Find the exact value of T Image below
T= (tan(2z)+1)(2 cos(z)-1)/ y^ 2 -x^ 2 , where x = 9 , y = 41 and z = 30 degrees
please explain
Answers
Answer:
a) 1/800 or 0.00125
b) i) 0.0013
ii) 0.001
c) 60%
Step-by-step explanation:
T = [tan(2×30)+1][2cos(30)-1] ÷ (y²-x²)
T = (tan60 + 1)(2cos30 - 1) ÷ (41² - 9²)
T = (sqrt(3) + 1)(sqrt(3) - 1) ÷ 1600
T = (3-1)/1600
T = 2/1600
T = 1/800
T = 0.00125
Error: 0.002 - 0.00125
0.00075
%error
0.00075/0.00125 × 100
60%
Related Questions
Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x
Answers
Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD
Step-by-step explanation:
Consider circle Y with radius 3 m and central angle XYZ measuring 70°.
Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
1.8 meters
3.7 meters
15.2 meters
18.8 meters
Answers
Answer:
3.7
Step-by-step explanation:
The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters
How to calculate the length of an arcThe length of an arc is expressed as:
L = r theta
Given the following parameters
r = 3m
theta = 70 degrees = 70π/180
L = 3(70π/180)
L = 3.7 metres
Hence the lenght of an arc is 3.7meters
Learn more on length of an arc here: https://brainly.com/question/2005046
What is the slope of the line ?
Answers
Answer:
-3
Step-by-step explanation:
solve the equation 18y - 17 = 7 for y
Answers
Answer:
y = 1.3
Step-by-step explanation:
18y - 17 = 7
18y = 7 + 17
18y = 24
y = 24/18
y = 1.3
hope it helps!
Answer:
y=4/3
Step-by-step explanation:
To solve for y, we need to isolate it.
18y-17=7
Let's start by adding 17 to both sides.
18y=24
Next, we can divide both sides by 18.
y=24/18
Simplify.
y=4/3
the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4
Answers
Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?
Answers
Answer:
Step-by-step explanation:
The formula for a perimeter of a rectangle = 2(L+B)
= 2L+2B
Where L and B are length and breadth respectively.
The question says ;
2cm = 2(L+B)
2cm = 2L+2B
Divide both sides by 2
1 = L+B
If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm
When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm
Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $45. At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the cost to be the same at both stores?
Margo must buy ____ tiles for the cost to be the same at both stores.
Answers
Answer:
She must buy 90 tiles for the cost to be the same at both stores
Step-by-step explanation:
Let x be the no. of tiles bought for the cost to be the same at both stores
Margo can purchase tile at a store for $0.89 per tile at shop 1
Cost of x tiles =0.89x
She rent a tile saw for $45.
So, total cost at Store 1 = 0.89x+45
At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile.
So, cost of 1 tile = 1.39
Cost of x tiles = 1.39x
ATQ
0.89x+45=1.39x
45=1.39x-0.89x
45=0.5x
[tex]\frac{45}{0.5}=x[/tex]
90=x
Hence She must buy 90 tiles for the cost to be the same at both stores
someone plz help it looks easy but I dont understand
Answers
Answer:
Step-by-step explanation:
(√8)²=8,2²+2²=8
√8→2 units,2 units
(√7)²=7,(√5)²+(√2)²=5+2=7
√7→√5 units,√2 units
(√5)²=5,2²+1²=5
√5→2 units ,1 unit
3²=9,2²+(√5)²=9
3→2 units,√5 units.
Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x
Answers
Answer:
y=5/3x
Step-by-step explanation:
The equation can be used to represent y = (5/3)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.
Since the water continues to flow at the same rate.
Using represent the number of gallons, y, that flow through the faucet in x
In 3 minutes, 5 gallons of water come out of a faucet.
So the equation can be used to represent y = (5/3)x
Learn more about the equation here:
brainly.com/question/10413253
#SPJ6
Jamal and Cleo mow lawns together, Jamal can mow an average lawn in 60 minutes by
himself. Cleo would take 90 minutes for the same job. How long would it take both of
them together to mow one (1) lawn
Answers
Hope this helps
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:
Opinion A: Improving the healthcare system is more important than improving the education system.
