Answer:
[tex]\cos \left(90 ^\circ - x\right) \approx 0.1688[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \tan x = \frac{3}{7}[/tex]
And we want to find the value of:
[tex]\displaystyle \cos \left(90^\circ - x\right)[/tex]
Recall that by definition, tan(θ) = sin(θ) / cos(θ). Hence:
[tex]\displaystyle \frac{\sin x }{\cos x} = \frac{3}{7}[/tex]
And by definition, sin(θ) = cos(90° - θ). Hence:
[tex]\displaystyle \frac{\cos \left(90^\circ - x\right)}{\cos x} = \frac{3}{7}[/tex]
Multiply:
[tex]\displaystyle \cos \left(90 ^\circ - x\right) = \frac{3}{7} \cos x[/tex]
Find cosine. Recall that tangent is the ratio of the opposite side to the adjacent side. Therefore, the opposite side is 3 and the adjacent side is 7.
Thus, by the Pythagorean Theorem, the hypotenuse will be:
[tex]\displaystyle h = \sqrt{3^2 + 7^2} = \sqrt{58}[/tex]
Cosine is the ratio of the adjacent side to the hypotenuse. Therefore:
[tex]\displaystyle \cos x = \frac{7}{\sqrt{58}}[/tex]
Thus:
[tex]\displaystyle \cos \left(90 ^\circ - x\right) = \frac{3}{7} \left(\frac{3}{\sqrt{58}}\right)[/tex]
Use a calculator. Hence:
[tex]\cos \left(90 ^\circ - x\right) \approx 0.1688[/tex]
Mis Gurung is a bank Manager in a development bank. She draws Rs 75000 every month and a Dashain bonus of one months salary. Find her income tax in a year.
Answer:
With new regime is 183,750Rs
Step-by-step explanation:
I. 75,000 * 13 [12 months + 1 month bonus] = 975,000
II. Ms.Gurung tax rate will be ₹37500 + 15%
III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250
IIII. ₹37500 + 146,250 = 183,750Rs
It depends on how tax rate will costs, could be more or less.
what is y=2x*2-6x-8 as a graph
Answer:
[tex] \bf \: y = 2 {x}^{2} - 6x - 8[/tex]
It is equation of a parabolla.
It is to be noted that the graph of y = 2x * 2-6x-8 which when simplified is y = -12x² - 12x. is attached accordingly.
What are the qualities of the graph of y = -12x² - 12x?The graph of y = -12x² - 12x is a downward-opening parabola.
It has a concave shape and its vertex is the highest point on the graph. The axis of symmetry is a vertical line passing through the vertex.
The graph may intersect or be tangent to the x-axis at two points, one point, or no points, depending on the discriminant.
Learn more about Graph at:
https://brainly.com/question/19040584
#SPJ6
Simplify (x³ - y²)(x+y) divided by (x² - y²)³
can you guys give me proper explanation?
Answer:
x^4 - yx^3 - xy^4 - y^5
Step-by-step explanation:
(x³ - y²)(x+y) / (x² - y²)³
(x^3 - y^2) (x+y) / (x^6 - y^6)
(x^3 - y^4) (x+y)
x^4 - yx^3 - xy^4 - y^5
Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer
Answer: (13,-7)
Step-by-step explanation:
By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]
[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.
For finding the midpoint X variable do:
[tex](\frac{4+22}{2})=13[/tex]
For finding the midpoint Y variable do:
[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.
Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.
x: 13
y: -7
(13,-7).
CAN SOMBOBY HELP ME find the surface area of each figure. Round it to the nearest tenth if necessary.
Answer:
365.65
Step-by-step explanation:
you can find the formula online
The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
X
oc
Answer: 2
Submit Answer
Just need some help
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
45 - 45 - 90 Triangles
When one leg = x, the hypotenuse = x[tex]\sqrt{2}[/tex]
So, if the hypotenuse is 1, then divide by [tex]\sqrt{2}[/tex] to get the leg.
[tex]\frac{1}{\sqrt{2} }[/tex] rationalize denominator.
[tex]\frac{1}{\sqrt{2}}[/tex] × [tex]\frac{\sqrt{2}}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2}}{\sqrt{2} \sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{\sqrt{4}}[/tex] = [tex]\frac{\sqrt{2}}{2}[/tex]
x(x - 2) = 4 please help
Answer:
[tex]x = 1 + \sqrt{5} x = 1 - \sqrt{5} [/tex]
Find cos A and cot B exactly if a=15 and b=11 , what will Cos A be and Cot B be?
Answer:
D. <15/√346>
Have a nice day! :)
Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades
Answer:
Imperfect substitutes
explanation:
The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.
Factor the polynomial x^2+9x+8 using the pattern x^2+(a+b)x+ab=(x+a)(x+b)
Answer: final answer is (x+1) (x+8)
We need two numbers that...
Add together to get 9
Multiply together to get 8
Try 1 and 8:
1+8 = 9
1*8 = 8
therefor the answer is (x+1) (x+8)
HELP PLEASE ASAP
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for 1 year or less?
6 schools
8 schools
12 schools
14 schools
Answer:
6 schools
Step-by-step explanation:
The answer is 6 schools.
In a box and whisker plot, every piece of whisker or box represents 25% of the whole number of schools.
The schools participated 1 year or less are represented by the left part of the whisker. Which stands for 25%.
To make an equation we need to set 100% = 24 and solve for 25% :
[tex] \frac{25}{100} = \frac{x}{24} [/tex]
solvr and x=6
. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x minus one.
f(g(x)) = 8 Square root of quantity x minus four.
f(g(x)) = 2 Square root of quantity two x plus one.
f(g(x)) = 8 Square root of quantity x plus nine - 13
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt( x+9)
g(x) = 8x-13
f(g(x))
place the function g(x) in for x in f(x)
f(g(x)) = sqrt(8x-13+9)
Combine like terms
f(g(x)) = sqrt(8x-4)
Factor out 4
f(g(x)) = sqrt(4*(2x-1)
2 sqrt(2x-1)
[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]
[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]
g(x) will be put on the place of x[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]
1-tanx/1+tanx=1+sin2x
are you sure about the ques?
Help me pleaseeeeeeee
Answer:
The surface area is:
276cm^2
Step-by-step explanation:
10x5=50x2=100
4x5=20x2=40
10x4=40x2=80
100+40+80=220
6x2=12x4=48
2x2=4x2=8
48+8=56
220+56=276
What is the area of this triangle?
I can't type it I have to solve on a paper for you
Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)?
Answer:
(1c times 9/5) +32
That is the way to figure out °1c as 33.8°
Hope it helped
Please help me with this I need it
9514 1404 393
Answer:
2/3
Step-by-step explanation:
Let x represent the fraction of Cheryl's income she spent in September. Then 1-x is the fraction she saved.
In October, her spending increased by 0.2x, and her savings decreased by 0.4(1 -x). Since Cheryl spends or saves all of her income, these two change amounts must be equal:
0.2x = 0.4(1 -x)
x = 2(1 -x) . . . . . . multiply by 5 to clear fractions
x = 2 -2x . . . . . . eliminate parentheses
3x = 2 . . . . . . . . add 2x
x = 2/3 . . . . . . divide by 3
Cheryl spent 2/3 of her income in September.
Please help me get the answers
Answer:
1. (4)
2. (2)
Step-by-step explanation:
Si confused as to how to solve this
Answer:
x^2, 10-x , 1.5x -5
Step-by-step explanation:
name all sets of number for -15
Answer:
all negative number to -15
Rachel's birthday party will cost $18 if she invites 6 guests. What is the unit rate?
