Answer:
[tex]\cos(63^\circ)[/tex] is the same as [tex]\sin(27^\circ)[/tex] by co-function identities
Step-by-step explanation:
Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.
Also recall the co-function identities:
sin (90° – x) = cos xcos (90° – x) = sin xThis means that [tex]\cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454[/tex].
Which is true for
the vertex?
A. A vertex is any angle.
B. A vertex is the end point of a single line segment.
C. A vertex is a point that describes the corner or
intersection of an angle.
Answer:
C.
Step-by-step explanation:
It is the corner or a point where line segments meet.
Hi!
Your answer is C.
The vertex is the point where two different rays meet, forming an angle.
It can also simply be the point where 2 straight lines simply meet.
Option A is NOT correct because a vertex is not angle, it is a part of an angle.
Option B is NOT correct because, if there's only one segment, we cannot form a vertex.
See the image below for an example:
2. Find the sum of the geometric series.
Answer:
324
Step-by-step explanation:
** The attachment shows an arithmetic sequence **
Sum of Arithmetic Series formula
[tex]S_n=\dfrac12n(a+l)[/tex]
where:
a = initial terml = last term[tex]a_n=2n-1[/tex]
[tex]\implies a_1=2(1)-1=1[/tex]
[tex]\implies a_{18}=2(18)-1=35[/tex]
[tex]\implies S_{18}=\dfrac12(18)(1+35)=324[/tex]
[tex]\\ \rm\Rrightarrow \sum^{18}_{n=1}2n-1[/tex]
[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(18)-1[/tex]
a=2-1=1a_18=l=36-1=35So
[tex]\\ \rm\Rrightarrow S_n=\dfrac{n(a+l)}{2}[/tex]
[tex]\\ \rm\Rrightarrow S_n=\dfrac{18(1+35)}{2}=9(36)=324[/tex]
What is plancks constant?what is it used for and where is it used?
The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h).
What is Plancks constant?Planck's constant is the elementary quantum of action. Its unit is the metre-kilogram-second or Joule second. It is denoted by h and has a value of 6.62607015 × 10⁻³⁴ joule second.
The photon's energy (E) is equal to its frequency (f) multiplied by the Planck constant (h). It is given by:
E = hf
Find out more Plancks constant at: https://brainly.com/question/27163891
#SPJ1
Answer:
Planck's constant is used to relate the energy in one quantum of electromagnetic radiation to the frequency of that radiation.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
put these numbers in order least to greatest 1 1/3, -5/6, 0, -2/3, -1
Answer:
-1, -5/6, -2/3, 0, 1 1/3
Step-by-step explanation:
Answer:
-1, -5/6, -2/3, 0, 1 1/3.
Step-by-step explanation:
1 1/3, -5/6, 0, -2/3, -1
The easiest way is to convert them to decimal fractions first:
= 1.333.... , - 0.8333... , 0, -0.666.... , - 1
So in ascending order they are
-1, -0.833.., -0.666... , 0 , 1.333.....
= -1, -5/6, -2/3, 0, 1 1/3.
There are 500 sheets of paper in one ream. The counter on a copier says that 23,500 copies have been made. How many reams of paper were used?
Answer: 47 ream papers were used.
Step-by-step explanation:
23,500 divided by 5000 = 47
Hope it helps!
What’s ur opinion on that manga rate it out of 10
14. Which of the following values could be the y-coordinate of the point (10,-)
that is 13 units from (10,6)?
A. 17
B. 3
C. - 1
D. -7
Answer:
D
Step-by-step explanation:
write an approximate equation of the line of best fit, then predict the average temperature.
Answer:
[tex]\textsf{\sf(a)} \quad y=-\dfrac54x+\dfrac{205}{2}[/tex]
(b) $46.25
Step-by-step explanation:
When adding a line of best fit, ensure that the number of points above and below the line is about equal.
See attachment for line of best fit.
Part (a)From inspection of the graph, two points on the line are (10, 90) and (50, 40). Therefore,
[tex]\textsf{let}\:(x_1,y_1)=(10,90)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(50,40)[/tex]
Calculating the slope of the line:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{40-90}{50-10}=-\dfrac54[/tex]
Using the point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies y-90=-\dfrac54(x-10)[/tex]
[tex]\implies y-90=-\dfrac54x+\dfrac{25}{2}[/tex]
[tex]\implies y=-\dfrac54x+\dfrac{205}{2}[/tex]
(where x is the average monthly temperature in °F and y is the monthly heating costs in dollars)
Part (b)Substitute x = 45 into the equation found in part (a):
[tex]\implies -\dfrac54(45)+\dfrac{205}{2}=46.25[/tex]
Therefore, the monthly heating cost for a month with an average temperature of 45 °F is approximately $46.25
I cant solve this please help
Answer:
Z = 63º
Step-by-step explanation:
X = 180 - 61 - 31 = 88º Angles in a triangle add to 180º
Y = 180 - X = 180 - 88 = 92º Angles in a straight line add to 180º
Z = 180 - 25 - Y = 180 - 25 - 92 = 63º Angles in a triangle add to 180º
So Z = 63º
Find the sum of 6x^2+10x-16x 2 +10x−1 and -5x^2-2x+1−5x^2 −2x+1.
