Step-by-step explanation:
√3 cos θ - sin θ= √2dividing both side by 2
√3/2 cos ∅-1/2 sin∅=√2/2
sin60cos∅-cos60sin∅=1/√2
sin(60-∅)=sin(180-45)or sin45
therefore=
60-∅=135
∅=135-60=75
tan∅=tan75=3.73or 2+√3
when ∅=45
60-∅=45
∅=60-45=15
tan∅=tan15=2+√3
please answer !!! will give brainliest
A. 2 and 8
B. 2
C. 8
Answer:
a 2 and 8
Step-by-step explanation:
most numbers are 2 and 8
2 and 8
To find the mode of a data set, look for the number that occurs most often
WALLAI HELP ME THIS IS HARD HELP ME PLEASE
Answer:
3,-1 I hope it is a right answers
Step-by-step explanation:
( 3,1 )
please mark as brilliant
Find the area of the composite figure.
If you answer I'll give you branliest :)))(
Answer:
252cm²
Step-by-step explanation:
This figure consists of 2 trapeziums.
Area of a trapezium= (The sum of the parallel side/2)× height
Explanation:
[(16+20)÷2]×7
[36÷2]×7
18×7
126cm²
Since the 2 trapezium have the same value we will just multiply the answer by 2.
126×2
252cm²
Hope this helps:)
Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.
Required:
a. Find a real-world situation that can be represented by a sinusoidal function. You may find something online that represents a sinusoidal graph or you can create a sinusoidal graph yourself with a measuring tape and a rope.
b. Provide a graph complete with labels and units for the x- and y-axes.
c. Describe the amplitude, period, and vertical shift in terms of the real-world situation.
Answer:
a. An example of a real situation that can be represented by a sinusoidal function is a Ferris wheel
b. The graph of the sinusoidal function representing the Ferris wheel created with Microsoft Excel is attached
c. The amplitude is the radius of the Ferris wheel
The period is the time it takes to complete one cycle
The vertical shift is the height of the wheel above ground
Step-by-step explanation:
Brooklyn's family took a road trip to Mount Rushmore. Brooklyn fell asleep 72% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Brooklyn fell asleep?
Answer:
13
Step-by-step explanation:
plus 2 = 11 = 13
Answer:
The correct answer is 288
Step-by-step explanation:
72% of 400 is 288 you can do that in a calculator its common sense, its not 13.
Given the function f(x) = 4x + 1, EXPLAIN and show how to find the average rate of change between x = 1 and x = 3.
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
Please help! It’s super easy and I’ll reward you brainiest
Oil costs $4 per gallon and diesel costs 5.24 per gallon. If the price of oil rises at 10% per month, how many months will it take before a gallon of oil costs more than a gallon of diesel?
Answer:
It would take 31 Months for oil to get the same price as diesel.
HEEEEEEEEEELLLLLLLLLLP
wn
he quantity
8. 25% of 32.4
Step-by-step explanation:
25 percent of 32.4 is 8.1
Answer:
8.1
Step-by-step explanation:
.25x32.4=8.1
You can sell 60 pet chias per week if they are marked as $1 each, but only 50 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 10 chias per week if they are marked $1 per chia, and 20 per week if they are marked $2 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias
Answer:
$1 for 60
Step-by-step explanation:
60$ is a better deal.
150% as a simplified fraction
Answer:
It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%
Step-by-step explanation:
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Solve. Remember to insert units when writing your answer. A carpenter needs to cut a board into fourths. If the board is 32 ft 8 in. long originally, how long will each cut be?
Answer:
[tex]Each\ cut = 8ft\ 2in[/tex]
Step-by-step explanation:
Given
[tex]Length = 32ft\ 8in[/tex]
[tex]Cuts = 4[/tex]
Required
Determine the length of each cut
This is calculated by dividing the total length by the number of cuts.
So, we have:
[tex]Each\ cut = \frac{Length}{Cuts}[/tex]
[tex]Each\ cut = \frac{32ft\ 8in}{4}[/tex]
Split:
[tex]Each\ cut = \frac{32ft}{4} + \frac{8in}{4}[/tex]
[tex]Each\ cut = 8ft+ 2in[/tex]
[tex]Each\ cut = 8ft\ 2in[/tex]
Factor: 16m+8n-3 pls now
Solve the problem:
Kiram has 5 ziploc bags. He puts an equal number of marbles (X).Then he realized that he
needed to add 2 more marbles for each bag. If the total number of marbles is 30 how many
marbles in each bag?
Answer:
6?
Step-by-step explanation:
I guessed dont trust the answer
[tex] \sqrt{x - 1} (x - 6) {}^{2} [/tex]
inflection points?
Answer:
1 and 6
Step-by-step explanation:
it is just like the roots of a polynomial, since [tex]\sqrt{x-1}[/tex](x-6)^2=0
we can separate the two pieces of the problem
\sqrt{x-1} =0
square both sides to get
x-1=0. x=1
(x-6)^2=0
square root both sides and get
x-6=0
x=6
so the two inflection points of the equation are 6 and 1
Hope that helps :)
what is the value of a?
Answer:
9\sqrt{2}
Step-by-step explanation:
this is a 30-60-90 triangle so
the side opposite of 30 is x and the opposite side of 60 is x[tex]\sqrt{2}[/tex]. then the side opposite 90 is 2x.
so if 9=x then a=x\sqrt{2}
9\sqrt{2} is the side length of a
Hope that helps :)
PLZ ANSWER I WILL MARK BRAINLISTToni practices the piano 6 days a week.
