Answers
in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus
[tex]tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]
[tex]c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill[/tex]
Related Questions
what is the volume of a sphere if its radius is 30
Answers
Answer:
About 113,097.34 units
Step-by-step explanation:
The volume of a sphere can be found with the equation V = [tex]\frac{4}{3}[/tex]πr³ when r is the radius.
V = [tex]\frac{4}{3}[/tex]πr³
V = [tex]\frac{4}{3}[/tex]π(30)³
V ≈ 113,097.34 units
2. Determine whether the two functions are inverses.
f (x) = 1/2 x-3
g(x)= 2x+6
please help
Answers
Answer:
The two functions are inverses.
Step-by-step explanation:
Recall what an inverse is:
When you inverse an equation, like y = 2x for example, you switch, the y and x values. So you'd now have x = 2y, then x/2 = y.
In a case like that we'd say that, y = 2x, and y = x/2 are inverses of each other.
Now looking at your question, all we'd need to do is take the inverse of 1, and see if it matches up with the other one. So pick a function. I'll choose g(x) and I'll inverse it.
[tex]g(x) = y = 2x + 6[/tex]
get rid of the g(x), as it doesn't help you anymore.
[tex]y = 2x + 6[/tex]
then, switch the x and the y.
[tex]x = 2y + 6[/tex]
then isolate for y.
[tex]x - 6 = 2y[/tex]
[tex]\frac{x-6}{2} = y[/tex]
Now let's see, does [tex]f(x) = \frac{1}{2}x - 3[/tex] equal [tex]\frac{x-6}{2}[/tex] ? Well actually yes.
We just didn't simplify all the way.
[tex]\frac{x-6}{2} = y\\[/tex]
divide each term by 2
[tex]\frac{x}{2} - 3 = y[/tex]
[tex]\frac{x}{2}[/tex] can be written as [tex]\frac{1}{2}x[/tex] so we get
[tex]\frac{1}{2}x - 3[/tex] which is equal to f(x)
Therefore the 2 functions are inverses.
Q.E.D
Find the measure of angle GHI.
Answers
Answer:
119 is correct answer.
Step-by-step explanation:
angle GHI+90+151=360 (being complete turn angle)
angle GHI =360-119
angle GHI =119
what is AxBxD and A=130 B=300 and D=? and when do the multiplication do the answer x 900 and than we are done :)
Answers
please help meeeeeeeeeeeeeeee
Answers
Answer:
They given expresión is Pd y no mi al
Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?
Answers
711=79%
711/1=79/100
711/79=9
9x100=900
the trip was 900 miles all together. you can check if your answer is right by multiplying 900 by 0.79. If it comes out to 711, you are right.
Find the area of the trapezoid
Answers
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=2\\ a=3\\ b=9 \end{cases}\implies A=\cfrac{2(3+9)}{2}\implies A=12[/tex]
Determine the scale factor
LMNO Became HIJK
Answers
Answer:
2
Step-by-step explanation:
The scake factor is 2
Answer is 2
Please help i am confused
Answers
Answer: (4)
Step-by-step explanation:
The parts listed in the congruence statements don't correspond, so they aren't necessarily congruent.
56 is what percent of 16?
Pls give me the answer and not a random website :)
Answers
Answer:
350%
56/100 x 100/100
56x100/16 x 100 would equal 350/100
i got the first part but cant figure out the second, help would be appreciated
Answers
Answer:
see explanation
Step-by-step explanation:
look at the explanation& answer photo
Danielle invests $50 a month in an annuity that earns 4% APR and is compounded monthly. What is the future value of Danielle's account in 3
years?
A. $1909.06
B. $2082.39
C. $2153.85
D. $1843.29
Answers
The future value of Danielle's account in 3 years given the amount invested monthly and the APR is $1909.06.
What is the future value of the account?The formula that can be used to determine the future value of the annuity is: monthly deposits x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 4%/12 n = number of years = 3 x 12 = 36$50 x [(1.003333^36) - 1] / 0.003333 = $1909.06
To learn more about future value, please check: https://brainly.com/question/24108530
giving brainlist please help me out
Answers
Answer:
681 m^3
Step-by-step explanation:
Winder only found part of the volume. He also needs to find the volume of the hemisphere.
