[tex]\stackrel{\textit{reciprocal ident.}}{csc(\theta)=\cfrac{1}{sin(\theta)}} ~\hfill \stackrel{\textit{symmetry ident.}}{sin(-\theta )=-sin(\theta)}~\hfill \begin{array}{llll} \stackrel{\textit{pythagorean ident.}}{sin^2(\theta)+cos^2(\theta)=1}\\ sin^2(\theta)=1-cos^2(\theta)\\ cos^2(\theta)=1-sin^2(\theta) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\cfrac{csc^2(-x)-1}{1-cos^2(-x)}\implies \cfrac{~~\frac{1}{sin^2(-x)}-1~~}{sin^2(-x)}\implies \cfrac{~~ \frac{1-sin^2(-x)}{sin^2(-x)}~~}{\frac{sin^2(-x)}{1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{keeping in mind that}~\hfill }{sin^2(-x)\implies [sin(-x)]^2\implies [-sin(x)]^2\implies [sin(x)]^2\implies sin^2(x)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{~~ \frac{1-sin^2(x)}{sin^2(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{1-sin^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cot^2(x)csc^2(x)~\hfill[/tex]
The bed of Jerry's pickup truck is 6 feet long. On
a scale model of the truck, the bed is 1/4 inch
What is the scale of the model?
6 ft
Answer:
1:4
Step-by-step explanation:
(1/4 in : 6 ft)
1/4 in : 6 (12 in)
1/4 in : 72 in
divide each side by 1/4
288/72 simplified is ...
1 : 4
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal 65.
What percent of the students chose Basketball?
Answer:
Yo…what’s the graph?
Step-by-step explanation:
-1083 +(-3974) what is ans
Answer: -5057 if im wrong let me know
Answer:
-5057
Step-by-step explanation:
Simplify the expression:
-1083 + 3974
-1083 - 3974
-5057
Find the probability of selecting a 3 or 4 when a single die is rolled once
Answer:
1/3
Step-by-step explanation:
there are 6 sides to a die : 1, 2, 3, 4, 5, 6.
as one can interpret, 3 & 4 take up 2 parts of the 6 possible options
each result has equal oppurtunity to occur
so for 3 or 4 to be rolled, there is a 2/6 chance, or 1/3 when simplified
I want a way to solve this question
Answer:
d
Step-by-step explanation:
Using the Cosine rule to find ∠ A
cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
= [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]
= [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]
= [tex]\frac{5.21}{58.14}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )
11. Write the equation of a line passing through the two points. First find the slope and the y-
intercept
(0,3) and (2,6)
Answer:
Y intercept is (0,3)
Step-by-step explanation:
Check out the image
The school counselor needs to meet with students who have more than three absences. Here is some of the data about the students. Who are the individuals in this data set?
- Students
- School counselors
- Homeroom teachers
What does this data set contain?
- 2 variables, 1 of which is quantitative
- 2 variables, 2 of which are quantitative
- 5 variables, 1 of which is quantitative
- 5 variables, 3 of which are quantitative
Answer:
The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
Step-by-step explanation:
Individuals are the people or things described by a data set.
Variables are characteristics of the individuals that we measure or observe.
Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables.
The individuals described by this data set are students.
The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counselors.
One of the variables--absences--is quantitative.
The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
What is a dataset?A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data.
Individuals are the people or things described by a data set.Variables are characteristics of the individuals that we measure or observe.
Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables. The individuals described by this data set are students.
The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counsellors. One of the variables--absences--is quantitative.
