Answer:
a= (π/4) + (kπ/2)
Step-by-step explanation:
I have attached the explanation above. hopefully this will help
9514 1404 393
Explanation:
This is an identity.
cos²(A) +cos²(A)cot²(A) = cot²(A)
Transforming the left side, we have ...
= cos²(A)(1 +cot²(A))
= cos²(A)csc²(A)
= (cos(A)/sin(A))²
= cot²(A)
Which arc is a minor arc?
A)SQ
B)PSR
C)PS
D)SO
Answer:
Answer: The arc PS would be a minor arc · Step-by-step explanation: As a minor arc is one that is less that 180 degrees, it would be the only viable ...
Marlena is one-sixth the age of her mom. If Marlena is 5 years old, how old is her mom?
Answer:
30 years old
Step-by-step explanation:
If marina is one sixth of her mom age, and she is five years old. The multiply five times size to get her moms full age.
Answer:
30 yearsStep-by-step explanation:
Let,
Age of her mom be = x
Age of Marlena
[tex] = \frac{1}{6} x[/tex]
We know that,
Age of Marlena is 5 years
Therefore,
By the problem,
[tex] = > \frac{1}{6} x = 5[/tex]
=> x = 5 × 6
=> x = 30
Hence,
Age of her mother is 30 years (Ans)
Circumference of a circle with a diameter of 15 inches.
Answer:
Cir = d[tex]\pi[/tex]
C = 15[tex]\pi[/tex]
Step-by-step explanation:
Answer:
Exact Answer: 15π inches
Decimal Answer: 47.1 inches
Step-by-step explanation:
The unit is inches because circumference is one dimension.
1.) Circumference Formula: 2πr or dπ⇒d=diamater ⇒r=radius
2.) dπ=15π
3.) 15 × 3.14⇒approximate answer
solve the following simultaneous linear equations by the elimination method.
2p - 3q = 13
p - 3q = 2
Answer:
p = 11 q = 3
Step-by-step explanation:
2p - 3q = 13
- p - 3q = 2
p = 11
p - 3q = 2
(11) - 3q = 2
-3q = -9
q = 3
Answer:
p=11 q=3
Step-by-step explanation:
subtract second from first
2p-3q=13
-p+3q=-2
p=11
plug in
11-3q=2
-3q=-9
q=3
Help with 12 please
12.
[tex]we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{26 + 22 + 32 + 28 + 35 + x}{6} = 30 \\ = > \frac{143 + x}{6} = 30 \\ = > 143 + x = 30 \times 6 \\ = > 143 + x = 180 \\ = > x = 180 - 143 \\ = > x = 37 \\ [/tex]
This is the answer.
Hope it helps!!
PLZ HELP WILL GIVE BRAINLIEST
(sat prep) For the figure, which of the following is true?
I m∠1+m∠2=m∠6+m∠5 m
II∠1+m∠3=m∠6+m∠4
III m∠1+m∠3+ m∠6=m∠2+m∠4+m∠5
A I only
B I and II only
C II only
D II and III only
What is the smallest 6 digit palindrome that is divisible by 99
I've been trying for 3 hours and I still cant figure it out PLEASE help.
Answer:
108801Step-by-step explanation:
6-digit palindrome is the number n the form of:
xyzzyxThis is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):
x + z + y = y + z + xNow, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. You can see In our case we need to have (the minimum):
x + y + z = 9The smallest number we could get is when x is minimum, y is minimum, so:
x = 1, y = 0, then y = 8The number we get is:
108801Proof:
108801/99 = 1099Hello,
Let's assume n the palindrome
[tex]n=\overline{abccba}\\\\Since\ 99=9*11:\\\\the \ smallest\ \Longrightarrow \ a=1\\\\a+b+c+c+b+a=9*k\ ,\ k\in \mathbb{N}\\2*(a+b+c)=9*k\ \Longrightarrow \ k\in 2\mathbb{N} , \ : k=2\\\\1+b+c=9 \Longrightarrow \ b=0\ and\ c=8\\\\n=108801\\\\Proof:\\108801=9*12089 =11*9891\\Nota\ bene:(a+c+b)-(b+c+a)=11*p \Longrightarrow \ 0=11*p \Longrightarrow \ p=0[/tex]
10 of 10
Work out the area of a rectangle with base, b = 38mm and perimeter, P =
100mm.
b
Let the height of the rectangle = h
2b + 2h = 100
2(38) + 2h = 100
2h = 100 - 76
h = 12mm
area of rectangle = base x height
= 38 x 12
= 456mm²
Answer:
456mm²
Step-by-step explanation:
using formula;
b/2( P - 2b) = A
substitute values
PLS HELP I WILL GIVE BRAINLIEST
Kimberly will be riding her bike to school this year. The distance from her house to the end of the street is 1/6 mile. The distance from the end of the street to school is 3/8 mile. About how far is Kimberly's house from school?
