Answer:
See belowStep-by-step explanation:
For the shown triangle we use the tangent of 60° angle to find the value of x:
tan = opposite / adjacenttan 60° = x/14√3 = x / 14x = 14√3Angle A and 60° are complementary.
The measure of angle A:
m∠A = 90° - 60° = 30°Step-by-step explanation:
[tex] \tan(60) = \frac{x}{14} \\ \\ \sqrt{3} = \frac{x}{14} \\ \\ x = \sqrt[14]{3} [/tex]
the measure of angel A
m < a = 90-60 = 30
Is this proportional?
y = 7x + 3
Answer:
This equation is NOT proportional
Step-by-step explanation:
A proportional version of this equation would be Y=7x
What are the odds against choosing a blue or green marble from a bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles?
5:14
3:14
3:11
11:3
B. 3:14
Hope that helped:)
3.
Is the relationship shown by the data linear? If so, model the data with an equation.
x
y
–9
–2
–5
–7
–1
–12
3
–17
A. The relationship is not linear.
B. The relationship is linear; y + 9 = -4/5 (x + 2).
C. The relationship is linear; y + 2 = -5/4 (x + 9).
D. The relationship is linear; y + 2 = 4/5 (x + 9).
Answer:
C. The relationship is linear; y + 2 = (-5/4)x - 11.25
Step-by-step explanation:
If the relationship f is linear then its graph is a line D of equation y = ax+b
(-9 ,-2)∈D ⇔ -2 = -9a + b (1)
(-5 , -7)∈D ⇔ -7 = -5a + b (2)
(2)-(1)⇒ -5 = 4a ⇒ a = -5/4
-2 = -9a + b ⇒ -2 = -9(-5/4) + b ⇒ 2 +45/4 = -b ⇒ b = -13.25
then
D : y = (-5/4)x - 13.25 ⇒ y + 2 = (-5/4)x - 11.25
since (-1,-12) and (3,-17) are points of D (easy to check)
then it’s a linear relationship
Whoever solves this question will get brainliest. Please answer quickly
Answer:
x<-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x-5/2<-5
divide x-5 by 2
1/2x-2.5<-5
factor out the -2.5 by adding it to both sides
1/2x< -2.5
divide both sides by 1/2
x=-1.25
Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z < −0.38
The area of the indicated region of the standard normal distribution is 0.3520.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
From the normal distribution table, the region where z < −0.38 = P(z < -0.38) = 0.3520
Find out more at: https://brainly.com/question/15016913
[tex]\frac{5}{\sqrt{2} }[/tex]
Answer:yesStep-by-step explanation:
yes
An inspector at a cell phone factory inspects 120 phones each hour. Write an equation that shows the relationship between the number of hours the inspector works, x, and the number of phones inspected, y.
Answer:
y=120x
Step-by-step explanation
i got it right
Help please, I only have 1 attempt left so I have to get it right.
30 points
I can't tell if its AAS or ASA
Answer:
Its ASA!
Step-by-step explanation:
The intensity of light from a light source vaties inversely as the square of the distance from the source. If the intensity of a light bulb is 48 lumen/m 2 (lux) at a
distance of 5 m, determine the intensity at 4 m.
Help plz
Answer:
75 luxStep-by-step explanation:
Let the intensity is y and the distance is x.
Their relationship is:
y = k / x², where k is the coefficient of proportionalityLet's substitute given values and find the value of k:
48 = k/5²k = 48*25k = 1200Our equation becomes:
y = 1200/x²Now find the value of y when x = 4:
y = 1200/4²y = 1200/16y = 75A football team charges $30 per ticket and averages 20,000 people per game. Each person spend an average of $8 on concessions.For everydrop of $1 in price,the attendance rises by 800 people.What ticket price should the team charge to maximize total revenue? Calculate the TR max.
The ticket price that would maximize the total revenue would be $ 23.
Given that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:
20,000 x 30 + 20,000 x 8 = 760,000 24,000 x 25 + 24,000 x 8 = 792,000 28,000 x 20 + 28,000 x 8 = 784,000 26,000 x 22.5 + 26,000 x 8 = 793,000 27,200 x 21 + 27,200 x 8 = 788,000 26,400 x 22 + 26,400 x 8 = 792,000 25,600 x 23 + 25,600 x 8 = 793,600 24,800 x 24 + 24,600 x 8 = 792,000
Therefore, the ticket price that would maximize the total revenue would be $ 23.
Learn more in https://brainly.com/question/7271015
A piece of cloth is 12 yards in length. if 3/4 of the cloth is used for bedsheet, how many yards of the cloth will be left?
Answer:
9 yards
Step-by-step explanation:
multiply the length of the cloth by the length used for bedsheet
[tex]12*\frac{3}{4}\\9 yards[/tex]
10 points Solve for x
[tex]2+x\ \textgreater \ 33+3x[/tex]
Answer:
[tex]x<-\frac{31}{2}[/tex]
Step-by-step explanation:
125x^3-27 factor polynomials
Answer:
The answer is (5x - 3) (25x² + 15x + 9)
Step-by-step explanation:
125x³ - 27
5 × 5 × 5 × x × x × x - 3 × 3 × 3
Rewrite 125x³ as (5x)³.
(5x)³ - 27
Rewrite 27 as (3)³.
