*PLEASE ANSWER* Compare the volume of these two shapes,given their radii and heights are the same .
Answers
Answer:
The correct option is;
Left object volume = right object volume
Step-by-step explanation:
The shapes given in the question are two circular cones that have equal base radius and equal height
The formula for the volume, V of a circular cone = 1/3 × Base area × Height
The base area of the two shapes are for the left A = π·r², for the right A = π·r²
The heights are the same, therefore, the volume are;
For the left
[tex]V_{left}[/tex] = 1/3×π·r²×h
For the right
[tex]V_{right}[/tex] = 1/3×π·r²×h
Which shows that
1/3×π·r²×h = 1/3×π·r²×h and [tex]V_{left}[/tex] = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.
Related Questions
Albert has 40 toy cars. Brad has 15 fewer toy cars than Albert, but 7 more than Chris. How many toy cars do they have all together?
Answers
Answer:
83
Step-by-step explanation:
40 - 15 = 25
25 - 7 = 18
40 + 25 + 18 =
83
We know that Albert has 40 toy cars.
If Brad has 15 fewer cars than Albert, Brad has 40 - 15 or 25 cars.
Now, we know that Chris has 7 fewer cars than Brad.
So Chris would have 18 cars.
Altogether, they would have 40 + 25 + 18 cars or 83 cars.
Halfway through the second quarter, what fructional part of the game is left?
Answers
Answer:
5/8 of the game
Step-by-step explanation:
Half of a quarter is 1/2, and 1 quarter is already done, therefore 1/2, or to simplify it 1/8, plus 2/8, would be 3/8. Now, a quarter is 1/4th of something therefore there must be 4 quarters in a total.so that means that there are 8 halfves in total , so 8-3=5, so the fractional parts of the game left is 5/8.
The part of the game i.e. left should be [tex]5\div 8[/tex]
Calculation of the part of the game:Since the half of the quarter is one-half. And, the one quarter is done so one-half is remaining. That means
[tex]= 1\div 8 + 1\\\= 2\div 8[/tex]
Since one-fourth should be of something also there are total 4 quarters that means there are 8 halves.
So, remaining it should be
= 8 -3
= 5
Hence, The part of the game i.e. left should be [tex]5\div 8[/tex]
Learn more about game here: https://brainly.com/question/1415899
Math Question (10 Points):
Answers
Answer:
1 state
Step-by-step explanation:
You can see this by the state increases by 1, from 14-15, in the graph above.
Also, can you please give me the brainliest answer thing. :)
Question 5
Kate is finding the factors of a large number. Using
a calculator, she has just worked out that 66 is a
factor of this number.
Suddenly, she realises that 22 must be a factor of
the large number as well. Explain why Kate is
correct.
Answers
Explanation : If 66 is a factor of this unknown value, then 22 must be as well considering that 22 is a factor off 66. Let's say that this large value is 330. It is a multiple of 66, as 66 [tex]*[/tex] 5 = 330. At the same time 22 [tex]*[/tex] 15 = 330, so 330 is a multiple of 22 as well - or vice versa, 12 is a factor of 330.
We can also tell that 15, 22 fit into 330 through another approach. 22 [tex]*[/tex] 3 = 66, and 66 [tex]*[/tex] 5 = 330, so 5 [tex]*[/tex] 3 = 15 - the same value. This proves that 22 will always be a factor of a value that is the factor of 66.
Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply. The quadratic equation is in standard form. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0. There are two real number solutions. There are no real number solutions. A solution of the system of equations is (–1, 1.5).
Answers
Basically the first three items are true, with the rest false.
=========================================================
Explanation:
Let's go through each answer choice one by one to see if it is true or false.
---------------------
A. The quadratic equation is in standard form.
This is true. Standard form for quadratics is y = ax^2+bx+c. In this case, a = 2, b = 0, c = 3. It might help to write the equation as y = 2x^2+0x+3.
---------------------
B. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0.