I would first find the volume of the cylinder like Winder, then proceed to calculate the volume of the hemisphere, which is V = 4/3π(4^3)=27.16 m^3. The total volume inside the storage tank is 681 m^3 when rounded to the nearest cubic meter.
I need help!!!!
The square below has the given side lengths. x is positive
Answers
Answer:
Value of X: X=2
Length of One Side: 31
Area: 961u^2
Perimeter: perimeter = 124
Step-by-step explanation:
Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.
Answer:
See below, please
Step-by-step explanation:
This square
[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]
[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex](x + 10) \times (x - 2) = 0[/tex]
Hence,
[tex]x1 = 2[/tex]
[tex]x2 = - 10[/tex]
Because x is positive, So,
[tex]x = 2[/tex]
Then we know
The length of one of the sides
[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]
The area of the square
[tex] = {31}^{2} = 961[/tex]
The perimeter of the square
[tex] = 31 \times 4 = 124[/tex]
Unit 4: Congruent Triangles Homework 2: Angles of Triangles
Answers
The value of the third angle that can be found in the information given about the congruent triangles will be 45°.
How to solve the triangle?From the complete information, the angles that are given in the triangle are 76° and 59°.
It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:
= 180° - (76° + 59°)
= 180° - 135°
= 45°
Learn more about triangles on:
https://brainly.com/question/17335144
Carlos vende vasos con 250 ml de limonada cada uno. si preparó 9 litros de limonada, ¿cuántos vasos de limonada puede servir?
Answers
En cada litro hay 4 vasos
9x4= 36
Consider the equation - 3x2 + 27x - 63 = 0.
What is the discriminant of the equation?
Answers
Answer:
answer is 19/9.
Step-by-step explanation:
give me brielient.
please show all work!! this is algebra.
Answers
3x+2y=19
Caryl:
2x+4y=24
now use elimination
-2(3x+2y=19)
1(2x+4y=24)
=
-6x-4y=-38
2x+4y=24
add them together
which equals -4x=-14
divide both sides by -4
-4x/-4=-14/-4
x=7/2
we found x, so we subsitute it into the the original equation
3x+2y=19
3(7/2)2y=19
2y+21/2=19
-21/2 -21/2
2y=17/2
divide by 2 on both sides
2y/2= 17/2/2
y=17/4
so x= 7/2 and y= 17/4
What is the perimeter of this garden?
A:94 ft
B 100ft
C 76ft
D 600ft
Answers
Answer:
A
Step-by-step explanation:
Hope this helped
PLEASE HELP!!! will give brainlisest
Answers
Answer:
[tex]\sf \dfrac{x}{8}-22[/tex]
Explanation:
[tex]\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)[/tex]
remove parenthesis
[tex]\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18[/tex]
expand
[tex]\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22[/tex]
simplify
[tex]\rightarrow \sf \dfrac{x}{8}-22[/tex]
Answer:
[tex]\frac18x-22[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac78x-4)-3(\frac14x+6)[/tex]
Expand:
[tex]\implies \frac78x-4-\frac34x-18[/tex]
Gather like terms:
[tex]\implies \frac78x-\frac34x-4-18[/tex]
Change 3/4 into eighths:
[tex]\implies \frac78x-\frac68x-4-18[/tex]
Combine like terms:
[tex]\implies \frac18x-22[/tex]
Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.
On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 2, negative 1), and goes through (negative 1, 0). A vertical dashed line at (negative 2, 0) is parallel to the y-axis.
Which best describes the error in the graph?
The axis of symmetry should be x = –1.
The axis of symmetry should be x = 2.
The vertex should be a maximum.
The vertex should be (–2, 1).
Answers
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation:
I got it right on Edge.
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation it took the test
Use the distributive property to write the following expression in expanded form.
