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3 years ago

In circle Y, what is m? 59° 67° 71° 118°

Mathematics

2 answers:

galina1969 [7]3 years ago

8 0

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

 $\frac{arc \ SR+arc \ TU}{2}=63 \\ \\ 55+arc \ TU=63*2 \\ \\55+arc \ TU=126\\\\ \ arc \ TU = 126-55=71^o$

masha68 [24]3 years ago

5 0

Answer:

$arc\ TU=71\°$

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

In this problem we have that

$63\° =\frac{1}{2}(arc\ SR+arc\ TU)$

we have

$arc\ SR=55\°$

substitute and solve for arc TU

$63\° =\frac{1}{2}(55\°+arc\ TU)$

$126\° =(55\°+arc\ TU)$

$arc\ TU=126\°-55\°=71\°$

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PLEASE HELP ASAP

Solnce55 [7]

Answer:

18.68 feet

Step-by-step explanation:

- Just did the quiz

- Also plugged it into a calculator I found online

7 0

3 years ago

Hope Amelia Solo, the American soccer goalkeeper, World Cup champion and two-time Olympic gold medalist, allows goals at a rate

Nuetrik [128]

Answer:

3.70% probability she allows more than one goal

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

X~Pois(0.3)

This means that $\mu = 0.3$

In her next match, what is the probability she allows more than one goal?

Either she allows at most one goal, or she allows more than one goal. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 1) + P(X > 1) = 1$

We want $P(X > 1)$ . So

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.3}*(0.3)^{0}}{(0)!} = 0.7408$

$P(X = 1) = \frac{e^{-0.3}*(0.3)^{1}}{(1)!} = 0.2222$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.7408 + 0.2222 = 0.9630$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.9630 = 0.0370$

3.70% probability she allows more than one goal

3 0

3 years ago

maeve and her 3 friends are splitting candy they got for halloween. they have 5/6 of a pound of candy that they want to split eq

DiKsa [7]

So, you divide 5/6 lb by 3 since there are 3 girls. To divide a fraction by a number simply multiply it by the reciprocal of the number:

(5/6 lb)/3 = 5/6 lb * 1/3 = 5/9 lb

Each girl receives 5/9 of the pound of candy.

8 0

3 years ago

Find the distance between the points (-4,9) and (5, -3).

Irina-Kira [14]

Answer:

<h2>15 units</h2>

Step-by-step explanation:

The formula of a distance between two points:

$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}$