Answer:
[tex]\displaystyle \cos(2x)=-\frac{7}{25}[/tex]
Step-by-step explanation:
We want to find:
[tex]\displaystyle \cos(2x)\text{ given that }\sin(x)=-\frac{4}{5}[/tex]
And x is in QIII.
Recall that sine is the ratio of the opposite side to the hypotenuse.
Therefore, the adjacent side is (we can ignore the negative for now).
[tex]a=\sqrt{5^2-4^2}=\sqrt{25-16}=\sqrt{9}=3[/tex]
So, the adjacent side is 3, the opposite side is 4, and the hypotenuse is 5.
Using the double angle identity, we can rewrite:
[tex]\cos(2x)=\cos^2(x)-\sin^2(x)[/tex]
Since x is in QIII, cosine is positive, sine is negative, and tangent is negative.
Using the above values, we can conclude that:
[tex]\displaystyle \cos(x)=\frac{3}{5}\text{ and } \sin(x)=-\frac{4}{5}[/tex]
Substitute:
[tex]\displaystyle \cos(2x)=\Big(\frac{3}{5}\Big)^2-\Big(-\frac{4}{5}\Big)^2[/tex]
Evaluate:
[tex]\displaystyle \cos(2x)=\frac{9}{25}-\frac{16}{25}=-\frac{7}{25}[/tex]
Identify the slope and y intercept (m= and b= ) y=-4xt6;
Answer:
y=b slope= 4/1
Step-by-step explanation:
Answer:
m=-4, b=6
Step-by-step explanation:
y=-4x+6
y=mx+b where m=slope and b=y-intercept
PLEASE PLEASE HELP. I’ve wasted so many points on this problem :(
Answer:
13 cm
Step-by-step explanation:
A^2+12^2=15^2
A^2+144=225
A^2=81
A=9
9x2=18
31-18=13 cm
Find the perimeter of a rectangle whose width is 3 cm and whose diagonal is 3 √5 cm long.
A^2+3^2=3√5^2
A^2+9=45
A^2=36
A=6
3+3+6+6=18 cm
help me I just need this please
Answer:
160:140
Step-by-step explanation:
8+7 = 15
60000/15 = 4000
4000/200=20
therfore the dimensions are 20 times the amount
8x 20 = 160
7x 20 = 140
I'll give brainliest
Answer:
its 2/3
my bad
What is the equation of the line in y=mx+b format?
Graph the following word problem and then write an equation: Jamal started with $4 in his savings and makes an additional $3 per week.
Answer:
use desmos
Step-by-step explanation:
put y=3x+4 and make a graph from that its really helpful trust me
EVERYONE PLZ PLZ PLZ ANSWER THIS QUESTION
Answer:
the answer is definitely c
Answer:
C
Step-by-step explanation:
Hope this helps! Have a nice day :D
-7x-2y = -13
x – 2y = 11
Can somebody plz help answer the rest of these questions correctly (only if u done this before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :SD
Answer:
9. 16.34
10. 51.84
11. 20.11
12. 76.03
13. 64.09
just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)
Which statement best uses this information to explain why the AA criterion can be used to prove ABC~DBE
Answer:b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
A pallet weighs 475 pounds when it has 25 cases of soda on it.
Each case of soda weighs 19 pounds.
Write a linear equation in point-slope form that will give the weight in pounds, y, for
any number of cases of soda, x.
Answer:
y=25x+19
Step-by-step explanation:
you take the number of cases and add 19 to it then you have your y-intercept making your answer y=25x+19
Answer:
y – 475 = 19 (x – 25)
Step-by-step explanation:
How do you do 5a) and 5b)????? Please help!!!!
