PLZ HELP!!! 50 POINTS!!!!
What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answers
x = arccos(15/29) = 58.85 degrees (2 d.p.)
x = 58.86
hope it helps
Related Questions
Can please help!
10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. Show your work
Answers
equation is: width = area / length
width = 62.5 yd
Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²
For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd
Hope this helps :)
Which box-and-whisker plot best represents the data?
34, 36, 38, 40, 45, 45, 48, 50, 52, 60
Answers
The box-and-whisker plot which best represents the data is graph A
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Let the data of the box plot be represented as A
Now , the value of A is
A = 34, 36, 38, 40, 45, 45, 48, 50, 52, 60
So , the median of the data is given by
M = ( 45 + 45 ) / 2
M = 45
Now , the box plot which represents the median at 45 is graph A
Hence , the box plot is solved
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Fernando poured water from one-pint bottles into a three-gallon bucket. How many pints of water could the bucket hold?
Answers
One gallon holds eight pints. 8 x 3 = 24
What is the first quartile of the data set? {51, 42, 46, 53, 66, 70, 90, 70} A-48.5 B-59.5 C-61 D-80
Answers
To find this you must:
1. Order the data from least to greatest.
42, 46, 51, 53, | 66, 70, 70, 90
2. Next, find where the middle of the data set it - see the line above
3. Look at the lower half of the data - see the bold half above.
4. Find the middle of that half - see the underlined numbers above.
5. Find the middle of the 2 numbers
(46 + 51)
2 = 48.5
48.5 is the 1st quartile.
Answer:
I'm positive the answer is 48.5
Perform the operation 8 1/2 + 5 1/8
Answers
Here is your answer:
The proper answer to this question is option "[tex] \frac{109}{8} [/tex]
Reason:
First write down the equation:
8[tex] \frac{1}{2} [/tex]+5[tex] \frac{1}{8} [/tex]
Transform the mixed numbers into improper fractions.
8 [tex] \frac{1}{2} [/tex]=[tex] \frac{17}{2} [/tex]
&
5 [tex] \frac{1}{8} [/tex]= [tex] \frac{41}{8} [/tex]
Now add:
17×4=68
2×4=8
+
41×1=41
8×1=8
68+41=109
=[tex] \frac{109}{8} [/tex]
Therefore the answer would be 109/8!
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Pint-Sized Portraits has 4 different backgrounds and 5 poses in which to photograph children. How many different pictures are there to choose from?
9
20
120
Answers
McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?
Answers
My grade is a 77%, if i get a 0% on a paper worth 30% of my grade, what will my grade be now??
Answers
[tex]Grade=(Grade_{paper}\times Value_{paper})+(Grade_{other}\times Value_{other})[/tex]
[tex]Grade=(0 \times 30\%)+(77\% \times (1-30\%))[/tex]
[tex]Grade=(0 \times 30\%)+(77\% \times 70\%)[/tex]
[tex]Grade=0+53.9\%[/tex]
[tex]Grade=53.9\%[/tex]
Jerome bought a book on sale at the store. The sale price of the book was $8.96. Write and solve an equation to determine the regular price of the book to the nearest cent
Answers
The regular price of the book is $8.96.
Explanation:To determine the regular price of the book, we can set up an equation using the sale price and the regular price. Let's say the regular price is 'x'.
So the equation becomes:
8.96 = x
To solve for 'x', we can simply state that the regular price of the book is $8.96.
Which of the following is a characteristic of Euclidean geometry?
Answers
Answer:
c. the parallel postulate is true.
Step-by-step explanation:
dividing whole numbers 22 divided by 300
Answers
Answer:
22 divided by 300 will be equal to 0.07333.
Step-by-step explanation:
Dividing 22 by 300
[tex]\frac{22}{300}=\frac{2\times 11}{2\times 2\times 5\times 5\times 3}[/tex]
[tex]\frac{22}{300}=\frac{11}{2\times 5\times 5\times 3}=\frac{11}{150}[/tex]
[tex]\frac{11}{150}=\frac{11}{15}\times \frac{1}{10}[/tex]
The value of [tex]\frac{11}{15}=0.7333[/tex]
[tex]\frac{22}{300}=\frac{11}{150}=0.7333\times \frac{1}{10}=0.07333[/tex]
So, the value of 22 divided by 300 will be equal to 0.07333.
