Answer:
2cos(330º)
Step-by-step explanation:
both equal to √3
Expressing 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)
Meaning of trigonometric functionTrigonometric function can be defined as real functions in mathematics that forms a relationship between an angle of a right-angled triangle to the ratio of the length of two sides.
Trigonometric function is very important as it is mostly concerned with functions of angles and their application in calculation
In conclusion, to express 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)
Learn more about trigonometric function: https://brainly.com/question/24349828
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Bryce took a quiz that consisted of true-or-false questions and multiple-choice questions. The true-or-false questions were worth 1 point each, and the multiple-choice questions were worth 2 points each. Bryce only knows that he answered 8 questions correctly and earned a total of 14 points. To determine the number of each type of question that he answered correctly, he wrote the system of linear equations x + y = 8 and x + 2 y = 14.
Which ordered pair is a solution to this system of linear equations, and what does the ordered pair represent?
(0, 8); Bryce answered 0 true-or-false questions correctly and 8 multiple-choice questions correctly.
1. (2, 6); Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.
2.(6, 2); Bryce answered 6 true-or-false questions correctly and 2 multiple-choice 3.questions correctly.
4. (8, 0); Bryce answered 8 true-or-false questions correctly and 0 multiple-choice questions correctly.
Answer:
Answer would be (2, 6); Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.
Answer:
B
Step-by-step explanation:
ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale.
Given:
ZD=44
ZA=87
FC=75
Find: ZC and AC
Answer:
ZC = 87AC = 150Step-by-step explanation:
Can't post as text so adding as picture
The value of x is ____ degrees, and the value of y is___degrees
Answer:
x = 112°, y = 68°
Step-by-step explanation:
68° and y are corresponding angles and are congruent, then
y = 68°
x and y are adjacent angles and are corresponding ( sum to 180° ), then
x + y = 180°
x + 68° = 180° ( subtract 68° from both sides )
x = 112°
The table shows a person saving money at a constant rate. How much is this person saving per week?
(Chart)
$------ 2-60. 4- 120. 6- 180. 8-240
(Answers)
A)$2.
B)$30.
C)$60.
D)$120
Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
This concludes that the rate of change is contant i.e. $30 dollars per weekTherefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
What is the factored form of 64g3+8?
O. (4g + 2) (16g2 + 8g - 4)
O. (4g + 2) (16g2 - 8g - 4)
O. (4g + 2) (16g2 + 8g + 4)
O. (4g + 2) (16g2 - 8g + 4)
Answer:the answer is D
Step-by-step explanation:
dani rode her bike for 10 hours a day for 8 days . in this time she covered 576 miles. how many miles per day day did did dani average
Answer:
72 miles per day
Step-by-step explanation:
Step one data
we are told that Dani rode for 10 hours per day for 8 days
hence per day, the time taken is = 10 hours
Also,
Hence the average distance covered per day is
=total number of miles/total number of days
=576/8= 72 miles per day
Solving special systems
{y=1/2x+4
{-1/2x+y=-5
Answer:
no solution
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{1}{2}[/tex] x + 4 → (1)
- [tex]\frac{1}{2}[/tex] x + y = - 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 4 into (2)
- [tex]\frac{1}{2}[/tex] x + [tex]\frac{1}{2}[/tex] x + 4 = - 5 , that is
4 = - 5 ← not possible
This indicates the system has no solution
_.._
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jgs ``;--"`; | `-`
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Answer:
ssxq
Step-by-step explanation:
Answer:
Hello. How's your day been so far?
Step-by-step explanation:
HELP LOOK AT THE SCREENSHOT
Find the value of x. (SHOW WORK)
Answer: x = 2
=============================================================
Explanation:
Refer to the diagram below.
I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).
Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)
Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.
The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.
----------------------
Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.
The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10
Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.
----------------------
Now let's solve for x
6x-10 = 3x-4
6x-3x = -4+10
3x = 6
x = 6/3
x = 2
Solve for x:
2x+1= -3x+36
Answer: IS 7
2
Answer: x=7
Step-by-step explanation:
what polynomial should be subtracted from 3x^2+4x-1 to get the difference equal to 0
PLZ HELP
Answer:
1
Step-by-step explanation:
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a video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal...
equation:
solutionx(games):
There are 7 books numbered 1-7 on the summer reading list. Sandra randomly chooses 2 books. What is the probability that Sandra chooses books numbered 1 and 2?
Answer:
2/7
Step-by-step explanation:
Simon drove through some roadworks where the speed limit was 50 mph. Two cameras recorded the time taken to travel 1200 m through the roadworks as 56 seconds . Was Simon speeding through the roadworks ?
Answer:
[tex]Speed = 21.43m/s[/tex]
Step-by-step explanation:
Given
[tex]Distance = 1200m[/tex] -- of the roadworks
[tex]Time\ Recorded = 56s[/tex]
Required
Determine the speed
In this case:
[tex]Speed = \frac{Distance\ of\ Roadword}{Time\ Captured}[/tex]
[tex]Speed = \frac{1200m}{56s}[/tex]
[tex]Speed = 21.43m/s[/tex] --- approximated
¿Cuántas veces más grande es 5 x 106 que 5 x 102?
Answer/Step-by-step explanation:
5 x 106 es la más grande ecuacióne.
5 x 106 = 530
5 x 102 = 510
530 > 510
An expression is shown. 2/3+1/5 What is the value of the expression?
Answer:
13/15
Step-by-step explanation:
all of the other answers would be wrong because of the numbers they choose and if you use s fraction calculation ik that will give you an answer of 13/15
Which interval notation represents the inequality 0 < x ≤ 5?
