Answer:
x = 36√2
Step-by-step explanation:
Reference angle = 30°
Side length opposite to 30° = 12√6
Adjacent length = x
Apply TO A to find x.
Tan 30° = Opp/Adj
Tan 30° = 12√6/x
multiply both sides by x
x*Tan 30° = 12√6
Divide both sides by Tan 30°
x = (12√6)/Tan 30°
x = (12√6)/(1/√3) (tan 30° = 1/√3)
x = (12√6) × (√3/1)
x = 12√18
x = 12√(9*2)
x = 12*3√2
x = 36√2
Measurements of a Circle
(Giving correct answer brainliest) 10+ points
Answer:
C. [tex] 2\pi[/tex]
Step-by-step explanation:
Central angle [tex] ( \theta) = \frac{\pi}{2} = 90\degree[/tex]
Radius (r) = 4
[tex] l(\widehat{EF}) = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = \frac{90 \degree}{360 \degree} \times 2\pi(4) \\ \\ = \frac{1}{4} \times 2\pi(4) \\ \\ l(\widehat{EF}) = 2\pi[/tex]
a duck dove 72 times in 12 hours. At this rate, the duck will dive ______ times in 3 hours
Plzzz help fast I need the answer
Answer: (The first number are the years and the second are the amount of Komodo's) (0, 0) (1, 4) (2, 20) (3, 100) (4, 500) (5, 2,500)
Step-by-step explanation:
If there are 4 Komodo's in the first year because that's when they moved in, then there would be zero in the 0 year.
If they keep multiplying their population by 5 each year then for every year, you would multiply the existing population of that year by 5
Starting at year 1 which is (1, 4) multiply that by 5 to get 20 and so on to get the function.
I hope this helps!
Without using a calculator, match each expression to the correct point.
Answer:
The locations of each irrational number are the following:
[tex]\sqrt{16}[/tex] - Point [tex]a[/tex]
[tex]\sqrt{27}[/tex] - Point [tex]b[/tex]
[tex]\sqrt{32}[/tex] - Point [tex]c[/tex]
Step-by-step explanation:
[tex]\sqrt{16}[/tex] is an irrational number that is also rational, since [tex]4^{2} = 16[/tex]. Then, [tex]\sqrt{16}[/tex] must be point [tex]a[/tex].
Both [tex]\sqrt{27}[/tex] and [tex]\sqrt{32}[/tex] are greater than [tex]\sqrt{25} = 5[/tex] and less than [tex]\sqrt{36} = 6[/tex]. Then, both are between 5 and 6. Since [tex]\sqrt{27} < \sqrt{32}[/tex], [tex]\sqrt{27}[/tex] must be point [tex]b[/tex] and [tex]\sqrt{32}[/tex] must be point [tex]c[/tex].
is this right? Please tell me....
Answer:
yes
Step-by-step explanation:
Answer:
YES IT IS!!
Step-by-step explanation:
!!
A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only .9 hours. What is the plane's speed in still air, and how fast is the wind blowing?
Answer:
90 mi/h
Step-by-step explanation:
Calculate speed, distance, or time using the formula d = st, distance equals speed times time. The Speed Distance Time Calculator can solve for the unknown sdt value given two known values.
Time can be entered or solved for in units of seconds (s), minutes (min), hours (hr), or hours and minutes and seconds (hh:mm:ss).
To solve for distance use the formula for distance d = st, or distance equals speed times time.
distance = speed x time
Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.
distance = rate x time
To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.
speed = distance/time
To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
time = distance/speed
Plane speed in still air: 120mph
Wind speed: 30pmh
Speed of plane to Bismarck: 90mph
Speed of plane to Fargo: 150mph
Roddy adjusts his simulation, making it easier and easier to win. Eventually, he finds that if the random numbers are between 1 and 4, and the contest only runs for 4 days, about 39 out of 10,000 people are likely to win (by getting 4,4,4,4).
He runs this simulation repeatedly to be sure and then sets aside 39 concert tickets, plus a few more to be safe.
When the contest is launched into the real world, though, what factors might affect the actual number of winners? Select all that apply.