Answer:
Step-by-step explanation:
The total distance = 1/6 + 3/8 miles Change the denominators to 24
D = 1/6 + 3/8 = 4*1/6*4 + 3*3 / 8 * 3
D = 4/24 + 9/24
D = 13/24 of mile.
Sandra y José son dos amigos que se encuentran en diferentes partes de la ciudad de Lima (Observa el plano), la distancia que los separa en el plano es de 7 cm ellos quisieran saber ¿Cuál es la distancia real en metros que los separa? Sabiendo que el plano ha sido dibujado a escala 1: 20 000.
Respuesta:
1,4 kilometros
Explicación paso a paso:
Dado que :
Distancia que separa a Sandra y José en el mapa = 7cm
Dibujo a escala = 1: 20.000; Esto se puede interpretar en el sentido de que 1 cm en el mapa equivale a 20.000 cm en el suelo.
Por tanto, una distancia de 7 cm en el mapa será:
20.000 * 7 = 140.000 cm en el suelo = distancia real
Por lo tanto, la distancia real = 140.000 cm.
Recordar :
1 cm = 10 ^ -5 km
140000 cm = 1.4 kilometros
Por lo tanto, la distancia real entre Sandra y José es de 1,4 km.
I have a lot of algebra problems. Someone help me even with this one please!
Answer: Choice D
The graph will be discrete because there is no such thing as a partial person to sign up, and the booth is set up once each day for sign ups.
=========================================================
Explanation:
Let's start with the independent variable d. This acts as the variable x. It's the input. The value of d only takes on positive whole numbers (eg: d = 1, d = 2, d = 3, etc). We cannot have something like d = 2.718
So this bit of evidence shows that our function is discrete. Discrete input values (d) plug into the function to produce corresponding discrete output values (m).
Furthermore, we know that m is discrete because the number of people cannot be a fractional or decimal number. We can't have half a person for instance.
---------------
A quick way to see if a set is discrete or continuous is to ask the question: "is it possible to apply the midpoint formula for ANY two values, and have the output make sense?"
So a set like {1,2,3,4,5,...} is discrete because the midpoint of 2 and 3 is 2.5, but that value is not in the set mentioned.
In other words, discrete sets have "gaps" so to speak, while continuous ones do not.
---------------
Another useful property is that let's say that a < x < b, and x is drawn from the domain set. This reduced set will be finite if we're dealing with discrete data. Eg: The set {1,2,3,4,5,...} has the subset {2,3,4} which is finite and discrete.
In contrast, the subset of real numbers x such that [tex]2 \le x \le 4[/tex] is continuous and this subset is infinitely large (has infinitely many members) because we could have things like 2.718 or 3.14 etc
Al sumar y/o restar números decimales, siempre se debe aplicar la norma de los signos. * 1 punto FALSO VERDADERO
Answer:
La norma de los signos es para el producto de números reales, y la norma es la siguiente.
(+)*(+) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(-)*(-) = (+)
Es decir, el producto de dos números de mismo signo es siempre positivo
El producto de dos números de distinto signo es siempre negativo.
Particularmente, para la suma esta norma no funciona (pues no está definida para la suma)
Pero en casos como:
5 - (-4)
(esto sería: "la diferencia entre cinco y menos cuatro")
notar que podemos reescribir esto como:
5 + (-1)*(-4)
Ahora podemos aplicar la norma de los signos:
5 + 4 = 9
Donde aplicamos la norma de los signos,
Podemos concluir que, si bien es una regla que aplica al producto, siempre la tenemos que tener en cuenta en cualquier operación que hagamos.
Por lo podemos concluir que la respuesta correcta es verdadero.
Suppose you own a rowboat and sometimes go rowing in the summer. In June, you are planning to go rowing with two of your friends (three people total in the boat), and in July, you are planning to go rowing with just one friend (two people total in the boat). Will you put in more effort (row harder) on the three-person trip or on the two-person trip?
