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3 years ago

6

In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the fol

lowing is the length of MN ?
(1) 7
(2) 42
(3) 4 square root 3
(4) 2 square root 21

1 answer:

deff fn [24]3 years ago

3 0

Answer:

42

Step-by-step explanation:

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Transform the equation x-3y=-15 to express it in slope-intercept form

tiny-mole [99]

X -3y = -15

Subtract 'x' from each side:

-3y = -x - 15

Divide each side by -3 :

<em>y = 1/3 x + 5</em>

This is 'slope-intercept' form.

3 0

3 years ago

What is the volume of a rectangular prism with a length of 1. 4 meters, a width of 0. 5 meter, and a height of 1. 8 meters? 7. 5

mihalych1998 [28]

The volume of the rectangular prism will be $V=1.26m^{3}$

<h3>What will be the volume of the rectangular prism ?</h3>

Given that

$\rm Lenth \ of \ the \ rectangular \ prism =1.4\ m$

$\rm width\ of \ prism=0.5\ m$

$\rm Height \ of \ prism=1.8\ m$

$\rm Volume \ of \ the \ Rectangular \ Prism= L\times W\times H$

$V=1.4\times 0.5\times1.8=1.26 \ m^{3}$

Thus the volume of the rectangular prism will be $V=1.26m^{3}$

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brainly.com/question/24284033

6 0

2 years ago

1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that

valina [46]

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

$z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

$z=\frac{100000-72641}{30000}=0.91$

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

$z=\frac{100000-72641}{30000/\sqrt{5} }=2.04$

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

$z=\frac{100000-72641}{30000/\sqrt{10} }=2.88$

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

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2 years ago

Solve the formula s=4pi r^2 for r

andrew11 [14]

Answer:

The formula to find the surface area of a sphere is to take the radius of the sphere and square it and multiply that amount by pi and then multiply that by 4. This is written algebraically as S=4πr2, where S is the surface area, r is the radius, and the value of π is 3.14.

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2 years ago

Write the standard equation of the circle: x^2 +2x + y^2 =55 +10y

lidiya [134]

$x^2 +2x + y^2 =55 +10y\\(x+1)^2+(y-5)^2=81$

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2 years ago