Answers
Answer:
[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex]
Step-by-step explanation:
The parameters of the angle θ₁ are;
The location of θ₁ = Quadrant II
cos(θ₁) = -22/29
We note the following;
1) The sine of an angle in quadrant II is positive
2) The cosine of an angle in quadrant II is negative,
2) The cos of an angle = The adjacent leg length to the reference angle divided by the hypotenuse length of a right triangle
3) With regards to the right triangle for finding cos(θ₁)
The adjacent leg length = -22 (The x-axis is negative in quadrant II)
The hypotenuse length = 29
The negative sign is obtained from the value of cosine in the quadrant
Therefore, by Pythagoras' theorem, for a right triangle, we have;
The opposite leg length to 'θ₁' = √(29² - 22²) = √(357)
[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
Therefore, we have;
[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex].
Related Questions
factor the trinomial 16x2 + 14x + 3
Answers
Answer:
Step-by-step explanation:
16x²+14x+3
=16x²+8x+6x+3
=8x(2x+1)+3(2x+1)
=(2x+1)(8x+3)
Find the slope of the line
Answers
Simplify: 36.6 ÷ (12)
Answers
Answer:
Hi! The answer to your question is [tex]3.05[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 154 grams?
y = a(.5) t/h
Answers
Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes
Find the formula for the nth term in this arithmetic sequence a1=0 a2=.5 a3=1 a4=1.5
Answers
Answer:
Step-by-step explanation:
The arithmetic sequence usually write as [tex]a_{n}=a_{1} +(n-1)d[/tex], where a1 is the first term and d is a common difference.
[tex]a_{n} = a_{1}+(n-1)d\\a_{n} = 0+(n-1)0.5\\[/tex]
Which of the following are characteristics of a tortoise in a desert environment that distinguish the tortoise as a living thing?
Choose the THREE that apply.
A. It needs food.
B. It reproduces.
C. It uses energy.
D. It takes up space.
E. It is made up of atoms.
Answers
Answer:
A.
B.
E.
Step-by-step explanation:
hope this helps ❤️
B.
A.
E.
It’s not c because there are many things that can contain energy
warning number 777777777777777777777777777777
Answers
Answer: What is the warning for???? anyway your answer x= -3, x=-5
Step-by-step explanation:
Hope this helps you! Have a good day! :)
Will mark brainiiest help please <3
Answers
Answer:
0.029g
Step-by-step explanation:
Mr. Brown opened a new account with a deposit of $4,000.
- The account earned annual simple interest. - He did not make any additional deposits or withdrawals.
- At the end of 4 years, the balance was $4,400. What is the annual interest rate on this account? O 5%
O 2.5%
O 10%
O 7.5%
Answers
Fairly simple 4000x0.1=400 which was the amount of interest earned
Which is the correct comparison?
4.25 hours = 260 minutes
260 minutes > 4.25 hours
4.25 hours > 260 minutes
260 minutes < 4.25 hours
Answers
Answer:
260 minutes > 4.25 hours
Step-by-step explanation:
1h=60 min.
0.25 h=¼h=¼*60min=15min.
4.25h=4h+0.25h=60*4+15min=240+15=255min
260>255
Answer:
60+60+60+60=240
240/4=4,25
=4,25
Solve this please!!!!!
Answers
328 hope this helps
Pls mark brainliest!PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPP
Answers
Answer:
The equation is x-18 + 8x = 180 (because they form a linear pair of angles.
Each angle measure:-
x-18 + 8x = 180
x + 8x = 180 + 18 (-18 becomes +18)
9x = 198
x = 198/9
x = 22
Angle 1 = x-18 = 22-18 = 4 degrees
Angle 2 = 8x = 8 * 22 = 176 degrees
Hope it helps :')
Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.
What is the explicit rule that describes the sequence?
an=−1,171,875(125)n−1
an=1,171,875(−15)n−1
an=−1,171,875(15)n−1
an=1,171,875(−115)n−1
Answers
Answer:
an = −1,171,875(1/5)^n-1
Step-by-step explanation:
The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;
an = ar^n-1
n is the number of terms
r is the common ratio
a is the first term
From the sequence;
a = −1,171,875
r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2
r = 1/5
Substitute the values in the formula;
an = −1,171,875(1/5)^n-1
Hence the required explicit formula is an = −1,171,875(1/5)^n-1
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is {−1,171,875;−234,375;−46,875;−9375,…}
The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be
[tex]\rm a_n = a\ r^{n-1}[/tex]
Where
Number of terms (n)
First-term (a) = -1,171,875
Common ratio (r) = 1/5
Then nth term will be
[tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]
The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.
