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3 years ago

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A club has 6 members. From these members,the positions of president and vice president have to be filled. In how many different

ways can these 2 positions be filled?

1 answer:

Eddi Din [679]3 years ago

6 0

<h3>Therefore, in $^6C_2$ =15 ways can these 2 position be filled .</h3>

Step-by-step explanation:

Given a club has 6 members. From these member ,the position of president and vice president have to be filled.

Therefore, in $^6C_2$ =15 ways can these 2 position be filled

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Find the area of the given shape

kramer

Answer:

The area of a circle is defined as πr², where r = the radius

In this problem, A = π(12)² = 144π square units

Pi is approximately 3.14

A = 144(3.14) = 452.16 square units

Step-by-step explanation:

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3 years ago

HELP!!! ASAP!!!! TRIG!!!

RSB [31]

Answer:

Identity is true

Step-by-step explanation:

$\frac{cos\theta+1}{tan^2\theta}=\frac{cos\theta}{sec\theta-1}$

$(cos\theta+1)(sec\theta-1)=(tan^2\theta)(cos\theta)$

$(cos\theta)(sec\theta)+(cos\theta)(-1)+(1)(sec\theta)+(1)(-1)=(\frac{sin^2\theta}{cos^2\theta})(cos\theta)$

$(cos\theta)(\frac{1}{cos\theta})-cos\theta+sec\theta-1=\frac{sin^2\theta}{cos\theta}$

$1-cos\theta+sec\theta-1=\frac{sin^2\theta}{cos\theta}$

$-cos\theta+sec\theta=\frac{sin^2\theta}{cos\theta}$

$sec\theta-cos\theta=\frac{sin^2\theta}{cos\theta}$

$\frac{1}{cos\theta}-cos\theta=\frac{sin^2\theta}{cos\theta}$

$\frac{1}{cos\theta}-\frac{cos^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}$

$\frac{1-cos^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}$

$\frac{sin^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}$

Therefore, the identity is true.

<u>Helpful tips:</u>

Pythagorean Identity: $sin^2\theta+cos^2\theta=1\\cos^2\theta=1-sin^2\theta\\sin^2\theta=1-cos^2\theta$

Quotient Identities: $tan\theta=\frac{sin\theta}{cos\theta},sec\theta=\frac{1}{cos\theta}$

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3 years ago

A roast chicken with a base price of $6.89 is marked up by 21%. What is the new price, to the nearest cent?

topjm [15]

6.89(1.21) = 8.3369 rounds to 8.34 <==

or u could also do it this way...
6.89 + 0.21(6.89) = 6.89 + 1.4469 = 8.3369 rounds to 8.34 <==

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4 years ago

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Calculate the distance between point B (3,-7) and point C (0,8) on the coordinate grid

LUCKY_DIMON [66]

Answer:

Distance= 15.3

Step-by-step explanation:

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3 years ago

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A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The

enot [183]

Answer:

$\frac{11}{12}\pi r^{2}h\ units^{3}$

Step-by-step explanation:

we know that

<em>Te volume of the cone is equal to</em>

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=(r/2)\ units$

substitute

$V=\frac{1}{3}\pi (r/2)^{2}h$

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<em>Te volume of the cylinder is equal to</em>

$V=\pi r^{2}h$

we know that

To find the volume of the space remaining in the cylinder after the cone is placed inside it, subtract the volume of the cone from the volume of cylinder

so

$\pi r^{2}h-\frac{1}{12}\pi r^{2}h=\frac{11}{12}\pi r^{2}h\ units^{3}$

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3 years ago