A. [0,5)
B. (0,5)
C. [0,5]
D. (0,5]
Answer:
B. (0,5). Hope this helps you
63% of all people in the United States have at least some college education. If ten people were chosen at random, find the probability that exactly half have some college education.
Answer: 0.2417
Step-by-step explanation:
- 10! / (10-5)!5! x 0.53^5 x 0).47^5
To solve the problem we must know Binomial distribution.
The probability that exactly half have some college education is 17.3425%.
Given to us
The probability of a person having at least some college education = 63% = 0.63To solve the problem we will use the Binomial distribution, therefore,
The probability of a person having at least some college education, p = 63% = 0.63The probability of a person not having at least some college education, q = 37% = 0.37Number of people selected for college education (Sample Size) = 10Using the formula for Binomial Distribution,We want the probability that exactly half have some college education, therefore, x = 5
[tex]P(x) = ^nC_x\ p^x\ q^{(n-x)}[/tex]
Substitute the values we get,
[tex]P(5) = ^{10}C_5\ (0.63)^{5}\ (0.37)^{(10-5)}\\\\P(5) = ^{10}C_5\ (0.63)^{5}\ (0.37)^{5}\\\\P(5) = 0.173425 = 17.3425\%[/tex]
Hence, the probability that exactly half have some college education is 17.3425%.
Learn more about Binomial distribution:
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Can somebody help me with this one
Answer:
D
Step-by-step explanation:
a^2 cancels out a^5 remaining a^3 denominator
b2 cancels b4 = b2 numerator
c3 cancels out c8 = c5 remaining denominator
36/4 = 9
therefore 9b^2 /a^3 c^5
Klara downloaded 264 pictures from her cell phone to her computer. These pictures took up 528 megabytes of space on her computer. Each picture took up the same amount of space. How many megabytes do 35 of these pictures take up
Answer:
"70, because 528 divides by 264 is 2, which means each picture is 2 megabytes, so therefore 35x2 = 70"
Step-by-step explanation:
Write 5x - y = 1 4 in slope-intercept form.
Answer:
the answer is 34 because u multiple the y that is 4 5 times and you got 34
Which ratio forms a proportion with 7/14?
A. 4/9
B. 5/12
C. 2/5
D. 3/6
Answer:1
Step-by-step explanation:
please help me w this, wi give u brainliest:0
Answer:
(2,0) is an ordered pair
Step-by-step explanation:
y=1/2x-2 hope this helps :)
What is the simplified form of the expressions?
a. −6a2b−1
b. 5/y−3
Answer:
a.
-6a²/ b
b.
5y³
Step-by-step explanation:
a
-6a²b⁻¹
-6a²/ b
b.
5/ y⁻³
5 / 1/ y³
5 * y³/1
5y³
Is the answer to this equation 20 ÷ 2(7+3), 1 or 100?
Answer:
its 1 bc (7+3) =10 then 2×10= 20÷20=1
Which statement about numbers is true?
O All integers are natural numbers.
O All rational numbers are integers.
O All natural numbers are whole numbers.
O All rational numbers are natural numbers.
Plzzzz help!!! I will mark u brainlest
Answer:
c
Step-by-step explanation:
hope u have a blessed christmas and a happy new year
Answer:
the answer is option c
Step-by-step explanation:
Compute the slope of the line intersecting the points (1, 2) and (3, 8). *
1 point
I’ll mark as brainiest
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)
m = [tex]\frac{8-2}{3-1}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Orchids are a family of thousands of types of flowers that all share the same shape. Many gardening clubs are devoted to collecting, studying, and growing orchids, because it is difficult to grow them outside of their natural habitats. Which are scientific questions that can be asked about a collection of different orchid types? Check all that apply. Which type needs the highest temperatures to grow in? Which type has the most beautiful colors? Do all of the types make food the same way? Do all of the types deserve the same amount of admiration? How can someone decide which type makes the best gift? How long does it take for a specific type to make its seeds?
Answer:
The correct options are;
1) Which type needs the highest temperature to grow
2) Do all of the types make food the same way
3) How long does it take for a specific type to make seeds
Step-by-step explanation:
The number of types of species in the orchid family = Several thousand
The tasks the gardening clubs are devoted to = Collecting, Studying, and growing of the orchids
The manner of the growth of the orchids = Difficulty observed in growing outside the orchid's natural habitat
Scientific questions are objective questions that are measurable, well defined about parameters that can be controlled which can be answered by means of an experiment and meant to provide a deeper understanding of the nature of the world around us
Therefore, the scientific questions that can be asked about a collection of different orchid types are;
1) Which type needs the highest temperature to grow
The above is a question that has a defined parameter (temperature) which is measurable and the answer can be provided by experimenting
2) Do all of the types make food the same way
An experiment with different orchid types will provide an answer to the above question
3) How long does it take for a specific type to make seeds
The length of time for it takes the seed to grow is measurable within an experiment.
Answ do all types make food the same way? which type needs higher tempurturs to grow and do all types make food the same way
Step-by-step explanation:
i took the test
Quadrilateral ABCD is transformed according to the rule (x,y)-> (X + 4, y + 6) to create A'B'C'D'.
A The lengths of ABCD are twice the corresponding side lengths of A'B'C'D'
B The angle measures of ABCD are equal to corresponding angle measures of A'B'C'D'
C The side lengths of A'B'C'D' are 4 units longer than ABCD
D The angle measures of A'B'C'D' are greater than the corresponding angle measures of ABCD
Can a cloud be a line of symmetry?
Answer:
No, it can not
Step-by-step explanation:
Hope this helped have an amazing day!