Therefore the individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
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Solve for k.
k/4+ 3= 14
Answer:
k/4+3=14
First you need to isolate the variable.
multiply both sides by 4
Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
If x represents the number of portraits that Ron sells at the mall, which of the
following expressions would represent Ron's profit (how much money Ron will walk
away with at the end of the day)? (There is more than one answer)
12. 25x – 22.00
15.50x – 22.00
0-22.00 + 15.50x – 3.25x
15.50x
3. 25x – 22.00
22.00x – 3.25x
15.50
Answer:
A and CStep-by-step explanation:
With the amount x of portraits the daily balance is:
- $22.00+ $15.50x- $3.25xThe total is:
15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00Correct choices are A and C
With the amount x of portraits the daily balance is:
- $22.00
+ $15.50x
- $3.25x
The total is:15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00
Correct choices are A and CWhat is the answer to the question. Solve for x
Answer:
[tex]x=\frac{75}2[/tex]
Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]
are 1/2 and 2/4 proportional?
Answer:
yes they are proportional
Can someone explain how you do fractions like adding them? And what rules they have to find the answer?
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
solve and check the equation
2(4-5x) = 2(3x+2)
Find the measure of the indicated angle to the nearest degree
[tex]\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}[/tex]
What is the scale factor k? The hummingbird nectar recipe is 4 cups of
water to every 1 cup of sugar. If I double the recipe, I will need 8 cups of
water and 2 cups of sugar. If I want half of the recipe, I would need 2 cups
of water and 1/2 cup of sugar. What is the scale factor of water to sugar?
k=
Answer:
2
Step-by-step explanation:
Scale factor of water to sugar=k
So,
k= amount of water/amount of sugar
=4 / 2
= 2 ANS
George is building a rabbit run in his backyard he makes the length 2/7km and the width 1/5km draw a sketch of his rabbit run and then find the area
Here !
I hope this helps you a little ,
How do I write 435 in expanded from
Answer : 400 + 30 + 5
Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".
4 --> Since it's in the hundreds place that means the number is 400 !
3 --> Since it's in the tenths place that means the number is 30 !
5 --> Since it's the first digit that means it stays as the number 5 !
Hope this helped ! <33
Take care happy holidays ! Contact me if you need more help on this ! ( If you want )
0.081 to the nearest hundredth
Answer:
0.08
Step-by-step explanation:
a 1 in the thousandths place is dropped in standard rounding to the nearest hundredth.
Answer:
0.08
Step-by-step explanation:
In 0.081, 0 is the tenth, 8 is the hundredth, and 1 is the thousandth. So as you want to approximate to the nearest hundredth, you have to look at the number behind 8 which is 1. And, 1 is less than 5, so you don't have to round up.
It takes 4 3/8 cups of cheese,7/8 cups of olives,and 2 5/8 cups of sausage to make a signature pizza. How much of each ingredient is used for 10 pizzas
I want a way to solve such a problem
Answer:
none of these is the answer
hope it helps you
Step-by-step explanation:
Hope it will help you...
help me out guys!!!!!!!
Answer:
[tex] \frac{5 \sqrt{11} }{11} [/tex]
you are correct !!
what is the slope of
12(x−6)=4(y+3)
Step-by-step explanation:
the slope is always the factor a of x in the form
y = ax + b
so let's transform the original equation into this form :
12(x - 6) = 4(y + 3)
12x - 72 = 4y + 12
12x - 84 = 4y
3x - 21 = y or y = 3x - 21
therefore, the slope is 3.
Read Fred's conclusion. If the sum of the digits of a number is a multiple of 3. then the number is a multiple of 6. Which statement best summarizes Fred's conclusion? The conclusion is true.
A .The number 42 is an example The conclusion is true.
B There are no counterexamples The is false.
C There are no counterexamples. The conclusion is false.
D The number 45 is a counterexample
Answer:
the answer would be a because 42÷6=7 and 42÷3=14.
The correct answer is option A) The number 42 is an example The conclusion is true.
42 is a multiple of both 3 and 6.
How many does multiple mean?
Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.
What is a multiple in math?A multiple in math is the number you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.
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Help help math math
Answer:
1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -15 - -14) / ( -11 - (-10))
= (-15+14) /(-11 + 10)
= -1 / -1
= 1
Answer:
The answer is 1
Step-by-step explanation:
A self-storage center has many storage rooms that are 6 feet wide, 10 feet deep, and 12 feet high. What is the volume of the room?
