A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate radius of a sphere that has the same surface area
as the cylinder?
OA. 2.0m
OB. 4.1 m
O c. 1.7m
OD. 2.9 m
Answers
If the surface area of the cylinder is 12π square meters. Then the radius of the sphere will be 1.7 meters.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylinder has a height of 4 meters and a radius of 1.5 meters.
Then the approximate radius of a sphere that has the same surface area as the cylinder.
We know that the Surface area of the cylinder will be is given as
Surface area = 2πrh
Surface area = 2 x π x 1.5 x 4
Surface area = 12π square meters
Then we have
Surface area of sphere = surface area of cylinder
4πr² = 12π
r² = 3
r = 1.7 meters
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Answer:
2.0 m
Step-by-step explanation:
A. 2.0 m
Related Questions
Please help me with this!
Answers
Answer:
sin(4)
Step-by-step explanation:
sin(-184) is the equivalent to sin(4) (degree), positive and acute angle.
5600 to the nearest 1000
Answers
Answer:
6000.
Step-by-step explanation:
Hundreds digit is 6 so we round up the thousand digit (5) to get 6000.
30 Use the method of completing the square to determine the vertex of f(x) = x² - 14x - 15.
State the coordinates of the vertex.
Answers
Answer:
x² - 14x - 15 = (x − 7)² − 64Then the coordinates of the vertex are (7 , -64)Step-by-step explanation:
x² - 14x - 15 = x² - 14x + (49 - 49) - 15
= (x² - 14x + 49) - 49 - 15
= (x² - 14x + 7²) - 49 - 15
= (x − 7)² − (49 + 15)
= (x − 7)² − 64
x² - 14x - 15 = (x − 7)² − 64
Then the coordinates of the vertex are (7 , -64)
Multiply the following
(a) 2.7x4
(b) 0.79x32.4
(c)1.07 x 0.02
(d) 2.3x4.35
(e) 2.5x100
(f) 0.0008x100
g) 0.25x 10000
h)3x0.55
i)0.08x5
j)351.06x4
k)0.3x0.03
l) 21.7x0.1
m) 200.02 x 2.2
Kindly look into this and try to answer all of them this contains 30 points
Answers
a) 10.8
b) 25.596
c) 0.0214
d) 10.005
e) 250
f) 0.08
g) 2500
h) 1.65
i) 0.4
j) 1404.24
k) 0.009
l) 2.17
m) 440.044
Note: I haven’t provided the steps since this is basic multiplication of decimal numbers. However, if you do need help please comment below this answer.
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hi can someone help I’m doing ixl AND I DONT UNDERSTAND ILL GIVE BRAINLIESST please explain
Answers
Answer:
5:9
Step-by-step explanation:
the circumference is d*pi
so you must find the diameter of both circles
31/pi = 9.86760647
which is about 10
57/pi = 18.1436635
which is about 18
10:18 is your ratio
but you can simplify this down to
5:9
Roger works part-time as a waiter at a pizza joint. He earns $9 per hour. How much does he earn for 20 hours of work?
Answers
Answer:
20 x 9 = $180 just multiply hours worked times rate per hour
what are the exact values for x and y
Answers
Answer:
see the attachment photo!
A bottle contains 1 2/5 litres of orange squash. To make one drink, 1/200 of a litre of squah is needed. How many drinks can be made from the bottle of squash?
Answers
Answer:
280 drinks
Step-by-step explanation:
Capacity of bottle [tex]=1\frac{2}{5}=\frac{7}{5}\: l[/tex]Squash needed to make one drink [tex]=\frac{1}{200}\:l[/tex]Total number of drinks [tex]=\frac{7}{5}\div\frac{1}{200}[/tex][tex]=\frac{7}{5}*200[/tex][tex]=7*40[/tex][tex]=280[/tex]Answer:
280 drinks. We need to divide 1 2/5 by 1/200 in order to get this answer.
What is the solution of 5sin2θ=3 for 0≤θ≤2π? Please help.
Answers
Answer:
C) [tex]\theta\approx\{0.3218,1.249,3.463,4.3908\}[/tex]
Step-by-step explanation:
[tex]5\sin2\theta=3;\: 0\leq\theta\leq 2\pi\\\\\sin2\theta=\frac{3}{5}\\ \\2\theta\approx\{0.6436,2.498,6.926,8.7816\}\\\\\theta\approx\{0.3218,1.249,3.463,4.3908\}[/tex]
How do I graph this linear function
x < -1
Answers
This is how the linear function looks.