The random chance of the number generator
People who get a 1 and then stop playing the game
The number of people who participate in the game
The results of his simulated trials
People who get a few 4s and then stop playing the game
Answer:
Option A, B, C and D should be your answer.
Step-by-step explanation:
I'm sorry if my answers are wrong.
ILL GIVE BRAINLEST, find the value of x
Answer:
in my panies
Step-by-step explanation:
Solve for X. Assume that lines which appear to be diameters are actual diameters. Show work pls.
9514 1404 393
Answer:
x = -6
Step-by-step explanation:
The three marked angles total 180°, the number of degrees in a semicircle.
(x +51) +65 +70 = 180
x = 180 -186 = -6 . . . . . . . . subtract 186 and simplify
The value of x is -6.
Sam and you are going to paint your room together.
Sam takes 10 minutes to paint 25 square feet.
It takes you 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take 15 minutes for us to cover
feet."
TI
of
Give an explanation to convince Sam that she is incorrect.
.
Answer:
Sam is incorrect because you would not add the two times together. Hence there being 2 people working it would take you guys less time. You would actually subtract the times to get 5 minutes
Step-by-step explanation:
Answer:
Sam 's thinking is incorrect.
Step-by-step explanation:
Because If Sam takes 10 minutes to paint 25 square feet, then 5 minutes will be paint 12.5 sf... So if 15 minutes will paint 37.5 square feet. (by Sam)
---For me: if 5 mutes to paint 25 square feet.--->10 minutes will be 50 sf---> then 15 minutes will paint 75 square feet...
So If Same and I paint together will be 12.5 + 75 = 112.5 square feet
---Not 50 square feet...
What Sam says is incorrect....He can't add times together., that' s wrong.
b. What is the probability that Teresa will pick a tile with a vowel (A, E, I, O, U) on it?
Answer:
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Step-by-step explanation:
Point Z is a centroid of the triangle VWY. If VZ = 42 cm, what is VX?
63 cm
28 cm
21 cm
84 cm
Answer:
63 cm
Step-by-step explanation:
VZ = 42cm
ZX = 21
42/2= 21
What is 42 + 21 ?
There you go, you have your answer!
VX = 63cm
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
If Z is the centroid of the triangle VWY
VZ = ZX
VX = VZ + ZX
The value of VX is 84 cm.
Option D is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Point Z is a centroid of the triangle VWY.
VZ = 42 cm
Now,
Centroid means,
VZ = 42 cm
VZ = ZX
VX = VZ + ZX
VX = 42 + 42 = 84 cm
Thus,
The value of VX is 84 cm.
Option D is the correct answer.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Evaluate the following expression.
6^-3
Answer:
.0046, if you mean the -3 to be an exponent
Step-by-step explanation:
Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
If you have any questions feel free to ask in the comments
What is the equation of the line that passes through the point (3,4) and has a slope of zero
Answer:
y = 4
Step-by-step explanation:
6 x (4 + 2 x 4) + 10
Hurry need help
Is the equation linear or quadratic?
t(x)=x+5
O A. linear
O B. quadratic
Answer:
A. Linear
Step-by-step explanation:
The equation ([tex]t(x)=x+5[/tex]) is a linear equation. As per its definition, a linear equation is an equation where all terms are to the first degree, meaning that none of the terms have an exponent. The equation, ([tex]t(x)=x+5[/tex]) falls under this category, as none of its terms has an exponent, therefore, the equation is a linear equation.
Hi answer as fast as you
it just says hi answer as fast as you where is the question
1.5 x 0.3 =
i’m desperate pls answer-
Answer:
45
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
A large pizza has a radius of 7 in. The pizza is cut into 8 slices of equal size. What is the area of 1 slice, rounded to the nearest whole number? Use 3.14 for π.
Answer:
The area of 1 slice is of 19 square inches.
Step-by-step explanation:
Area of a circle:
The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
A large pizza has a radius of 7 in.
So its area of the pizza, in square inches, is of:
[tex]A = \pi(7)^2 = 49\pi = 49*3.14 = 153.86[/tex]
The pizza is cut into 8 slices of equal size. What is the area of 1 slice, rounded to the nearest whole number?
