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3 years ago

...can someone help me?

Mathematics

1 answer:

vladimir2022 [97]3 years ago

3 0

Answer:

Step-by-step explanation:

The arc length is very different from the arc measure, so make sure you know the difference. Arc length is measures in feet or inches or meters or cm, etc., while arc measure is measured in degrees, like angles. The formula we need for arc length includes the circumference of a circle formula, since the arc is part of the circumference. The formula includes the angle that cuts off that arc:

$AL=\frac{\theta}{360}*2\pi r$ where theta is the central angle that cuts off the arc we are finding the length of. That angle is 100 degrees; the radius if 12. Filling in the formula with those values and using 3.14 for pi:

$AL=\frac{100}{360}*2(3.14)(12)$ Simplifying a bit gives us:

$AL=\frac{100(2)(3.14)(12)}{360}$

Multiplying straight across the top and then dividing by 360 gives you a length of 20.93 inches. The first choice.

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A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the

Inga [223]

Answer:

See the explanation below

Step-by-step explanation:

Number of months =4

Number of copies =450000

Number of pages =60

Number of copies in 4 months =450000*4

=1800000

Number of pages is

=1800000 *60

=108,000,000

7 0

2 years ago

HELP ASAP ASAP ASAP ASAP ASAP ASAP

pishuonlain [190]

Answer:

x = 35 feet.

Step-by-step explanation:

Given that,

The height of the person is 5 feet.

The height of the flag and the eye is (x-5) feet.

We can calculate using trigonometry.

$\tan\theta=\dfrac{(x-5)}{30}\\\\\tan(45)=\dfrac{(x-5)}{30}\\\\(x-5)=30\\\\x=30+5\\\\x=35\ ft$

So, the value of x is equal to 35 feet. The correct option is (c).

5 0

3 years ago

Graph triangle RST with vertices R(3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over x = -3.

kirill115 [55]

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

$(x,y)\to (-(x-a)+a,y)$

$(x,y)\to (-x+a+a,y)$

$(x,y)\to (2a-x,y)$

The triangle after a reflection over x = -3. So, the rule of reflection is

$(x,y)\to (2(-3)-x,y)$

$(x,y)\to (-6-x,y)$

The vertices of triangle after reflection are

$R(3,7)\to R'(-6-3,7)$

$R(3,7)\to R'(-9,7)$

Similarly,

$S(-5,-2)\to S'(-6-(-5),-2)$

$S(-5,-2)\to S'(-6+5,-2)$

$S(-5,-2)\to S'(-1,-2)$

And,

$T(3,-5)\to T'(-6-3,-5)$

$T(3,-5)\to T'(-9,-5)$

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

3 0

3 years ago

The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately 0.7. What is the probability

victus00 [196]

Answer: 0.2401

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$

where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately: p =0.7.

Number of trials : n= 4

Now, the required probability will be :

$P(x=4)=^4C_4(0.7)^4(1-0.7)^{4-4}\\\\=(1)(0.7)^4(1)=0.2401$

Thus, the probability that, in a randomly selected sample of four citizen-entities, all of them are of pension age =0.2401

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2 years ago

What is the simplified expression for the expression below 4(x+8)+5(x-3)

Alexxx [7]

Answer:9x+17

Step-by-step explanation:

4 0

3 years ago

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