AB = ?
does anyone know?

AB = ?does Anyone Know?

Answers

Answer 1

Answer:

AB = 6.97 (nearest hundredth)

Step-by-step explanation:

Sine Trigonometric Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 35°O = AC = 4 unitsH = AB

Substitute the given values and solve for AB:

[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]

[tex]\implies \sf \sin(35^{\circ})=\dfrac{4}{AB}[/tex]

[tex]\implies \sf AB=\dfrac{4}{\sin(35^{\circ})}[/tex]

[tex]\implies \sf AB=6.973787182...[/tex]

Therefore, AB = 6.97 (nearest hundredth)


Related Questions

Illustrate on a number line the solution set of each pair of simultaneous inequalities. x>-2;-4 <x <2​

Answers

Answer:

See below

Step-by-step explanation:

Use this tool to plot
https://quickmath.com/webMathematica3/quickmath/graphs/inequalities/basic.jsp#form?v2=graph

The results are shown in the accompanying screenshots

The first sequence rule is multiply by 4 starting from 7. The second sequence rule is add 5 starting from 8. What is the first number that appears in both sequences?

28
56
112
225

Answers

Answer:

28

Step-by-step explanation:

28 is the number that appears first for both.

For first sequence:

7 × 4 = 28 × 4 = 112 × 4 = 448

For second sequence:

8 + 5 = 13 + 5 = 18 + 5 = 23 + 5 = 28

Select the correct answer. which sum or difference is modeled by the algebra tiles? a. (-x2 2x 3) − (x2 − 2x − 1) = -2x2 2 b. (-x2 2x 3) − (-x2 2x 1) = -2x2 2 c. (-x2 2x 3) (-x2 2x 1) = -2x2 2 d. (-x2 2x 3) (-x2 − 2x − 1) = -2x2 2

Answers

The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

How to determine the sum or difference?

From the complete question, we have the following expressions:

(-x²+2x+3) and (-x²-2x-1)

Add both expressions

(-x²+2x+3) + (-x²-2x-1)

Expand

-x²+2x+3 -x²-2x-1

Collect the like terms

-x² -x² + 2x - 2x + 3 -1

Evaluate the like terms

-2x²+2

Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2

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Write (9,-4) and (1,6) in slope intercept form,

Answers

Answer:

y = -5/4x + 7 1/4

Step-by-step explanation:

The difference in y (10) over the difference in x (8)

The descriptive statistics are shown.
Analyzing Misleading Graphs and Reports
Compare the measures. Describe what these measures indicate about the shape of the box-and-whisker plot.

Answers

The median is always at the center of the box, we can say the median of our question is also at the middle of the box.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The description of the measures given has been done below and also what they indicate about the shape of the box and whisker plot have been given.

From the given data we see that;

Mean = 39,500

Median = 20000

Mode = 23000

Minimum = 15,000

Maximum = 255000

A general view of a box and whisker plot has been attached.

From the attached file, we can see the following;

- whiskers to the left and right of the box.

- The box starts from the lower quartile and stops at the upper quartile.

- The median is at the middle of the box

- The minimum is at the end of the left whisker

- The maximum is at the end of the right whisker.

1) Now, since median is always at the center of the box, we can say the median of our question is also at the middle of the box.

2) The median is 20000 but the minimum which is the end of the left whisker is 15000 while the maximum which is the end of the right whisker is 255000. This means the minimum is very close to the median and as such the left whisker would be very short. In contrast, the right whisker will be very long since the maximum is far larger than the median.

3) Since the right whisker is far larger than the left whisker, then we can say the shape of the box and whisker plot is heavily skewed to the right.

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The graph of g is a translation 4 unit down of the graph of f(x) = 6x-4. The rate of change of g over the interval -2 ≤ x ≤ 4 is

Answers

The function g(x) is a linear function, and the rate of change over the interval  -2 ≤ x ≤ 4 is 6

How to determine the rate of change?

The function f is given as:

f(x) =6x - 4

When translated down by 6 units, the rule of translation is:

g(x) = f(x) - 4

So, we have:

g(x) = 6x - 4 - 4

Evaluate

g(x) = 6x - 8

The rate of change over -2 ≤ x ≤ 4 is then calculated using:

g'(x) = [g(b) - g(a)]/[b - a]

So, we have:

g'(x) = [g(4) - g(-2)]/[4 + 2]

Evaluate

g'(x) = [g(4) - g(-2)]/[6]

Calculate g(4) and g(-2)

g(4) = 6 * 4 - 8 = 16

g(-2) = 6 * -2 - 8 = -20

So, we have:

g'(x) = (16 + 20)/6

Evaluate

g'(x) = 6

Hence, the rate of change over the interval  -2 ≤ x ≤ 4 is 6

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Change the function f(x) = 2x ^ 2 + 8x + 5 into vertex form.

