Answer:
VOL_cone is 70.7
which is LESS THAN
the vol of cylinder. VOL_cyl is 71.6
Step-by-step explanation:
Volume of a cone:
V= (1/3)pi•r^2 • h
=(1/3)pi•3^2 • 7.5
= 70.7 cubic inches
(rounded to tenths this is the same if you use a pi key on the calculator or if you use 3.14)
The Volume of a cylinder:
V = pi•r^2 • h
= pi• 2.25^2 • 4.5
= 71.6 cubic inches
(more accurate with pi key, using 3.14 it rounds to 71.5)
The last blank could be the words "less than" but if they are asking for a fraction or percent, calculate by putting the big number on the bottom and the smaller number on top.
A sandbox has a volume of 330 cubic feet of sand. If the sandbox is 3 feet tall, and 10 feet wide, what is the length of the sand box?
Answer:
We are given that the total volume of the sandbox is 330 cubic feet.
We are given the side measurements of 3 feet tall and 10 feet wide.
3 x 10 = 30 sq2
V(volume)= 330 ft3
330 ft3 divided by 30 sq2 = 11ft
In conclusion, the length of the box would be:
= 11 ft
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Ten tubs of dried cranberries cost $40 how many runs can u buy for $20
Answer:
5 tubs
Step-by-step explanation:
This because if we divided 10 in half we get 5 and if we divide 40 in half we get 20
I hope this helps :)!!
Which best describes the range of the function f(x) = 2(3)x?
y > 0
y ≥ 0
y > 2
y ≥ 2
Answer:
y > 0
Step-by-step explanation:
if x = 0, y = 2
if x > 0, y > 0
if x < 0 , y > 0
The option that describes the range of the function f(x) = 2(3)x is A. y > 0.
How to illustrate the function?It should be noted that a function whose value us constant raised to the power of the argument especially the function where the constant is e.
The range of the value of y depends on x. Here, the option that describes the range of the function f(x) = 2(3)x is y > 0.
In conclusion, the correct option is A.
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Angelina wins money in a competition. She is given the choice as to how she is paid.
Choice 1: Get $1 the 1st day, 2$ the 2nd day, $4 the 3rd day, 8$ the 4th day, and so on
Choice 2: Get 1,000,000 today.
a) With which method of payment will angelina get more money?
c) After how many days will the money Angelina gets from Choice 1 be approximately $1, 000, 000?
Answer:
Choice 120 daysStep-by-step explanation:
You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.
__
a)Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.
__
c)For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...
Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r
We want to find n such that ...
Sn ≥ 1,000,000
1 × (2^n -1)/(2 -1) ≥ 1,000,000
2^n ≥ 1,000,001 . . . . add 1
n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm
n ≥ 19.93
The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.
How many times larger is 8 x 106 than 2 x 103?
Х
Answer: ~4.12 times larger
Step-by-step explanation:
1. find the values for both equation, (8*106=848) and (2*103=206).
2. divide the larger number by the smaller one. 848/206
which gives us 4.11650485, or 4.12 rounded.
hope this helped! ♡
What is the area of this figure?
3 mi
7 mi
4 mi
2 mi
5 mi
12 mi
3 mi
2 mi
Write your answer using decimals, if
necessary.
square miles
Answer:
38.5
Step-by-step explanation:
I would give explanation but it's kind of hard
The swimming pool shown below has a 6 foot wide concrete deck around it.
What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232
Area of the rectangle inside:-
32(16)=512ft^2Area of the rectangle outside
28(44)=1232ft^2Area of the deck:-
Area of rectangle outside-inside1232-512720ft^2Answer:
pretty sure it's D for this question
Make x the subject K(x-a)=t
Answer:
x = t+ka/k
Step-by-step explanation:
First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division
Then you open the brackets which makes x-a = t/k
Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k
Answer:
x = [tex]\frac{t+ka}{k}[/tex]
Step-by-step explanation:
k(x - a) = t ← distribute parenthesis on the left side by k )
kx - ka = t ( add ka to both sides )
kx = t + ka ( divide both sides by k )
x = [tex]\frac{t+ka}{k}[/tex]
Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!
