Answer:
volume = 23.86in³surface area = 16π in²Step-by-step explanation:
Given the diameter of the base of the cone = 4.0inches
radius of the cone = 4.0/2 = 2.0inches
slant height l = 6.0inches
Volume of the ice cream that made the cone = 1/3[tex]\pi r^{2}h[/tex]
to get the height of the cone we will use the Pythagoras theorem.
According to the theorem, [tex]hyp^{2}=Adj^{2}+opp^{2}[/tex]
given hyp = slant height = 6in
adjacent = base radius = 2in
height = opposite
opp = [tex]\sqrt{6^{2} - 2^{2} }[/tex]
opp = [tex]\sqrt{32}[/tex]
opp = height = 5.7in
Volume = 1/3 * 3.14 * 2² * 5.7
volume = 23.86in³
For the surface area;
Surface area of a cone = πr(r+l)
surface area = 2π(2+6)
surface area = 16π in²
The radius of a cylindrical water tank is 4 ft , and its height is 10 ft . What is the volume of the tank?
Use the value 3.14 for , π and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
2010 cu ft to the nearest whole number.
Step-by-step explanation:
Volume = π r^2 h
= 3.14 * 4^3 * 10
= 2009.6
The volume of the water tank is approximately 502 cubic feet.
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
We have,
The volume V of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base and h is the height.
Substituting the given values, we get:
V = π (4 ft)² (10 ft)
V = 3.14 (16 ft²) (10 ft)
V = 502.4 ft³
Rounding this answer to the nearest whole number gives a final answer of V = 502 ft^3.
Therefore,
The volume of the water tank is approximately 502 cubic feet.
Learn more about cylinder here:
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In the Income section shown below from the 1040EZ form, a single taxpayer
filing her federal income tax return entered $0 on line 6 for her taxable
income. Assuming that nobody can claim the taxpayer as a dependent, which
of these dollar amounts could have been on line 4 for adjusted gross income?
Answer: D.9100
Step-by-step explanation:
Answer:
The correct answer is $9,100
Step-by-step explanation:
Jen and Holly are on the Athletic council and want to put a blow up version on the school mascot in the parking lot. They need to tie it down.
Jen’s rope is 7.8 m long and makes an angle of 360 with the ground. Holly’s rope is 5.9 m long. The wind is really strong so they will secure both ropes to the left of the mascot. How far to the nearest tenth of a metre, is Jen from Holly?
Answer:
2.6 m
Step-by-step explanation:
In the attached diagram
Consider Triangle ABC
[tex]\sin36^\circ =\dfrac{|BC|}{7.8} \\|BC|=7.8*\sin36^\circ\\|BC|=4.5847$ m[/tex]
Our goal is to determine the distance of Jen (at point A) to Holly (at Point D).
In Triangle ABC
[tex]\cos 36^\circ =\dfrac{|AC|}{7.8} \\|AC|=7.8*\cos36^\circ\\|AC|=6.3103$ m[/tex]
In Triangle BDC
Applying Pythagoras Theorem
[tex]|BD|^2=|BC|^2+|CD|^2\\5.9^2=4.5847^2+|CD|^2\\|CD|^2=5.9^2-4.5847^2\\|CD|^2=13.7905\\|CD|=\sqrt{13.7905}=3.7136$ m[/tex]
Now, |AC|=|AD|+|DC|
6.3103=|AD|+3.7136
|AD|=6.3103-3.7136
|AD|=2.5967
|AD|=2.6m (correct to the nearest tenth of a metre)
The distance of Jen from Holly is 2.6m.
You roll a fair 6-sided die.
What is P(not 3)?
Answer:
The answer would be 5/6.
Step-by-step explanation:
Find GCF=greatest common factor.
Answer:
1. 24/36 2. 20/35
G.C.F=2/3 G.C.F=4/7
All the answers is good!
Help thank you show work
Answer: x = 12 degrees.
Step-by-step explanation:
The triangle ABC is a right triangle, which means that it has a right angle of 90 degrees.
This is represented by the small square on the bottom-left corner of the triangle.
The angle DBC is 78 degrees. There is also the angle of ABD, which is represented by X.
The right angle is equivalent to 78 degrees and x. You can represent this in an equation, where the sum of 78 degrees and x = 90 degrees, the right angle:
78 + x = 90
x = 12
Please help and get points
Answer:
???
what is the question
Step-by-step explanation:
Answer:
What is your question
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below
Answer:
the value of x is 8
x=8
HOPE IT'S HELP
Mike wants to save $1,750 in the next 12 months. He plans to save $150 each month for the first 11 months. What is the total amount of money Mike will save during the first 11 months if he saves $150 each month?