This is true. Start with y-x = 6. Replace y with 2x^2+3 and we get
2x^2+3-x = 6
From here we subtract 6 from both sides
2x^2+3-x-6 = 6-6
2x^2-x-3 = 0
---------------------
C. There are two real number solutions.
This is true. When you graph the two equations (I recommend GeoGebra but Desmos is another good tool), you'll see they intersect at two different locations. Each location is a solution in the form (x,y).
---------------------
D. There are no real number solutions.
This is false. It contradicts choice C.
---------------------
E. A solution of the system of equations is (–1, 1.5).
This is false. The two solutions are (-1, 5) and (1.5, 7.5) which is where the two graphs intersect.
Another way to check is to plug x = -1 into either equation. You'll find the result to both is y = 5 instead of y = 1.5
Answer:
its ABC
Step-by-step explanation:
Solve. 4x - 2 ——— = -7 2
Answers
Answer:
x = -3
Step-by-step explanation:
Dividing by 2 is the same as multiplying by 1/2. The distributive property applies.
[tex]\dfrac{4x-2}{2}=-7\\\\2x-1=-7\quad\text{simplify}\\\\2x=-6\quad\text{add 1}\\\\\boxed{x=-3}\quad\text{divide by 2}[/tex]
x=-3
help me please real quick
Answers
Volume of cuboid = L x b x h = 8 x 5 x 9 = 360.
Answer:
D) [tex]360 m^{3}[/tex]
Step-by-step explanation:
Let's review the formula for finding the volume of a cube or rectangular prism.
[tex]V = (l)(h)(w)[/tex] - Basically saying "Volume = length × height × width".
In this case, you can consider 9 meters as the length, 5 meters as the height, and 8 meters as the width (but it doesn't really matter which dimensions are which since you are just multiplying them all together).
Now, let's multiply our dimensions together.
[tex]9 * 5 * 8 = 360[/tex]
That's your answer! Make sure to not forget your units (in this case, meters) cubed.
Hope that helps and maybe earns a brainliest!
Have a splendid day! <3
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45
Answers
Answer:
x + y ≥ 45
Step-by-step explanation:
This is because the total amount of minutes could be equal to 45, meaning your inequality sign has to have a line underneath it.
Additionally, x + y is greater than or equal to because the amount could be more than 45... therefore, 45 is not greater than x + y
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
If the total time he spent on both is 45 minutes or more, the answer is:
x + y ≥ 45.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hints for next time
(≥ Means greater than or equal to.)
(≤ Means less than or equal to)
(> Greater than)
(< Less than)
If 6 • 3 = 18, then 4 + 8 = 20. T F → F T T → T F T → T F F → T
Answers
Answer:
False.
Step-by-step explanation:
For the statement: "If 6 • 3 = 18, then 4 + 8 = 20.":
6 * 3 = 18
If you added two after multiplying 6 and 3, you would get 20.
(6*3) + 2 = 20
8 + 4 does not equal 20.
8 + 4 = 20
12 ≠ 20
HELP! QUICK!
What is the equation for the parabola with focus (2,7) and directrix y = -2?
Answers
Answer:
1/18(x-2)^2+45/18=y
Step-by-step explanation:
(x-2)^2+(y-7)^2=(y+2)^2
(x-2)^2+y^2-14y+49=y^2+4y+4
(x-2)^2-14y+49=4y+4
(x-2)^2+45=18y
1/18(x-2)^2+45/18=y
Also puts thanks on his /\
a countrys population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million
Answers
Answer:
254 million
Step-by-step explanation:
In a calculator it would to
210 x 1,0194^(10)
P = total population
P0= starting population
r = % of growth
t = time
e = Eulers number
add the numbers in the problem below to solve, and then round! that’s how you get the correct answer!!
hope this helped!:)
HURRY !!! PLEASE HELP!!
Kellianne lined up the interior angles of the triangle along line p below.
Which statements are true for line p? Check all that apply.
It is a straight line with a measure of 360°.
It stays the same even if the angles in the triangle change.
The line will not be straight if one of the angles in the triangle is changed to an obtuse angle.
The line is only straight when one of the angles is a right angle.
