[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sin(x) = \sqrt{2} \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
1ST TO ANSWER GETS BRAINLIEST
What is the total area of the patio, walkway, and garden?
Answer:
82 ft²
Step-by-step explanation:
Find the volume of the triangular prism? (PLEASE HELP ILL MARK BRAINLIEST)
Answer:
▲ Base and height. This is the basic volume equation of a triangular prism: Volume = 0.5 * Base * Height * Length. ...
◣ Right triangle. Probably the most popular type of prism! ...
▲ 3 sides. Volume = 0.25 * √( (a+b+c) * (-a+b+c) * (a-b+c) * (a+b-c) ) * Length.
Step-by-step explanation:
If ((x) = x2+ 3x - 2, find f(-2).
f(x) = x² + 3x - 2
f(-2) = (-2)² + 3*(2) - 2 = 4 - 6 - 2 = - 4
where does leprechaun come from
Answer:
A leprechaun (Irish: leipreachán/luchorpán) is a diminutive supernatural being in Irish folklore, classed by some as a type of solitary fairy. They are usually depicted as little bearded men, wearing a coat and hat, who partake in mischief. In later times, they have been depicted as shoe-makers who have a hidden pot of gold at the end of the rainbow.
Answer:
Step-by-step explanation:
The square root of the cube of 4 is equal to
3 or 4 or 16 or 8 or 2
Answer:
Step-by-step explanation: 1.587401052
Answer:
8
Step-by-step explanation:
this means
[tex] \sqrt{ {4}^{3} } [/tex]
4³ = 4×4×4 = 64
the square root of 64 is 8.
Find the difference of 7 2/3 and 6 3/7
Answer:
Fraction answer (about):
1 1/4
Decimal answer (about):
1.24
Step-by-step explanation:
7 2/3 - 6 3/7 =
1.2380952381
1.2380952381 = about 1.24
The difference between 7 2/3 and 6 3/7 = 1.24
1.24 in fraction form is about 1 1/4
Have a great rest of your day
#TheWizzer
Answer:26/21
Step-by-step explanation:
Simplify cos^4x+(2cos^2x)(sin^2x)+sin^4x
Answer:
cos4(x)+2cos2(x)sin2(x)+sin4(x)
Step-by-step explanation:
Help help help please please
Answer:
The answer would be A.
Step-by-step explanation:
The answer would be A because the line is going down in question B, meaning that it would be a negative slope so that would not be correct. X=1x meaning that the line goes up one and goes right one block.Both of the slopes have the same y-interceptThe less than or equal sign (< with a line) is pointing away from y, meaning y is less than or equal to x+5. This doesn't matter in this graph in particular though because the inequality sign used for both graphs are the same here.A laptop computer is purchased $1500. After each year , the resale value decreases by 25%. What will the resale value be after 5 years ? Round to the nearest dollar
Which expression represents the product of b and 18?
A. 18(b-18)
B. 18+b
C. 18/b
D. 18b
Answer:
You're answer is D.18b
Hey there!
The product of a number and 18 means you multiply that number times 18; the result is called the product.
When we multiply a number times a variable, we always write the number before the variable.
For example, we multiply 4 times d, and the result is 4d.
Let's check the options and see if we can spot something like "5a"
The first option: we multiply 18 times the difference of b and 18.
The second option: we add 18 and b
The third option: we divide 18 by b
The fourth option: we multiply 18 times b (That's the right option! We did it :)
Hence, the answer is
[tex]\boxed{\boxed{\bold{18b}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
SU is a midsegment of AQRT.
If OR = z-40 and SU = z - 49, what is the value of z?
I just need one example to understand this because forgot how to do it
Answer:
z = 58
Step-by-step explanation:
Since SU is a midsegment of QRT, the length of SU is one-half the length of RQ.
[tex] \frac{1}{2} (z - 40) = z - 49[/tex]
[tex]z - 40 = 2z - 98[/tex]
[tex]z = 58[/tex]
A chemist has one solution that is 20% alcohol and another that is 60% alcohol.
