From the figure, the value of tan j is 13/9
How to determine the value of tan j?The tangent of an angle is represented as: :
tan(j) = opposite leg/adjacent leg
From the figure, we have:
opposite leg = 13
adjacent leg = 9
Substitute these values in the above equation of tangent
tan(j) = 13/9
Hence, the value of tan j is 13/9
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2. In 2008, the maximum taxable income for Social Security was
$ 102,000 and the tax rate was 6.2%.
paid in the year 2008?
What is the maximum Social Security tax anyone could have
b. Randy had two jobs in 2008. One employer paid him $67,010
and the other paid him $51,200. Each employer took out 6.2%
for Social Security taxes. How much did Randy overpay for Social
rity taxes in 2008?
Answer: A: $6324
B: by $1005.04 more
Step-by-step explanation:
A: 6.2% of 102,000 is 6324
B: find the tax rate of each job by finding 6.2% of what was paid, add them together, then subtract the maximum tax rate from that to see how he over paid
Solve for x in the diagram below..
5x°
(X+54)°
Answer: x = 0
Step-by-step explanation: x+5=−5x+5
Add 5x to both sides.
x+5+5x=5
Combine x and 5x to get 6x.
6x+5=5
Subtract 5 from both sides.
6x=5−5
Subtract 5 from 5 to get 0.
6x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.
x=0
GET BRAINLY IF ANSWET
Answer:
He is false
Step-by-step explanation:
Hey there!
The area of a shape is the total measurement of the inside of the shape
Meaning the parts I shaded in the screenshot
As you can see in the image, there is less area in shape B than shape A
Meaning, that the area has decreased
Now, Tom says that both area and perimeter has decreased
Lets check if the perimeter has decreased
If you look at it, the perimeter hasn't decreased at all
All that has happened was the shape getting a new form
The dimension are basically split
For example, if the top side of the square was 6 inches
Then the dimension after taking out a square from the shape would split
The top side of that square after is was split would be something along the ligns of 4 inches, and 2 inches and other dimensions like that
That is how I think of the perimeter and if it changes or not
But this explains why Tom is wrong
Since the perimeter is still the same
Tom is wrong
A bird watcher on a cliff spotted a kingfisher 7 m above him.
Earlier he had seen it 11m below. What was the kingfisher’s
change in altitude?
Answer:
18 m
Step-by-step explanation:
11m + 7m is 18m
The final answer is 18m
The change in altitude of the kingfisher is 18 m.
What is the altitude length?The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.
Suppose the distance above the cliff is represented by a positive integer.
Then the distance below it is represented by a negative integer.
Thus, change in altitude of the kingfisher
= 7-(-11)
= 7+11
= 18 m
Hence, the change in altitude of the kingfisher is 18 m.
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please solve the given problem
Find the excat value of a and b
PLEASE help me
Answer:
[tex]a = b\sqrt{5} - 8\sqrt{5}\\b = -8 - \frac{a\sqrt{5}}{5}[/tex]
Step-by-step explanation:
working attached
Triangle XYZ was reflected to form triangle LMN.
Which statements are true regarding the diagram? Select all that apply.
The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle XYZ shown in the diagram, and triangle LMN is the reflection of the triangle XYZ.
∠Z = 180 - 86-38 = 56°
Similarly,
∠L = 38°
From this, two triangles XYZ and LMN
We can say:
ΔXYZ≅ΔLMN
∠Y = ∠M = 86°
∠X =∠L = 38°
XZ ≅ LN
Thus, the option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.
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What is the quotient? startfraction n 3 over 2 n minus 6 endfraction divided by startfraction n 3 over 3 n minus 9 endfraction two-thirds three-halves startfraction (n 3) squared over 6 (n minus 3) squared endfraction startfraction 6 (n minus 3) squared over (n 3) squared endfraction
The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the expression:
[tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )\\\\Simplifying\ the\ expression:\\\\=(\frac{n+3}{2(n-3)})/ (\frac{3(n-3)}{n+3} )\\\\=\frac{3}{2}[/tex]
The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2
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Use the graph of f to describe the transformation that results in the graph of g.
f(x) = log x; g(x) = 2log x + 5
Answer:
Option (2)
Step-by-step explanation:
can someone help me with this problem? thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: c = \pi d[/tex]
where, d = 2r = 2 × 5 = 10 cm[tex]\qquad \sf \dashrightarrow \: c = 3.14 \times 10[/tex]
[tex]\qquad \sf \dashrightarrow \: c = 31.4 \: cm[/tex]
Answer:
31.4cm
Step-by-step explanation:
d = 2*r
r = 5
d = 10
circumference = d(3.14) = 10*3.14 = 31.4 cm
Hope this helps!!!