Answer:
-21x² + 8x + 2
Step-by-step explanation:
Addition of two polynomials:
Like terms have same variable with same power. Combine like terms.
(-16x² & -5x² are like terms ; 10x and (-2x) are like terms ; (1 and 1 are constants)
-16x² + 10x + 1 + (-5x² - 2x + 1) = -16x² + 10x + 1 -5x² - 2x + 1
= -16x² - 5x² + 10x - 2x + 1 + 1
= -21x² + 8x + 2
[tex](6x^2+10x-1) +(-5x^2-2x+1)\\\\=6x^2+10x-1-5x^2-2x+1\\\\=x^2+8x[/tex]
Earthquakes are measured by the Richter scale and demonstrated by the formula R = log(A) where A measures the amplitude of the earthquake wave and A, is the amplitude of the smallest detectable wave (or standard wave). An earthquake is measured with a wave amplitude 1800 times as great as a standard wave. What is the magnitude of this earthquake using the Richter scale? Round to the nearest tenth.
Answer:
3.22
Step-by-step explanation:
log(18×100)
log18+log100
1.22+2
3.22
The magnitude of this earthquake using the Richter scale is approximately 3.3 (rounded to the nearest tenth).
How to determine the magnitude of the earthquakeTo calculate the magnitude of the earthquake using the Richter scale, we can use the formula
R = log(A/A₀),
where
A is the amplitude of the earthquake wave, and
A₀ is the amplitude of the standard wave.
If the earthquake wave's amplitude is 1800 times as great as the smallest detectable wave, this means A/A₀ = 1800.
Therefore, the magnitude of the earthquake (R) would be:
R = log(1800)
Let's calculate it:
R ≈ log₁₀(1800) ≈ 3.255
So, if we round this to the nearest tenth, the earthquake's magnitude on the Richter scale would be approximately 3.3.
Learn more about earthquake magnitude calculation
https://brainly.com/question/31015023
#SPJ3
need some help with this question in the image
Cheers
Step-by-step explanation:
a) 24.7×52.3=1291.81
On rounding off to 3 significant digits we get
1290
b)
[tex] \sqrt{ {42}^{2} - {28}^{2} } [/tex]
[tex] \sqrt{1764 -784 } = \sqrt{980} [/tex]
=31.304951
On rounding off to 5 significant figures we get
=31.305
c)
[tex] \sqrt[3]{78} = 4.27265[/tex]
On rounding off to 2 significant figures we get
=4.3
Hence required answers
a)1290
b)31.305
c)4.3
I hope it helped you
Jamar just got hired for a new job and will make $48,000 in his first year. Jamar was told that he can expect to get raises of $3,500 every year going forward. How much money in salary would Jamar make in his 18th year working at this job?
Answer:
111000
Step-by-step explanation:
3,500
x 18
63000
+ 48000
111000
Can anyone solve this correctly?
Answer:
J. x = 1
Step-by-step explanation:
Write an equation based on the image of the scales.
3x + 6 = 9
Subtract 6.
3x = 3
Divide by 3.
x = 1
If you haven't learned to solve equations yet, the same thought process can be used with the scale image. The scales are balanced. To keep them balanced, remove 6 of the pieces marked "1" from BOTH sides of the scale. Then the scale will have three x's on one side and three "1"'s on the other side. So each x has to be one "1".
Which algebraic expressions are binomials? Check all that apply
Answer:
Of the ones listed, in the way they are written, the answers are x²y – 3x and 6y² – y.
Explanation:
A monomial is a constant, a variable, or the product of constants and variables. A binomial is the sum or difference of two monomials.
The first option, xy, is a monomial. There is only one, so it is not a binomial.
The second one, x²y-3x, is the difference of two monomials; this means it is a binomial.
The third one, 6y²-y, is the difference of two monomials; this means it is a binomial.
The last one, y²+4xy-x², is the sum and/or difference of at least three monomials (there is a plus at the end that makes me think there is more to it). This means it is a trinomial, not a binomial.
Answer: B, C, and E.
Step-by-step explanation:
Since all three show the characteristics found in a binomial then these three are your answers. Plus I just did it on Edge.
:)
Phoebe works for a company that advertised an annual increase
of 5% to an employee's hourly pay. When Phoebe went to sign
her contract with the company, she noticed that her boss had
indicated that she would receive an annual increase of
$0.75 per hour. please help its for a test
Based on the annual percentage increase and the actual amount, the wage rate per hour at Phoebe's job is $15 per hour.