Please need steps
Answer:
$1650
Based on the question, we don't need the information that Mike wants to save 1750 in 12 months.
We just need to focus on how he is saving 150 every month, for 11 months.
150*11=1650
He will save $1650 if he saves $150 every month for 11 months.
Step-by-step explanation:
Can i get brainiliest plz
camille has 18.90 to spend on groceries. after buying 10 grapefruits she had 3.90 left. if each grapefruit costs the same amount. what is the price of one grapefruit
Answer:
1.5
Step-by-step explanation:
18.90-10x=3.90
10x=15
x=1.5
if you roll a fair 6 sided die what is the probability it will roll greater then 6
Answer:
0 (zero)
the die is six sided............
I hope this helps
Answer:
0!
Step-by-step explanation:
Factorise the expression (c+2d)^2-(c+2d)(3c-7d)
Answer:
(c + 2d) • (9d - 2c)
Step-by-step:
Step 1 :
Equation at the end of step 1 :
((c + 2d)2) - (c + 2d) • (3c - 7d)
Step 2 :
Pulling out like terms :
2.1 Pull out c+2d
After pulling out, we are left with :
(c+2d) • ( (c+2d) +( (-1) * (3c-7d) ))
Answer:
(c+2d)(9d - 2c) = [tex]5dc - 2c^{2} + 18d^{2}[/tex]
Step-by-step explanation:
[tex](c+2d)^{2} - (c+2d)(3c-7d)[/tex]
[tex](c+2d)(c+2d) - (c+2d)(3c-7d)[/tex]
Both sides have (c+2d) so pull out (c+2d)
Rule: a.b + a.c = a(b+c)Rule: a.b - a.c = a(b-c)(c+2d) [(c+2d) - (3c-7d)]
(c+2d) [c+2d - 3c +7d]
(c+2d) [-2c + 9d] = (c+2d)(9d - 2c)
Rule: (a+b)( c + d) = ac + ad + bc + bd ==> Foil method(c+2d)(9d - 2c) = [tex]9dc - 2c^{2} + 18d^{2} -4dc[/tex] = [tex]5dc - 2c^{2} + 18d^{2}[/tex]
Hope this helps ^-^
At a sandwich shop, they charge $2.75 for the basic sandwich and then $0.45 per ounce for the toppings. If
Willa paid for her sandwich with a $5 bill, how many ounces of toppings could she have ordered?
Answer: 3 toppings
Step-by-step explanation: If 2 topping equals $1 then its would come out to $3.75.$0 .75+$0.45= $1.20 the.n $3.75+ $1.20 = $4.95. That comes up to 3 toppings
in a class of 30, 80 percent of students answered a question correctly. how many got it right?
Answer:
24
Step-by-step explanation:
Take the number of students and multiply by the percentage to see how many got it right
30 *80%
Change to decimal form
30 *.8 =24
24 students got it correct
An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You Buy an album for $12 right and solve any quality that represents how much more money and we will spend to receive the three free songs
Answer:
need to spend $18 more in addition to $12
Step-by-step explanation:
Given: According to online music store, if you spend $30 or more, you receive 3 songs for free
To find: How much more money need to be spend in addition to $12 to receive three free songs
Solution:
Let x denotes amount to be spend in addition to $12 to receive three free songs
According to question,
[tex]x+12\geq 30\\x\geq 30-12\\x\geq 18[/tex]
Find the Two Values that x can have if X^2 -10=26
Answer:
+6 and -6.
Step-by-step explanation:
x^2 - 10 = 26
x^2 = 26 + 10 = 36
x = +/- 6.
The two values which x can have will be +6 and -6
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c =0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Let the equation be f ( x )
The equation f ( x ) is x² - 10 = 26
Now , adding 10 on both sides , we get
x² = 36
Taking square roots on both sides , we get
x = ±6
We know , (-6)² = 36 and (+6)² = 36
Therefore , x can have 2 solutions , which is ±6
Hence , the two values which x can have will be +6 and -6
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Please help with this question!!! It’s rlly simple!
Answer:
D. Multiply the second equation by 5
The best answer would have been to multiply the first equation by 1
I hope it helps
Which compound inequality could this graph be the solution of
Answer:
2x + 3 ≥ 11 or 4x - 7 ≤ 1
Step-by-step explanation:
2x + 3 ≥ 11 or 4x - 7 ≤ 1 is the correct answer for this question.