Answer:
The three-person trip require more effort (row harder) than the two person-trip
Step-by-step explanation:
The number of persons in the boat determines the mass of the boat
The mass of the boat with three people in total is more than the mass of the boat with only two person's
Mass is a measure of inertia, which is the resistance of a body to accelerate, and therefore, to the application of a force
Therefore, on the three-person trip were three people are in the boat, the boat has more mass, and therefore more inertia and will require more effort (force) than on the two-person trip that has a lesser mass
factorise the following. x²-4
(x-2)(x+2) is factorize is given eq
The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____. a. becomes negative b. remains unchanged c. will increase d. will decrease
Answer:
b. remains unchanged
Step-by-step explanation:
Formula for standard error of mean is;
SE = σ/√n
From the above, we can see that the standard error of mean is independent of the confidence coefficient as it doesn't affect the SE.
Now, we are given that;
random sample; n = 100
Standard deviation; σ = 1
Thus;
SE = 1/√100
SE = 1/10
Now, even if the confidence coefficient is reduced, we can see that it has no impact on the standard error of mean.
Thus, SE remains unchanged.
question 2 help pls
Answer:
[tex](\sqrt{x+3} )^{2} + 4^{2} = 5^{2}[/tex]
x + 3 + 16 = 25
x + 19 = 25
x = 6
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
How do we write a set -builder method ?
Answer: 6(1,2,3)
Step-by-step explanation:
help and I'll follow you
Answer:
12 nickels and 9 dimes
Step-by-step explanation:
1/ We have: n + d = 21 <=> d = 21 - n or opposite (n = 21 - d)
2/ We have: 0.05n + 0.10d = 1.50 and then we will put 1/ into 2/
=> 0.05n + 0.10(21 - n) = 1.50
=> 0.05n + 2.1 - 0.1n = 1.5
=> -0.05n = -0.6
=> n = 12
Nevertheless, d = 21 - n = 21 - 12 = 9
I need some help with this one. Please give it a go! Thank you for your time!
Answer:
A) [tex]3x^{2} - x - 4[/tex]
B) [tex]-3x^{2} -4x -5[/tex]
Step-by-step explanation:
Bajo que método de inventario se usa la cuenta de compra
Answer:
Estimating the economic impact of climate change from weather variation
Step-by-step explanation:
Estimating the economic impact of climate change from weather variation:If economists are going to be able to offer clear guidance about the appropriate ambition of climate change policy, we need firmer damage estimates.This column introduces a new model that prices farmers’ ex-post and ex-ante adaptations to weather changes and forecasts. #accelerationism
find the gradients of line a and b
Answer:
Gradient of A: 2
Gradient of B: -1
Step-by-step explanation:
Gradient = change in y/change in x
✔️Gradient of A using two points on line A, (2, 5) and (0, 1):
Gradient = (1 - 5)/(0 - 2) = -4/-2
Simplify
Gradient of A = 2
✔️Gradient of B using two points on line B, (0, 5) and (5, 0):
Gradient = (0 - 5)/(5 - 0) = -5/5
Simplify
Gradient of B = -1
Prove that the expression A + B - C is equivalent to the expression C - B - A if A = 2x - 1, B = 3x + 1 and C = 5x.
Answer:
both are equal is 0
Step-by-step explanation:
After substituting, the answer is 0 to both
18. (a)
A football club sells tickets at different prices dependent on age group.
The table shows the football ticket prices for the different age groups.
Price Age:
Under 18 = $15
18 to 60 = $35
Over 60 = $18
At a particular game there were 42 600 tickets sold.
14% were sold to people aged under 18
2/3 of the tickets were sold to people aged 18 to 60
The remainder were sold to people aged over 60
Answer:
5,964 people are under 18 , 400 people are aged 18 to 60 , 8,236 people are over 60
Step-by-step explanation:
42 , 600 x 14/100 = 5,964 people are under 18
42,600 x 2/3 = 28 , 400 people are aged 18 to 60
The remaining over 60 = 42 , 600 - (5,964 + 28400)
42,600 - 34,364 = 8,236 people are over 60
Recipe ingredients remain jn a constant ratio no matter how many serving are prepared. Which table shows a possible ratio table for ingredients C and Y for the given number of servings
Answer:
The last table (the bottom one)
Step-by-step explanation:
The ingredients having the same ratio means that, for every number of servings, we should have:
Y/X = constant.
So, for the first table when we have 1 serving, the quotient is:
Y/X = 2/1 = 2
when we have two servings:
Y/X = 3/2 = 1.5
The ratios are different.
Then this is not the correct option.
