Answer:
[0,∞)
Step-by-step explanation:
Answer:
[0,∞)
Step-by-step explanation:
Correct on Plato!
100 POINTS!!!!!
Two cylinders are similar with diameters 6 in and 9 in.
a. Find the ratio of the circumference of their bases
b. Find the ratio of the surface areas.
c. Find the ratio of the volumes.
Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{6}{2}[/tex] = 3 in
Diameter of cylinder B = 9 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{9}{2}[/tex] = 4.5 in
Thus,
a. circumference of a circle = 2[tex]\pi[/tex]r
Circumference of cylinder A = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 3
= 6[tex]\pi[/tex] in
Circumference of cylinder B = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 4.5
= 9[tex]\pi[/tex]
Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]
= [tex]\frac{6\pi }{9\pi }[/tex]
= 2:3
b. The surface area of a cylinder = 2[tex]\pi[/tex]rh
the surface area of cylinder A = 2[tex]\pi[/tex]rh
= 6[tex]\pi[/tex]h
the surface area of cylinder B = 2[tex]\pi[/tex]rh
= 9[tex]\pi[/tex]h
The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]
= [tex]\frac{6\pi h}{9\pi h}[/tex]
= 2:3
c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]3^{2}[/tex] x h
= 9[tex]\pi[/tex]h
volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h
= 20.25[tex]\pi[/tex]h
The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]
= [tex]\frac{9\pi h}{20.25\pi h}[/tex]
= 4:9
d=6in,9in
r=3in,4.5in
circumference:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
LSA:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
TSA
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]
[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]
[tex]\\ \sf\longmapsto 7:15[/tex]
Volume:-
[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]
[tex]\\ \sf\longmapsto 4:9[/tex]
What is the answer and the work i have to do to get to it
Answer:
B
Step-by-step explanation:
Helen makes 6 friendship bracelets . She gave 1/3 of the bracelets to sami which expression can i use
Answer:
6 x 1/3 = 2
Step-by-step explanation:
please help me i really need help please
Answer:
d
Step-by-step explanation:
Which three lengths can NOT be the lengths of the sides of a triangle?
A.23 m, 17 m, 14 m
B. 5m, 7m, 8m
C. 21m, 6m, 10m
D.11 m, 11 m, 12 m
Answer:
C. 21m, 6cm, 10m
Step-by-step explanation:
The first person to answer i will give a 5 star GOOOOOO!!!
Answer:
Hi and have a great day!
Step-by-step explanation:
what's the answer! Consider having a personal loan that spans 5 years. The loan was only taken out for $6000, but the interest rate was a higher fixed percentage of 5.99%. How much interest will you have paid after it is paid off?
Answer: $179.70
Step-by-step explanation:
The simple interest will be:
= (Principal × Rate × Time) / 100
= ($6000 × 5.99% × 5) / 10
= ($6000 × 0.0599 × 5) / 10
= $1797 / 10
= $179.70
Therefore, the total interest on the loan is $179.70
Which expression below is equivalent to -2(5x-8)?
-10x+16
-10x-8
3x-10
3x-8
-2(5x-8)
-10x+16
So A.
---
hope it helps
giving brainliest *easy*
Step-by-step explanation:
The formula is given by :
[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]
We have,
m = 19° and d = 9 cm
So,
[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]
Hence, this is the required soltion.
4+5[tex]4+5\frac{x}{y} 3x^{2} - 3x^{2}[/tex]
Answer:
[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]
Step-by-step explanation:
1) Use this rule: a/b × c/d = ac/bd.
[tex]4 + 54 + \frac{5x \times {3x}^{2} }{y} - {3x}^{2} [/tex]
2) Take out the constants.
[tex]4+54 + \frac{(5 \times 3) {xx}^{2} }{y} - {3x}^{2} [/tex]
3) Simplify 5 × 3 to 15.
[tex]4 + 54 + \frac{ {15xx}^{2} }{y} - {3x}^{2} [/tex]
4) Use the product rule: x^a x^b = x^a + b.
[tex]4 + 54 + \frac{15xx^{2} }{y} - 3x^{2} [/tex]
5) Simplify 1 + 2 to 3.
[tex]4 + 54 + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]
6) Collect like terms.
[tex](4 + 54) + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]
7) Simplify.
[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]
Therefor, the answer is 58 + 15x³ / y - 3x².
A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation?
A. The data are not statistically significant at the 0.05 level.
B. The mean mass of any 150 apples grown in the farmer's orchard is 98g.
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
D. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is 98g.
Answer:
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 100[/tex]
Because of the claim of the farmer.
The alternate hypothesis is:
[tex]H_{1} \neq 100[/tex]
The alternate hypothesis tests the farmer's claim at a significance level.
The results are calculated to be statistically significant at the 0.01 level.
This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.
John wants to earn $30. He already has $12. What percent is he at his goal?
Answer:
40%
Step-by-step explanation:
40%
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hope it helps
I don't really know how to explain sorry
What is the slope of (10,-6) (-2,8)
Find the value of x.
Answer:
write 9x+80=7x+120
next transpose the x values to one side and the number to other side
i.e 9x-7x=120-80
= 2x= 140
x=140/2
and you will get the answer 70
so x=70
Step-by-step explanation:
Please mrk me as brainliest if you
Dr. Toliver has 6 fossils.
Dr. Cook has 5 times as many fossils as Dr. Maranan.
They have 90 fossils altogether. How many fossils does Dr. Maranan have?
