Answer:
its 1/3 of the volume of a cyinder with the same base
Step-by-step explanation:
a pyramid has the same policy with prisms of the same base
Volume is a three-dimensional scalar quantity. If the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Assume a cone and a cylinder such that the radius of the base of both the figures is r units, while the height of the cone and cylinder both is h units.
The volume of the cone with radius r units and height h units now can be written as,
Volume of the cone = (1/3) × π × r² × h units³
The volume of the cylinder with a radius of r units and the height of h units now can be written as,
Volume of the Cylinder = π × r² × h units³
Taking the ratio of the volume of the cone and the volume of the cylinder,
Volume of the cone/Volume of the cylinder = (1/3)πr²h units³ / πr²h units³
Volume of the cone/Volume of the cylinder = 1/3
Volume of the cylinder = 3 × Volume of the cone
Hence, if the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
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4. What is the factored form of the expression 49x2 + 20?
A (7x + 215)(7x - 2/5)
B (7x + 2iV5) (7x - 2i75)
C (7xi + 275) (7xi - 215)
D (7xi +2175) (7xi - 2175
The factored form of the expression would be; (7x + 2√5) (7x - 2√5)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression form 49x² + 20
Therefore, 49 is a perfect square,
This expression could also be given as;
(7x)²- (2√5)²
Now, we know that:
a²- b² = (a + b) (a - b)
Now plug the values then we have:
(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)
Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)
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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ 49x² + 20
The expression can be written as,
⇒ 49x² - 20i²
Simplify the expression, then we have
⇒ 49x² - 20i²
⇒ (7x)² - (2i√5)²
⇒ (7x - 2i√5)(7x + 2i√5)
The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
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6. Just because a diet is popular does not mean it is safe and effective. True False
HELP FAST!
Not really math its PE
Answer:
true
Step-by-step explanation:
the answer is true hope this helps
True or False? The blue radius is perpendicular to the green chord.
The statement that the blue radius is perpendicular to the green cord is false
From the complete question,
The blue radius does not bisect the green chord
This means that the blue radius and the green chord do not meet at 90 degrees
Since both lines do not meet at 90 degrees, then they are not perpendicular
Hence, the statement that the blue radius is perpendicular to the green cord is false
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Nicole deposits $300 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years
Answer:
the answer is 45%
y-step explanation:
if not sorry :(
PLEASE HELPPP I WOULD REALLY APRECIATE IT♥
Answer:
C. x = -2
Step-by-step explanation:
Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
The length of the suit case is 24 inches while the height is 18 inches
Give me the answer in i will give you brainliest
Step-by-step explanation:
Given that,
The length of a baseball is 29 inches
Logan thinks he can bring the baseball bat home in his suitcase.
The length of the suit case is 24 inches while the height is 18 inches. We can find the diagonal (x) of the suitcase using Pythagorean Theorem as follows :
[tex]x^2=24^2+18^2\\\\x=\sqrt{900} \\\\x=30\ \text{inches}[/tex]
The diagonal of the suitcase is 30 inches. It means that he can put the baseball bat in the suitacse easily.
Will give brainliest if you are right.
Answer:
X intercept is (2,0)
Y intercept is (0,-4)
Gib brainliest hahaha
(but hope i helped :)
Tony weighs T pounds. Tony’s father Jim weighs 4 pounds less than twice the weight of Tony. Write an expression to represent Jim’s weight.
Answer:
2T - 4 = J
Step-by-step explanation:
J = Jim
T = Tony
Jim is 4 less than twice the weight of Tony = 2T - 4 = J
Ava has to attend at least 45 physics classes every semester to earn attendance points. If she can attend 3 classes every week, write an inequality that determines the minimum number of weeks Ava should attend physics classes. PLEASE ANSWER!
Answer:
45= 3x
Step-by-step explanation:
45 classes= 3 classes × x weeks
Draw the solution for 4(2+10) when using the distributive
property.
find the value of x , this like similar right triangles and geometric means and stuff
Answer:
16
Step-by-step explanation:
We can calculate the value of x using Euclidean theorem
15^2 = 9 × (x+9)
225 = 81 + 9x subtract 81 from both sides
144 = 9x divide both sides by 9
16 = x
What is the discounted price of a $150 gaming chair with a discount of
15%?
what is 30=2.5(10-2x)
Answer: if u looking for x it - 1
Answer:
x=-1
Step-by-step explanation:
30=25-5x
5=-5x
-1=x
given f(x)=x^2-3x+10 find f(-2)
Answer:
there is the answer....
...
What is the slope of a line passing through the points (-1, 3) and (4, -7)
A. -2
B. -4/3
C. 3/4
D. 2
Answer:
A
Step-by-step explanation:
-7-(3)/4-(-1)=-10/5 which is -2
Use the slope formula y2-y1/x2-x1 to solve
Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.