Answer:
UM make a graph if you want so yea
Step-by-step explanation:
[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]
Use quadratic formula
[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]
[tex]\\ \rm\rightarrowtail x=3,1[/tex]
The diagram shows the entrance to a tunnel.
The circular arc has a radius of 3m and center O.
AB is horizontal and angle AOB = 120°.
During a storm the tunnel filled with water, to the level shown by the shaded area in the diagram.
Calculate the shaded area.
Step-by-step explanation:
it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).
what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.
since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).
and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.
AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).
the area of this triangle AOB is
1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =
= 3.897114317... m²
a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).
so, it's area is
pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²
so, the total area of the shaded area is
3.897114317... m² + 4.71238898... m² =
= 8.609503297... m²
The area of the shaded portion of the circle is A = 8.61 m²
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the area of the shaded region be A
Let the radius of the circle be r = 3 m
The triangle ΔAOB is an isosceles triangle with side lengths = 3m
The area of the triangle ΔAOB = ( 1/2 ) x 3 x 3 x sin (120)
On simplifying the equation , we get
The area of the triangle ΔAOB = 3.897 m²
Now ,
There are 2 sectors , with sector angle = 30°
The area of the two sectors = 2 x ( 30/360 ) x π x 3²
On simplifying the equation , we get
The area of the two sectors = 2 x 2.357
The area of the two sectors = 4.714 m²
Now ,
The area of the shaded region of circle A = area of the two sectors + area of the triangle ΔAOB
Substituting the values in the equation , we get
The area of the shaded region A = 4.714 + 3.897
The area of the shaded region A = 8.611 m²
Therefore , the value of A is 8.611 m²
Hence , the area is 8.611 m²
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The angle of elevation to a nearby tree from a point on the ground is measured to be 65 degrees. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
102feets
Step-by-step explanation:
sin 65=92÷x
0.906=92÷x
x=102
please help fast!!! a shirt is regularly priced at $35.50 if it is discounted by 45% what is the sales price
What is the number with the mark
[tex]\huge\mathsf\blue{♧ANSWER♧}[/tex]
[tex]\huge \mathfrak \blue{\frac{ - 7}{8} }[/tex]
Please help on this
Answer:
5.025m
Step-by-step explanation:
The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.
We can use the pythagorean theorem to find the length of the clothesline.
5 squared +.5 squared= the length of the clothesline squared
25+.25= the square root of 25.25
= 5.025
Answer:
Your answer would be:
5.025m
Step-by-step explanation:
5 sq + 0.5sq = the length of the clothesline sq
25 + 0.25= the square root of 25.25
= 5.025m
Have a great rest of your day
#TheWizzer
LAY
STOP
Solve using the Zero Product Property.
15. The height of a football after it has been kicked from the top of a hill can be modeled
by the equation h= 2(-2-4t) (2t - 5), where h is the height of the football in feet
and tiltihe time in seconds. How long is the football in the air?
A
A. t=2.5 seconds
B.
B. t=-0.5 seconds
с
C. t=1.5 seconds
Answer:
A
Step-by-step explanation:
how long is the ball in the air ?
that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?
so, that means we need to find the zero solution of h(t).
at what t is h(t) = 0 ?
when at least one of the factors is 0 :
2(-2 - 4t)(2t - 5)
we have 3 factors
2 : can never be 0.
(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).
(2t - 5) : is 0 when 2t = 5 or t = 2.5
so, A is the right answer.
FYI : the starting height (on the hill) is given by t = 0 :
2(-2 - 0)(0 - 5) = 2×-2×-5 = 20 ft
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Hello I need help on this math question
Answer:
Choice a 10 cm
Step-by-step explanation:
Volume of a sphere; 4/3 x 3.14(r^3)
Since we dont know the radius aka r, we can put in the different values until we get what we are looking for :)
!!!used an online calculator for this!!!