Copyright 2020 Edmentum, Inc. All Rights Reserved
(hp
Answer:
dude 30 fossils are left
Step-by-step explanation:
Question 4
Which pattern of points in a scatterplot describes r=-1.0?
A) All points lie on a horizontal line
B) All points lie on a line that increases from left to right?
C) All points lie on a line that decreases from left to right?
D) A cloud of random points.
In a room at a museum, we want to tile the floor. If the floor measures 15 feet by 55 feet, what is the largest-size square tile that we can use to tile the floor without having to cut tiles?
A) 11 ft by 11 ft
B) 5 ft by 11 ft
C) 5 ft by 3 ft
D) 3 ft by 3 ft
E) 11 ft by 3 ft
F) 5 ft by 5 ft
Answer:
B. 5 foot by 11 foot
the numbers have to be divisible in both directions.
11x11 doesn't work, because at 15 feet wide one tile isn't wide enough, and 2 is too wide.
5x11 works- 3x5= 15 and 11x5=55. you'd use 15 tiles.
the rest are all smaller.
enlarge this shape by scale factor 3 on the grid below
If employees who make more money pay a higher percentage of their income
to the government, this is known as
A. flat taxation
B. federal income taxation
C. progressive taxation
D. regressive taxation
Answer:
C. progressive taxation
Step-by-step explanation:
Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.
There are three (3) types of taxation used by the government, these are;
1. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.
- For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.
2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.
- For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.
3. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.
- For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.
Hence, if employees who make more money pay a higher percentage of their income to the government, this is known as progressive taxation.
What is the area of the triangle?
What value of b completes the function f(x)=-x^2+bx+1?
Answer:
Step-by-step explanation:
It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.
Fortunately, I can tell that the axis of symmetry is x=2.
Put the equation into vertex form by completing the square.
axis of symmetry = b/2
b/2 = 2
b = 4
Genesis has an action figure collection. She keeps some in a display case and the rest on the wall. 253 of her action figures are on the wall, and 45% of her action figures are in the display case. What is the total number of action figures in Genesis's collection?
Answer:460
Step-by-step explanation:on delta math
The total number of action figures in Genesis's collection will be 460.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.
The obtained expression for the given condition,
=253 / (1-0.45)
=253/0.55
=25300/55
=460
Thus, the total number of action figures in Genesis's collection will be 460.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ6
Michael weighed 186 pounds. His doctor put him on a diet which enabled him to lose 3 pounds per month. What was his weight after 7 months on the diet?
Answer:
165 pounds
Step-by-step explanation:
3 times 7 = 21
186 - 21 = 165
What is the Median of this data set: 6, 10, 12, 5, 16, 11.
Answer: 10.5
Step-by-step explanation:
The median is the middle number in a data set, so in this set 5,6,10,11,12,16
the mean of 10 and 11 would be the median.
Find the length of the side and area of the square who perimeter is given below
(a) 44 cm
Answer:
Side length:11
Area: 121
Step-by-step explanation:
if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121
I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?
Classmates Joan, Peta, and Linda each received $400 as graduation gift. Joan deposits her money in an account that earns 7% interest compounded annually and keeps the money in the account for three years. Peta deposits her money, plus an extra $70, in an account that earns 8% interest compounded annually and keeps the money in the account for two years. Linda deposits her money in an account that earns 5% compounded'annually and keeps the money in the account for one year.
Who has more money when they close their accounts and why?
A) Joan, because she kept her money in the longest.
B) Linda, because of her interest rate.
C) Peta, because she invests the most.
D) They all make the same amount.
9514 1404 393
Answer:
C) Peta, because she invests the most
Step-by-step explanation:
The additional $70 that Peta invests is equivalent to more than 2 years' interest at either of the other rates. Not only does Peta invest more money, she does so at a higher interest rate.
Peta will have the most money in her account when she closes it.
__
The balances will be ...
Joan $490.02
Peta $548.21
Linda $420.00
Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $85, with a standard deviation of $28. Her friend John, taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Assuming normal populations with equal standard deviations, What is the the pooled estimate of the common variance with the 0.05 level
Answer:
The pooled estimate of the common variance is approximately 639.59
Step-by-step explanation:
The given parameters are;
The number of shops Emily visited, n₁ = 12 shops
The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85
The standard deviation of the estimate Emily was given, s₁ = $28
The number of shops John visited, n₂ = 9 shops
The average repair estimate John was given, [tex]\overline x_2[/tex] = $65
The standard deviation of the estimate John was given, s₂ = $21
The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;
[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]
[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]
∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59
The straight-line distance between the points is ___ units, rounded to the nearest tenth.
Answer:
The straight-line distance between the points is approximately 8.6.
Step-by-step explanation:
The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:
[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)
Where:
[tex]x[/tex] - Horizontal distance between the points.
[tex]y[/tex] - Vertical distance between the points.
Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:
[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]
[tex]d \approx 8.6[/tex]
The straight-line distance between the points is approximately 8.6.
Find the diameter of the circle with a circumference of 80 feet. Use 3.14 for pi. Round your answer to the nearest tenth.
12.7 ft
25.5 ft
40.0 ft
50.9 ft
someone help meee nowww pleasee
Answer:
149.28 m²
Step-by-step explanation:
Bottom and two sides of the rectangle: 3x4x6=72
Two square ends of the rectangle: 2x4x4=32
Two triangular sides of the prism: 2x1/2x2x6=12
Back of prism: 2x4=8
Top of prism: 4x6.32=25.28
72+32+12+8+25.28=149.28