Dividing 22 by 300 gives a quotient of 0.0733, representing the proportion of 22 out of 300.
Explanation:To perform the division of the whole numbers 22 and 300, you simply divide 22 by 300 using long division or a calculator. However, since 300 is larger than 22, the result will be a decimal or fraction that is less than 1. Mathematically represented as:
22 ÷ 300 = 0.0733
In a real-world scenario, this number could be interpreted as the proportion or percentage of a whole that the number 22 represents out of 300.
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Jamelia estimates the square root of 72 in the following way:
√72 = 2√36 = 2*6 = 12
(a) Explain why her reasoning is incorrect.
(b) Estimate the square root of 72 to the nearest tenth. Show your work.
Answers
we have that
√72
√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2
alternative method
72 is equal to-------> 2³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2
Part b)Estimate the square root of 72 to the nearest tenth
we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5
the answer Part b) is 8.5
A prism is filled with 44 cubes with 1/2 units side lengths. What is the volume of the prism in cubic units?
Answers
First, we need to find the volume of one cube. It would be LWH.
0.5 x 0.5 x 0.5 = 0.125
Now, just multiply that volume by 44.
0.125 x 44 = 5.5
the dimensionn of the box that a radio came in are 12in. 8in by 5in
Answers
The volume of the box is calculated by multiplying its length, width, and height together. The volume of the box that the radio came in is 480 cubic inches.
Explanation:The dimensions given for the box are its length (12in.), width (8in.), and height (5in.). In mathematics, you can use these three dimensions to calculate the volume of the rectangular box. The volume of a rectangular box is calculated by multiplying these three dimensions together. So, the volume of the box is 12in. * 8in. * 5in. = 480 cubic inches. Remember, when you multiply three dimensions together, the unit is cubic (inches cubed in this case), because you're dealing with a three-dimensional space.
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How would you find the number, 3/7 of which is equal to t? (let's say it was any number, just need the equation)
Answers
(3/7) x = t
I can't think of anything useful to add to this. How about an example?
Let x = 49
(3/7) x = t
(3/7) * 49 = t seven will go into 49
3 * 49 = t
t = 147
A sample of 81 was taken from a population with a standard deviation of 45 kilograms. If the sample mean was 112 kilograms, the mean of any other sample of 81 will be within what range 99.7% of the time?
A. 97 kilograms to 127 kilograms
B. 102 kilograms to 122 kilograms
C. 92 kilograms to 132 kilograms
D. 107 kilograms to 117 kilograms
Answers
Population Standard Deviation = s = 45
Sample Mean = x = 112
Since, population standard deviation is known, we will use z distribution to find the confidence interval.
The critical z value for 99.7% is 2.968
So, the confidence interval will be:
[tex](112-2.968* \frac{45}{ \sqrt{81} }, 112-2.968* \frac{45}{ \sqrt{81} }) \\ \\ (97.16, 126.84)[/tex]
Rounding of to nearest integers the confidence interval will be 97 to 127.
So, option A gives the correct answer
Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?
Answers
m = 12 & n = 5
m = 6 & n = 2.5 (divided each number by 20)
Now m is a factor of 18. Multiply each number by 3.
Answer: m = 18 & n = 7.5
Answer:
7.5
Step-by-step explanation:
Jill earned $40 from a carpool plus $9 per hour babysitting this week. Which of th following expression beat represents jill’s Income for the week?
Answers
the area of a circle can be tripled by multiplying the radius by what factor?
Answers
Because the formula for the area of a circle is [tex] \pi [/tex]×r².
So let us say the radius for circle A is 1. so area is equal to. [tex] \pi [/tex]×2²
which is equal to 12.56
Now you need to triple the area, so if i am in the right path you would multiply area of circle A 3 times leaving you with 37.699
Now, we make use of the equation solving skills.
The way to find the radius is.
A= [tex] \pi [/tex]×r²
So
√(A÷[tex] \pi [/tex])
So puting and solving the equations the factor of multiplication gives us 1.73
Please help......
1. Write an approximate equation of the line of best fit in slope-intercept form.
2. Use the equation from part B to predict the resting heart rate of a person who exercises 30 minutes per day. Show your work.