How much of each solution must the chemist use to get 200 mL of a solution that is 52%
alcohol?
Answer:
solution 1= 40ml
solution 2= 160ml
Step-by-step explanation:
%alcohol= amount of alcohol/total solutionx100
0.52x200=104ml of alcohol present
0.2x L=0.2Lml of alcohol in solution one
0.6 x M=0.6Mml of alcohol in solution two
1st equation
0.2L+0.6M=104ml alcohol
times 10 to get whole
2L+6M=1040ml
2nd
same for this equation
10L+10M=2000ml
10L+10M=2000
2L+6M=1040
elimination method
=20L+20M=4000
-
=20L+60M=10400
-40M=-6400
M=160ml
2L+6 (160)=1040
2L=1040-960
2L=80
L=40ml
Which of the following equations has no solution?
1: 3x=5
2: 5x+7=3
3: 4x=9x
4: x=x−2
Answer:
4
Step-by-step explanation:
3x = 5:
x = 1 ⅔
5x + 7 = 3
5x = 3- 7
5x = -4
x = -⅘
4x = 9x
9x - 4x = 0
5x = 0
x = 0 / 5
x = 0
x = x - 2:
x -x = -2
0 = -2?
Answer:
4
Step-by-step explanation:
Its because x=x-2 =-2 subtract x from both sides and you get 0 so theres no solution and you get -2
PLEASE HELP ILL GIVE EXTRA POINTS FOR ANSWER ⭐️⭐️⭐️‼️‼️
Answer:
d
Step-by-step explanation:
area=length ×width
156=13×w
w=156/13=?
P=2(l+w)
P=2(13+w)
Shares of company A are sold at $10 per share. Shares of company B are sold at $50 per share. According to a market analyst, 1 share of each company can either gain $1, with probability 0.5, or lose $1, with probability 0.5, independently of the other company. Which of the following portfolios has the lowest risk? a. 100 Shares of A
b. 50 shares of A + 10 shares of B
c. 40 shares of A + 12 shares of B
Answer:
b.
Step-by-step explanation: its 50 shares the to straiges you should use is multiplying or adding i used both bt its b.
Please Help ASAP (show work if you want its not needed i just need the answer)
[tex] \cos(60) = \frac{12}{x} \\ [/tex]
[tex] \frac{1}{2} = \frac{12}{x} \\ [/tex]
[tex]x = 24[/tex]
_____________________________________________
[tex] \sin(60) = \frac{y}{x} \\ [/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{y}{24} \\ [/tex]
[tex]y = 12 \sqrt{3} [/tex]
What part of the expression below should be calculated first 8 x {22 x [15 + (14 x 2)]} A 8+22. B 22×15. C 14x2. D 15+14.
Answer:
14*2
Step-by-step explanation:
8 x {22 x [15 + (14 x 2)]}
With multiple parentheses work from the inside out
The inner most parentheses are
14*2
Find the product. Simplify your answer.
(2w–1)(4w–2)
Answer:
8w² -8w +2
Step-by-step explanation:
(2w-1)(4w-2)
= 8w² -4w -4w + 2
= 8w² -8w +2
Billy had 55 stamps in his collection. Billy’s older brother Tommy had 73 stamps in his collection. How many stamps did the two brothers have together?
Answer:
128
Step-by-step explanation:
Billy has 55 stamps and his brother Tommy has 73. Add 73 and 55 together. 55+73=128
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting
two prime numbers?