Answers

Answer:

[tex]f(x)=2(x+4)^2-27[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=2x^2+8x+5\\f(x)=2(x^2+8x+\frac{5}{2})\\f(x)+2(\frac{27}{2})=2(x^2+8x+\frac{5}{2}+\frac{27}{2})\\f(x)+27=2(x^2+8x+16)\\f(x)+27=2(x+4)^2\\f(x)=2(x+4)^2-27[/tex]

This tells us that the vertex of the parabola is [tex](-4,-27)[/tex].

In a school, 40% of the students have brown eyes. Find the experimental probability that in a group of 4 students, at least one of them has brown eyes. The problem has been simulated by generating random numbers. The digits 0-9 were used. Let numbers "0", "1", "2", and "3" represent the 40% of students with brown eyes. A sample of 20 random numbers is shown. 7918 7910 2546 1390 6075 1230 2386 0793 7359 3048 2816 6147 5978 5621 9732 9436 5971 3806 6173 1430 Experimental Probability = [?]%​

Answers

Answer:

41.25%

Step-by-step explanation:

Of the 80 digits generated, 33 of them are 0,1,2, or 3.

(Yup, I counted them)

So, 33/80 = 0.4125 = 41.25%

Answer:

95%

Step-by-step explanation:

Step 1: Find samples with 0, 1, 2 or 3.

Example: count 7918 it has a one

Example two: count 2546 it has a two

Step 2: Once all the samples with 0, 1, 2 or 3 are counted put it into a fraction.

Example: For this particular question there were 19/20 samples with numbers 0, 1, 2 or 3.

Step 3: Change the fraction into a percentage after that you will have your final answer.

PLEASE HELP ME ASAP!
A rug measures 5/6 foot long and 1/3 foot wide. What is the area of the rug?

5/18t2
5/18t3
1 3/18 t2
1 3/18 t3

Answers

Answer:

Length = 5/6 foot

Breadth = 1/3 foot

Area of rug = l×b

=5/6 × 1/3

= 5/18 Ft^2

Select the correct answer from each drop-down menu.
complete the statements about this function
f(x)= -2\x+1| + 2.
the vertex of the function is la
on the interval (-1,0), the function is
as x approaches positive infinity, the function approaches
infinity

Answers

The vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity

How to interpret the function?

The function is given as:

f(x)= -2|x+1| + 2

The above function is an absolute value function

An absolute value function is represented as:

y = a|x - h| + k

Where the vertex is:

Vertex = (h, k)

When a is less than 0, then the vertex is at maximum

By comparison, we have:

a = -2

(h,k) = (-1, 2)

-2 is less than 0

Hence, the vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity

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You need a loan and your friend, Joey, will lend you the $1250 you need. He has you sign a promissory note for four years with an annual simple interest rate of 5.5%. What is the total amount that you will pay Joey at the end of the four years?

$1525
$4225
$2750
$275

Answers

Answer:

$1525

Step-by-step explanation:

5.5% out of $1250= 68,7568,75 x 4 (years) = 2751250 + 275 = 1525

A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data?

Answers

The standard deviation statistic should use to measure the spread of the two sets of data.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

As we know, the shape of a normal curve is dictated by its mean and standard deviation, hence standard deviations are important.

Thus, the standard deviation statistic should use to measure the spread of the two sets of data of snowfall which is collected by the scientist.

Learn more about the standard deviation here:

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A 500-room hotel collects $80 per occupied room each night. which expression represents the number of dollars the hotel collects on a night when v rooms are vacant?

Answers

500x80-(80xV)=
would be right

1) If the diameter of a circle is changed from 8 cm to 4 cm, how will the circumference change?
A) increases by a factor of 2
B) decreases by a factor of 2
C) increases by a factor of 4
D) decreases by a factor of 4

Answers

Answer:

the answer is B.

Step-by-step explanation:

the formula for circumference of a circle is [tex]\pi[/tex]×diameter=C

[tex]\pi[/tex]·8=25.13

[tex]\pi[/tex]·4=12.56

12.56·2=25.13

and yet another i hope you all had fun doing these problems

Answers


the answer would be 0.03895

Whats the product 72x0.45

Answers

Answer:

72 times 0.45 is equal to 33.75

Step-by-step explanation:

You can use a calculator to find this out.

Answer:

32.4

Step-by-step explanation:

After repeatedly adding 0.45 a total of 72 times. You end up getting 32.5

To check the answer you divide 32.5 by 72 and receive 0.45. Checking the answer

Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus

A coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, four and one, six.

Answers

The equation of a line that is passing through the points (0, 4) and (1, 6) will be y = 2x + 4.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A coordinate plane. The x-axis and y-axis are each scaled by one.

A graph of a line goes through the points (0, 4) and (1, 6) will be

The equation of a line that is passing through the points (0, 4) and (1, 6) will be

y - 4 = [6 - 4 / 1 - 0] (x - 0)

y - 4 = 2x

    y = 2x + 4

The graph is given below.

More about the linear system link is given below.