Opinion B: Improving the education system is more important than improving the healthcare system.
Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."
The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."
Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)
Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)
Answers
Answer:
A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B
= (0.51, 0.57)
This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)
B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Step-by-step explanation:
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.
Critical value = 2.33
Standard error = σₓ = √[p(1-p)/n]
p = sample proportion = 0.54
n = sample size = 1500
σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287
98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.54 ± (2.33 × 0.01287)
CI = 0.54 ± 0.02998)
98% CI = (0.51, 0.57)
98% Confidence interval = (0.51, 0.57)
B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?
For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;
- The sample data must have been obtained using a random sampling technique.
- The sampling distribution must be normal or approximately normal.
- The variables of the sample data must be independent of each other.
On the second point, the condition for a binomial distribution to approximate a normal distribution is that
np ≥ 10
and n(1-p) ≥ 10
The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.
For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Hope this Helps!!!
I need help with these plzzz
Answers
Answer:
1. C 2. B
Step-by-step explanation:
1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section
2. The actual value of x is 33.2
So I plugged in that value for all of them
EMERGENCY!!!! EXTRA POINTS! I HAVE POSTED THIS QUESTION 5 TIMES AND HAD TO REPORT ALL RESPONSES! I ACTUALLY NEED HELP!
The amusement park in Riverdale charges a $10 entrance fee plus $1 per ride. The amusement park in Esterdamb charges a $5 entrance fee and $2 per ride. For how many rides will the cost be the same for both amusement parks? x= # of rides
Number of rides_____?
Cost_____?
Answers
Answer:
the price will be the same for either amusement park
Step-by-step explanation:
10+1(x)=?
5+2(x)=?
ex; x=5
10+1(5)= 5+2(5)=
10+5= 5+10=
15 15
Answer:
5 rides, cost of $15
Step-by-step explanation:
With the information given we have two expressions:
10 + 1x and 5 + 2x
Using these expressions we can create this equation:
10 + 1x = 5 + 2x
Knowing some information we can can simply analyze some information:
The closest number each of these equations could equal is 15,
1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15
15 = 15 this is a true statement, so we know this is answer
Hope this helps! Have a good day!
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.
Answer Choices:
A) an = 9 • 4n
B) an = 9 • (-4)n + 1
C) an = 9 • 4n - 1
D) an = 9 • (-4)n - 1
Answers
There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
Answers
Answer:
c
Step-by-step explanation:
The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Given:
The number of violet balls is 2.
The number of pink balls is 4.
To find:
The probability of getting violet first and pink next, if the first ball drawn is replaced.
Explanation:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Total number of balls is:
[tex]2+4=6[/tex]
The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].
The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].
The probability of getting violet first and pink next, if the first ball drawn is replaced is:
[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]
[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]
[tex]P=\dfrac{2}{9}[/tex]
Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Learn more:
https://brainly.com/question/15620045
Compare the ordered pairs of the pre-image to the
image to answer these questions.
Is the dilation an enlargement or reduction?
The point of dilation is about what coordinate?
What is the scale factor?
Pre-image
Answers
Answer: Reduction
(0,0)
1/3
Step-by-step explanation:
Answer:
1-reduction
2-(0,0)
3-1/3
Step-by-step explanation:
Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?
0.2
0.1
0.8
0.9
Answers
Answer:
0.8
Step-by-step explanation:
What is the distance between points A(13, 2) and B(7, 10)
Answers
Answer:
distance = sqrt((x2-x1)^2 + (y2-y1))
distance = sqrt((7-13)^2 + (10-2)^2)
distance = sqrt( -6^2 + 8^2)
distance = sqrt(36+64)
distance = 10
Step-by-step explanation:
Answer:
10 units
Step-by-step explanation:
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
d = [tex]\sqrt{(13 - 7)^2 + (2 - 10)^2}[/tex]
d = [tex]\sqrt{(6)^2 + (-8)^2}[/tex]
d = [tex]\sqrt{36 + 64}[/tex]
d = [tex]\sqrt{100}[/tex]
d = 10 units
Georgianna wants to use the linear model associated with the data in the table to make a prediction.