The table shows the total number of hours she practiced one week.
Complete each statement.
Days
Practice Time (h)
Over 2 days, Toni practiced
2
1
hour per day
4.
3
6
5
5
Over 2 days Toni practiced 1 hour practicing the piano.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
Given, A table that shows the total number of hours Toni practiced piano in one week.
From the given table Toni practiced 1 hour over 2 days.
learn more about the representation of data here :
https://brainly.com/question/19126310
#SPJ2
Original amount: 27
End amount: 38.61
Increase or decrease
Answer:
increase
Step-by-step explanation:
11.61 was added to 27
I really need help with this. Can anyone help me please?
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
3,-2+2i
Thank you!
Answer:
f(x) = x³ + x² - 4x - 24Step-by-step explanation:
Since one of zero's is complex number, its conjugate should also be a zero of the given polynomial.
The conjugate of -2 + 2i is -2 - 2iThe polynomial is going to be:
f(x) = (x - a)(x - b)(x - c) with minimum of degree 3, with zero's a, b and c.Substitute zero's:
f(x) = (x - 3)(x - (-2 + 2i))(x - (-2 - 2i)) = (x - 3)(x² - x (-2 + 2i -2 - 2i) + (-2 + 2i)(-2 - 2i)) = (x - 3)(x² + 4x + 8) = x³ + x² - 4x - 24Todd and his wife are having company for dinner so he is tasked with stopping at the store to buy creamer for coffee and something for dessert. The creamer is in the far left corner of the store. As Todd is walking back to get the creamer he sees a sign for cookies that says “Just like grandma used to bake”, and the bag has a picture of a woman that reminds Todd of his grandmother. Todd buys the cookies for dessert.
Todd’s purchase was least likely a result of _____.
a.
the location of the creamer
b.
the location of the display
c.
the packaging of the cookies
d.
his shopping budget
Answer:
I think it is D because it says LEAST LIKELY a result so I would think that it is not because his shopping budget
Answer:
D
Step-by-step explanation:
<3
25. Which equation is not proportional? *
Oy=2x-3
Oy=150x
Oy=1/2x
YE 7
Hi there! Your answer is y = 2x-3
Please see an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
For an easy understanding to "proportional equation", It is basically an equation that is in form of y = mx + b where b = 0. Therefore, when b = 0 - Our new equation would be y = mx.
Other choices are in form of y = mx while the first choice isn't in the form of y = mx.
To be a proportional function or equation, the equation must be in the form of y = mx only.
The question asks which equation Is not proportional. Hence, the answer is the first choice.
Hope this helps!
Find m∠ABC in the picture. (it's not solving for x.)
Answer:
The answer would be 6º
Step-by-step explanation:
first we know that a straight lin is always 180º
so since we know that the angle outside of the triangle is 110º we can do 180º -110º
then we get the measuerment for angle C :70º
since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation
2+6x+12x+70=180
then we solve
72+18x=180
-72 -72
18x=108
/18 /18
x=6
then we plug in the x value to find the angle measurement
2+6(6)
2+36
38º
your answer is m<CAB is 38º
Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the store and can give her an additional 10% off. If the sales tax is 7.5%, how much does Claire pay for the dress?
a.
$93.24
b.
$103.20
c.
$108.36
d.
$120.40
Answer:
Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the store and can give her an additional 10% off. If the sales tax is 7.5%, how much does Claire pay for the dress?
a.$93.24 b.$103.20 c.$108.36 <<<<CORRECT d.$120.40 Step-by-step explanation: Edge 2021Answer:
C
Step-by-step explanation:
Complete the ratio table
Answer:
Sugar | Flour
¼ | 1
½ | 2
⅝ | 2½
4 | 16
Step-by-step explanation:
¼ part of sugar = 1 part flour (given)
Ratio of sugar to flour = ¼ : 1
Use this proportion to complete the table.
✔️Sugar to flour = ¼ : 1
½ : x = ¼ : 1
½/x = ¼/1
cross multiply
x*¼ = 1*½
x/4 = ½
Multiply both sides by 4
x = ½*4
x = 2
✔️Sugar to flour = ¼ : 1
x : 2½ = ¼ : 1
x : ⁵/2 = ¼ : 1
x/⁵/2 = ¼/1
Cross multiply
x*1 = ¼*⁵/2
x = ⅝
✔️Sugar to flour = ¼ : 1
4 : x = ¼ : 1
⁴/x = ¼/1
Cross multiply
x*¼ = 1*4
x/4 = 4
Multiply both sides by 4
x = 4*4
x = 16
Fruit-O-Rama sells dried pineapple for $0.25 per ounce. Mags spent a total of $2.65 on pineapple. How many ounces did she buy
Answer:
2.65/.25= 10.6oz
............
Answer:
10.6 Ounces
Step-by-step explanation:
Each ounce of dried pineapple costs $0.25
Divide $2.65 by $0.25
2.65/0.25=10.6
Mags bought 10.6 oz.
Cuál es el valor de 3/2? es para una tarea :(
Answer:
1.5
Step-by-step explanation:
Find the solution set to 2x-1<7 and 3x-5>16
Answer:
2
Step-by-step explanation: