Answer:
x = 73.35
Step-by-step explanation:
Here, we want to find the value of x
We can get this by simply re-arranging the equation
we have this as follows;
x = 57/cos 39 degrees
x = 73.35
Anyone know the answer ?? Please, appreciate it
Answer:
D
Step-by-step explanation:
The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.
Answer:
mean = 85, standard deviation = 3.5
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.
From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.
σ = standard deviation, μ = mean
Hence; μ ± 2σ = (78, 92)
μ - 2σ = 78 (1);
μ + 2σ = 92 (2)
Adding equation 1 and 2, gives 2μ = 170
μ = 85
μ - 2σ = 78
85- 2σ = 78
2σ = 7
σ = 3.5
PLEASE HELP A boat travels downstream 10 miles and returns to the starting point in 2
hours. If the speed of the stream is 15 mph, find the speed of the boat in still
water. A. 20.81mph B. 30.24mph C.25.67 D.15mph
Answer:
A. 20.81 mph
Step-by-step explanation:
x = speed of the boat in still water.
one part of the trip is 10 miles downstream, where the speed of the boat and the speed of the current add together.
and the other part of the trip is the trip back the 10 miles upstream, where the speed of the current works against the speed of the boat :
10/(x + 15) + 10/(x - 15) = 2
10 + 10×(x+15)/(x-15) = 2×(x+15)
10×(x-15) + 10×(x+15) = 2×(x+15)×(x-15)
20x = 2×(x² - 225)
10x = x² - 225
0 = x² - 10x - 225
solution of a quadratic equation
x = (-b ± sqrt(b² - 4ac)) / (2a)
a = 1
b = -10
c = - 225
(10 ± sqrt(100 - 4×1×-225)) / 2 =
= (10 ± sqrt (100 + 900)) / 2 = (10 ± sqrt(1000)) / 2 =
= (10 ± 31.62) / 2
x1 = 41.62 / 2 = 20.81 mph
x2 is negative and did not make any sense.
Express the following as ONE fraction:
(( b - c )/ b ) + (b / ( b + c ))
Answer:
Step-by-step explanation:
(b - c)/b * (b+c)/b Notice how the second fraction is inverted and multiplied. That's how you handle a 4 tier fraction. Here's a simpler example
[tex]\frac{\frac{2}{3} }{\frac{4}{5} } = \frac{2}{3} * \frac{5}{4}[/tex]
What you get with your problem is
(b^2 - c^2)/b^2
In a GEOMETRIC sequence, the first term is 21 and
the common ratio is 2. Find the 15th term.
Answer:
344064
Step-by-step explanation:
hope it is well understood
Look at the figure. Which surface of the figure is represented by plane EFHG?
the right side
the back
the top
the bottom
affu it so hard question please help me
[tex] \frac{x - 1}{ {x}^{2} - 3x + 2 } + \frac{x - 2}{ {x}^{2} - 5x + 6} + \frac{x - 5}{ {x}^{2} - 8x + 15} [/tex]
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Answer:
(3x-7)/(x^2-5x+6)
Step-by-step explanation:
Not particularly hard, just tedious. You need to factor all the quadratics, cancel common factors, and combine terms using a common denominator.
