Use a trigonometric ratio to solve for b. Round to two decimal places as necessary!!
HELP

Question 6

1) [tex]\overline{AB} \cong \overline{BD}[/tex], [tex]\overline{CD} \perp \overline{BD}[/tex], O is the midpoint of [tex]\overline{BD}[/tex], [tex]\overline{AB} \cong \overline{CD}[/tex] (given)

2) [tex]\angle ABO, \angle ODC[/tex] are right angles (perpendicular lines form right angles)

3) [tex]\triangle ABO, \triangle CDO[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\overline{BO} \cong \overline{OD}[/tex] (a midpoint splits a segment into two congruent parts)

5) [tex]\triangle ABO \cong \triangle CDO[/tex] (LL)

Question 7

1) [tex]\angle ADC, \angle BDC[/tex] are right angles), [tex]\overline{AD} \cong \overline{BD}[/tex]

2) [tex]\overline{CD} \cong \overline{CD}[/tex] (reflexive property)

3) [tex]\triangle CDA, \triangle CDB[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\triangle ADC \cong \triangle BDC[/tex] (LL)

5) [tex]\overline{AC} \cong \overline{BC}[/tex] (CPCTC)

Question 8

1) [tex]\overline{CD} \perp \overline{AB}[/tex], point D bisects [tex]\overline{AB}[/tex] (given)

2) [tex]\angle CDA, \angle CDB[/tex] are right angles (perpendicular lines form right angles)

3) [tex]\triangle CDA, \triangle CDB[/tex] are right triangles (a triangle with a right angle is a right triangle)

4) [tex]\overline{AD} \cong \overline{DB}[/tex] (definition of a bisector)

5) [tex]\overline{CD} \cong \overline{CD}[/tex] (reflexive property)

6)  [tex]\triangle ADC \cong \triangle BDC[/tex] (LL)

7) [tex]\angle ACD \cong \angle BCD[/tex] (CPCTC)

Postulate: SAS

Similarity statement: [tex]\triangle CAB \sim \triangle EDF[/tex]

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

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Answer:

A. 14, because it says that only 14 liked English language ONLY

B. It’s 7.

14 liked only English, 7 liked both languages, 12 liked only French.

Add those them together.

14 + 7 + 12

21 + 12

33

33 - 40 = 7

( 33 is the number of students that liked a language and 40 is ALL the students in total )

So it would be 7.

C. 26 liked one language.

7 liked both languages and 7 didn’t like neither. You could add them together.

7 + 7 = 14

40 - 14 = 26

OR

14 + 12 = 26
( just English + just French )

D. The probability of a student chosen at random that ONLY likes French would be 12/40.

Since only 12 of the 40 students liked ONLY French, it would be 12/40 or 12 : 40

Step-by-step explanation:

I hope it helps! Have a great day!

Pan~

Answer:

a) 14
b) 7
c) 33
d) P = 12/40 = 3/10 (In decimal P=0.3)

Step-by-step explanation:

Hope this helps

Answer:

$96

Step-by-step explanation:

The solution of the given equation can be all real numbers, except c = 0 and c = 3.

Lets simplify the given problem,

1/c-3 - 1/c = 3/ (c-3)

As the denominators cannot be equal to zero (0) because a division by zero (0) is undefined.

Next, we would multiply both sides of the given by the lowest common multiple (LCM).

The lowest common multiple (LCM) is c(c - 3).

c-[c-3] = 3

c-c+3 = 3

0 = 3-3

0=0

Therefore, the solution of the given equation can be all real numbers, except c = 0 and c = 3.

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Answer:

8 books have not been read.

Step-by-step explanation:

Let X be the number of books Tara owns.

We learn that she has read 95%, which would mean (0.95)*(X) have already been read.

5% have not been read.  5% 0f 160 books equals (0.05)*(160) = 8 books have not been read.  Impressive.

a) As the constants are equal, the situation represents a proportional relationship.

b) The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constants for each situation are:

k = 30/45 = (30/15)/(45/15) = 2/3 = 20/30.