A random number generator is used to create a list of 200 single-digit numbers. of those 200 numbers, 105 are even and ninety-five are odd. seven was generated fifteen times. what is the experimental probability of an odd number other than seven being generated? 40.0% 45.0% 47.5% 52.5%
Answers
Using it's concept, it is found that the probability of an odd number other than seven being generated is of 40.0%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 200 numbers have been generated, and 80 are odd numbers that are not seven, hence the probability is given by:
p = 80/200 = 0.4 = 40%.
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Answer:
40
Step-by-step explanation:
What is the quotient if -3/8 and -1/3
Answers
[tex]\left(- \dfrac 38 \right) \div \left(-\dfrac 13 \right)\\\\\\=-\dfrac 38 \times (-3)\\\\\\=\dfrac 98[/tex]
2+2/3x=3/7 rewrite without fractions, and answer without decimals, also does anyone know where I could throw this into for an immediate answer?
Answers
The answer for the given equation in decimal is -2.357.
What is equation?An equation is a mathematical expression in terms of one or more unknown variable.
Given the equation : 2 +2/3x =3/7
Simplify by Cross multiplication, we get
6 +2x = 9/7
Simplifying further and solving for x
2x = 9/7 -6
2x = -4.714
x = -2.357
Hence, the equation is solved and the value of x is -2.357.
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Find the percent of the number. 30% of 90 is =
Answers
Answer:
27
Step-by-step explanation:
30% of 90 is 27
30/100 = ?/90
by cross multiplying, we can see that 30 times 90 is equal to 2700.
2700/100 = 27
? = 27
PLEASE GIVE BRAINLIEST!
Hope this helps :)
Solve the system by graphing.
y = x+2
2x-y=-1
Answers
Answer:
The intersection is at (1,3) and the answer is in the graph. (see image below)
Step-by-step explanation:
40 PTS + BRAINLY
The given Stem-and-Leaf Plot displays the number of people who attended the nine-day carnival. What is the mode of the given data set?
STEM | LEAF
5 | 4
6 | 0
7 | 00589
8 | 16
9 | ____
A. 91 B.86 C. 60 D.70
Answers
The mode of a given data set is the number that is repeated most often in a given data set. The mode of the given stem-and-leaf plot is 70.
What is the mode of a data set?The mode of a given data set is the number that is repeated most often in a given data set. It can also be described as the number that has the highest frequency of repetition.
As per the given Stem and leaf plot, the number of people who attended the carnival on different days is 54 60 70 70 75 78 79 81 86, since the mode is the number that is repeated very frequently, therefore, the mode of the given data is 70.
Hence, the mode of the given stem-and-leaf plot is 70.
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For every 36 minutes of sprinting, Scarlett earned 12 dollars for charity. To find the unit rate of this, I would first need to structure the equation. In this case, I would use division, so my equation would be 36 ÷ 12 = 3. The final answer would be, for every 3 minutes, Scarlett earns $1. is this right? i will give 15 points:)
Answers
Answer:
$1 every 3 minutes
Step-by-step explanation:
Cause every 36 minutes Scarlett earns $12 and if you divide 36 by 12 it will give 3 minutes which means she earns $1 per 3 minutes. You're right.
What is the measure of major B 84° O 276° O252° O 84° O 168 arc AB? A
Answers
Answer:
A - 84°
Step-by-step explanation:
The measure of an arc is equal to the measure of the central angle that intersects it.
The central angle of this circle measures 84° and it intercepts arc AB, meaning arc AB measures 84°
If x and y are complementary angles, then y is a right angle.
right?
Answers
Step-by-Step Explanation:
Complementary angles are a set of angles that sum up to 90 degrees. Neither y nor x can be 90 since if it is, then the other angle would have to be 0 degrees which is not possible in a triangle.
Find the general solution of the given differential equation. Cos(x) dy dx (sin(x))y = 1
Answers
The general solution to the differential equation is y = sinx + c cosx.
What is differential equation?It is defined as the equation which contains functions, derivative of the functions to make an expression.