Answer:
[tex]21.0 { { {1221220 = 223jn}^{n \: \: \: \: \: \: \: \: \: \: \: \: \tan( \beta \beta \beta \beta \beta \beta \pi\pi) } }^{2} }^{2} \times \frac{?}{?} [/tex]
Answer:
31° F and 67° F
Step-by-step explanation:
(a)
When t = 0 then
f(0) = 31 + [tex]\frac{0}{100}[/tex] = 31 + 0 = 31° F
(b)
When t = 10 , then
f(10) = 31 + [tex]\frac{40(10^3)}{10^3+100}[/tex] = 31 + [tex]\frac{40000}{1100}[/tex] = 31 + 36.36... ≈ 67° F
So, I think the Knave of Spades is telling the truth because he wasn't accused of anything but im not sure. Brainliest goes to whoever answers the question properly :>
Answer:
B
Step-by-step explanation:
It all starts whether the Knave of Hearts tells the truth or not. You can decide yourself.
Hearts: H
Clubs: C
Diamonds: D
Spades: S
If H lies, C tells the truth, therefor D lies. So S tells the truth
If H tells the truth, C lies. Therefore D tells the truth and S lies
Answer:
2
Step-by-step explanation:
If the knave of hearts did steal the tarts, then the knave of clubs is lying saying that the knave of hearts is lying which mean the knave of diamonds is actually telling the truth when the knave of clubs said the knave of diamonds is lying they are therefore lying.
So in the question may be knave of hearts and Knave of diamonds may be telling the truth OR knave of clubs and knave of spades are telling the truth.
In conclusion, Alice stole the tarts xoxo
please answer will give brainliest
Answer:
50 im sorry if im wrong
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
15 * 15 = 225
225 / 2 =
Za 30 dag żurawiny zapłacono 9,75zł. Oceń prawdziwość każdego zdania.
Step-by-step explanation:
Odpowiedź:
9.75zł :3 = 3.25zł
3.25zł x 4 = 13zł - Prawda
3.25zł x 10 = 32.50zł - Prawda
Liczę na najlepsze.
x/7 - 3 is greater than or less than 7
Answer:
less than
Step-by-step explanation:
pls mark brainliest
hope this helps
what is 4,390.44 + 8.399, and show work pls
Answer:
4,398.839
Step-by-step explanation:
4,390.440 + 8.399=x
.000+.009=.009
.04+.09=.13
.4+.3=.7
.009+.13+.7=0.839
---------------------------
4390+8=4398
----------------------------
4398+0.839=4398.839
how many yards
carpeting is needed to cover a 60 feet length room and 40 feet width
Answer:
[tex]266[/tex] [tex]\frac{2}{3}[/tex] [tex]yards[/tex]
Step-by-step explanation:
1. Approach
First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, [tex]3feet=1yard[/tex]. Next, find the area of the room by multiplying the length by the width.
2. Convert the unit of measurement
The measurement unit is given in feet, one must convert it into yards. The conversion rate between yards and feet is, [tex]3feet=1yard[/tex].
[tex]60feet=20yards\\\\40feet=13\frac{1}{3}yards[/tex]
3. Find the area of the room
Now multiply the length by the width to find the area of the room.
[tex]20yards*13\frac{1}{3}yrads\\\\= 20 * \frac{40}{3}\\\\=\frac{800}{3}\\\\= 266\frac{2}{3}_{.}yards^{2}[/tex]
Which is the right answer
Answer:
C
Step-by-step explanation:
10
Tara is playing a party game in which a tiny ball is
dropped into a rectangular box. To win the game, she
must guess where the ball will stop. What should she
guess to maximize her chances of winning?
scribes the likelihood of the ball
quare or rectangular shaped area?
square
circle
triangle
shaded area
4
Answer:
1. Shaded Area 2. UnlikelyStep-by-step explanation:
edge2021
I am stuck with the above question, please help
Answer:
D
Step-by-step explanation:
Two lines are parallel if they have the same slope.
the given equation is in the form
y=mx+b
where
m=-5/2
b=-7
m is the slope. You can see this by noting that if you increase x by 1 you increase y by m.
So, in this case, you are looking for a line with slope of -5/2.
You can solve each of the choice equations for y to see which one has the right slope.