Since the constants are equal, the situation represents a proportional relationship.

The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

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Answer:

Step-by-step explanation:

y=2*|x-3|+2

y=|2*x-2*3|+2

y=|2x-6|+2

1)

y=2x-6

x | 2 | 3 |

y | -2| 0 |

2)

y=|2x-6|

3)

y=|2x-6|+2

y=2*|x-3|+2.

Answer:

Step-by-step explanation:

A + B= 180°

(5x+20)+(9x-92)=180°

14x-72=180°

14x=252

x=18

A=5(18)+20

A=110

Answer:

x = 18 , ∠ A = 110°

Step-by-step explanation:

∠ A and ∠ B are same- side interior angles and sum to 180° , that is

5x + 20 + 9x - 92 = 180

14x - 72 = 180 ( add 72 to both sides )

14x = 252 ( divide both sides by 14 )

x = 18

Then

∠ A = 5x + 20 = 5(18) + 20 = 90 + 20 = 110°

Answer:

B

Step-by-step explanation:

44/77

=0.55

Answer:

Just 1 positive, odd factor

Step-by-step explanation:

48 has many factors. But not many odd factors. Only 3 is odd and bigger than 2 and less than 10.

So, just one odd, positive factor.

Answer:

16

Step-by-step explanation:

You replace m with 14. 2 + 14 = 16.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Assuming equation:}[/tex]

[tex]\mathsf{\dfrac{m}{2} + m}[/tex]

[tex]\huge\textsf{If so, let's solve for your equation:}[/tex]

[tex]\mathsf{\dfrac{m}{2} + m}[/tex]

[tex]\mathsf{= \dfrac{14}{2} + 14}[/tex]

[tex]\mathsf{= 7 + 14}[/tex]

[tex]\mathsf{= 21}[/tex]

[tex]\huge\textsf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{21}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

No. The slopes of parallel lines are equal.

Step-by-step explanation:

If you have two lines and their slopes are the same, then the lines are parallel.

If the two lines have slopes that are negative reciprocals (opposite signs and flipped over) then when you multiply the slopes together, you get -1... THOSE lines are perpendicular (they make right angles or make 90° angles or square angles).

Lines in the same plane that have different slopes will intersect at one point.

Answer:

(f-g)(x)= (3x + 10) - (5x -3)

f-g = 3x + 10 - 5x + 3

f-g = -2x + 13

I didn't quite get what u meant by exponential form of the function but here

Answer:

600ft

Step-by-step explanation:

The balloon falls 200 feet in one minute and we need the amount it fell in 3 minutes: 200feet*3minutes = 600 ft

Answer:

0.03 seconds

Step-by-step explanation:

10,000km = 300secs

1km = x seconds

Cross multiply the equation

10,000x = 300

Divide both sides by 10,000

10,000x = 300

10,000 10,000

x = 0.03 seconds

Considering the piece-wise function described, the catering cost for a dinner with 40 guests is of $600.

A piece-wise function is a function that has different definitions, depending on the input.

In this problem, considering between 0 and 40 guests, the definition is the open circle at (0, 100) and goes up to a closed circle at (40, 600), hence the catering cost for a dinner with 40 guests is of $600.

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Answer:

600

Step-by-step explanation:

edge

In a two-tailed hypothesis test the null hypothesis is rejected.

According to the statement

The test statistic is 3.06 and the critical values are /-2.086.

If we find the value of t by using the formula the then it comes with Negative sign and it lies under the critical region.

That's why In a two-tailed hypothesis test the null hypothesis is rejected.

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Hi! ❄

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The eccentricity of the conic section below is 1, since the conic section given is a parabola.

The eccentricity of a parabola is 1.

Hope that made sense !!

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[tex]\star\tiny\pmb{_{calligraphy}}\star[/tex]

Hi!

