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2 years ago

PLEASE HELP DETAILS ARE BELOW I WILL RATE BRAINIEST CHORD AND ARCS FIND THE MEASURE OF ARC CD DETAILS BELOW

Mathematics

2 answers:

Ira Lisetskai [31]2 years ago

8 0

Wouldn’t it be 36.7 because that’s the arch am I right?

kaheart [24]2 years ago

6 0

Answer:

The measure of arc CD is 114.6°.

Step-by-step explanation:

Let the center of the circle be O and OP is perpendicular to CD at point point P.

The perpendicular line from the center of circle divide each chord in two equal parts. so, CP=DP.

$CP=\frac{CD}{2}=\frac{36.7}{2}=18.35$

In a right angles triangle,

$\sin\theta =\frac{opposite}{hypotenuse}$

In a right angles triangle OPC,

$\sin\angle POC =\frac{18.35}{21.8}$

$\angle POC =\sin^{-1} (\frac{18.35}{21.8})$

$\angle POC \approx 57.3$

In triangle OPC and OPD,

$OC=OD$ (Radius)

$OP=OP$ (Reflexive property)

$CP=DP$ (Altitude on chord from center)

By SSS postulate

$\triangle OPC\cong \triangle OPD$

$\angle POC\cong \angle POD$ (CPCTC)

$\angle POC=\angle POD$

The measure of angle COD is

$\angle COD=\angle POC+\angle POD$

$\angle COD=2\angle POC$

$\angle COD=2(57.3)$

$\angle COD=114.6$

Therefore the measure of arc CD is 114.6°.

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Every weekday after tennis practice, Will buys either a carton of milk or a bottle

Gemiola [76]

Answer:

The correct options are;

The cost of milk powder is $3 per bottle

An equivalent expression for the total cost of Will's beverages during this month is 60 - m dollars

Step-by-step explanation:

The given information are;

The items Will buys every weekday after tennis practice = A carton of milk or a bottle of powder drink

The number of milk purchased during the month = m

Will's total cost for beverages in dollars last month = 2·m + 3·(20 - m)

1) Therefore, given that the total amount is factored in dollars, we have;

2·m and 3·(20 - m) are dollar amounts, while, m is a quantity;

Therefore;

Where;

2·m = The total cost of the cartons of milk, then the factor 2 represents $2.00 which is the cost per carton of milk

Similarly, 3·(20 - m) can be said to represent the total cost of the powder drink then the factor 3 represents $3.00 which is the cost per powder drink and the factor (20 - m), represents the number of powder drink Will buys for the month

From which we found the cost of milk powder = $3.00 per bottle

2) The expression, 2·m + 3·(20 - m) simplifies to 2·m + 60 - 3·m, which gives;

2·m + 60 - 3·m = 60 - m which is an equivalent expression for the total cost of Will's beverages for the month.

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3 years ago

4. Assume that the chances of a basketball player hitting a 3-pointer shot is 0.4 and the probability of hitting a free-throw is

vovikov84 [41]

Answer:

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

Step-by-step explanation:

For each 3-pointer shot, there are only two possible outcomes. Either the player makes it, or the player does not. The same is valid for free throws. This means that both the number of 3-pointers and free throws made are given by binomial distributions.

Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of making 3 3-pointers out of 10:

The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that $p = 0.4$ . So this is $P(X = 3)$ when $n = 10$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.21499$

Probability of making 5 free throws out of 10:

The probability of hitting a free-throw is 0.65, which means that $p = 0.65$ . The probability is $P(X = 5)$ when $n = 10$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{10,5}.(0.65)^{5}.(0.35)^{5} = 0.15357$

Calculate the probability that the player will make exactly 3 3-pointers and 5-free throws.

0.21499*0.15537 = 0.0334

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

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3 years ago

In the figure, GK bisects FGH

bija089 [108]

Answer:

$w = 7$

Step-by-step explanation:

Given:

m<FGK = (7w + 3)°

m<FGH = 104°

angle bisector of <FGH = GK

Required:

Value of w

SOLUTION:

Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:

m<FGH = 2*m<FGK

$104 = 2*(7w + 3)$ (substitution)

Divide both sides by 2

$\frac{104}{2} = \frac{2*(7w + 3)}{2}$

$52 = 7w + 3$

Subtract 3 from each side

$52 - 3 = 7w + 3 - 3$

$49 = 7w$

Divide both sides by 7

$\frac{49}{7} = \frac{7w}{7}$

$7 = w$

$w = 7$

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3 years ago

Tanikwa started a new exercise program using the indoor track. In her first workout she ran 8 laps for every 4 laps that she wal

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Answer:

The correct answer would be 2:1

Step-by-step explanation:

In order to find this, start with the ratio as it is written and sub in the values. Then simplify to the lowest possible terms.

Ran:Walker

8:4

2:1

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3 years ago

What is 2 5/12 -(-2 1/6) Express the answer in simplest form.

VladimirAG [237]

Answer:
= 29/12 − -13/6

<span>= ((29 × 6) − (-13 × 12)) / (12 × 6) </span>

= (174 - -156) / 72

= 330/72

= 55/12

<span>= 4 7/12</span>

3 0

3 years ago