It represents the sum of the measures of the interior angles of the triangle.
The line will not be straight if all the angles in the triangle are acute.
It combines the three interior angles of the triangle to form a straight line.
It is a straight line with a measure of 180°
Answers
Answer:
2. it stays the same even if the angles in the triangle change
a. the angles must add up to 180º. a straight line is equal to 180º, so as long as the angles add up to 180º, it will be a straight line.
5. it represents the sum of the measures of the interior angles of the triangle
a. Kellianne lined up the interior angles of the triangle. if added they equal 180º which is the measure of the straight line.
7. it combines the three interior angles of the triangle to form a straight line
a. same answers as previous
8. it is a straight line with a measure of 180º
a. refer to above
hope this helps :)
Answer:
B E H
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!
Answers
Answer:
hope this is ok...
1. a) f(h) = -4
b) f(h) = 4
c) f(h) = -6
d) f(h) = -8
2. a) f(h) = 5
b) f(h) = 11
c) f(h) = 3
d) f(h) = -1
3. a) f(x) = 11
b) f(x) = -5
c) f(x) = -245
d) f(x) = -89
4. f(56) = -29.35 or -29.346046
5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)
Step-by-step explanation:
1. f(h) = | h - 10 |
a) f(h) = | 6 - 10 | = -4
b) f(h) = | 14 - 10 | = 4
c) f(h) = | 4 - 10 | = -6
d) f(h) = | 2 - 10 | = -8
2. f(h) = | h - 2 |
a) f(h) = | 7 - 2 | = 5
b) f(h) = | 13 - 2 | = 11
c) f(h) = | 5 - 2 | = 3
d) f(h) = | 1 - 2 | = -1
3. f(x) = x² + 11
a) f(x) = -0² + 11 = 11
b) f(x) = -4² + 11 = -5
c) f(x) = -16² + 11 = -245
d) f(x) = -10² + 11 = -89
4. f(x) = 8√x - 31
a) f(56) = 8√56 - 31 = -29.35
5. f(x) = 2√x - 56
a) f(200) = 2√200 -56 = -41.86
Please mark Brainliest....
Answer:
The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o
PLEASE HELP ASAP WILL GIVE BRAINLY!!!!!!Some of the steps in the derivation of the quadratic formula are shown:
Step 3: –c + StartFraction b squared Over 4 a EndFraction = a(x squared + StartFraction b Over a EndFraction x + StartFraction b squared Over 4 a squared EndFraction)
Step 4a: –c + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared
Step 4b: negative StartFraction 4 a c Over 4 a EndFraction + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared
Which best explains or justifies Step 4b?
factoring a polynomial
multiplication property of equality
converting to a common denominator
addition property of equality
.
Answers
Answer:
i think it is the third one but dont know just an educational geuss
Step-by-step explanation:
The given steps from the derivation of the quadratic formula are:
Step 3: [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]
Step 4a: [tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 4b: [tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
The property "converting to a common denominator" justifies step 4b. So, option C: "converting to a common denominator" is correct.
What is the quadratic formula?The quadratic formula is as follows:
x = [-b ± (√b²+4ac)]/2a
This formula is derived from the quadratic equation [tex]ax^2+bx+c=0[/tex].
What are the steps to derive the quadratic formula?The standard quadratic equation is [tex]ax^2+bx+c=0[/tex]
Step 1: [tex]ax^2+bx=-c[/tex]
Step 2: Taking 'a' as common
[tex]a(x^2+\frac{b}{a}x)=-c[/tex]
Step 3: Adding [tex]\frac{b^2}{4a}[/tex] on both sides
[tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x)+\frac{b^2}{4a}[/tex]
⇒ [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]
Step 4a: Factoring the polynomial
[tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 4b: Converting to a common denominator
[tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
⇒ [tex]\frac{(-4ac+b^2)}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 5: Applying square root (on one side there is a square, so, on the other side it gets ±)
⇒ [tex]\frac{(-4ac+b^2)}{4a^2}=(x+\frac{b}{2a})^2[/tex]
⇒ ±[tex]\sqrt{\frac{(-4ac+b^2)}{4a^2}} =(x+\frac{b}{2a})[/tex]
⇒ [tex]x+\frac{b}{2a}[/tex] = ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]
step 6: Subtacting [tex]\frac{b}{2a}[/tex] from both the sides
⇒ [tex]x=-\frac{b}{2a}[/tex] ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]
⇒ x = [-b ± (√b²+4ac)]/2a
Thus, step 4b best explains or justifies the property "Converting to a common denominator".