Answer:
3
Step-by-step explanation:
Answer:
$3 per guest
Step-by-step explanation:
18/6
= 3
Help pls :(
Solve for x.
-4 + 3x = 20
Answer:
x = 8
Step-by-step explanation:
Given
- 4 + 3x = 20 ( add 4 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-4 + 3x = 20}\\\rightarrow\large\textsf{3x - 4 = 20}\\\\\large\text{ADD 4 to BOTH SIDES}\\\large\textsf{3x - 4 + 4 = 20 + 4}\\\large\text{CANCEL out: \textsf{-4 + 4} because that gives you \textsf 0}\\\large\text{KEEP: \textsf{20 + 4}} \text{ because it gives you the \textsf{x-value}}}\\\\\large\textsf{20 + 4 = \bf 24}\\\\\large\text{DIVIDE 3 to BOTH SIDES}\\\\\mathsf{\dfrac{3x}{3}= \dfrac{24}{3}}\\\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you \textsf 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps gives you the result of the \textsf{x-value}}\\\\\mathsf{x = \dfrac{24}{3}}\\\\\large\textsf{x= 24}\div \large\textsf{3}}\\\large\textsf{x = \bf 8}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 8}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Question 1
Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height
checkboxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes.
Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make
sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the
tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for
you.
Answer:
.
Step-by-step explanation:
2: 5, 10, 261.8, 785.4, 0.33
3: 7, 20, 1,026.3, 3,078.8, 0.33
4: 8, 6, 402.1, 1,206.4, 0.33
5: 12, 11, 1,658.8, 4,976.3, 0.33
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each verbal description to its equivalent function rule as applied to the given function below. The function f stretched vertically by a factor of 2 and translated down by 3 units. arrowBoth The function f reflected about the y-axis and translated 3 units left. arrowBoth The function f stretched vertically by a factor of 3 and translated up by 2 units. arrowBoth The function f translated 2 units down and 3 units right. arrowBoth
Answer:
The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]
The function f reflected about the y-axis and translated 3 units left. ---> [tex]g(x) = -7x-16[/tex]
The function f stretched vertically by a factor of 3 and translated up by 2 units. ---> [tex]g(x) = 21x +17[/tex]
The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]
Step-by-step explanation:
Explanation could not be submitted; So, I added it as an attachment
Answer: answer below :)
Step-by-step explanation:
hat is the measure of x?
X = [?]
D
126
Answer:
since those are angles on a straight line.
we work out as follows
x+126°=180°x+126°-126°=180°-126°x=54°∠DBA and ∠DBC are making linear pair.
Linear pair of angles are formed when two lines intersect each other at a single point.
The sum of angles of a linear pair is always equal to 180°[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]
142°
3xº + 220
X =
degrees.
Step-by-step explanation:
hope it will help you market is brilliant
Write equivalent expressions.
1. 5(a+a+a)= ________________________________________________________________________
2.6(3x-4)=____________________________________________________________ _______
Answer:
15a
18x -24
Step-by-step explanation:
5(a+a+a)
Combine terms in the parentheses
5(3a)
Multiply
15a
6(3x-4)
Distribute
18x -24
find the missing length
Answer:
it is an rigjt angle triangle you shoult pythogores therom if you will know it it will be easy to you to understand this question
In a city of 26000 populations, 5000 read English newspaper, 12000 read Nepali newspaper and 1000 read both. What percentage read neither English and Nepali newspaper? ( from set theory )
Answer:
38.46%
Step-by-step explanation:
total readers=16000
population=26000
no of non-readers=total population-total readers
=26000-16000
=10000
percentage of non-readers=non-readers×100%
population
=10000×100%
26000
percentage of non-readers is 38.46%
What is the interquartile range of this data set? 1,5,12,14,29,45,48,61,72,84,96
Answer:
60
Step-by-step explanation:
Q1 = 12
Q3 = 72
the interquartile range = Q3-Q1 = 72-12 =60