3. Explain how you found your answer to part C.
Answers
find the slope:
slope = change in Y over change in x = 69 - 72 / 6-0 = -3 / 6 = -1/2
equation would be y = -1/2x + 72
2. y = -1/2x+72 = -1/2(30) +72 = -15 +72 = 57 beats per minute
3. replaced x in the equation with 30 to find the beats per minute for exercising 30 minutes
There are 64 cookies in a jar. The probability of randomly choosing an oatmeal cookies from the jar in 37.5%. How many of the cookies are not oatmeal cookies
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help subtraction problem
5.30 - 3.75
Answers
A circle has an area of 19 5/8 square units what is the radius of the circle
Answers
19 5/8 = πr²
r² = 19 5/8 ÷ π
r² = 6.25
r = √6.25 = 2.5 units
Answer: 2.5 units
When two six-sided dice are rolled, there are 36 possible outcomes.
a. Find the probability that the sum is not 4. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.
b. Find the probability that the sum is greater than 5. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.
Answers
A. List the possibilities that do have a sum of 4. (1,3) (3,1) (2,2). 3/36. subtract 3/36 from the whole to get probability it does not have a sum of 4. 36/36-3/36=33/36 or 92%
B. List the possibilities if is less than or equal to 5 because it will be a smaller amount than if it is greater and subtract like we did in the previous problem. (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1). 10 total 36/36-10/36= 26/36 or 72%
The probability that the sum of two six-sided dice is not 4 is 11/12 or 92%. The probability that the sum is greater than 5 is 5/12 or 42%.
Explanation:The subject of this question is probability, which is a branch of mathematics. When two six-sided dice are rolled, there are indeed 36 possible outcomes.
There are three possible ways to get a sum of 4: (1,3), (2,2), and (3,1). So the probability that the sum is not 4 is 1 - (3/36) = 33/36. This simplifies down to 11/12, and as a percent it rounds to approximately 92%.
There are 15 different combinations that result in a sum that is greater than 5. So the probability is 15/36, which simplifies to 5/12. This roughly translates to 42% when expressed as a percentage.
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Plzz help me im giving 12 points
Answers
30m + 50 = 20m + 100
This is the new equation needed to solve for m.
first we must isolate "m".
30m + 50 = 20m + 100
- 50 - 50
30m = 20m + 50
-20m -20m
10m = 50
divide both sides by 10 to isolate "m".
m = 5
hope this helps!
It says in abc, What is m
Answers
Make ∠A + B + C = 180.
x + (4x) + (5x - 13) = 180
Add all like terms.
10x - 13 = 180
Add 13 to both sides.
10x = 193
Divide both sides by 10.
x = 19.3
Now plug in x into m∠C, (5x - 13).
5(19.3) - 13 = 83.5
The m∠C is 83.5°.
Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN
Answers
The trapezoid is shown in the picture attached.
The area of a triangle is given by the formula:
A(FMN) = (b × h) / 2
= (FN × h) / 2
We can infer that KLMF is a parallelogram. Indeed:
LK // MF, and LM // KF.
The area of a parallelogram is given by the formula:
A(KLMF) = b × h
= KF × h
= 10 × h
We know that the two areas are congruent, therefore:
A(KLMF) = A(FMN)
FN × h / 2 = 10 × h
The two heights are the same, and then cancel out
FN / 2 = 10
FN = 20
Now we can calculate KN by simply adding KF and FN:
KN = KF + FN = 10 + 20 = 30
Hence, KN is 30 units long.
Answer:
30
Step-by-step explanation:
How can we get the answer for...Decrease £8 by 20%
Answers
8-1.6= 6.4
therefore the answer is £6.40
If the measure of angle H is 64°, which angles in the diagram have a measure of 116°?
There should be more than 1 answer
A) Angle G
B) Angle F
C) Angle B
D) Angle A
E) Angle E
F) Angle C
G) Angle D
Answers
The mean of 3 consecutive terms in an arithmetic sequence is 10, and the mean of their squares is 394. What is the largest of the 3 terms?
Answers
a, a+b, a+2b
mean of the numbers is:
(a+a+b+a+2b)/3=10
(3a+3b)/3=10
a+b=10
thus second term is 10
The sum of square will be:
((10 - b)² + 10² + (10 + b)²) / 3 = 394
(100 - 20b + b² + 100 + 100 + 20b + b²) / 3 = 394
(300 + 2b²) / 3 = 394
(150+b²)=591
b²=441
b=-21,21
thus the numbers will be:
10-21, 10, 10+21
=-11,10,31