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The dwarf planet Makemake completes one orbit around the Sun every 310 years. Which of the following functions r models the number of orbits of Makemake in t years?
Answer:
3rd option, r(t) = 310t
Step-by-step explanation:
310 years is like the slope so you multiple it by the amount of years
example: in 2 years it would make 620 orbits since 310(2) = 620
If (-1, 2) and (2, -1) are two opposite vertices of a square, what is the perimeter of the square?
The sides length of the square is 3 units, then the perimeter of the square is 12 units.
What is a square?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be
The other two vertices of the square will be
(-1, -1) and (2, 2)
Then the distance between the points (2, 2) and (2, -1) will be
[tex]\rm D = \sqrt{(2-2)^2+ (-1-2)^2}\\\\D = \sqrt{3^2}\\\\D = 3[/tex]
Then the perimeter of the square will be
Perimeter = 4 × 3
Perimeter = 12 units
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Cartographers, navigators, and surveyors are a few of the professionals that use instruments relying heavily on trigonometry.
Look up these professions and one other not listed and describe how trigonometry is used in each of them. Do you see how trigonometry is important in your everyday life? Why or why not?
Cartographers use trigonometry for topographic mapping, while navigators use it to direct navigation, helping to identify location and distance.
Surveyors, on the other hand, use trigonometry to measure spatial data, such as height and angles of the land and urban and rural georeferencing.
How important is trigonometry?Trigonometry studies the relationships between the sides and angles of a triangle. This calculation instrument is used for studies in various fields of scientific knowledge, such as the study of phenomena in mechanics, engineering and medicine.
Therefore, there are several applications for trigonometry in social daily life, being an instrument that helps in obtaining scientific knowledge and development of society.
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Answer:
This was my answer, I did a lot of research for it
Step-by-step explanation:
According to wonderworksonline.com, "cartographers use the laws of plane trigonometry". This is used for topographical mapping which is a map that includes detailed, accurate landmarks.
Navigators use trigonometry to find directions. According to byjus.com, "with the help of a compass and trigonometric functions in navigation, it will be easy to pinpoint a location and also to find distance as well to see the horizon."
Trigonometry is used in land surveying to measure to height and angles of the land. According to prezi.com, "it can be used to measure the elevation from a certain point to a mountain, the distance between two trees, and distances across lakes."
Another profession that uses trigonometry is astronomy. Trigonometry is used to measure the distance between stars and planets. According to mytutor.co.uk, "this mathematical technique is also used by NASA scientists today when they design and launch space shuttles and rockets."
Trigonometry plays an important part in our everday lives. Without trigonometry, we wouldn't have GPS to navigate us. Trigonometry is also used by flight engineers to decide take off paths. Trigonometry is also used in the medical field for ultrasounds, the process of building prosthetic legs and arms, and surgeries.
In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.
56%
subtract 13 from 30, and you get 17. Then you need to divide 17 and 30
Answer: 56.7%
Step-by-step explanation:
Girls = 30 -13 =17
Girls = 17/30 × 100/1
Girls = 0.567× 100
Girls = 56.7%
Can you help me solve please!!
