Answer:
x = 20º
Step-by-step explanation:
we know that sin x = cos(90-x)
Hence
sin 30º = cos(90 - 30)º
sin 30º = cos 60º
hence sin 30º can be also written as cos 60º
Also, as given
sin 30º = cos(3x)
therefore
cos 60º = cos(3x)
as we have cos on both side then angle for both side will be same
60º = 3x
=> 60º / 3 = x
=> x = 20º
Then x = 20º is answer.
Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
1/3 of the members Voted know what fraction of the members did not know
Answer:
2/3 did not vote no
Step-by-step explanation:
1/3 voted no
The total is 1
1 - 1/3
3/3 -1/3
2/3 did not vote no
James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.
Answer:
£2,450
Step-by-step explanation:
What we want to do here is calculate the total amount spent on his birthday in £
We already have some costs in pounds, it is the costs not in pounds we are converting.
Flights already in pounds, no conversion
Hotel $105 per night at 14 days
Total here is 14 * 105 = $1470
Wifi cost at $4 per day for 13 days
Total here is 13 * 4 = $52
Total amount spent in dollars alone is $1470 + $52 = $1522
We try and covert this to pounds
$1.45 = £1
$1522 = £x
We simply cross multiply at this point
x = 1522/1.45 = 1049.65 which is approximately £1050
Total amount spent in £ is thus 1050 + 1400 = £2,450
Answer:
£2449.65
Step-by-step explanation:
105 × 14 = $1470
1470 ÷ 1.45 = £1013.79
13 × 4 = $52
52 ÷ 1.45 = £35.86
£1013.79 + £35.86 = £1049.65
£1049.65 + 1400.00 = £2449.65
The total cost was £2449.65
hurrryyyyy!!!! Need answer for work.
Answer:
x<7, The third option
Step-by-step explanation:
-1.1x+6.4>-1.3
We are trying to isolate x so we can move all the constant to one side.
-1.1x>-1.3-6.4
-1.1x>-7.7
Lastly, we need to divide both sides by -1.1.
-1.1x>-7.7/-1.1
Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.
x<7
Hope this helps :)
Answer:
I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...
Which angle measures approximately 152°?
Answer:
The answer is YZC, so the third option
Step-by-step explanation:
The explanation for this one is fairly simple, as the lines are already drawn out for you!
The line labeled C lines up with 152 on the protractor, and after connecting that to the base point Z in the middle and then the base line of Y, you get YZC
Hopefully I helped you!
Answer:
yzc
Step-by-step explanation:
i took the test and got it right
PLZ HELP :) 10 PTS
Justify whether matrix A is invertible.
A.
Yes, because its determinant is not equal to zero.
B.
Yes, because its determinant is greater than zero.
C.
No, because its determinant is zero.
D.
No, because its determinant is less than zero.
E.
No, because its determinant is not equal to zero.
We have that
The Matrix A is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.
Option E is correct
From the question we are Given the matrix:
[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]
Invertible Matrix
In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that
[tex]AB=BA=I_n[/tex]
where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero
Generally the determinate of Matrix A is given as
[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]
[tex]D=(6*6)-(-4*-9)\\\\D=0[/tex]
In conclusion
The Matrix A is a singular square matrix and because its determinate is zero.
So, No the Matrix A is inveritible because its determinant is not equal to zero.
Option E is correct
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compare: 6/11 to 5/9 which one is greater
Answer:
5/9 is greater
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
what is the volume of a cylinder with a height of 10 cm and a radius of 2 cm ?
Answer:
20 =10X2cm
20
answer answer
Step-by-step explanation:
First you need to find the area of the base and then multiply that by the height. The base of the cylinder is equal to pi times the radius squared or πr² which in this case is π·2². We then multiply the base times the height which gives us 10·π·2^2. I will let you simplify the result on your own.