For the second table, when we have 1 serving the ratio is:
Y/X = 2/1 = 2
when we have two servings:
Y/X = 4/2 = 2
when we have 3 servings:
Y/X = 8/3 = 2.66
This is not the correct option.
For the third table:
1 serving:
Y/X = 2/1 = 2
2 sevings
Y/X = 3/2 = 1.5
This is not the correct option.
fourth table:
1 serving:
Y/X = 2/1 = 2
2 servings
Y/X = 4/2 = 2
3 servings
Y/X = 8/4 = 2
Here we can see that the ratio is always the same, then the ratio remains constant.
This is the table that shows a possible ratio for ingredients X and Y,
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
29°
Step-by-step explanation:
cos x = 84/98
x = cos-1(84/98)
x = 28.9
Consider the quadratic function f(x) = x2 - 5x + 6.
What are the values of the coefficients and constant in the function?
а
b
c
Answer:
a=1
b=-5
c=6
Step-by-step explanation:
ax^2+bx+c=0
Is the formula used for this question.
The given function is the same as y = 1x^2 + (-5x) + 6
Compare it to the form y = ax^2+bx+c, and we have the following:
a = 1
b = -5
c = 6
Please help ASAP and please explain how you got the answer.
Answer:
The third one
Step-by-step explanation:
All show complementary angles ( angles that add up to 90 degrees ) except for the third one
First one: shows a square within the two angles which indicates that the angles form a right angle ( 90 degree angle ) meaning that they are complementary angles
Second: the angles add up to equal 90 ( 50 + 40 = 90 ) hence they are complementary angles
Third one: the angles form a straight line. Angles that form a straight line add up to equal 180 and are known as supplementary angles
Fourth: the angles shown add up to 90 ( 65 + 25 = 90) hence they are complementary angles
All are complementary but the third one
Determine the area of the triangle.
90.6 square units
50.1 square units
94.2 square units
106.0 square units
Answer:
94.2 square units.
I got 94.09 but that seems to be the closer answer.
Someone please help me with this math problem?
Answer:
D
Step-by-step explanation:
5(x-5)=353 + x
the first 5 is all his tests, in the parenthesis x is the average score, and -5 is the 5 points lower mentioned in the problem.
Answer:
B
Step-by-step explanation:
We are given that Markus scored 85, 92, 82, and 94 on his first four tests and x on his fifth.
We know that his score on the fifth test is five points lower than the average of all five tests.
To find the average, we add up all the values and divide by the number of values there are. Therefore, the average of all five tests is:
[tex]\displaystyle \frac{85+92+82+94+x}{5}[/tex]
Simplify:
[tex]\displaystyle =\frac{353+x}{5}[/tex]
His test score x is five points lower than the average. Hence:
[tex]\displaystyle x=\left(\frac{353+x}{5}\right)-5[/tex]
Rewrite. We can add five to both sides:
[tex]\displaystyle x+5=\frac{353+x}{5}[/tex]
And multiply both sides by five. Hence:
[tex]\displaystyle 5(x+5)=353+x[/tex]
Thus, our answer is B.
Notes:
By solving the equation, we see that x = 82. So, Markus scored 82 points on his fifth test.
If that is true, then his average score of all fives tests will be:
[tex]\displaystyle \frac{85+92+82+94+82}{5}=87[/tex]
82 is indeed five points fewer than 87, so our answer is correct and matches the given information.
Sales of a certain product are declining at a rate proportional to the amount of sales. If at the end of the first year the sales have declined by 22%, then how many years will have passed (since the beginning of the first year) when sales become only 31% of their original value? Express your answer as a decimal, correct to within 0.001 years.
Answer:
The answer is "6.093 years".
Step-by-step explanation:
The rate of decline in sales in [tex]22\%[/tex] per year.
The starting sales is 100 units:
Using compounding formula:
[tex]\to 100 \times (1-\frac{22}{100})^t=22\% \ of \ 100\\\\\to 100 \times (\frac{100-22}{100})^t=\frac{22}{100} \times \ 100\\\\\to (\frac{78}{100})^t=\frac{22}{100}\\\\\to 0.78^t=0.22\\\\\text{taking \log on both the sides}\\\\[/tex]
taking log on both sides
[tex]\to \log_e \ 0.78^t= \log_e\ 0.22\\\\\to t \log_e \ 0.78= \log_e\ 0.22\\\\\to t = \frac{\log_e 0.22}{\log_e 0.78}\\\\[/tex]
[tex]= \frac{-0.6575}{-0.1079}\\\\= \frac{0.6575}{0.1079}\\\\=6.093[/tex]