Area of the pizza divided by 8. So
153.86/8 = 19.2
Rounding to the nearest whole number, the area of 1 slice is of 19 square inches.
an equation in algebra with b=2 s=6
Answer:
Assuming you want to make an equation.
s = b + 4
b + s = 8
Determine the value of a.
Question 16 options:
A)
10
B)
6
C)
7
D)
70
Answer:
C) 7
Step-by-step explanation:
a/7 = 10/10
a = 7
Answer:
B. Because 7 would be too big just as 70 soo it would be some where between 0-6 :)
Step-by-step explanation:
Which of the following is a ray as shown in the drawing?
A model car has a length of 10 inches. If the model was built using a scale factor of 1 in : 15 ft, what is the length of the care in feet
A А
15 ft
B
150 ft
С
150 in
D
12.5 ft
Answer:
C) 150 ft
Step-by-step explanation:
10 x 15 = 150
i need help with this pls 9.1k=63.7
Answer:
k = 7
Step-by-step explanation:
63 ÷ 9 = 7
Solve 1/2cot(x)>=1/2 over 0<=x<=2pi
9514 1404 393
Answer:
(0, π/4] ∪ (π, 5π/4]
Step-by-step explanation:
Multiplying by 2 gives ...
cot(x) ≥ 1
The cotangent function decreases from ∞ to 1 in the domain (0, π/4], and again in the domain (π, 5π/4]. The solution is the union of these two intervals.
x ∈ (0, π/4] ∪ (π, 5π/4]
_____
(a, b] is interval notation for a < x ≤ b
Answer: B on edge
Step-by-step explanation:
6 is 30% of _________ .
Answer:20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let N be the number
"Is" in this case is =
"Of" means "multiply"
So we got
6 = .3N divide both sides by .3
6/.3 = 20
N=20
PLEASE HELP FAST NO LINKS!!
3/2 (x-6)= -3
Answer:
x= 4
hope this helps!
Answer: x=4
Step-by-step explanation:
−3×2 =−6 then − 6/3=−2 after that −2+6 which equals x=4
HOPED THIS HELPED :))
A and m Find the measure of the angles.
Answer:
x = 6
A = B = 87 degrees
Explanation
A = B
9x + 33 = 18x - 21
9x = 54
x = 6
Janice is rolling a fair number cube that is numbered 1 - 6. Which statement is true?
Answer:
Where r the statements?
Step-by-step explanation:
A random sample of 18 female neurologists and 21 male neurologists at public medical schools found that the average salary for female neurologists was $175,000 with a standard deviation of $15,000, while the average salary for male neurologists was $203,000 with a standard deviation of $22,000. Find a 99% confidence interval for the difference between the average salaries of male and female neurologists. (Round your answer to the nearest dollar.)
a) Write the formula that should be used to compute the interval.
b) Write the assumptions that need to be met in order to use the above formula.
c) Compute the interval.
Answer:
a) = x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
b) it is assumed that the population standard deviations are known (which is sometimes met and sometimes not known).
c) The Confidence interval = [ 19131.77, 36868.23]
Step-by-step explanation:
Part a:
The 99% confidence interval for the difference between the average salaries of male and female neurologists is given by
(x1`-x2`) ±t∝/2(υ)* √ ( Sp²/n₁ + Sp²/n₂)
= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where Sp ²= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
Part B:
1) the sample should be normally distributed
2) it is assumed that the population standard deviations are known (which is sometimes met and sometimes not known).
Part C:
Calculations
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ √ ( Sp²/n₁ + Sp²/n₂)
where
Sp ²= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
= 15,000²(17) + 22,000²(22) / 37
Sp ²= 103378640
3) D.f = n1+n2-2 =21+18-2 = 37
4) for 2 tailed test the critical value of t is obtained by
t≥ t∝/2 ( d.f)=t≥ t0.005 (37)= ±2.7154= ± 2.72
5) Putting the values
(x1`-x2`) ±t∝/2(υ)* √ ( sp²/n₁ + sp²/n₂)
28000 ± (2.72 * 3265.89)
=[ 19131.77, 36868.23].
The Confidence interval = [ 19131.77, 36868.23]