Answer:
s=40w+350; s=$1,070
Step-by-step explanation:
Our equation looks like this:
s=40w+350
Next we plug in 18 for w, our number of weeks.
s=40(18)+350
Multiply the 40 and 18.
s=720+350
Add the 350 and 720.
s=1,070
Add a dollar sign to say that the amount is in dollars.
s=$1,070
HTH :)
The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.
Total amount of money in the savings account after 18 weeks is
What is an Equation?An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.
There are left hand side and right hand side for every equation and may or may not include variables.
S is the total amount of money in the savings account of Yoko.
W is the number of weeks Yoko has been adding money.
Initial money = 350
After 1 week total money = 350 + (1 × 40)
After 2 weeks, total money = 350 + (2 × 40)
It goes on like this until the last week.
So after W weeks total money = 350 + (W × 40)
Total amount of money in the savings account after W weeks, S = 350 + 40W.
After 18 weeks, S = 350 = (40 × 18) = $1070
Hence the equation relating W and S is, S = 350 + 40W.
Total amount of money after 18 weeks = $1070
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answer to question below
Answer:
13n+20
Step-by-step explanation:
Each book costs $13 with a flat rate of $20
You pay $13 for each book, which will be n. And aside from that you also pay for shipping, which will be another $20
So the correct answer is: 13n+20
Holly stops to drink 5 ounces of water every two miles she
runs. The further that Holly runs, the more she drinks water.
Complete the table by writing two equivalent ratios
Answer:
the amount of water she drinks is x, the mileage is y:
x y
2 miles 5 oz
4 miles 10 oz
6 miles 15 oz
the ratios would be 4/10 and 6/15
Step-by-step explanation:
for every 2 miles Holly runs, she drinks 5 oz of water, right? the ratio is 5:2, so if you were to come up with other numbers that match the ratio, they have to be divisible by the parts of the ratio. so if she runs 2 miles, she drinks 5 oz. if she runs 4 miles, then she drinks 10 oz.
think of a ratio like a fraction (in this case it would be 2/5). if you were to make equivalent ratios, then the two fractions would have to be equal, right? well, when you simplify all of the numbers listed in the table above after making them into fractions, they would all go back to 2/5, so the numbers i came up with above are equivalent ratios, meaning they have the same value when simplified.
hopefully that helps and isn't too confusing! if you need other help, let me know! :)
Diane earns $14,500 a year. She pays 11% of her gross income for federal, state, and local taxes. She is taxed at the FICA rate of 7.65%. She has 3.5% of her income withheld for personal deductions. She is paid biweekly. What is her net pay for each pay period? Round to nearest cent.
Answer:
$434.16346
Step-by-step explanation:
Given that :
Gross earning= $14500
Federal, state and local taxes = 11%
0.11 * $14500 = $1595
FICA tax rate = 7.65%
0.0765 * 14500 = $1109.25
Personal deduction :
3.5% * 14500
0.035 * 14500 = $507.50
Total deduction :
$(1595 + 1109.25 + 507.50)
= $3211.75
Net earning : $(14500 - 3211.75) = 11288.25
Since she is paid bi weekly:
Number of biweeks in a year = 52 /2 = 26
Number of payments per annum = 26
Hence,
Net pay per period :
11288.25 / 26
= $434.16346
=
Please help Is this correct???
Answer:
I think so.
Step-by-step explanation: Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. Therefore, your answer is correct.
what properties is used in this equation 4(x + 5) = 40
Answer:
Distributive property
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
Answer:
So he can buy 15 + he will have on his card left 0.65$
Step-by-step explanation:
20 / 1.29 = 15 song's
20 - 19.39 = 0.65
So he can buy 15 + he will have on his card left 0.65$
the person above me is correct.
Help me please......
Answer:
Approx. 73°
Step-by-step explanation:
no clue what to do lol
Answer:
Thanks for the free points
Answer:
So, the answer for b is 20.
The way to figure this out is:
angle N is congruent to angle S
angle M is congruent to angle M
side NM is 10
because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)
Hope that helps! Let me know if it does! ;P
“Explain or show why 4:3 and 3:4 are not equivalent ratios.” Pls this is due today at 12:00 p.m
answer this for me please gotta hurry!! 4x10^-2
Answer:
1/25 or 0.04 in decimal form
Step-by-step explanation:
i just used a calculator-
please help i am desperate.
Answer:
3y +9 = perimeter
Step-by-step explanation:
Answer:
4y+9
Step-by-step explanation:
To find the perimeter , you have to add up all the 4 sides
so y + y+2 + y+4 + y+3 = 4y+ 9
hope it helps
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)
PLEASE ANSWER ASAP!!!!
Answer:
Step-by-step explanation:
you suck
Brainlest to whoever can tell me what pi stands for
Hi!
Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.
Hope this Helps!
Yours Truly,
~~~PicklePoppers~~~Factor completely: f(x) - 2x^2 - 3x - 2
Answer:
(2x+1) (x-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