What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 1.x - 3 y - 7 = 2.x - 3 y + 7 = 0 3. 3 x - y - 7 = 0
Answer:
x- 3y - 7=0
Step-by-step explanation:
the line in the slope-intercept form:
y= mx+bm= 1/3 and point given (1, -2) by using which we find y-intercept:
b= y-1/3xb= -2- 1/3*1= - 7/3y= 1/3x- 7/3General form of a line is: ax+by+c= 0
converting:
y= 1/3x- 7/3 ⇒ 3y= x- 7 ⇒ x- 3y - 7=0Answer:
x- 3y - 7=0
Step-by-step explanation:
Mark me BRAINLIEST please
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from
Answer:
a)40.5m
b)139.5m
Step-by-step explanation:
Considering downward as 'positive' y-direction
[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]
First is to resolve initial velocity into x and y component:
[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]
a) in order to find horizontal position of the ball:
[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]
[tex]x_f= 8.1\times5=40.5m[/tex]
b) To find the height that the ball was thrown from(vertical position):
[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]
Find t12 term in an arithmetic progression having t3 = 10 and t10 = −4 .
Answer:
t12= -8
Step-by-step explanation:
t3
a+2d=10 (1)
t10
a+9d=-4. (2)
From (1)
a=10-2d. (3)
Sub into (3) into equ (2)
a+9d=-4
10-2d+9d=-4
10+7d=-4
7d=-4-10
7d=-14
Divide both sides by 7
d=-14/7
d= -2
10=a+2d
10=a+2(-2)
10=a-4
10+4=a
14=a
a=14
t12=a+11d
= 14+11(-2)
=14-22
= -8
t12= -8
2 shapes A and B, are similar.
length of edges in A : length of edges in B = 2.5
The perimeter of A is 210mm
work out the perimeter of B
Answer:
525 mm
Step-by-step explanation:
The edges of A : B = 2.5, thus
The perimeters of A : B = 2.5
Thus the perimeter of B is 2.5 times the perimeter of A
perimeter of B = 2.5 × 210 mm = 525 mm
Help please I WILL MARK BRAINLIEST
Answer:
SAS
Step-by-step explanation:
DB and BD are equal
The angles near D are equal
AD and DC are equal
Side Angle Side
Please help with this question
Answer:
2nd graph from top
Step-by-step explanation:
a/ -5 ≥ 10
Multiply each side by -5, remembering to flip the inequality
a/-5 *-5 ≤ 10*-5
a ≤ -50
closed circle at -50 line going to the left
Add or subtract (5x^2 + x-3) - (-2x^3 + 4)
Answer:
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7
Answer:
2x^3 +5x^2 +x -7
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)
Distribute the minus sign
(5x^2 + x-3) +2x^3 - 4
Combine like terms
2x^3 +5x^2 +x -7
Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input
How to solve 4x-c=k solve for x
Answer:
[tex]x = \frac{k + c}{4}[/tex]
Step-by-step explanation:
Given:
[tex]4x - c = k[/tex]
Solve for:
[tex]x[/tex]
Solution:
(1) Let's move all of components that do not contain [tex]x[/tex] (our target) to the right side (notice the change of sign of [tex]c[/tex] from negative to positive):
[tex]4x = k + c[/tex]
(2) Let's divide both sides of equation by 4:
[tex]\frac{4x}{4} = \frac{k + c}{4}[/tex]
(3) Now, we simplify the left side:
[tex]x = \frac{k + c}{4}[/tex]
This is the solution.
Hope this helps!
:)
Which expression is equal to -3b^4(6b^-8)? Assume b=/0
Answer:
-18 b^-4= -18/b^4
Step-by-step explanation:
-3b^4(6b^-8)
Combine coefficients
-3*6 = -18
Combine exponents since the bases are the same, x^y * x^z = x^(x+z)
b^4 *b^ -8
b^(4+-8)
b^ -4
Put back together
-18 b^-4
We also know that x^-y = 1/x^y
-18/b^4
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Each pendant = 3.60
Step-by-step explanation:
3 necklaces made of beads and pendants
The total is 20.10
20.10 = 3( beads + pendant)
Distribute
20.10 = 3 beads + 3 pendant
The total for the beads is 9.30
Replace the 3 beads with 9.30
20.10 = 9.30+ 3 pendant
Subtract 9.30 from each side
20.10-9.30 = 9.30+ 3 pendant - 9.30
10.80 = 3 pendant
Divide each side by 3
10.80/3 = 3 pendant/3
3.60 = pendant
What is the probability of rolling a die and it landing on a number less than 3?
Answer:
2/6 (33.33%)
Step-by-step explanation:
Answer:
The answer would be 1/3
Step-by-step explanation:
There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.
