longrightarrow \: 4 \frac{1}{3} \times 3 \frac{1}{3} \times 4$

$\longrightarrow \: \frac{13}{3} \times \frac{10}{3} \times 4$

$\longrightarrow \: \frac{540}{9}$

$\longrightarrow \tt \: 57 \frac{7}{9} \: ft ^{3}$

Our final answer is 57 7 / 9 ft^3 .

- HappY LearninG ^_________^

4 0

1 year ago

brad converted 5/11 to a decimal, and his result was repeating decimal. does this mean that the value is rational or irrational?

Alina [70]

Answer: It means the value is rational

Step-by-step explanation:

Repeating decimals can be converted to fractions and rational numbers are numbers that can be expressed as a fraction but irrational numbers cannot be expressed as a fraction and neither does it terminate or repeat.

4 0

2 years ago

1.Calculate Puan Rohana's monthly cash flow

IRINA_888 [86]

Answer:

Step-by-step explanation:

Puan Rohana's income = Active income + passive income

= 2000 + 450

= RM 2450

Expenses = 1680 + 400

= RM 2080

Total expenses increased by 40%

New expenses after 40% increase = 2080 + 40% of 2080

= 2080 + (0.4 * 2080)

= 2080 + 832

= RM 2912

Puan Rohana's expenses is more than there income

6 0

2 years ago

A local chess club claims that the length of time to play a game has a standard deviation of more than 13 minutes. Write sentenc

tatyana61 [14]

Answer:

Step-by-step explanation:

A type I error occurs when the researcher rejects the null hypothesis when it is actually true.

A type II error occurs when the research fails to reject the null hypothesis when it is not true.

In this case study,

The null hypothesis is the standard deviation is less that or equal to 13min.

The alternative hypothesis would be that the standard deviation is greater than 13mins.

A type I error would occur when having done an experiment, the researcher rejects the null hypothesis when there is enough evidence that it is actually either less or equal to 13mins

A type II error would occur when the researcher fails to reject the null hypothesis when there is enough evidence that it is actually more than 13mins.

6 0

2 years ago