A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 5, 10, 15, 30. The second column is labeled distance (miles) with entries 0, 4, 9, 13, 18.
Which range of time values describes the entire interval over which she would be interpolating?
0 to 5 minutes
0 to 18 minutes
0 to 30 minutes
18 to 30 minutes
Answers
Answer:
0 to 30 minutes on edg.
Step-by-step explanation:
Answer:
c on e 2020
Step-by-step explanation:
what is the 7th term in the sequence 48,40, 32, 24,
Answers
Answer:
0
Step-by-step explanation:
Take the second term and subtract the first term
40-48 = -8
Take the third term and subtract the second term
32-40 = -8
The common difference is -8
We have the 4th term
24
The fifth term is
24-8 = 16
The sixth term is 16-8 = 8
The seventh term is 8-8 =0
Answer: 16
Step-by-step explanation:
The answer is 16 because you are going down by 8s
pls helllllllllllllp
Answers
Answer:
40
Step-by-step explanation:
24 divided by = 8
8 times 5 = 40
can i have brainliest please
Answer:
40
Step-by-step explanation:
there is a 5 to 3 ratio for ice cream cones to brownies
ice cream: brownies
5:3
x:24
three times eight is 24
five times eight is 40
Determine if the question posed is a statistical question (yes) or not (no). What is 2 plus 2?
Answers
Answer:yes?
Step-by-step explanation:
it has #s in it lol
Answer:
no it isnt
Step-by-step explanation:
an isosceles trapezoid is a trapezoid with congruent legs. true or false?
Answers
Answer:
true
Step-by-step explanation:
If a trapezoid has congruent legs, it is an isosceles trapezoid.
Hope this helps.
It is true, that an isosceles trapezoid is a trapezoid with congruent legs.
A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.
What is geometry?It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.
Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.
Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.
Learn more about geometry here:
https://brainly.com/question/11298860
#SPJ5
Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simultaneously at 12 noon? Hint: 60 minutes = 1 hour
Answers
Answer:
They will sound together at 2pm
Step-by-step explanation:
Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.
To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40
The lowest common multiple between both is 120
This means that the two gongs will sound together at exactly 120 minutes
Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours
Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm
how much money does ron have each month
Answers
Answer:
after paying all expenses Ron will have $10 leftover each month.
Answer:
10 on edge
Step-by-step explanation:
Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100
Answers
Answer:
B and C
Step-by-step explanation:
25% of 64 is 16. So find the two answers that are equivalent to 16.
A: 25*64 = 1600 [tex]\neq[/tex] 16
B: [tex]\frac{25}{100}[/tex]*64 = 16
C: 0.25 * 64 = 16
D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16
E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16
Answer:
its b and c. had the same problem.
The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
A. 147 pi = one-third (7) (h) squared
B. 147 pi = one-third pi (7 squared) (h)
C. 147 pi = one-third pi h
D. 147 pi = one-third pi (7) (h)
Answers
Answer:
B
Step-by-step explanation:
Volume = ⅓ pi × r² × h
147pi = ⅓ × pi × 7² × h
Step-by-step explanation:
Step 1: Find the expression that can be used to find h
[tex]V = \pi * r^2 * \frac{h}{3}[/tex]
[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]
[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]
147 pi = one-third pi (7 squared) (h)
Answer: Option B
What is the values of x?
Answers
X = 4
Answer:Answer is 4
15x-5+125=180°
15x=60
x=4
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..
Given that x+1 is a factor of 2x^3-3x^2-8x-3 , solve 2x^3-3x^2-8x-3=0. This means find all the roots for the function.
Answers
Answer:
x=-1, -1/2, 3
Step-by-step explanation:
Find two numbers, if their sum is 49 and their difference is 1/2 .
Answers
Answer:
[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]
Step-by-step explanation:
Let the two numbers be x and y
So we have:
[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]
using the elimination method, add the two equations together:
[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]
solve for x:
[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]
substitute our value for x back into the first equation we made:
[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]
therefore,
[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]