Noah visits different states every summer. This summer, he started with 2 states already visited and visits 6 states per day. Write an equation to model this situation (use d for days and s for states)
s = number of states visited
d = number of days
6d = number of states visited after d days pass by, excluding the first 2 visited
6d+2 = total number of states visited, including the 2 originally visited
Answer: s = 6d+2A new restaurant opens, and on the first night has 100 guests. Each night after that, the number of guests grows by 20 people. What type of sequence does this scenario represent, and why? If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?
What type of sequence does this scenario represent, and why?
✔ arithmetic; the sequence has a common difference
If the pattern of the sequence continues, how many guests will the restaurant have on its 14th night?
✔ 360
This example doesn't accurately depict arithmetic because the succession has a common difference. The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.
Calculate arithmetic sequence nth term?Arithmetic sequences always add or subtract the same amount to go from one term to the next. Finding the difference between any AP phrase and its predecessor will reveal the common difference, indicated by the letter "d."
An arithmetic sequence's nth term is determined by, Formula an = a1 + (n - 1)d. The common difference, or d, is the difference between any two consecutive terms in an arithmetic series; it can be calculated by deducting any pair of terms starting with a and an+1.
an = 100 + (14 - 1)20.
an = 360
The restaurant will host 360 customers on its fourteenth night if the pattern of the series holds.
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Click on the measure of the angle. 116 64 66 114
Answer:
116 degrees.
Step-by-step explanation:
Help PLEASE!
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box.
Answer:
The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
P( E∪F) [tex]= \frac{24}{36}[/tex]
Step-by-step explanation:
Given Each number cube has sides numbered 1 through 6
Two distinct number cubes are rolled together
Total number of exhaustive cases n(S) = 36
Let 'E' be the event of getting sum is even
n(E) = {(1,3),(1,5), (2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4), (4,6),(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)} = 17
[tex]P(E) = \frac{n(E)}{n(S)} = \frac{17}{36}[/tex]
Let 'F' be the event of getting sum that is a multiple of '3'
n(F) = {(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3),(6,6) = 12
[tex]P(F) = \frac{n(E)}{n(S)} = \frac{12}{36}[/tex]
n((E∩F) = {(2,4),(3,3),((4,2),(5,1),(6,6)} =5
[tex]P(En F) = \frac{n(En F)}{n(S)} = \frac{5}{36}[/tex]
The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
P( E∪F) = P(E) + P(F) - P( E∩F)
[tex]\frac{17}{36} +\frac{12}{36} - \frac{5}{36} = \frac{24}{36}[/tex]
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c = child bike
a = adult bike
Child bike requirement:
4 hours build time
4 hours test time
Adult bike requirement:
6 hours build time
4 hours test time
Available Building time per week ≤ 120 hours
Available Testing time per week ≤ 100 hours
Therefore, company's work schedule is;
Building:
4c + 6a ≤ 120
Testing:
4c + 4a ≤ 100
Combined:
4c + 6a ≤ 120 and 4c + 4a ≤ 100
Building 20 Child bike and 6 adult bike in a week:
4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100
80 + 36 ≤ 120 - - - - 80 + 24 > 100
Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
Pleases HELP anybody?? Ill mark you brilliance!
Answer:
Step-by-step explanation:
P=8/13≈0.62
Which is equivalent to 64 Superscript one-fourth?
Step-by-step explanation:
Info : 2^(6)=64
then
64^(1÷4) = (2^(6))^(1÷4)
=2^(6÷4)
=2^(3÷2)
=2√(2)
=2.828427124746
Answer:
2√2
Step-by-step explanation:
edge 2020
Which of the following is a representation of a function?
A.8x^2+4x
B. 4x+3=y^2
C. 3y= 5x^2+y
D. x = y2
Answer:
A
Step-by-step explanation:
log base 4 (x^2) - log base 4 (x)
Answer:
[tex] log_{4}( {x}) [/tex]
Step-by-step explanation:
[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]
Question 6 of 10
2 Points
Which of the following words means "chore"?
A. El sillón
B. El estante
C. El dormitorio
O D. El quehacer
Answer:
D
Step-by-step explanation:
it translated into housework in other words chore. hope this helps :)
Answer:
D
Step-by-step explanation:
-