Learn more about quadratic formula here:
https://brainly.com/question/9929333
#SPJ2
A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars. What is the constant of proportionality?
Answers
Answer:
Heres the graph:
Step-by-step explanation:
Constant is $2 dollars per bag od candy or just 2.
Answer:
2
Step-by-step explanation:
from (0,0) ⇒ (1,2) ⇒ (2,4) ⇒ (3,6)
∴ 2
The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions of the picture if its perimeter is 74 inches.
Answers
Answer:
Length = 29 inchesWidth = 8 inchesStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width
From the question
length of a rectangular picture is 5 inches more than three times the width is written as
l = 5 + 3w
Now substitute this into the above equation
Perimeter = 74 inches
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 74 - 10
8w = 64
Divide both sides by 8
w = 8 inches
Substitute w = 8 into l = 5 + 3w
That's
l = 5 + 3(8)
l = 5 + 24
l = 29 inches
Length = 29 inchesWidth = 8 inchesHope this helps you
Width-8 inches
Sorry if im wrong i tried my best. God bless u
A gallon of paint covers 825 square
feet. How much paint is needed to
paint a house with a surface area of
6600 square feet?
Answers
Answer:
8 gallons
Step-by-step explanation:
1 gallon → 825 sq. feets
X Gallons → 6600 sq. feets
X=6600÷825= 8
Answer: 8 gallons
Step-by-step explanation:
If 1 gallon of paint covers 825 square feet, divide 6600 square feet by 825 square feet to determine the amount of paint needed to paint the house which would be 8 gallons.
What is the reference angle for 4560 degrees?
Answers
Answer:
30 degrees
Step-by-step explanation:
Answer:
30°
Step-by-step explanation:
4560° ÷360°= 12.667 (5 s.f.)
This means that the angle 4560° goes around from quadrant I to quadrant IV 12 times, before coming back to quadrant I. The 13th round does not reach quadrant IV.
So, let's find the angle covered after the 12 full rounds.
12 ×360°= 4320°
remaining angle left
= 4560° -4320°
= 240°
See the attached picture to see where 240° will lie in the quadrants. It lies in quadrant III and its reference angle is the red coloured angle in the picture.
Reference angle
= 270° -240°
= 30°
Need help with this asap.
Answers
-36 4/9 - (-10 2/9)-(18 2/9)
Answers
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]-364/9-(-102/9)-(182/9)[/tex]
[tex]= \frac{148}{3}[/tex] (Decimal: -49.333333)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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If this helped you, could you maybe give brainliest..?
❀*May*❀
Many school districts have a summer vacation that is 72 days long. What percent of the entire year is summer vacation?
Answers
Answer:
20%
Step-by-step explanation:
HELP HELP HELP HELP HELP HELP!!! What symbol is needed between –2 ? |–3| to make a true statement?
Answers
Answer:
[tex]\boxed{<}[/tex]
Step-by-step explanation:
[tex]-2 \ ? \ |-3|[/tex]
[tex]\sf Solve \ absolute \ value.[/tex]
[tex]|-3|=3[/tex]
[tex]-2 < 3[/tex]
[tex]\sf -2 \ is \ less \ than \ 3.[/tex]
Answer:
<
Step-by-step explanation:
|-3| = 3
-2 < 3
1) A furlong is 1/8 of a mile. What part of a mile is 6 furlongs?
Answers
Answer:
6/8 of a mile,
Step-by-step explanation:
if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.