2x + 3 ≥ 11 and 4x - 7 ≤ 1
⇒ 2x ≥ 8 and 4x ≤ 8
⇒ x ≥ 4 and x ≤ 2
Hope this helps.
Brainliest question Please help me now plz
Answer:
A. Inside the circle
Step-by-step explanation:
K(0, 0), U (6, - 4), V ([tex] \sqrt 2,\: 7)[/tex]
In order to determine whether point V lie inside, outside or on the circle, first we will find the distances between points K & U and then K & V.
KU would be radius of the circle.
If KV is smaller than KU, then V will lie inside. If KV is larger than KU, then V will lie outside And If KV = KU, then V will lie ion the circle.[tex]d(KU) = \sqrt{ {(6 - 0)}^{2} + {( - 4 - 0)}^{2} } \\ = \sqrt{ {6}^{2} + {( - 4)}^{2} } \\ = \sqrt{36 + 16} \\ \red{ \bold{ d(KU)= \sqrt{52} }} \\ \\ d(KV) = \sqrt{ {( \sqrt{2} - 0)}^{2} + {( 7 - 0)}^{2} } \\ = \sqrt{ {( \sqrt{2)} }^{2} + {(7)}^{2} } \\ = \sqrt{2 + 49} \\ \purple{ \bold{ d(KV)= \sqrt{51} }} \\ \\ \because \: d(KU) > d(KV) \\ [/tex]
Hence point V lie inside of the circle.
find the radius!! hurry
Answer:
r = 18.8
Step-by-step explanation:
We use the circle sector area formula and solve for the radius.
I attached the work to your problem. See the attached file.
A cube fish tank has a side length of 12 inches. What is the surface area of the fish tank, including the base and lid? Answer without units
Answer:
864
Step-by-step explanation:
Because the tank is a cube, all 6 faces have dimensions of 12 by 12. Therefore, the surface area is 6 * (12 * 12) = 864 (in²)
a length of rope 4.12 ft long is cut into pieces 2.06 ft long. About how many pieces would there be? Use estimation to determine your answer
Answer:
2
Step-by-step explanation:
4.12/2.06 = 2
0.5 +6.38=6.9 because 0.5 is precise to the tenth digit so the answer must also be rounded to the nearest tenth true or false?
Answer:
True
Step-by-step explanation:
The rules of significant figures
Answer:
True
Step-by-step explanation:
correct on homework
What is the y-value of the vertex of the function f(x)=-(x+8)(x-14)?
3
6
112
121
Answer:
121
Step-by-step explanation:
Given
f(x) = - (x + 8)(x - 14) ← expand factors using FOIL
= - (x² - 6x - 112) ← distribute by - 1
= - x² + 6x + 112
Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = - x² + 6x + 112 ← is in standard form
with a = - 1 and b = 6, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3
Substitute x = 3 into f(x) for corresponding value of y
f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121
vertex = (3, 121 ) ← with y = 121
Answer:
D. 121
Step-by-step explanation:
Someone please help me
I think the slope is 4.
slope=rise/run
=20/5=4
Find the unit rate:
Carmen received a paycheck of $350 for 49 hours of work.
Answer:
Carmen received $7.14 for each hour she worked.
Step-by-step explanation:
$350 for 49 hours of work
Write an equation, with hours as the variable
$350 = 49h
Divide both sides of the equation by 49 to find the unit rate
h = $7.14
Carmen received $7.14 for each hour she worked.
Hope this helps :)
The sum of three and four tenths and a number is six and six tenths.
Answer:
3.2 (and the equation is 3.4 + x = 6.6)
Step-by-step explanation:
the word problem is written as:
3.4 + x = 6.6
we want to solve for x.
to isolate x by itself, subtract 3.4 from both sides. (3.4 - 3.4=0 & 6.6 - 3.4 = 3.2)
now we have x = 3.2
so x equals 3.2
hope this helps!! :)
Please help! Correct answers only please!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!
please help it's in math
Answer:
Step-by-step explanation:
area of front face=(12+8)/2 ×8=80 cm²
volume=80×22=1760 cm³
Which statements are true about the median
Answer:
First, Third, Fifth statements are true about the median of a data set. Step-by-step explanation: Median is the middle value . Median isn't affected much by one outlier because median is the middle value of an ordered sequences of value