Answer:
2sin((1)x + 135)-3
Step-by-step explanation:
Asin(Bx+C)+D
A = amplitude = distance from top to bottom divided by 2
y value of top = -1
y value of bottom = -5
distance from top to bottom = -1 - (-5) = 4
divide by 2 to get 4/2 = 2 as our amplitude
2π/B = period
in this case, we're working in degrees for our x axis - 2π = 360°
thus, 360°/B = period
period = time it takes to get from one high to the next (alternatively, one low to the next etc.) = 360 degrees in this case
thus, 360°/B = 360°
divide both sides by 360° and multiply both sides by B to isolate B
360/360 = B = 1
phase shift = -C/B
phase shift refers to how much the graph is shifted to the left/right. normally, the middle of a sin wave is at 0, with a peak being to the right of it. now, the middle of the sin wave (which has a peak to the right of it) is at x = -135 degrees to the right of a regular sine wave
thus,
-135 degrees = -C/B
B = 1
-135 degrees = -C
C = 135 degrees
D = vertical shift
the center is now at y = -3. normally, the center is at y = 0. thus, D = -3
our formula is thus
2sin((1)x + 135)-3
Complete the table for the given rule.
Rule: y=x-4
6
0
4
Answer:
see below
Step-by-step explanation:
y = − x − 4
is in the slope-intercept form for a linear equation,
y = m x + b , where m is the slope and b is the y-intercept. In the given equation,
m = − 1 and b = − 4 .
Ordered Pairs
x = 10 when y = 6x = 4 when y = 0x = 8 when y = 4Thus, [tex]x=10[/tex], [tex]x=4[/tex], and [tex]x=8[/tex]
help asap
Use the graph to find the indicated value of the function.
f(-2) means the x value is -2 and you need to find the y value at that point.
At x = -2 the line crosses the y axis at y = 2
f(-2) = 2
If a pair related to the function is graphed
Then
(x,y) be a pairSo
f(x)=y
x is domainy is rangeHer e
f(-2)Find the point
(-2,2)So
f(-2)=2
Find the perimeter and the area of the polygon with the given vertices.
T (2,7), U (2,9), V (5,9), W (5,7)
The perimeter is
units [?]
The area is
square units [?]
Check the picture below.
Write the improper fraction as an mixed number 27/11
Answer:
2 and 5/11
Step-by-step explanation:
first we find how many times 11 goes into 27. It goes in twice, which gives us our whole number, 2. Then we need to find the fraction part, which is whatever's left over. 27-22 is 5, giving us 2 and 5/11
A family plans a road trip from Fairbanks to Newbury. The distance between the two cities is 240 miles when traveling on the highway. The family decides to take a new route, which they estimate will be 125% of the distance when traveling on the highway. There are approximately 48.28 kilometers in 30 miles. How many kilometers will the family drive on the new route? Round the answer to the nearest tenth. Enter the answer in the box.
Using proportions, it is found that the family will drive 482.8 km on the new route.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:
D = 1.25 x 240 = 300 miles.
Since there are are approximately 48.28 kilometers in 30 miles, and 300/30 = 10, the distance in kilometers is given by:
D = 48.28 x 10 = 482.8 km.
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In a survey of 900 students in a school, it was found that 600 students liked tea, 500 liked coffee, and 125 did not like both drinks.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the number of students who like both drinks.
(iii) Find the number of students who like one of these drinks only.
A) The number of students who like both drinks is 325.
B) The number of students who like one of these drinks only. 275
What is venn diagram?A Venn diagram is used to visually represent the differences and the similarities between two concepts.
Total students= 900
students like tea=600
students like coffee=500
Students did not like both drinks=125
Students who both or any one of the drinks= 900-125=725
Now,
students like both drinks= 600+500-725
= 325
Hence, the number of students who like both drinks is 325.
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A retailer sells volleyball nets for $36 that were acquired at a cost of $16. What percentage is the mark-up?
Write your answer using a percent sign (%).
Answer:
5.76
Step-by-step explanation:
5 stars on your answer. And a "thank you".
Answer:
the 4th option because 24 months times the amount plus the 39.99 to set up would get you a final answer
Answer:
39.99/24c = 351.75
24c + 39.99 = 351.75
Where c is the cost to set up an account
Step-by-step explanation:
Knowing that it given:
What is the cost(c) month for using the service for 24 months?
That means "Cost = c"
That leads us to the answer:
"Where c is the cost to set up an account"
We also know that we are finding for the 24 months thus 24c.