We have a differential equation:
[tex]\rm cosx\left(\dfrac{dy}{dx}\right)+\left(sinx\right)y\:=\:1[/tex]
Multiply by dx:
(cosx) dy + (sinx) y dx = dx
(cosx) dy = (1 - (sinx) y) dx
After simplification and integrating, we will get:
[tex]\rm y = \dfrac{tan x}{sec x}+ \dfrac{c}{secx}[/tex]
y = sinx + c cosx
Thus, the general solution to the differential equation is y = sinx + c cosx.
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PLS HELP
Which shows the following expression after the negative exponents have been eliminated?
Answers
Answer:
Option 2
Step-by-step explanation:
Given :
[tex]\frac{xy^{-6} }{x^{-4}y^{2} }[/tex]
=============================================================
Applied Rule :
[tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex]
============================================================
Solving :
⇒ To remove negative exponents, bring to the opposite side (e.g. if in the denominator, bring to the numerator)
⇒ [tex]\frac{x(x^{4}) }{y^{2}(y^{6}) }[/tex]
pls help me name and classify the following?!
Answers
Answer:
1.Right AngleAn angle whose measure is equal to 90° is called a right angle.
2.Acute AngleAn angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles.
3.Obtuse AngleAn angle more than 90 degrees and less than 180 degrees, is called an obtuse angle.
The perimeter of an equilateral triangle is 96 cm. Find the length of the side of the triangle.
Answers
Answer:
Answer : Length(l) = 32 cm
Step-by-step explanation:
Given,
Perimeter(P)=96 cm
Length(l)=?
We know that,
P = 3l
96 = 3l
96÷3 = l
32 = l
Therefore, length(l) = 32 cm
given that у=6 cm and θ=15 °, work out x rounded to 1 decimal place.
(the diagram is not drawn to scale.)
Answers
Using a trigonometric realtion, we can see that x = 23.18cm
How to find the value of x?Here we have a right triangle, we can see that y = 6cm, and the angle theta is 15°.
Notice that y is the opposite cathetus to the known angle, and we want to find the value of x, which is the hypotenuse.
Then we can use the trigonometric relation:
sin(a) = (opposite cathetus)/hypotenuse.
Reaplacing what we know, we will get:
sin(15°) = 6cm/x
Solving that for x:
x = 6cm/sin(15°9
x = 23.18cm
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Consider the following histogram.
A histogram with 5 bars with intervals of equal width. The height of the first bar is 2. The height of the second bar is 5. The height of the third bar is 6. The height of the fourth bar is 5. The height of the fifth bar is 2.
© 2018 StrongMind. Created using GeoGebra.
Which answer correctly describes the shape of the data in the histogram?
left-skewed
right-skewed
symmetrical
uniform
Answers
Answer:
The shape of the data in the histogram is Symmetrical.
Step-by-step explanation:
This is because the distribution, or data set is the same to the left and right of the center point.
The weight of vegetables transported by a farmer to a nearby market increases by 15% every month.
The farmer transports 460 pounds of vegetables in April, 529 pounds of vegetables in May, 608.35 pounds of vegetables in June, and 699.60 pounds of vegetables in July.
Approximately how many pounds of vegetables will be transported to the market in August
Answers
Using proportions, it is found that 804.54 pounds of vegetables will be transported to the market in August.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the weight increases by 15% every month, the August amount will be the July's amount multiplied by 1.15, hence:
A = 1.15 x 699.60 pounds = 804.54 pounds.
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Explain the difference between 2(7x-4) and (7x-4)^2
Answers
Answer:
2(7x-4) = 7x(2)-4(2) = 14x-8
but
(7x-4)^2 = (7x-4) (7x-4)
Figure FGHJ is shown below.
Figure F G H J has 4 sides. Sides F J and G H are congruent and parallel, and sides G F and H J are congruent and parallel. Angles G and J are 130 degrees.
Which names accurately describe figure FGHJ? Select two options.
parallelogram
quadrilateral
rectangle
rhombus
trapezoid
Answers
6x1 + 9 x 1/10 + 8 x 1/100 + 3 x 1/1000=?
Answers
Answer:
6983/1000 OR 6.983
Step-by-step explanation:
6*1=6
9*1/10=9/10
8*1/100=8/100
3*1/1000=3/1000
6+9/10+8/100+3/1000=6983/1000
OR
6.983
5² + 12² =
64a3³
Work out the value of a.
Your final line should say, a =
Answers
Answer:
a = 13/4Step-by-step explanation:
√(5²+12²) = ∛(64a³)
√(25+144)=√(64a)
√169 = √(64a)
13 = 4a
a = 13/4