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Answer:y=x-5

Step-by-step explanation:

khan academy

If X=3 and y= -2, find xy + 2y.​
-2
-9
-10
-1

Answers

Answer:

-10 is the answer

Step-by-step explanation:

[tex]xy + 2y \\ putting \: the \: value \: of \: x \: and \: y \\ 3 \times ( - 2) + 2 \times ( -2 ) \\ - 6 - 4 \\ = - 10[/tex]

Just substitute the value in that’s it

The volume of this rectangular prism is 48,608 cubic centimeters. What is the value of b?

Answers

Answer:

b = 49 cm

Step-by-step explanation:

Volume of a rectangular prism = width × length × height

Given:

volume = 48,608 cm³width = 16 cmlength = bheight = 62 cm

Substituting the given values into the formula and solving for b:

⇒ 48608 = 16 × b × 62

⇒ 48608 = 992 b

⇒ b = 48608 ÷ 992

⇒ b = 49

Answer:

b = 49 cm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

v = 48,608 cm³l = b cmw = 16 cmh = 62 cm

Substitute the values above and solve for b:

48,608 = b × 16 × 62

48,608 = 992b

48,608/992 = 992b/992

49 = b

Final answer: 49 cm

Hope this helps!

Please help me ASAP!!!!!

Answers

Step-by-step explanation:

when you are on that level of math that you get this type of question - this is totally easy.

we get the extreme point(s) of a function by finding the zeros of the first derivative of the function.

f'(x) = 4x - 8

so,

0 = 4x - 8

8 = 4x

x = 2

to determine whether it is a minimum or a maximum, we have 2 choices :

the quick way for a quadratic (parabola) equation by looking at the factor of x² : is it >0, then the parabola opens up upwards, and the extreme point is therefore a minimum. if it is <0, then it opens downward, and the extreme point is a maximum.

in our case : 2 is larger than 0, therefore minimum.

or the formal way for any type of function : create the second derivative and see, if it is >0 (minimum) or <0 (maximum) for the extreme x.

in our case

f''(x) = 4

this is larger than 0 for all x, so the extreme point is a minimum.

Select the correct answer. if you roll a single six-sided die, what is the probability of rolling an odd number? a. b. c. d. 3

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

P(odd number)= [tex]\frac{3}{6}[/tex]

                        =[tex]\frac{1}{2}[/tex]

An unfair coin is twice as likely to land "Heads" as "Tails". If the coin is tossed twice, what is the probability that it will land "Tails" both times?

Answers

The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25. A visual representation of the toss of two coins. The Product Rule is evident from the visual representation of all possible outcomes of tossing two coins shown above.

Answer / 1/2

look at the picture to solve it

Answers

Answer:

6^7

Step-by-step explanation:

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 13 to get 7.

Answer:

6^7

Step-by-step explanation:

6^13/6^6 = 6^7

To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?

Answers

Answer:

4 litres.

Step-by-step explanation:

By proportion that would be:

1.5 * 8/3

= 12/3

= 4 litres.

Please help me with this question

Answers

Answer:

difference between town A and town B is 5.4 deg. celcius

Step-by-step explanation:

I added each row and divided by 5 to get the average for A and B

I subtracted the average

see attached picture showing the math

what is the slope of the line that passes through (4,-9) and
(1,3)?


Answers

Answer:

slope = - 4

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = 1, 3 )

m = [tex]\frac{3-(-9)}{1-4}[/tex] = [tex]\frac{3+9}{-3}[/tex] = [tex]\frac{12}{-3}[/tex] = - 4

Answer:

[tex]m=-4[/tex]; the slope is -4

Step-by-step explanation:

[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]

coordinates: (4,-9) (1,3)

[tex]\frac{3-(-9)}{1-4}=\frac{-12}{-3} =-4[/tex]

= -4 is your answer

hope this helped

~rere

Ricki Charges $ 10.45 an hour for her new labor. This job took her 13 hours. What is the new total for the job, including material costs and labor?

Answers

5.00 that might be wrong

Question 1 options:
The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already driven 1639.2 miles.

How much farther does the family need to drive to reach Anchorage?


Enter your answer as a decimal in the box

Answers

Answer:

2664.8 miles left to drive

Step-by-step explanation:

4304 miles driven

subtract 1639.2 miles driven

total left is 2664.8 miles yet to drive

Someone please helppp

your friend house is 6.4 miles north and 12 miles west of your bank. how far is your friends house from your bank

Answers

Answer:

the answer is 76.8

Step-by-step explanation:

multiple of the number

If the radius of the circle is 14 meters,find the length of arc RS
a)28.34m
b)64.32m
c)37.7m
d)9m
e)18m

Answers

Answer:

a) 28.34 m

Step-by-step explanation:

Finding ∠RQS :

180° - 64°116°

Length of arc RS :

2πr × θ/3602 x 22/7 x 14 x 116/36044 x 2 x 29/9088 x 29/902552/9028.34 m
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