More about the sequence link is given below.
https://brainly.com/question/21961097
this this this!!!!! can u answer
Answers
Answer:
A= 30
B= 24.3
Step-by-step explanation:
In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points) Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points) AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.
Answers
Answer:
120 degrees
Step-by-step explanation:
im a god cuz happppy
Answer:
120 lol
Step-by-step explanation:
I NEED HELP ASAPPPP ILL GIVE BRAINLIESTTTTTT
Answers
y=-3 - x, how to draw the graph
Answers
Answer: See attachment below (graphing)
Step-by-step explanation:
INFORMATION:
The slope-intercept is when y=mx+b
mx=the slope
b=y-intercept
REPHRASE EQUATION:
y=mx+b
y=-3-x
y=(-1)x-3
CONCLUSION:
Slope=-1
Y-intercept=-3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
the graph: y = -3 - x
Work out the circumference of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
16.8 cm
Answers
Answer: 52.7856cm
Step-by-step explanation:
Circumference of a circle = 2πr
Note that radius = Diameter / 2 = 16.8/2 = 8.4cm
Circumference = 2πr
= 2 × 3.142 × 8.4
= 52.7856cm
Therefore, the circumference of the circle is 52.7856cm
Help plzz I need the length of "b" and the answers and the steps to find that answer??? Plz help don't have a lot of time to submit this! Plz don’t give me a file it won’t work plz type the answer if you know it ty
Answers
Answer:
Use pythagorean theorem.
Step-by-step explanation:
The length of the shorter sides are 1 & 4
1^2+4^2=c^2
1+16=c^2
17=c^2
So, the length, rounded to the nearest whole inch, would be 4.
To find the perimeter, you need to find the side lengths first.
The short sides are 6 & 7.
6^2+7^2=c^2
36+49=c^2
85=c^2
So the length for that would be 8, in the nearest whole number.
Add all of the side lengths together.
6+7+8= 21
The perimeter is 21.
-7 = 2x - 7
A. 0
B. 4
C. Infinite Solutions
D. No solutions
Answers
Answer:
A
Step-by-step explanation:
the variable is how many times the two will be multiplied, so 2 times 0 equals 0, there by making the problem. -7= - 7
Answer:
that will be A. 0
Step-by-step explanation:
first, i flip the equation
2x - 7= -7
next, i add both side by 7
2x−7+7=−7+7
2x=0
and finally, you divided by 2
2x/2 = 0/2
you get x = 0
Determine the area of a circle whose radius is 15 feet. Use pie=3.14
Answers
Answer:
Down below
Step-by-step explanation:
[tex]A=\pi r^2\\A=3.14*(15)^2\\A=3.14*225\\A=706.5[/tex]
A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green? A bag contains colored tiles. • 3 tiles are red • 6 tiles are green • 3 tiles are blue A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?
Answers
The longest run way at an airport has the shape of a rectangle and an area of 1,573,000 sq ft. This run way is 130 feet wide. How long is the run way?
Answers
Answer:
12,100 feet
Step-by-step explanation:
The longest run way at an airport has the shape of a rectangle and an area of 1,573,000 sq ft. This run way is 130 feet wide. How long is the run way?
The area of a rectangle = Length × Width
Width = 130 feet
Area = 1,573,000 sq ft
The Length = Area/Width
= 1,573,000 sq ft/130 feet
= 12,100 feet
Therefore, the runaway is 12,100 feet long.
Who is Pythagorean? when was he born? when did he die?
Answers
Answer:
" Pythagoras established the first Pythagorean community in Crotone, Italy. Early Pythagorean communities spread throughout Magna Graecia. "
"was an ancient Ionian Greek philosopher and the eponymous founder of Pythagoreanism . " <---------- Credits to: Yahoo
He was born in about 570 BC on the Greek island of Samos
He died in 495 BC
wuestion
A restaurant customer left $1.05 as a tip. The tax was 6% and the tip was 15% of the cost including
tax.