Answer:
720 ft^3
Step-by-step explanation:
6 * 10 *12
v = l * w * h
6 * 10 * 12 = 720
Volume is a three-dimensional scalar quantity. The volume of the self-storage centre room is 720 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a room or box that is the shape of a rectangular prism is calculated by multiplying the length, width, and height of the prism.
Volume = Length × Width × Height
Given that the self-storage centre room's are 6 feet wide, 10 feet deep, and 12 feet high. Therefore, the dimension of the room can be written as,
Length = 10 ft
Width = 6 ft
Height = 12 ft
Now, the volume of the room can be written as,
Volume of the room = 10ft × 6ft × 12ft
= 720 ft³
Hence, the volume of the self-storage centre room is 720 ft³.
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Help meeeeeeeeeeeeedsddsss9
Answer:
2(x + 3) <9
Step-by-step explanation:
Two times the quantity of a number increased by 3 is less than 9
2 · (x + 3 ) < 9
= 2(x + 3) <9
Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'
measures 65. What is the measure of side KL?
What could be
a good option available to you if you are
behind on loan payments?
A good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.
For a good financial management, the best decision to make profit or avoid loss is paramount.
The most difficult challenge faced today by loan companies is the non complaisance of the customers to pay back when the period given expires.
The best option that may be available for the loan manager must be a request for the customer to pay part of the loan and complete the payment in the next pay day.
Thus, a good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.
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if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height
Please Guyz I Want Full Solved Not Just Answer Please
Answer:
The height of cuboid is 50 cm.
Step-by-step explanation:
Given :
➺ Length of cuboid = 60cm➺ Width of cuboid = 40cm.➺ Surface area of cuboid = 14800cm²To Find :
➺ Height of cuboidUsing Formulas :
[tex]\star\small{\underline{\boxed{\sf \pink{SA_{(Cuboid)} = 2(lb + bh + lh)}}}}[/tex]
»» SA = surface area »» l = length »» b = breadth »» h = heightSolution :
Substituting all the given values in the formula to find height of cuboid :
[tex]{\longrightarrow{\sf{SA_{(Cuboid)} = 2(lb + bh + lh)}}}[/tex]
[tex]{\longrightarrow{\sf{14800= 2(60 \times 40 + 40 \times h + 60 \times h)}}}[/tex]
[tex]{\longrightarrow{\sf{14800= 2(2400 + 40h + 60h)}}}[/tex]
[tex]{\longrightarrow{\sf{14800= 2(2400 + 100h)}}}[/tex]
[tex]{\longrightarrow{\sf{14800= 4800 + 200h}}}[/tex]
[tex]{\longrightarrow{\sf{200h = 14800 - 4800}}}[/tex]
[tex]{\longrightarrow{\sf{200h = 10000}}}[/tex]
[tex]{\longrightarrow{\sf{h = \dfrac{10000}{200}}}}[/tex]
[tex]{\longrightarrow{\sf{h = \cancel{\dfrac{10000}{200}}}}}[/tex]
[tex]{\longrightarrow{\sf{\underline{\underline{\red{h = 50 \: cm}}}}}}[/tex]
Hence, the height of cuboid is 50 cm.
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
find the derivitive of f(x)=(x+9)/(x+1)
[tex]\dfrac{d}{dx} \left(\dfrac{x+9}{x+1}\right)\\\\\\=\dfrac{(x+1)\dfrac{d}{dx}(x+9) - (x+9) \dfrac{d}{dx}(x+1)}{(x+1)^2}\\\\\\=\dfrac{(x+1) - (x+9)}{(x+1)^2}\\\\\\=\dfrac{x+1-x-9}{(x+1)^2}\\\\\\=-\dfrac{8}{(x+1)^2}[/tex]