The surface area of the cylindrical flower pot to the nearest inch is equal to [tex]346\;in^2[/tex]
Given the following data:
Diameter = 10 inches.
Height = 6 inches.
Radius = [tex]\frac{diameter}{2} =\frac{10}{2}[/tex] = 5 inches.
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]S.A = 2\pi (5)(6) + 2\pi (5)^2\\\\S.A =188.52+157.1 \\\\S.A = 345.62\\\\S.A=346\;in^2[/tex]
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If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?
The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
Given that trigonometric ratio:
[tex]tan\theta = \frac{11}{60}[/tex]
What is the tangent of an angle?The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).
So, for the given problem
Opposite side to [tex]\theta[/tex] = 11
Adjacent side to [tex]\theta[/tex] = 60
So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]
[tex]cot\theta =\frac{60}{11}[/tex]
Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
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Answer:
60/11 is correct (option c)
Step-by-step explanation:
I just took the test
Of the students at Milton Middle School, 126 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?
The answer choices are:
A: 140
B: 210
C: 280
D: 350
Answer:
C
Step-by-step explanation:
[tex].45s = 126[/tex]
[tex]s = 280[/tex]
If you have 19 cups full of water and 45 gallons of water. what does the gallon equals to how many cups of water?
Answer:
45 divide by 19 =2 r 7 thanks
Volt Electronics sells a Y-Box game console for $207. The store markup on thr Y-Box is 38%. What was the wholesale price that the store paid for it?
The wholesale price that the store paid for the Y-Box game is $150.
What is the wholesale price?When the price of an item is marked up, it means that the price of the item was increased by a certain percentage. The good then becomes more expensive.
Wholesale price = selling price / ( 1 + percentage mark up)
$207 / (1+ 38)
$207 / (1.38) = $150
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The point (3, 4) is on a circle with a center (1, 4).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.
Check the picture below.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]
Find the equation of the line that is perpendicular to the line Y equals 4X and passes through the point -10, -6. Write the equation in point slope form
Answer:
y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x ← is in slope- intercept form
with slope m = 4
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then
y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is
y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)
Solve for x.
4=8x - 10y
Answer:
x= 1/2 + 5y/4Express as in Kg using decimals.
a) 12 g. b) 7 g.
c) 35 kg 15 g. d) 675 g
Answer:
a)0.012 kg
b)0.007kg
c)35.015kg
d)0.675kg
Step-by-step explanation:
please mark me as brainlest
A jeepney has an original speed of 30 m/s and a final speed of 40 m/s. Compute its
acceleration if the time of travel is 10 seconds.
Answer:
1 m/s/s.
Step-by-step explanation:
Acccelaration = rate of change of speed
= (40 - 30) /10
= 10/10
= 1 m/s/s.
Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received properly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price
Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
179 out of 523 members indicated they would buy the new product at the proposed price, hence:
[tex]\pi = \frac{179}{523} = 0.3423[/tex]
Then the bounds of the interval are found as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
40 POINTS HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
(w+9)+3 write an expression equivalent
Answer:
[tex]\displaystyle 12 + w[/tex]
Explanation:
Just combine like-terms to arrive at your answer:
[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]
I am joyous to assist you at any time.
A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?
Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
20,10,5, ...
Find the 9th term.
Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
a yard is equal in length to three feet
Answer:
if it takes yards and turns it into feet then it just multiplies it by 3
Step-by-step explanation:
(x+2)(x+7) Write in simplified form
Answer:
x^2+9x+14
Step-by-step explanation:
x×(x+7)+2×(x+7)
x^2+7x+2x +14
x^2+9x+14
Step-by-step explanation: Is (5, 5) a solution to the equation y=x ?
Answer:
Yes, (5,5) is a solution of y=x
Step-by-step explanation:
A point is given as a coordinate pair, (x,y). The first number is x and the second number is y. A solution is a pair of numbers that will make the equation true.
To check if the point is a solution, fill in the first number in place of x in the equation. Then fill in the second number for the y.
Here we have the equation:
y = x
Substituting (filling in) we get:
5 = 5 a true statement. So (5,5) IS a solution.
Alternatively, you could graph the equation and verify that the point is on the graph. see image.
A rocket is launched into the air. the projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. when will the rocket be 196 feet in the air? after 2.0 seconds after 3.5 seconds after 4.5 seconds after 7.0 seconds
The rocket will attain a height of 196 feet in 3.5 seconds. Then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
A rocket is launched into the air.
The projectile motion of the rocket can be modeled using
h(t) = 112t – 16t²
where t is the time since the launch in seconds and h(t) is the height of the rocket at time t.
The time required for the rocket to be 196 feet in the air. Then we have
112t – 16t² = 196
16t² – 112t + 196 = 0
4t² – 28t + 49 = 0
On factorization we have
4t² – 28t + 49 = 0
(2t)² – 28t + 7² = 0
(2t – 7)² = 0
2t – 7 = 0
t = 3.5
Thus, the rocket will attain a height of 196 feet in 3.5 seconds.
More about the factorization link is given below.
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Answer:
B. after 3.5 seconds
Step-by-step explanation:
i took the test
also:
196 = 112t - 16t²
-16t² + 112t - 196 = 0
4t² - 28t + 49 = 0
(2t - 7)² = 0
2t - 7 = 0
t = 7/2 = 3.5 sec
Match the vocabulary word with the correct definition.