5(7h + 3m)
Answers
==============================================================
The distributive property states that:-
[tex]\bigstar{\underline{\boxed{\pmb{a(b+c)=ab+ac}}}[/tex]
Simplify:-
[tex]\bigstar{\boxed{\pmb{5(7h+3m)}}}[/tex]
[tex]\longmapsto\sf{(5~times~7h)+)5*3m)[/tex]
[tex]\longmapsto\sf{35h*15m}[/tex]
===============================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
how many different 3 digit numbers can be formed using the digits 9,3,4,7 and 6? assume no number can be used more than once
Answers
Answer:
57
Step-by-step explanation:
976/974/973/967/964/963/947/946/943/937/936/934/796/794/793/769/764/763/749/746/743/739/736/734/697/694/693/679/674/673/649/647/643/639/637/634/497/496/493/479/476/473/439/437/436/397/396/394/379/376/374/369/367/364/349/347/346
Evaluate the expression when b=16 and c=9.
c? +3(6-c)?
Answers
Answer:
0
Step-by-step explanation:
Since B = 16 and C = 9 we can plug into the equation.
(9) + 3 (6 - 9)
Since order of operations we subtract 9 from 6
6 - 9 = -3
Now we do -3 x 3 = -9
Now add -9 to 9
-9 + 9 = 0
Answer:
Step-by-step explanation:
3(6 - 9)
3(-3)= -9
9 + (-9) = 0
Evaluate the expression 2bc for b = 1.5 and c = 5.
Answers
Answer:
15
Step-by-step explanation:
To answer this, simply input your values into the equation:
Since b is given as 1.5, and c is given as 5, you put it into the calculation 2bc
so, you would do 2x1.5x5
which is equal to 15
Answer: 15
Step-by-step explanation: Multiply it. You have 2bc, b=1.5, c=5 plug those values into 2bc. You should get 2(1.5)(5) and that'll be 15.
Which expression is equivalent to cosine (startfraction pi over 2 endfraction r) for all values of r?
Answers
The trigonometric expression cos (π/2 + r) is equivalent to the negative of sin r. Then the correct option is C.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The trigonometric expression is given below.
[tex]\cos (\dfrac{\pi}{2} + r)[/tex]
We know that the formula
[tex]\cos (\dfrac{\pi}{2} + r) = -\sin r[/tex]
Thus, the cos (π/2 + r) is equivalent to the negative of sin r.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Answer:
C?
Step-by-step explanation:
, someone confirm
On Thursday, Tyler's math teacher helped her write the expression t = -2(3 + h) to represent the temperature change for that day. Circle all of the expressions below that are equivalent to t = -2(3 + h).
a. t = 6 - 2h
b. t = 4h-6h - 6
c. t = -2h - 6
d. t = h(3.5 – 5.5) + (-6)
Answers
Answer:
-2 * 3 = -6
-2 * h = -2 h
C) is equivalent to this result
Which is a way to borrow money from a bank financial institution to pay for a car?
Answers
Hey there!
The Best Ways to Borrow Money
Banks.
Credit Unions.
Peer-to-Peer Lending (P2P)
401(k) Plans.
Credit Cards.
Margin Accounts.
Public Agencies.
Financing Companies..
Answer:
There are many options like Banks, Credit Unions, Peer-to-Peer Lending (P2P), 401(k) Plans, Credit Cards, Margin Accounts, and Public Agencies.
Evaluate the expression if r = 1/6 r times r and then you multiply the answer by 3
Answers
Answer:
r = ⅙
⅙ × ⅙ = 0.03
0.03 × 3 = 0.09
what are the names of transversal lines?
Ty po in advance♡︎
REPORT:
NON SENSE ANSWER
NAGHAHAKOT NG PTS
BRAINLIEST:
RIGHT ANSWER
Answers
A transversal line is a line that crosses through two lines on the same plane.
Example:
I attached a photo below showing the Transversal line (the line in red) crossing two lines located on the same plane. Note: The Transversal line is only the red line, not the whole diagram below.
I am open to corrections if I unintentionally added false information :).
#learnwithbrainly