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The eccentricity of the conic section below is 1, since the conic section given is a parabola.

What is parabola?

a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. The name "parabola" is due to Apollonius, who discovered many properties of conic sections. conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.

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The seventh term of the sequence is 364.5

From the question, we are to determine the seventh term of the sequence

Using the formula,

[tex]a_{n} = ar^{n-1}[/tex]

Where [tex]a_{n}[/tex] is the nth term

a is the first term

and r is the common ratio

From the given information,

a = 1/2

r = 3

Thus,

[tex]a_{7} = (\frac{1}{2}) 3^{7-1}[/tex]

[tex]a_{7} = (\frac{1}{2}) 3^{6}[/tex]

[tex]a_{7} = \frac{1}{2} \times 729[/tex]

[tex]a_{7} = 364\frac{1}{2} \ OR \ 364.5[/tex]

Hence, the seventh term of the sequence is 364.5

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The radius of this circle is (B) 4.9 cm.

To solve this problem, we need to, first of all, convert the angle from radians to degrees.

data;

[tex]\frac{7\pi }{6rads} =210^{0}[/tex]

Length of an Arc:

The formula for the length of an arc is given:

[tex]l_{arc} =[/tex] θ/360 × [tex]2\pi r[/tex]

Let's substitute the values and solve:

[tex]18=\frac{210}{360} *2\pi r\\18=3.663r\\r=\frac{18}{3.663} \\r=4.9cm[/tex]

From the calculations above, the radius of this circle is 4.9cm.

Therefore, the radius of this circle is (B) 4.9 cm.

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Complete question

A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.

(A) 3.7 cm

(B) 4.9 cm

(C) 14.3 cm

(D) 15.4 cm

Answer:

Step-by-step explanation:

The key word "product" tells us to multiply.

And, you probably know, but "integer" just means "number".

The question is, essentially:
A × B = 162 where A is half of B.

As someone who was never gifted in math, my best suggestion for something like this is to grab a calculator and start dividing 162 by all the numbers below 10. You will know you've got your answer when the calculator gives you a number that is twice the number you divided by.

In this case, I divided 162 by 9 and got 18. Since 9 is half of 18, and multiplied they make 162, we know this is the correct answer.

Hope this helps

We know that ratios can be shown with both fractions and colons.

20:705

or

[tex]\frac{20}{705}[/tex]

It also looks like we can simplify this by dividing by 5.

20/5 = 4

705/5 = 141.

This means that for every 4 teachers, there are 141 students.

The ratio for teachers to students is:

4 : 141

The total amount of money received from sales of shoes that month = $4968

Salary = $11000

Number of shoes sold = 360

Cost of 1 shoe = $460

Total cost of shoes sold = 360 x 460

Total cost of shoes sold = $165600

Since $165600 is greater than $100000, she will earn a commission of 3%

Commission = (3/100) x $165600

Commission = $4968

The commission is the amount of money received from sales of shoes. Other earnings are salary or increment

Therefore, the total amount of money received from sales of shoes that month = $4968

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The confidence interval for the meannumber of dresses purchased each year is (7.2,7.4).

Given sample mean of 7.3 and sample standard deviation of 1.4 and confidence interval of 95%.

We have to find confidence interval for the mean number of dresses purchased each year.

Because the sample size is more than 30 so z test test will be used.

Margin of error is the difference in real values and calculated values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where zis the criticalvalue of confidence level.

σ is sample standard deviation,

n is sample size.

z value for 95% confidence level=1.96

Margin of error=1.96*1.4/[tex]\sqrt{523}[/tex]

=2.744/22.869

=0.12

Upper level= Mean + margin of error

=7.3+0.12

=7.42

Rounding off

=7.4

Lower level=Mean - margin of error

=7.3-0.12

=7.18

Rounding

=7.1

Hence the confidence interval is (7.1,7.4).

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