Choice a: 4188.79
Choice b: 50965.01
Choice c: 38792.39
Choice d: 5575.2
Since none of the answers are coming out as 4846.59, I would go with the closest one, choice a.
I really hope this helps!!
Please rate!!
Have a wonderful day!!
Please help!!!
Mr. Johnson's class will study one sea animal for the next week. Which group should Mr. Johnson survey to find the type of sea animal his students should study?
A: His students
B: Teachers at his school
C: Parents of his students
D: Workers at a sea animal park
Answer:
A He should ask his students to know what they prefer
Step-by-step explanation:
Help? im confused plss!
Find the area of the regular polygon with the given radius or apothem.
Answer:
okay so think of the polygon as like a rectangle in a way now use the method of finding a area with a triangle
Step-by-step explanation:
A= bxh divide by 2 then A= bxh x 2
it worked for me
A and B are two companies.
The table shows some information about the sales of each company and the number of workers for each
company in 2004 and in 2014
Work out the percentage increase in sales from 2004 to 2014 for company A
Answer:
Step-by-step explanation:
Which one doesn’t belong? A B C D
Answer:
A
Step-by-step explanation:
because its not an angle
Answer:
i would say a
Step-by-step explanation:
because b c and d sort of have an angle to them but a is straight
expression that is equivalent to 27e+24
Answer:
3(9e + 8)
Step-by-step explanation:
the highest common factor is 3 so factor it out.
Answer:
[tex]\displaystyle 3[9e + 8][/tex]
Explanation:
Sinse you were not specific in your approach, it is safe to assume that you were probably looking for how to factour this expression, and the way to do to this is to factour a 3 out the expression sinse both quantities have a common divisour of 3:
24: 1, 2, 3, 4, 6, 8, 12, 24
27: 1, 3, 9, 27
I am joyous to assist you at any time.
Find the slope of the line y=7x–6.
Answer:
slope: 7
y-intercept: (0,−6)
Step-by-step explanation:
What is the answer will rate you 5 stars
The format of the equation is in 'slope-intercept form'
--> y = mx + b
m: the slopeb: the value of the y-interceptIn this case, the line is missing its y-intercept
--> the y-intercept is where the x value of any coordinate is equal to '0'
--> in that case b = 5
Hope that helps!
Answer:5
Step-by-step explanation:
Plugging in (5) will solve all relations.
0 + (5) = 5
1+(5) = 6
2+(5) = 7
3+(5) = 8
4+(5) = 9
5+(5) = 10
6+(5) = 11
What is the coefficient for the 5th term of (2x-y)^8
Answer:
256x^8
Step-by-step explanation:
Hope this helped
Maybe mark brainiest?
Can anyone help me with this one Question on volume The diameter of a cylinder is 1 yd. The height is 12 yd. Find the volume of the cylinder.
Answer:
9.42 cube.yd
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 0.5 × 0.5 × 129.42 cube.ydBRAINLIEST For the fastest answer
Hello I need help on this math question
Answer:
23
Step-by-step explanation:
In diagram below?FG bisects
Answer:
107 should be your answer
Step-by-step explanation:
so to simplify it, its as simple as 180-146=34 and then 73+34=107, because BGC is vertical to AGD giving you most of the line, and from more math you can figure out that FGA is equal to 73 and vertical to EGB giving you the rest that you need.
A model of a house is 6 inch wide and 8 inches long. If the actual house is
20 yards long, how wide is the actual house?
OA) 2.4 yd
OB) 4.8 yd
OC) 15 yd
OD 26 yd
Answer:
its 15 <3
Step-by-step explanation:
i did the quiz.
Is this a function pls someone tell me
Functions must pass the vertical line test. This means that for every x value there must be ONLY ONE y value.
We can see in this table that the x value 25 has two different y values. Therefore, this is NOT a function.
Hope this helps!
Answer:
yes
Step-by-step explanation:
If the line only goes through one point once than yes. Vertical line test.
Note: "While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!"
Helpppppp!!!
(Show work)
Answer:
Step-by-step explanation:
Part B: A"C