A: y=(2/5)x-6 no good
B: y=-(2/5)x-1 no good
C: y=(5/2)x-4 no good
D: y=-(5/2)x-4 GOOD
Multiplying polynomials
Answer:
multiply each term in one polynomial by each term in the other polynomial. add those answers together, and simplify if needed.
Step-by-step explanation:
The circumference of a circle is the around it?
Answer:
Yes
Step-by-step explanation:
cube root(8+ 3 root 21)+ cube root (8-3 root 21)
plese give good answer with explanation or I will report
Answer:
[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex] = 1Step-by-step explanation:
Given[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex]To find The value of the expressionSolutionLet's rewrite the given as:
[tex]\sqrt[3]{3\sqrt{21} + 8} - \sqrt[3]{3\sqrt{21} - 8}[/tex]Let the value is m and the expressions under 3rd roots are a and b, then we have
a = 3√21 + 8, b = 3√21 - 8m = ∛a - ∛bCube the both sides:
m³ = (∛a - ∛b)³m³ = a - b - 3[tex]\sqrt[3]{a^2b}[/tex] + 3[tex]\sqrt[3]{ab^2}[/tex]Simplify in bits:
a - b = 3√21 + 8 - 3√21 + 8 = 16ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125∛ab = ∛125 = 5So the expression becomes:
m³ = 16 - 3[tex]\sqrt[3]{125a} + \sqrt[3]{125b}[/tex]m³ = 16 - 15∛a + 15∛bm³ = 16 - 15(∛a - ∛b)m³ = 16 - 15mSolve for m:
m³ + 15m - 16 = 0m³ - 1 + 15m - 15 = 0(m - 1)(m² + m + 1) + 15(m - 1) = 0(m - 1)(m² + m + 16) = 0m - 1 = 0, m² + m + 16 = 0m = 1 is the only real root, the quadratic equation has no real rootsThe answer is 1
is (0,-4)a solution ?
Please help :/ marked brainly
Answer:
Not enough informations
Answer:
no its -4
Step-by-step explanation:
2(8s+9)+–2(2s–3)?
answer
now
please
ill
give
branielest
if
correct
Answer:
[tex]12s+24[/tex]
Step-by-step explanation:
Distribute this and you get [tex]16s + 18 -4s + 6[/tex].
This simplifies to [tex]12s+24[/tex].
1. I have a tablespoon, but I need a teaspoon. What do I do?
2. I have a 2 cup measuring cup and need 1 1/4 cup mil and 1/2 cup of vegetable oil. How far do I fill it up if I’m measuring together?
I only need help with these two, my brain went completely blank while solving these.
Answer:
Step-by-step explanation:
1 tablespoon = 3 teaspoons
You need to fill the tablespoon a third full. Not accurate, but that's what you have to do.
:::::
1¼ + ½ = 1¾
you need to fill the 2 cup measuring cup ⅞ full to get 1¾ cups.
List all the 4-digit even numbers that can be created by rearranging these number tiles.
3
4
7
2
Answer:
3472
3274
3742
3724
7342
7324
7234
7432
4372
4732
2374
2734
i found this much
These are the 12 possible 4-digit even numbers that can be created by rearranging the number tiles (3, 4, 7, 2).
To create 4-digit even numbers by rearranging the given number tiles (3, 4, 7, 2), we need to consider the following conditions:
The last digit must be an even number (2 or 4).The thousand digits cannot be 0.Considering these conditions, the possible 4-digit even numbers that can be formed are:
2347
2374
3247
3274
3427
3472
4237
4273
4327
4372
4723
4732
These are the 12 possible 4-digit even numbers that can be created by rearranging the number tiles (3, 4, 7, 2).
Learn more about the even numbers here:
https://brainly.com/question/2142825
#SPJ4
look at this i think this boy likes me
Answer:
talk to him
Step-by-step explanation:
he def likes you lmazo
Need help will give you the brainliest
Answer:
The answer is 3v + 5w
Step-by-step explanation:
simple add how many v's there are which are 3 so its 3v and count how many w's there are which is 5 so 5w all together is 3v+ 5w
hope this helps!