Answer: 1/6
Step-by-step explanation: There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.
how many terms of the geometric progression 6,12,24,......must be taken to get a sum of 49146
Answer:
13
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
here a = 6 , r = [tex]\frac{12}{6}[/tex] = 2 and [tex]S_{n}[/tex] = 49146 , then
[tex]\frac{6(2^{n}-1) }{2-1}[/tex] = 49146
6([tex]2^{n}[/tex] - 1) = 49146 ( divide both sides by 6 )
[tex]2^{n}[/tex] - 1 = 8191 ( add 1 to both sides )
[tex]2^{n}[/tex] = 8192 ( take log of both sides )
log [tex]2^{n}[/tex] = log 8192 , that is
n log 2 = log 8192 ( divide both sides by log 2 )
n = [tex]\frac{log8192}{log2}[/tex] = 13
[tex]\red{ \underline { \boxed{ \sf{Common \: Ratio,r = \frac{any\:observed\:term}{previous\:term}}}}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf Common \: Ratio,r = \frac{12}{6} [/tex]
[tex]\quad \boxed{\sf {Common \:Ratio,r = 2 }}[/tex]
Now,
[tex]\green{ \underline { \boxed{ \sf{Sum\: of \: G.P. \: to\: n\:term,S_n = \frac{a(r^n-1)}{r-1}}}}}[/tex]
where
a = first termr = common Ration= number of termsPutting Values -
[tex]\begin{gathered}\\\implies\quad \sf 49146 = \frac{6(2^n-1)}{2-1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{49146}}{\cancel{6}} = \frac{2^n-1}{1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 8191= \frac{2^n-1}{1} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n-1 =8191 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =8191+1 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =8192 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2^n =2^{13}\quad(8192= 2^{13}) \\\end{gathered} [/tex]
Comparing powers on both sides-
[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ n = 13}}\\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Therefore, to get a sum of 49146 , 13 terms of this G.P. should be taken.
Three and one fifth of 1 1/2 is what number?
Answer:
3 1/5 = 16 / 5
1 1/2 = 3 / 2
16 / 5 * 3 / 2 = 48 / 10 = 24 / 5
The correct answer is 24 / 5 = 4 4 /5
(You can check on your calculator)
What is the slope of the line with equation y-3=-1/2 (x-2)?
Hello!
This equation is written in Point-Slope Form (y-y₁=m(x-x₁)
Where
y₁=y-coordinate of the point
m=slope
x₁=x-coordinate of the point
In this case, the slope is
[tex]\boxed{\boxed{\bold{\frac{1}{2}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Answer:
C) 1/2
Step-by-step explanation:
woof woof
Using the digits 2, 4, and 6, write a number with a 4 in
the hundred thousands place and a 2 in the hundreds
place.
Answer:
624
Step-by-step explanation:
A company promises to release a new smartphone model every month. Each model's battery life will be 5% longer than the previous model's. If the current model's battery life is 663.0 minutes, what will the latest model's battery life be 7 months from now?
Answer:
895.05
Step-by-step explanation:
5% of 663 is 33.15, so times 33.15 by the 7 months and the answer to that is 232.05 then add that to the current battier life.
The answer is 895.05
Pls show work thank you!!!
[tex]|-16-x|=0\\\\\implies -16-x = 0\\\\\implies x = -16[/tex]
MATH Arithmetic QUESTION
Answer:
Point A
Step-by-step explanation:
It can be seen from the image that the chosen value for N is greater than zero but less than 1, i.e,
[tex]0 < n < 1[/tex]
The square of such numbers will always result values less than N since they're decimals with zeroes on the whole number parts.
Hence, the value for N squared will be in the region of Point A.
Help me please For your points! Thanks
Answer:
Step-by-step explanation:
you will read the directions 2x before solving the problem then solve the problem
Find the equation of the line that passes through points a and B. A(1 ,7) B(-3,-1)
Answer:
well i wrote it in paper nothing to explain it's ez
. There is 40% decresed in price on a sale. It is futher decresed by 5% find the total decreased percentage
Let x be the original price of the object.
After the 40% discount, the price of the object now becomes;
x-0.4x=0.6x
0.6x is our new price after the first discount.
Now if we want to find the price after the second discount, (5%)
That would come off to be;
0.6x-0.6(0.05)x=0.6x-0.03x=0.57x
Our last price is 0.57x
If you notice, there was a 43% discount in total, as it goes to 57% of its original price.
This is very non intuitive for some people, as they may think there will be a 45% discount.