What is Phoebe paid per hour?The company gives an increase of 5% on the hourly wage per hour and this amount comes out to be $0.75.
The wage rate per hour is therefore:
= Actual increase amount / Percentage increase
Solving gives:
= 0.75 / 5%
= $15 per hour
Find out more on wages per hour at https://brainly.com/question/25863464.
What is the answer to 108cm2= x^(x-3)
Answer: 22.5 and -19.5
Step-by-step explanation:
What is the radius of a sphere with a volume of 320 ft^3 , to the nearest tenth of a foot
Answer:
The answer is
→ Radius ≈ 4.24ft
Step-by-step explanation:
Given: 320ft³
Solve:Were going to use this formula:
[tex]V = \frac{4}{3} \pi r^3[/tex]
Step 1: Solve for r.
[tex]r = (3 \frac{V}{4\pi } ) ^\frac{1}{3} = (3 * \frac{320}{4*\pi } )^\frac{1}{3}[/tex] ≈ [tex]4.24314ft[/tex]Step 2: Round up 4.24314
4.24314 → 4.24
Hence, 4.24ft is your answer.
- ✨7272033Alt✨Help!&:&&/‘snsksnjsa
Answer:
17
Step-by-step explanation:
Order the numbers from least to greatest and find the number i n the middle
Answer:
17
Step-by-step explanation:
organize by least to greatest and mark off from each side until you reach the middle. Easy way to remember is that medium is the middle.
Saniya has 5 2/3 of fabric one fourth of fabric is green and 1/3 of remaining fabric is white how many feet of green fabric does she have how many feet of white fabric does she have
Help Meeee Please. I don’t understand
What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
O 2 and -2.5
O 2 and 2.5
О 1 and -5
0 1 and 5
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Which equation represents a line which is parallel to the line x-
8y = 48?
Answer:
y = 1/8x
Step-by-step explanation:
REMEBER: When the slopes are two lines are equal, they're parallel.Given Equation:
x - 8y = 48 ---> This equation is in standard form.⇒ -8y = -1x + 48
⇒ y = 1/8x + 6
As a result, the equation of the parallal line to the given equation x - 8y = 48 is:
⇒ y = 1/8x
Marisa has 26 pokémon cards. Marisa claims that she will have 146 or more pokémon cards after she receives her shipment of 8 packs of cards. How many cards must be in each pack so that Marissa’s statement is true?
Answer:
26 + 8x.x = 15.Step-by-step explanation:
Marise has 26 pokemon cards. Marisa claims that he will have 146 or more cards after she receives her shipment of 8 packs of cards.
So, we have to make a unknown value on 8.
8x.Now, we have to find out that unknown value:
26 + 8x= 26 + 8(15)= 26 + 120= 146.x = 15.There will be 15 cards in Marisa's 8 boxes.
anybody help me
explain how to do it if ya can
Answer:
If the left side of the big rectangle is 2m then the right side should be the same. We have 4m
If the bottom of the big rectangle is 9 then the top should also be 9. We now have 22m.
-----------------------------------------------------------------------------------------------------------
SMALL RECTANGLEThe left side of the small rectangle is 2m then so should the right be also 2m. We have 4m.
The top is 3m so the bottom should also be 3m we now have 10m
----------------------------------------------------------------------------------------------------------
ANSWERIf you add 10 + 22 you get 32. 32 is your answer :)
Step-by-step explanation:
Neil and his mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits with food and water. Neil puts 3 water bottles into each kit they pack. In all, he packs 150 water bottles. Which equation can you use to find the number of emergency kits k Neil packs?
The number of emergency kits that Neil packed in total for the 150 bottles is gotten as; k = 50 kits.
How to create equations?We are told that Neil puts 3 water bottles into each emergency kit packed.
Now, let the number of emergency kits be k.
Thus;
3k = 150
Division property of equality, we have;
3k/3 = 150/3
k = 50
Thus, the number of emergency kits that Neil packed is gotten as k = 50 kits.
Read more about Equalities at; https://brainly.com/question/25275758
#SPJ1
Brian can't decide which of three shirts he should wear to a party he could closes eyes and randomly pick a shirt or he could put the three shirts in a bag and then remove one either way the selection is not random Brian may end up making a biased choice in this activity you will find the probability of event using a simulation. Can you use playing cards to simulate the situation? explain
Answer:
Do know sorry I can help but maby
52.6 X 8.2 i need help on mulitiplying decimals again need it step by step
Answer:
431.32
Step-by-step explanation:
It is just like multiplying.
431.32
X 8.2
And you solve it.
Hooped this helped you
Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar. A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles. If 5 tiles are picked randomly, the probability that 3 are consonants and 2 are vowels is .
Answer:
its the only way to get the monkey out of the cage
Step-by-step explanation:
u gave to free the monkes
Write the number below as a fraction in its simplest form
0.
˙
8
Answer:
4/5
Step-by-step explanation:
0.8 = 8 / 10 = 4/5