Answer:
[tex]\csc(\theta)[/tex]
Step-by-step explanation:
[tex]\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
[tex]\implies \sin(\theta)+\cos(\theta)\times\cot(\theta)=\sin(\theta)+\cos(\theta)\times\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]
[tex]=\sin(\theta)+\dfrac{\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{\sin^2(\theta)}{\sin(\theta)}+\dfrac{\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{\sin^2(\theta)+\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{1}{\sin(\theta)}[/tex]
[tex]=\csc(\theta)[/tex]
Over the weekend, Cedrick drove 45 1/4 miles. He used 2 1/2 gallons of gasoline. What is the unit rate for miles per gallon?
1 [tex] \frac{5}{8}\\ [/tex]
Step-by-step explanation:
To find unit rates, divide the number in the numerator of the rate by the number in the denominator of the rate. A car traveled 344 miles on 16 gallons of gasoline. To find the miles per gallon (unit rate), divide the numerator of the rate by the denominator of the rate. 344/16 = 21.5 miles / gallon is the rate.
==> [tex] 45\frac{1}{4} \div 2 \frac{1}{2} [/tex]
==>[tex] \frac{181}{4} \div \frac{5}{3} \\ [/tex]
==>[tex] \frac{181}{4} \times \frac{2}{5} [/tex]
==>[tex] \frac{362}{20} [/tex]
==> 18.1
==> 1 [tex] \frac{5}{8}\\ [/tex]
Select the correct answer.
What argument does Thomas Jefferson make in this excerpt from the Declaration of Independence?
Creator with
(((3x)^(-1)-(4y)^(-1)))/((9x)^(-2)-(16y)^(-2))..
Simplified: xy/3y+4x
factored: 1/(3/x)+(4/y)
er
5 ~ Challenge: Iris is considering adding a vegetable
garden in her yard. She has a square space with an
area of 25x2 + 40x + 16. Find an expression to
represent the side lengths of the possible vegetable
garden. Sketch her vegetable garden.
e new
ual
ermine
-ssion
How?
Answer:
(5x+4)x(5x+4)
Step-by-step explanation:
Factor using quadratic formula (or AC method if you prefer)
formula: [-b ±[tex]\sqrt{b^{2} -4ac}[/tex]]/2a
Plug in
[-40 ± [tex]\sqrt{1600-1600}[/tex]]/2(25)
-40/50
x=-4/5
But since we need to find the factored form we put everything on one side.
5x+4=0
Since there is no ±, that means that there is perfect square. Both sides would be 5x+4
I need help with this
Given that ABCD is a rhombus. Prove ∠1≅∠2.
Answer:
1) ABCD is a rhombus
2) All sides of a rhombus are equal.
4) SSS
5) CPCTC
Need help with this please
Answer: for 10. the answer is 29y and 49y and for 11 the answer is 119 x 146y
Step-by-step explanation: Tutor verified) If you take 1-3x 57y92 you get 29y and if you get 5-4y 178x1 -119 wich is 146y
URGENT! I need this quickly please, what is the median? Thank you so much
Answer:
C. 51
Step-by-step explanation:
I did this already on a test and got the answer right.
Answer:
C
Step-by-step explanation:
let's sort the numbers first :
35, 38, 43, 45, 51, 51, 55, 62, 64
the median is now the middle number of the sorted list :
51
Marie noticed that she was eating 2100 calories per day she began a diet and limited herself to 1300 calories per day. What is the percent of decrease? Round to the nearest percent.
Answer:
decrease of 38% (to nearest percent)
Step-by-step explanation:
Percent change = [ (difference between final and initial value) ÷ initial value] x 100
⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)
Question 20. Describe the graph of the following equation.
Answer:
Step-by-step explanation:
Decreasing left to the right
horizontal line
increasing left to the right
Vertical line
Decreasing left to the right
Gravitational force between two objects decreases when the distance between them increases.
O True
O False
Answer:
True
Gravitational force is inversely proportional to the square of the distance
i need brainliest for level up please : )
A theater has 1,008 seats in 36 equal rows. How many seats are in each row?
Answer:
28
Step-by-step explanation:
Rows are equal, so number of seats=N*36=1008
N-number of seats in a row
N=1008/36=28
PLEASE HELP ME ANSWER THIS QUESTION I WILL MARK YOU BRAINLIEST
We can identify the y-intercept very easily. Since, The equation is given in slope-intercept form:
[tex]y = mx + b[/tex]
Where,
m is slopeb is y-interceptCompare to the given equation:
m = -1/4b = -5Function 2 :Observe the point where function meets the y-axis
The point of meeting is (0,-5)Thus, The y-intercept is -5[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex] - 5 = - 5[/tex]
Therefore, Both functions have the same y-intercepts...~
Claim: Fewer than 93% of adults have a cell phone. In a reputable poll of 1059 adults, 88% said that they have a cell phone. Find the value of the test statistic.
what is the answer please
Answer:
504 [tex]in^{2}[/tex]
Step-by-step explanation:
area of the square -> 14*14 = 196
area of one of the triangles -> 1/2(11*14) = 77
area of all four triangles -> 77 * 4 = 308
surface area = area of square + area of four triangles
= 196 + 308
= 504
Big Points
What is the equation of a horizontal line that passes through the point (4, -5)?
Question 2 options:
y = 4
y = -4
y = 5
y = -5
Answer:
y = -5
Step-by-step explanation:
The coordinate point is in the format (x, y)
Therefore, the y-value of (4, -5) is -5
So the equation of the horizontal line is therefore y = -5
A horizontal line at point (4,-5) would need to pass through the The y value of the given point.
Answer: y = -5
What are the potential solutions to the equation below? 2In(x+3)=0 x=-3 and x=-4 x=-2 and x=-4 a=2and x=-3 a=2 and x=4
Answer:
x = -2 and x = -4
The solution to the given equation is [tex]x=-2[/tex] .
What are equations?Equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
We have,
[tex]2ln(x+3)=0[/tex]
Now,
Divide the above equation by [tex]2[/tex],
We get,
[tex]ln(x+3)=0[/tex]
Using the properties of logarithms,
We get,
[tex](x+3)=1[/tex] [tex](Because\ ln(0)=1)[/tex]
[tex]x=-3+1[/tex]
[tex]x=-2[/tex]
So, the solution to [tex]2ln(x+3)=0[/tex] is [tex]x=-2[/tex] , using properties of logarithms.
Hence, we can say that the solution to the given equation is [tex]x=-2[/tex] .
To know more about equation click here
https://brainly.com/question/2263981
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the expression x^4-9
a. (x^2-3) (x^2-3)
b. (x^+3) (x^+3)
c. (x^2+3) (x^2-3)
d. (x^+1) (x^2-9)
Answer: C
Step-by-step explanation:
By the difference of squares, [tex]x^{4}-9=(x^{2}+3)(x^{2}-3)[/tex]
What is the area of a rectangle with a length of 313 feet and a width of 123 feet?
279 ft²
329 ft²
559 ft²
813 ft²
Answer:
the answer is 559
Step-by-step explanation:
I took the quiz
Divide 0.4 / 41 Enter your answer as a decimal in the box.
Answer:
0.4 / 41=0.009760
It starts to repeat the same numbers
Step-by-step explanation:
please help!
find the value of x
Answer:
24°
Step-by-step explanation:
[tex]180 - (94 + 41) = 45[/tex]
[tex]180 - (111 + 45) = 24[/tex]
Write an expression that is equivalent to 1/4x + 1 + 3/4 - 2/3 - 1/2x
Answer:
~Y/n here~ I beleive this is your answer!
1/12 (13 - 3x)
(Hope this helps!)
if 50 percent of number is 26 what is 75 percent of
Answer:
If 50%= 26 25%=13 (half)
50%+25%=75%
so 26+13= 39.
75%=39
find the coordinats of P
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(8,6)\qquad B(-2,-9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(8,6)=3(-2,-9)[/tex]
[tex](\stackrel{x}{16}~~,~~ \stackrel{y}{12})=(\stackrel{x}{-6}~~,~~ \stackrel{y}{-27})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{16-6}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{12-27}}{3+2} \right)} \\\\\\ P=\left( \cfrac{10}{5}~~,~~\cfrac{-15}{5} \right)\implies P=(2~~,~~-3)[/tex]
Diane is participating in a 6-day cross-country biking challenge. She biked for 54 , 50 , 47 , 55 , and 60 miles on the first five days. How many miles does she need to bike on the last day so that her average (mean) is 53 miles per day?
The formula for mean/average is m = sum of the terms/number of the terms. Basically, you add all the numbers provided and divide it by how many of them.
So our terms are 48, 54, 51, 69, 64. We are missing the last term, which the problem needs us to find, in order to meet the requirement of the average 58 miles per days, which is m.
Let's call the last term x.
m = sum of the terms/number of the terms
58 = (48 + 54 + 51 + 69 + 64 + x)/6
We need to work backward the formula to find x.
Because (48 + 54 + 51 + 69 + 64 + x) divided by 6 gives us the m, which is 58, we will multiply 58 by 6 to give us the sum of (48 + 54 + 51 + 69 + 64 + x)
58 * 6 = 348
So 348 is the sum of 48 + 54 + 51 + 69 + 64 + x. Let make it into an equation:
48 + 54 + 51 + 69 + 64 + x = 348. Now, simplify it by adding all the values except x.
286 + x = 348. Now what is left is to take 348 minus 286, which gives us 62.
Let's check by plugging 62 as x into the mean formula.
(48 + 54 + 51 + 69 + 64 + 62)/6 = m = 58
Hope this helps!
How does f(t) = 3 x 9 ^t change over the interval from t = 6 to t = 7?
Answer:
sorry got it wrong on the first try. Increases by 800% is the answer
Step-by-step explanation:
put x = 3 into f(x)=6x and you get f(x) = 18
Put x = 4 into f(x) and you get f(x) = 24
Subtract those two. 24 - 18 = 6
Also, f(x) = 6x it will always be 6 away from the next x you put into the equasion.
Or better said, it will be 6 more from 6x, because you are changing the x to X+1, hence,
6(x+1) = 6x + 6.
+6, it increases.
What is probability P(56
Answer:
10
Step-by-step explanation:
pretty sure
Is 7x=5x-25+30 no solution,one solution, or all real numbers?
Thank you!
One solution let's find that
[tex]\\ \rm\hookrightarrow 7x=5x-25+30[/tex]
[tex]\\ \rm\hookrightarrow 7x=5x+5[/tex]
[tex]\\ \rm\hookrightarrow 2x=5[/tex]
[tex]\\ \rm\hookrightarrow x=5/2[/tex]
Answer:
one solution
Step-by-step explanation:
[tex]7x=5x-25+30[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-25+30=5[/tex]
[tex]7x=5x+5[/tex]
[tex]\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}[/tex]
[tex]7x-5x=5x+5-5x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2x=5[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{5}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{5}{2}[/tex]
[tex]x=2.5[/tex]
~lenvy~
One gallon of paint will cover 400 square feet. How many gallons of paint are needed to cover a wall that is 8 feet high and 100 feet long?
A) 1/4
B) 1/2
C) 2
D) 4
Answer:
the correct answer is option c. hope it helps. please mark me as brainliest .
find the perimeter and area of the rectangle