That leads us to
24c + 39.99 = 351.75 and 39.99/24c = 351.75
Hence, the answers are:
39.99/24c = 351.75
24c + 39.99 = 351.75
Where c is the cost to set up an account
Kavinsky
can someone help me im stuck on dis
[tex]~~~~(7x+8)+33 +90 = 180\\\\\implies 7x+131=180\\\\\implies 7x = 180 -131\\\\\implies 7x =49\\\\\implies x = \dfrac{49}7\\\\\implies x = 7[/tex]
which equation represents a linear function?
Answer:
y = x - 3
Step-by-step explanation:
a linear equation has the form
y = ax + b
the only equation in this form is
y = x - 3
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
48.89
Hope this helps!!
Answer: 48.89
Step-by-step explanation:
The proportion for tangent is the opposite side over the adjacent side.
[tex]\displaystyle \frac{\text{opposite \;side}}{\text{adjacent \;side}} =\frac{55}{48}[/tex]
Given:
tan(E) = [tex]\frac{55}{48}[/tex]
Inverse:
[tex]\displaystyle tan^{-1} (tan(E)) = (\frac{55}{48} ) tan^{-1}[/tex]
Simplify:
≈ 48.8879
Round:
≈ 48.89
Which is equivalent to x?
*image included below*
Answer:
[tex]\bigodot B.\:\: 31\sqrt 3[/tex]
Step-by-step explanation:
[tex]\huge x= 62.\cos 30\degree[/tex][tex]\huge x= 62.\frac{\sqrt 3}{2}[/tex][tex]\huge x= 31\sqrt 3[/tex]MULTIPLE CHOICE Which ordered pair is a solution of the linear system
x + y = -2 and7x
4y = 8?
A (-2, 0)
B (0, -2)
C (2, 0)
D (0,2)
Answer:
A. (-2, 0)
I hope this helps you.
LIKE 50-100 POINTS IDRK RIGHT ANSWERS ONLY OR I REPORT
What are the exact solutions of x2 − 3x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? x = the quantity of 3 plus or minus the square root of 37 all over 2 x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2 x = the quantity of negative 3 plus or minus the square root of 19 all over 2
Answer:
x = the quantity of 3 plus or minus the square root of 37 all over 2
Step-by-step explanation:
Given/To Find:
What are the exact solutions of x2 − 3x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?
Answer choices:
x = the quantity of 3 plus or minus the square root of 37 all over 2
x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2
x = the quantity of negative 3 plus or minus the square root of 19 all over 2
Solve:
By using the quadratic formula, the solutions are
[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4\times1\times(-7)}}{2\times1}[/tex]
[tex]x=\frac{3±\sqrt{37}}{2}[/tex]
Hence, the answer is :
x = the quantity of 3 plus or minus the square root of 37 all over 2
Kavinsky
Answer:
The exact solution is:
x = the quantity of 3 plus or minus the square root of 37 all over 2
Step-by-step explanation:
We are asked to find the exact solution of the polynomial equation which is given by:
[tex]x^2 - 3x - 7 = 0[/tex]
We know that the solution of the equation are the possible value of x which is obtained on solving the equation and hence satisfy the equation.
Now, on solving the quadratic equation i.e. degree 2 polynomial equation using the quadratic formula:
That is any polynomial equation of the type:
[tex]ax^2+bx+c=0[/tex]
is solved by using the formula:
[tex]x=\frac{-b±\sqrt{x} b^2-4ac}{2a}[/tex]
Here we have:
a=1, b=-3 and c=-7.
Hence, the solution of the equation is:
[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4*(-7)*1} }{2*1}[/tex]
[tex]x=\frac{3±\sqrt{9+28} }{2}[/tex]
[tex]x=\frac{3±\sqrt{37} }{2}[/tex]
Hence, the solution is:
x = the quantity of 3 plus or minus the square root of 37 all over 2
( i.e.
[tex]x=\frac{3±\sqrt{37} }{2}[/tex] )
Consider the following piecewise-defined function.
Answer:
11......................
What is the volume of the figure
Answer:
1,260
Step-by-step explanation:
you have too do 2 by 3 by 5 by 6 by 7 so you get
1,260