(5x)³ - (3)³
Here, Both terms are perfect cubes, factor using the difference of cube formula,
a³ - b³ = (a - b) (a² + ab + b²)
where,
a = 5x
b = 3
Now,
(5x - 3) [(5x)² + (5x)(3) + (3)²]
Now, Simplify
(5x - 3) (25x² + 15x + 9)
Thus, The answer is (5x - 3) (25x² + 15x + 9)
-TheUnknownScientist 72
FIND Y
PLEASE HELP ILL GIVE BRAINLIESTTTT :))
Answer:
y = 22
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the lower triangle and equate to 180°
∠ 1 + 19° + 41° = 180°
∠ 1 + 60° = 180° ( subtract 60° from both sides )
∠ 1 = 120°
∠ 1 and ∠ 2 are vertically opposite angles and are congruent , so
∠ 2 = 120°
Sum the angles in the upper triangle and equate to 180
y + 120 + 38 = 180
y + 158 = 180 ( subtract 158 from both sides )
y = 22
Please help me please explain this to me please
Thanks
Answer:
B- 20
D- no solutions
Step-by-step explanation:
Cuz its light work lol
Answer:
For the first question, the answer is x=20 so the answer is B
For the second I don't know, sorry :(
Step-by-step explanation:
25 points! What is the exact value of sin (165)?
Answer: 0.2588
Step-by-step explanation:
need help pleasssss
Answer:
Polynomial Degree: 6 Leading Term: 7y^6 Leading Coefficient: 7
Step-by-step explanation:
Thank me later
do we have to multiply???
Answer:
6
Step-by-step explanation:
mulyiplying is for finding out the area
What is a reasonable estimate for 786 x 217?
Answer:
160,000
Step-by-step explanation:
Estimations like this usually involve rounding to easy numbers to multiply. You could do this in a number of ways depending on your ability to keep track of factors in your head, but the easiest way (and what I assume your teacher is looking for) is to round to the nearest, largest-power-of-ten, which in this case is the hundreds. 786 is closest to 800, and 217 is closest to 200, and 200*800 is 160,000. No calculator required is the key. You can also be slightly more sure that this is reasonable because you rounded up for one and down for the other, approximately by the same amount, too.
0.01 times 100
Please help
ASAP
Answer:
1.
Step-by-step explanation:
0.01x100.
think of it as a decimal turning into a percent. it will be 1
Please Help me
I really need to get this problem right!
Answer:
8
Step-by-step explanation:
You can set up a proportion to find your missing side.
Let x be the missing side.
[tex]\frac{12}{x} =\frac{18}{12}[/tex]
Cross multiply and solve for x.
144= 18x
8=x
Answer:
8 mm
Step-by-step explanation:
[tex]\frac{12}{18} = {?}{12} \\\\ 18×? = 144 \\\ ? = \frac{144}{18} \\\\ ? = 8[/tex]
I hope I've helped you.
what is
3.614 in expanded form
Answer:
3 + 0.6 + 0.01 + 0.004
which expression is NOT equivalent to 2q + 24?
A). 2 • q + 2 • 12
B). 2(q + 12)
C) (2q • 20) + 4
D). (12 + q) • 2
Answer:
C
Step-by-step explanation:
2q.20+4= 40q+4 not equivalent to 2q+24
Jane Rose’s semimonthly salary is $750. Her yearly salary is A.$9000 B. $12,500 C. $18,000 D. $19,500 E. $21,000
Answer:
Her yearly salary is $18,000 (c)
What is m∠SVT?
Enter your answer in the box.
m∠SVT=
Answer:
m∠SVT = 79
Step-by-step explanation:
8y-33 = 5y+9
y = 14
5(14)+9 = 79
I hope this helps!
21. Window Side Length A stained-glass window in a church is in the shape of a rhombus. The
perimeter of the rhombus is 7 times the length of a side in meters, decreased by 12. Find the
length of a side of the window.
Answer:
length = 4
Step-by-step explanation:
A rhombus has four equal sides so the perimeter equals 4 sides.
Let x = length of a side
Perimeter of the rhombus is 7 times the length of the side decreased by 12
4x = 7x - 12
-4x = -4x
0 = 3x - 12
+12 = +12
12 = 3x
12/3 = 3/3x
4 = x
mark has a board that is 12 feet long he cuts into 8 pieces how long is each piece
Answer:
1.5 Feet
Step-by-step explanation:
Answer:
3 ft
Step-by-step explanation:
Divide 12 ft by 8 pieces.
12 ÷ 8 = 3
pls help i will mark the brainlyest The difference between two whole numbers is 8. Twice the smaller number is 4 more than the larger number.
What is the smaller number?
Enter your answer in the box.
smaller number =
Answer:
Step-by-step explanation:
x - y = 8
2*y = x + 4 Reverse the equation
x + 4= 2y Subtract 4 from both sides
x = 2y - 4
Put that value for x in the first equation
2y - 4 - y = 8 Combine like terms on the ledt
y - 4 = 8 Add 4 to both sides
y = 8 + 4
y = 12
x - y = 8
x - 12 = 8 Add 12 to both sides
x = 8 + 12
x = 20
A consumer group wishes to estimate the proportion of adult Twitter users that get at least some news on Twitter. A poll is conducted and it is found that from a SRS of 1251 adult Twitter users, 641 of them get at least some news on Twitter.
2b) What is the 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter. Round to 4 decimal places.
Applying the steps to find the confidence interval of a proportion, it is found that the 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter is (0.4892, 0.5356).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
From a SRS of 1251 adult Twitter users, 641 of them get at least some news on Twitter, hence:
[tex]n = 1251, \pi = \frac{641}{1251} = 0.5124[/tex]
90% confidence level
So [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124(0.4876)}{1251}} = 0.4892[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124(0.4876)}{1251}} = 0.5356[/tex]
The 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter is (0.4892, 0.5356).
A similar problem is given at https://brainly.com/question/16807970
Question 6 Distance = 90 km, Time = 1 hour 30 minutes, speed = ? km/h = Question 10 please help
Answer:
60km/h
Step-by-step explanation:
90 ÷ 1.5
= 60
60 km/h