Answer:
so lets get the cones volume first the formula for a cone is V=πr2/3
so V=πr2h
3=π·22·3
3≈12.56637
and then the height of the cylinder is 4
Step-by-step explanation:
Given Angle 1 =xº and angle 2 = (x +50)°.
Find the value of x. Then find angle 1 and 2
Answer:
x=65
Angle 1=65
Angle 2=115
Step-by-step explanation:
We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.
A plane flies against the wind 288 miles from Los Angeles to San Jose and then returns home with the same wind. The wind speed is 60 mph. If the total flying time was 2 hours, what is the speed of the plane?
Answer:
The speed of the airplane is 300 miles per hour.
Step-by-step explanation:
Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:
[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)
Where:
[tex]t[/tex] - Total time, in hours.
[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.
[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.
[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.
Then, we proceed to simplify the formula and clear the speed of the plane in still air:
[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]
[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]
[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]
Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:
[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]
The two roots associated with this polynomial are, respectively:
[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]
Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.
In a nutshell, the speed of the airplane is 300 miles per hour.
What is the solution to 9 x 9?
Answer:
81
Step-by-step explanation:
dude, it's one of the fast facts
Answer:
81
Step-by-step explanation:
We can round one of the 9's to ten then multiply it
9*10=90
then subtract the 9 that we added
90-9=81
find the length of x
help please i need it asap
Step-by-step explanation:
[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]
#CMIIWA local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?
Answer:
156.00
Step-by-step explanation:take away 8% sales tax away from it
If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
and as paid a weekly salary of $452 plus a commission of .9% on sales
between $15,000 and $25,000, with 1.1% paid on sales in excess of
$25,000, no commission is paid on the first $15,000, what is his gross
earning?
____________________
Answer:
the equation for that line would be y=0
Step-by-step explanation:
The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)
Find the exponential function that contains the points (0,5) and (2,20)
I need to know what one to pick I will send an image to go with it
Answer: um do you need help because I don’t see the question or the picture you are talking about..
Step-by-step explanation:
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
DONT SCAM ME WITH A LINK
Answer: 2
600/3 = 200 meaning that each gallon of paint covers 200 sq ft
Help on this math question. 25 points.
Answer:
the third one
Step-by-step explanation:
Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility
Answer: D
Step-by-step explanation:
Fits the definition
Find 110.9% of 133. Round to the nearest hundredth.
Answer:
147.50
Step-by-step explanation:
It is easy to set up the equation as a “butterfly”
x/133 = 110.9/100
cross multiply:
133(110.9)=100x
14749.7=100x ————-divide by 100 to get x alone
147.497 which would round to 147.50
Answer:
147.50
Step-by-step explanation:
BIG BRAIN AND MENTAL MATH
If ∠X and ∠Z are complementary, and the measure of ∠Z is 45°, what is the measure of ∠X?
Answer:
The measure of ∠X is 45°.
Step-by-step explanation:
Complementary angles are two angles that have a sum of 90°.
I subtracted 45 from 90 (90-45) and got 45°.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
(a) ∠HIK and ∠GFD
Step-by-step explanation:
In this geometry, there are only two pairs of alternate exterior angles:
∠HIK and ∠GFD
∠JIK and ∠EFD
Of these, only the first pair is among the answer choices.
__
Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample values, x_ = 33.2hg, and s = 2.9 hg?
Answer:
Step-by-step explanation:
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level.
The confidence interval of mean
=32.9 ± 1.96 × 6.9/250
Confidence Interval = 32.9 ± 0.5382
5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?
Answer:
40 children went on the cruise.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:
[tex]22x + 10y = 774[/tex]
Since [tex]x = 57 - y[/tex]
[tex]22(57 - y) + 10y = 774[/tex]
[tex]1254 - 22y + 10y = 774[/tex]
[tex]12y = 480[/tex]
[tex]y = \frac{480}{12}[/tex]
[tex]y = 40[/tex]
40 children went on the cruise.
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slash
mark ( / ) for the fraction bar.
(-1,5) (5,5)
Answer:
(2,5)
Step-by-step explanation:
(Xm, Ym)= ( (x1+x2)/2, (y1+y2)/2 )
= (5 + (-1))/ 2, (5+5)/2
= (4)/2, (10)/2
= 2, 5
Anyone know the answer?
Answer:
12.4
Step-by-step explanation:
\Ih -what is the square root of 14161
Answer:
The answer is 119
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
There is a reason why the answer is 119
First, lets take a look at your perfect squares chart ( by tens )
10 x 10 = 100
20 x 20 = 400
30 x 30 = 900
40 x 40 = 1600
50 x 50 = 2500
60 x 60 = 3600
70 x 70 = 4900
80 x 80 = 6400
90 x 90 = 8100
100 x 100 = 10000
110 x 110 = 12100
120 x 120 = 14400
we know that 12100 < 14161 < 14400, so it has to be in between the square root of 110 and the square root of 120
111 x 111 = 12321
112 x 112 = 12544
113 x 113 = 12769
114 x 114 = 12996
115 x 115 = 13225
116 x 116 = 13456
117 x 117 = 13689
118 x 118 = 13924
119 x 119 = 14161
We found out that the square root of 119 = 14161
Therefore, the square root of 119 = 14161
If you want to find out a quicker way to do this, comment me below
Find 0% of 200:
Find 100% of 200:
Find 50% of 200:
Find 25% of 200:
Find 75% of 200:
Answer:
0
200
100
50
150
Step-by-step explanation:
0% of 200 = 0
100% of 200
= ( 100 / 100 ) x 200
= 1 x 200
= 200
50% of 200
= ( 100% of 200 ) / 2
= 200 / 2
= 100
25% of 200
= ( 50% of 200 ) / 2
= 100 / 2
= 50
75% of 200
= ( 75 / 100 ) x 200
= ( 75 x 200 ) / 100
= 75 x 2
= 150
help again . ill give you 15 points.
Using 3.14 for , what is the volume of the cylinder?
O A. 21.771 cubic meters
O B. 32.656 cubic meters
O C. 65.312 cubic meters
O D. 169.811 cubic meters
Remy has 4 monster trucks, 3 fire trucks, 1 ambulance, and 2 taxis he will randomly choose one from his toy box
What is the probability that remy will choose a taxi?
A 1/10 b 1/5 c 2/4 D 1/3
Answer:
Your answer should be A forgive me if i am wrong.
Step-by-step explanation:
PLEASE HELP ME :C ...
Answer:
B) a²-(2*4)
Step-by-step explanation:
Since we are looking for the gray area only, we need to find the total area of the figure, but subtract that from the area of the unshaded area.
The total area of the figure is a*a=a²
The area of the unshaded figure is 2*4=8 units^2
This means the gray area is a²-(2*4) units^2, making B correct
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence
Answer:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent
✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …
How do you know if a number is rational irrational or not real number
Answer:
A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.
Step-by-step explanation:
I hope this helped you!
If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please
Answer:
D) 18a
Step-by-step explanation:
y - x
= 4x - x (plug y = 4x)
= 3x
= 3(2z) (plug x = 2z)
= 6z
= 6(3a) (plug z = 3a)
= 18a
An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms
Answer:
The % of women above 50 having mammograms as devised from the survey is 70%.
Step-by-step explanation:
Given
60% of women older than age 50 have annual mammograms
Out of 1000 surveyed women of age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms
The % of women above 50 having mammograms as devised from the survey is 70%.