What was the total bill?
Plz help due at 11:59
I will mark right answer brainliest
Answers
1.05 = 0.21x
x = 5
The total bill is $5
Explain the relationship between evolution, natural selection and mutations.
You must write out a well thought out and cohesive explanation. Use the CER model for this answer.
Answers
Answer:
Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.
Answer:
Darwin's theory of evolution
Charles Darwin developed a theory of evolution to explain the unity and diversity of life, based on the idea of shared common ancestors.
Natural selection
Darwin's theory was based on the mechanism of natural selection, which explains how populations can evolve in such a way that they become better suited to their environments over time.
Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.
Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.
Natural selection acting on mice population over time.
Individuals have variations within their heritable traits. Some variations make an individual better suited to survive and reproduce in their environment.
If this continues over generations, these favorable adaptations (the heritable features that aid survival and reproduction) will become more and more common in the population.
The population will not only evolve (change in its genetic makeup and inherited traits), but will evolve in such a way that it becomes adapted, or better-suited, to its environment.
Artificial selection
There are other types of selection, in addition to natural selection, that are out there in the world.
Artificial selection, also called "selective breeding”, is where humans select for desirable traits in agricultural products or animals, rather than leaving the species to evolve and change gradually without human interference, like in natural selection.
A timeline showing how dogs became domesticated over a long period of time due to artificial selection.
A timeline showing how dogs became domesticated over a long period of time due to artificial selection.
Dog breeding is a perfect example of how humans select for desirable or fashionable traits. Breeders deliberately mate parents with the hope of producing offspring with specific traits (such as color, size, ear shape, snout length, and so on).
Common mistakes and misconceptions
Evolution is not the same as adaptation or natural selection. Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment.
Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits. For example, a rabbit can't choose to have a different fur color. Rather, a genetic mutation causes a difference in fur color, which may help that rabbit hide better in its environment.
Natural selection acts on existing heritable variation. Natural selection needs some starting material, and that starting material is heritable variation. For natural selection to act on a feature, there must already be variation, and that variation must be able to be passed on to offspring.
Natural selection depends on the environment. Natural selection doesn't favor traits that are somehow inherently superior. Instead, it favors traits that are beneficial in a specific environment. Traits that are helpful in one environment might actually be harmful in another.
Step-by-step explanation:
In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below.
Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.
Answers
Answer: 1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Step-by-step explanation:
Given the following perfect square trinomial, fill in the missing term. (2 points)
9x^2 +___+25
Answers
Answer:
30x
Step-by-step explanation:
missing must be 2×3x×5=30x
9x²+30x+25=(3x+5)²
What is (-49(49 x 5982+3)^2
Answers
Answer:
[tex] - 49 \times (49 \times 5982 + 3) {}^{2} \\ = - 49 \times 85919920641 \\ = - 4,210,076,111,409[/tex]
Five students participated in an Easter egg hunt. Ally snatched up one
quarter of all of the eggs. Brett only managed to get half of what Ally
found. Lee snagged six more than Brett. Jen ended up with half of Lee's
take, while Lisa snagged three times that. How many eggs were there in
total?
Answers
Answer:
There were a total of 72 Easter eggs.
Step-by-step explanation:
Since five students participated in an Easter egg hunt, where Ally snatched up one quarter of all of the eggs, Brett only managed to get half of what Ally found, Lee snagged six more than Brett, Jen ended up with half of Lee's take, While Lisa snagged three times that, to determine how many eggs were there in total, the following calculation must be performed:
Ally: 0.25X
Brett: 0.125X
Read: 0.125X + 6
Jen: 0.0625X + 3
Smooth: 0.1875X + 9
X - 0.25X - 0.125X - 0.125X - 0.0625X - 0.1875X = 0.25
0.25X = 6 + 3 + 9
0.25X = 18
Ally: 18
Brett: 9
Read: 15
Jen: 7.5
Smooth: 22.5
18 + 9 + 15 + 7.5 + 22.5 = X
72 = X
Thus, there were a total of 72 Easter eggs.