[tex]\dfrac{x-1}{x^2-3x+2}+\dfrac{x-2}{x^2-5x+6}+\dfrac{x-5}{x^2-8x+15}\\\\=\dfrac{x-1}{(x-1)(x-2)}+\dfrac{x-2}{(x-2)(x-3)}+\dfrac{x-5}{(x-3)(x-5)}=\dfrac{1}{x-2}+\dfrac{1}{x-3}+\dfrac{1}{x-3}\\\\=\dfrac{1}{x-2}+\dfrac{2}{x-3}=\dfrac{(x-3)+2(x-2)}{(x-2)(x-3)}=\dfrac{x-3+2x-4}{x^2-5x+6}\\\\\boxed{\dfrac{3x-7}{x^2-5x+6}}[/tex]
Answer:
[tex]\rm \displaystyle \frac{3x - 7}{ {x}^{2} - 5x + 6 } [/tex]
Step-by-step explanation:
we would like to simplify the following:
[tex] \rm\displaystyle \frac{x - 1}{ {x}^{2} - 3x + 2 } + \frac{x - 2}{ {x}^{2} - 5x + 6} + \frac{x - 5}{ {x}^{2} - 8x + 15}[/tex]
to simplify algebraic expression the first step is to figure out the LCM of the denominator in order to do so we can factor the denominators therefore factor the denominators and work out the LCM
[tex]\rm\displaystyle \frac{x - 1}{ (x - 1)(x - 2)} + \frac{x - 2}{ (x - 2)(x - 3)} + \frac{x - 5}{(x - 5)(x - 3)}[/tex]
reduce fraction:
[tex]\rm\displaystyle \frac{1}{ x - 2} + \frac{1}{ x - 3} + \frac{1}{x - 3}[/tex]
figure out the LCM and divide it by the denominator and multiply the result with the numerator which yields:
[tex]\rm\displaystyle \frac{1}{ x - 2} + \frac{1}{ x - 3} + \frac{1}{x - 3} \\ \\ \displaystyle \frac{x - 3 + x - 2 + x - 2}{(x - 2)(x - 3)} [/tex]
simplify addition:
[tex]\rm \displaystyle \frac{3x - 7}{(x - 2)(x - 3)} [/tex]
further expansion if necessary:
[tex]\rm \displaystyle \frac{3x - 7}{ {x}^{2} - 5x + 6 } [/tex]
Find four fractions between 1/10 and 1/8
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Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
__
Check
1/8 = 0.1255/42 ≈ 0.1195/44 ≈ 0.1145/46 ≈ 0.1095/48 ≈ 0.1041/10 = 0.100_____
Additional comment
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
__
Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
Find 0. Round to the nearest degree
A. 26
B. 66
C. 64
D. 24
Answer:
C. 64°
Step-by-step explanation:
[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{7}{16} }} \\ \\ { \tt{ \theta = { \cos }^{ - 1} ( \frac{7}{16} )}} \\ \\ { \tt{ \theta = 64 \degree}}[/tex]
Answer: Choice C) 64 degrees
Work Shown:
[tex]\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{7}{16}\\\\\cos(\theta) = 0.4375\\\\\theta = \cos^{-1}(0.4375)\\\\\theta \approx 64.0555^{\circ} \\\\\theta \approx 64^{\circ} \\\\[/tex]
Note: some calculators will use the notation arccos in place of the [tex]\cos^{-1}[/tex]
When you look at the two cylinders with these values of r and h, what do you notice about the proportions of the cylinders?
Answer and Explanation:
Volume of a cylinder is given by
V= Pi*r²*h
where v= volume of the cylinder
Pi is constant = 22/7 or 3.14159
r= radius of the circle of the cylinder
h= height of the cylinder
If two cylinders are measured proportionally to the other based on radius and height of each cylinder, we look at the proportional equality of the ratio of the radius and height of one cylinder to the other. If one cylinder for example has ratio of radius and height =2/4 then it is proportional to the other cylinder with ratio 1/2
Answer: One of the cylinders is short and wide, while the other is tall and thin.
Can someone help me with this math homework please!
Answer:
Post them individually
Step-by-step explanation:
1. B
2. 4th option ,----> Megan's at 2.5 per week
Megan's plant:
slope = 7-4.5/2-1 = 2.5= growth rate
Suzanne's plant:
slope = 7-5/2-1= 2 = growth rage
3.D
4 2nd option , $2 for each song
Rate of change = 6-4/3-2 = 2
A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Answer:
12 centimeters
Step-by-step explanation:
The side lengths of the triangle are: 26, 28, and 30 centimeters
a = 26 cm, b = 28 cm, c = 30 cm
To find the area, we first must find the semi-perimeter with the following equation:
s = (a+b+c)/2
= (28+26+30)/2
= 42 centimeters
Now, to find the area, we can use Heron's formula:
A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]
[tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]
[tex]\sqrt{42(14)(16)(12)}[/tex]
[tex]\sqrt{112896}[/tex]
336 squared centimeters
Since the area of the parallelogram is equal to the area of our triangle:
Area of Parallelogram = Area of Triangle
base ⋅ height = 336 squared centimeters
28 ⋅ height = 336 squared centimeters
height = 336/28
height = 12 centimeters
5. Make a conjecture about the line that contains the diagonal from the tip of the vertex of the tail of a dart and the diagonal that joins the fin angles.
Answer:
A conjecture that can be made is that the line that contains the diagonal from the tip to the vertex of the tail of a dart and the diagonal that joins the fin angles are perpendicular to each other
Step-by-step explanation:
Question; Make a conjecture about the line that contains the diagonal from the tip to the vertex of the tail of a dart and the diagonal that joins the fin angles
Explanation;
We note that a diagonal is a straight line that joins one corner of a polygon with another corner of the polygon from the vertex points of the connected corners
The diagonal that joins the fin angles forms an isosceles triangle at the tail of the dart, and the locus of the line that forms the diagonal from the tip to the tail is a equidistant from the vertex of the fin angles
Therefore, the diagonal from the tip bisects the diagonal that joins the fin angles bisects the base of the formed isosceles triangle while passing through the vertex of the isosceles triangle, it is therefore, perpendicular to the base of the isosceles triangle which is the diagonal that joins the fin angles
A conjecture that can be made is that the line that contains the diagonal from the tip to the vertex of the tail of a dart and the diagonal that joins the fin angles is therefore, that they are perpendicular to each other
Suppose the student population of Algebra City was 3,845, 721 in 2015. The population was predicted to increase 1.18% each year for the next 25
years. What will the student population of Algebra City be in the year 2025?
3,891, 342 students
4,324,386 students
5, 156, 376 students
4,537,950 students
Answer:
4,324,386 students
Step-by-step explanation:
Student population in 2015 = 3,845,721
Percentage of students population in 2015 = 100%
Percentage increase of students each year = 1.18%
What will the student population of Algebra City be in the year 2025?
2025 population = 3,845,721(100% + 1.18%)^t
Where
t = number of years
= 2025 - 2015
= 10 years
2025 population = 3,845,721(100% + 1.18%)^t
= 3,845,721(1 + 0.118)^10
= 3,845,721(1.0118)^10
= 3,845,721(1.1244670934955)
= 4,324,386.7152646077555
Approximately,
= 4,324,386 students
Finding an angle measure
Answer:
C. 50 degrees
Step-by-step explanation:
Angle EDG is 90 degrees
x = 10
5 multiplied by 10 is 50
4 multiplied by 10 is 40
40+50=90
Answer:
50 = EDH
Step-by-step explanation:
We know that angle EDG is a right triangle (measures 90°). We also know that angle EDH and angle HDG make up angle EDG which is 90°. So ultimately we can state that;
EDH + HDG = EDG
5x + 4x = 90
9x = 90
x = 90/9
x = 10
Now that we know that value of x, we can say that;
EDH = 5x
since x = 10
EDH = 5(10)
EDH = 50
Hope this helps!
Anybody help me with this question please? ;D
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Answer:
35 cm²
Step-by-step explanation:
You can count the squares, or ...
you can multiply the number in each row by the number of rows, or ...you can multiply the number in each column by the number of columns.Any way you do this, there are 35 square, so the area is 35 square centimeters.
Can anyone help me please
Answer:
1
Step-by-step explanation:
Basically you just need to find the square root of all of them
36=6 -1=1 9=3 . -1=1
6-1-3-1=1
Which of the following functions is graphed below?
Answer:
non of the above thanks
don't ask me again please
Answer:
where are the functions ???
Step-by-step explanation:
A group of students is arranging squares into layers to create a project. The first layer has 6 squares. The second layer has 12 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?
f(1) = 6; f(n) = 6 + d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n + 1), n > 0
f(1) = 6; f(n) = 6 + d(n + 1), n > 0
Answer:
a.
f(1)=6; f(n)=6+d(n-1), n>0
Step-by-step explanation:
We are given that
First layer has squares, a=6
Second layer has squares, a2=12
We have to find an arithmetic explicit formula to determine the number of squares in each layer.
[tex]d=a_2-a_1=12-6[/tex]
nth term of an A.P
[tex]a_n=a+(n-1)d[/tex]
Substitute the value of a
Now, we get
[tex]a_n=6+(n-1)d[/tex]
f(1)=a=6
[tex]a_n=f(n)=6+d(n-1)[/tex]
Hence, option a is correct.
a.
f(1)=6; f(n)=6+d(n-1), n>0
Answer:
f(1) = 6; f(n) = 6 + d(n − 1), n > 0
Step-by-step explanation:
I took the test on flvs and got it right.
100% Guaranteed Correct :)
, Hope this helps
Have a great day!!
Which expression is equivalent to 5(w+4) when w= 9?
519)
9(5)
5(9)+4
O 5(9)+20
Answer:
D
Step-by-step explanation:
[tex]5(9 + 4) \\ 5(13) \\ 65 \\ prove \: it \: d \: answer \\ 5(9) + 20 \\ 45 + 20 \\ = 65[/tex]
The original price of a mountain bike was reduced by $125.
If p = the mountain bike's original price in dollars, which algebraic expression represents the reduced price?
Answer:
p-$125= reduced price
Step-by-step explanation:
reduced implies that the $125 was SUBTRACTED from the original price.
What is the justification for step 2 in the solution process? 10x − 25 − 3x = 4x − 1 Step 1: 7x − 25 = 4x − 1 Step 2: 7x = 4x + 24
Answer:
Add 25 to each side using the addition property of equality
Step-by-step explanation:
10x − 25 − 3x = 4x − 1
Step 1: 7x − 25 = 4x − 1 Combine like terms
Step 2: 7x = 4x + 24 Add 25 to each side using the addition property of equality
A basketball player average to 12.5 points per game there are 24 games in a season at the rate how many points with the players scored in an entire game
Answer:
Wait did you mean how many points will it be after an entire SEASON?
What is the slope of the line whose equation is y=4+x?
Answer:
The slope is 1 and the y intercept is 4
Step-by-step explanation:
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
Rewriting
y = x+4
The slope is 1 and the y intercept is 4
Answer:
M = 1
Step-by-step explanation:
1. Convert to standard form: x - y = - 4
2. Slope using standard form: m = 1
Which of the
x
xx-values are solutions to the following inequality?
x
>
111
x>111x, \gt, 111
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
x
=
97
x=97x, equals, 97
(Choice B)
B
x
=
101
x=101x, equals, 101
(Choice C)
C
x
=
119
x=119x, equals, 119
Given:
The inequality is:
[tex]x>111[/tex]
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
[tex]x>111[/tex]
It means all the real numbers greater than 111 are the solutions to the given inequality.
[tex]97<111[/tex], so 97 is not a solution.
[tex]101<111[/tex], so 101 is not a solution.
[tex]119>111[/tex], so 119 is a solution.
Therefore, the correct option is C.
Given:
The inequality is:
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
It means all the real numbers greater than 111 are the solutions to the given inequality.
, so 97 is not a solution.
, so 101 is not a solution.
, so 119 is a solution.
Therefore, the correct option is C.
Find the value of x in the equation below.
Answer:
Here is your answer....
Hope it helps.....
Answer:
-3
Step-by-step explanation:
expand the bracket by multiplying everything
inside by 3
after that collect like terms
then solve to come up with -3 as ur answer
i need help in this plz!!!!
Step-by-step explanation:
1) = {5(x+y)} - 2x
= 5x + 5y - 2x
= 3x + 5y
2)= {2(p×q)} + (p×q)
= (2p×2q)+ p×q
= 4pq + pq
= 5pq
3)= 6a + (8b + 2a)
= 8a + 8b
= 8(a+b)
4)= 3x² + ( x²+7x)
= 4x² + 7x
= x(4x+7)
Answer:
Step-by-step explanation:
72) 5*(x +y) - 2x
= 5x + 5y - 2x {Distributive property}
= (5x - 2x) + 5y {Combine like terms}
= 3x + 5y
73) 2*(pq) + pq
= 2pq + pq {Combine like terms}
= 3pq
74) 6a + (8b + 2a)
= 6a + 2a + 8b {Combine like terms}
= 8a + 8b
75) 3*x² + (x² + 7x)
= 3x² + x² + 7x {Combine like terms}
= 4x² + 7x
At a farmers market, oranges sell for $5 per bag and apples sell for $3 per
bag. Marc buys 7 bags of fruit for $29. How many bags of each type of fruit
did he buy?
Answer: 4 bags of oranges and 3 bags of apple
Step-by-step explanation:
Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29
Which of the following is not a solution to the system of inequalities?
A) (0,4)
B) (0,3)
C) (2,3)
D) (1,3)
Answer:
C
Step-by-step explanation:
In fact the point doesn’t lies on the graph or between the lines
What is the length of bc