Answer:
3/4 of a mile
Step-by-step explanation:
1 furlong = 1/8 mile
======== ====
6 forlongs = x
cross multiply
1*x = 6 * (1/8)
x = 6/8
reduce 6/8. Divide top and bottom by 2
x = 3/4
Patrick graphed (shown below) the high temperatures (in °C) that he experienced on each day of his trip to
Homer, Alaska
What is the meaning of point A?
Answers
Answer:
(7, -5.5)
Step-by-step explanation:
is seen below on this graph (7, -5.5) shows x = 7 and y = -5.5
Dave loves a bargain and buys a feather boa which
has been reduced in price by 70%. If the sale price
is £2.85, what was the original price of the boa?
Answers
Answer:
£9.50
Step-by-step explanation:
if the price was reduced 70%, then Dave is paying 30% of the original.
0.3 of £ = 2.85
£ = 2.85 / 0.3
£ = 9.5
£9.50
Answer:
$4.84
Step-by-step explanation:
2.85*.70=1.99
2.85+1.99=4.84
i need to know what the answer is!?
Answers
Answer:
2
Step-by-step explanation:
Use PEMDAS
First simplify the exponent (9)
Next multiply 5 and 3 (15)
Now add 15 and 15 (30)
Add 9 and 6 (15)
Lastly simply 30 by 15 (2)
Answer:
[tex]\boxed{A. 2}[/tex]
Step-by-step explanation:
Hey there!
Well we first need to solve the top part.
15 + 5 * 3
5*3 = 15
15 + 15 = 30
3^2 + 6
3*3 = 9
9+6 = 15
Now we have 30 ÷ 15 = 2.
Hope this helps :)
Find the slope of the line.
4/3
-4/3
-3/4
3/4
Answers
Answer:
-3/4
Step-by-step explanation:
slope is rise over run so you go down 3 first is is -3, and then right 4 times which means the slope is -3/4
Find all points having an x- coordinator of 5 whose distance from the point (-1,-3) is 10. (type an ordered pair. Use a comma to separate answers as needed.)
Answers
Answer:
(5,5) and (5,-11)
Step-by-step explanation:
You can find this out by plotting a circle with the diameter of 10 on the point "(-1,-3)". Then find all the times the circle is on the x axis of 5.
Answer:
so when the mughal emperor humayun had died akbar his son was put as kind of india he was 10 yearls old when his father died and then Bairam Khan was elected as a regent for Akbar.
Step-by-step explanation:
A recipe calls for 1/6 teaspoon of oregano and 1 1/4 teaspoon of pepper. What is the ratio of oregano to pepper
a. 1:12
b. 2:15
c. 1:3
d. 2:3
Answers
Answer:
b. 2:15
Step-by-step explanation:
oregano : pepper
1/6 1 1/4
Changing to an improper fraction
1/6 5/4
Multiplying by 12 to get rid of the fractions
12 * 1/6 12*5/4
2 15
1 1/4= 5/4
12•1/6=2
12•5/4= 15
ANSWER: 2:15
PLEASE HELP!! WILL GIVE BRAINLIEST!!!! Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.) **note: please provide me with the numbers that are supposed to go in the blank boxes as you can see in the attachment below.**
Answers
Answer:
At company for less than 2 years:
College degree: 0.24
No college degree: 0.76
At company for more than 2 years:
College degree: 0.7
No college degree: 0.3
Step-by-step explanation:
To find the relative frequency for those at the company for less than 2 years with a degree:
5 + 16 = 21
5 / 21 = 0.23809523809
≈ 0.24
To find the relative frequency for those at the company for less than 2 years with a degree:
5 + 16 = 21
16 / 21 = 0.7619047619
≈ 0.76
Check:
0.24 + 0.76 = 1
To find the relative frequency for those at the company for more than 2 years with a degree:
14 + 7 = 21
14 / 21 = 0.666..
≈ 0.70
To find the relative frequency for those at the company for less than 2 years with a degree:
14 + 7 = 21
7 / 21 = 0.333..
≈ 0.30
Check:
0.70 + 0.30 = 1
I really hope this helps! Tell me if I'm wrong!