1. answer choice 3
2. answer choice 2
3. answer choice 1
4. answer choice 4
5. answer choice 5
Answer:
1. the answer choice 3
2. the answer choice 2
3. the answer choice 1
4. the answer choice 4
5. the answer choice 5
Step-by-step explanation:
A department store receives a shipment of 3 boxes of glass ornaments. There are 25 ornaments in each box. Lucas opens the boxes and finds that 6 of the ornaments are broken. Based on this shipment, what prediction can Lucas make about the next shipment of ornaments?
F A delivery of 4 boxes will contain 4 more broken ornaments than a delivery of 3 boxes.
G A delivery of 5 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
H A delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
J A delivery of 7 boxes will contain 10 more broken ornaments than a delivery of 3 boxes.
Answer:
the next shipment of ornaments are 16
A manufacturer packages coffee beans in 50 kg
cartons with an allowable error of 0.7%
. what is the acceptable weight range for a carton of coffee beans?
select the answers from the drop-down lists to correctly complete the sentence.
the acceptable weight of the cartons ranges from kg
to kg
.
Answer:
49.65-50.35
Step-by-step explanation:
0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.
PLS HELP ME ASAP I WILL MARK THE BRAINIEST
Answer:
73°, 85°, 62°Step-by-step explanation:
#1Angle formed by two chords is half the sum of the intersepted arcs:
m∠HKI = m∠GKJ = 1/2(105 + 41) = 1/2(146) = 73°#2Angle formed outside by two tangents is half the difference of intercepted arcs:
1/2(55x - 17x) = 9538x = 190x = 190/38x = 5Find the arc measure:
mAC = 17x = 17*5 = 85°#3Angle formed outside by two secants is half the difference of intercepted arcs:
mBCD = 1/2(mAE - mDB) = 1/2(147 - 23) = 1/2(124) = 62°Katie took a plane to visit her grandparents for the summer. at the airport, she paid to check 3 bags. since all of her bags were over the weight limit, she had to pay an additional $6 fee for each bag. katie paid a total of $102 to check her bags.
which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?
Answer:
it costs $26 to check a bag that's under the weight limit
Step-by-step explanation:
she had to pay an additional $6 fee for each of the 3 bags.($18 in total)
x= each bag
3x +18 = 102
3x=84
x=26
Answer:It costs $28 for a bag that is under the weight limit.
Step-by-step explanation:
3(x+6) = 102
3x+ 18 = 1023x+18=102
3x = 843x=84
x = 28x=28
There is a population of 10,000 bacteria in a
colony. If the number of bacteria doubles every
260 hours, what will the population be 780
hours from now?
Answer:
80,000
Step-by-step explanation:
The population doubles every 260 hours. 260 goes into 780 three times.
10,000x2=20,000
20,000x2=40,000
40,000x2=80,000
Write down an inequality to describe each of these solution sets.
Answer:
(a) x<=2
(b) x>-2
(c) x>=10
(d) x<-20
order from least to greatest 4/5 9/10 1/3 7/8 i need hep fast
Answer:
Answer: 1/3, 4/5, 7/8, 9/10
Step-by-step explanation:
4/5 9/10 1/3 7/8
240
5*48=240 4*48=192 192/240
10*24=240 9*24=216 216/240
3*80=240 1*80=80 80/240
8*30=240 7*30=210 210/240
Answer:
option 1 (the basic)
Convert it into a common factor.
So everything in the denominator has to have a common multiple then we can compare from there.
You can either find every multiple here and then see which ones the same or multiply them all (not recommended)
so 120 is the common factor here.
I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.
8 here is the one I calculated.
My process:
8*5 = 40
40 doesnt go to 3
8*10 = 80
80 doesn’t go to 3
8*15 = 120
120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)
So 120 is the denominator.
Now we divide each to find the numerator now.
120/5 = 24
So we multiplieds 24 by 5 to get 120.
Thats the bottom, whatever we do on the bottom we do to the top.
So 4 * 24 is 96
96/120
Now lets fast forward
In the end you’d end up with in the order we began with
96/120 …(4/5)
108/ 120 …(9/10)
40/120 …(1/3)
105/120 …(7/8)
Now we put them in order from least to greatest in this case.
40/120 …(1/3)
96/120 …(4/5)
105/120 …(7/8)
108/120 …(9/10)
Your order would be
1/3
4/5
7/8
9/10
Option 2 (the decimal)
SO in this case you jsut convert them into a decimal then compare
This is relatively easier since its jsut basic division with decimal.
You do numerator divide by denominator.
4 ÷ 5 = 0.8
9 ÷ 10 = 0.9
1 ÷ 3 = 0.3333333…
7 ÷ 8 = 0.875
Now you just put them in order
0.2, 0.333…, 0.875, 0.9
Same order as before
1/3, 4/5, 7/8, 9/10
What is the area of this figure?
Answer:
56 im pretty sure not my level but if i did it right it should be but if it is wrong im sorry
Step-by-step explanation:
If the sum of the 8th & 9th terms of an arithmetic progression is 72 and the 4th term is -6. Find the common difference.
Answer:
Correct Answer: Option D
Step-by-step explanation:
9 1/3
hope that helps
Question 2
Help
Meeeeeeeeeeeeeee
Answer:
black screen
Step-by-step explanation:
this is a black screen
Please help me with this
Answer:
11 cm
Step-by-step explanation:
1m = 100cm
By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.