Answers
Answer:
a). Volume of the cone = 301.6 cm³
b). Curved surface area of the cone = 188.5 cm²
Step-by-step explanation:
Formula for volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Where r = radius of the circular base of the cone
h = height of the cone
a). Volume of the given cone = [tex]\frac{1}{3}\pi (6)^{2}(8)[/tex]
= 96π
= 301.59
= 301.6 cm³
b). Curved surface area of the cone = πrl
Here r = radius of the circular base
l = lateral height of the cone
Curved surface area of the cone = π(6)(10)
= 60π
= 188.49
≈ 188.5 cm²
Related Questions
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Answers
Answer:
D. a = 29, b = 16, c = 24, d = 30, e = 22
Step-by-step explanation:
got it right on edge
The number of students who like both algebra and geometry is 27.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.
The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.
The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.
The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).
We are given that:
A = 45
G = 53
U = 75
U - (A ∪ G) = 6
Now,
U - (A ∪ G) = 6
75 - (45 + 53 - A ∩ G) = 6
27 = A ∩ G
Therefore,
The number of students who like both algebra and geometry is 27.
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The complete question.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Find the number of students who like both algebra and geometry.
Corsi et al. (2007) conducted a study of the factors mediating whether injection drug users enter a drug treatment program. In their sample of 491 drug users, 38.1% were single; 27.5% were married or had a partner; and 34.4% were divorced, separated, or widowed. Of the drug users who actually entered a treatment program, 67 were single; 66 were married or had a partner; and 61 were divorced, widowed, or separated. What kind of statistical chi-square test should Corsi use to analyze the data?
Answers
Answer:
answer mine i will answer yours
Step-by-step explanation:
find ABD
help please!!
Answers
Answer:
20 degrees
Step-by-step explanation:
If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!
Answer:
[tex]m\angle ABD =20^\circ[/tex]
Step-by-step explanation:
According to the given statement the two angles are equal.
[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]
Best Regards!
Whats is rusult of : ( - 2x² )³ . ( - 3x )²
Answers
Answer:
[tex]-72x^8[/tex]
Step-by-step explanation:
=> [tex](-2x^2)^3*(-3x)^2[/tex]
=> [tex]-8x^6*9x^2[/tex]
=> [tex](-8*9) *(x^6x^2)[/tex]
When bases are same powers are to be added
=> [tex](-72)(x^{6+2})[/tex]
=> [tex]-72x^8[/tex]
Answer:
[tex]- 72x^{8}[/tex]
Step-by-step explanation:
[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]
Distribute the exponents to the brackets.
[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]
[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]
[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]
[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]
[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]
Multiply like terms and add exponents with same bases.
[tex]- 72 \times x^{2+6}[/tex]
[tex]- 72 \times x^{8}[/tex]
A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3
Answers
Answer:
V = πr^2h
V = 40π m^3
Step-by-step explanation:
volume of a cylinder
V = Bh,
where B = area of the base
When the base is a circle, then the area of the base is
B = πr^2
Then the volume of the cylinder is
V = πr^2h
You are given the radius is 2 m, and the height is 10 m, so you have
r = 2 m, and h = 10 m
V = π(2 m)^2(10 m)
V = π(4)(10) m^3
V = 40π m^3
Answer:
40
Step-by-step explanation:
just got it right
Solve the following quadratic equations
[tex]x { }^{2} - x - 42[/tex]
[tex]x {}^{2} + x - 6[/tex]
[tex]r {}^{2} - 25[/tex]
Answers
Answer:
see explanation
Step-by-step explanation:
To solve these equations equate them to zero, that is
x² - x - 42 = 0
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6, since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
(x - 7)(x + 6) = 0
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 6 = 0 ⇒ x = - 6
Solutions are x = - 6, x = 7
---------------------------------------------------------
x² + x - 6 = 0 ← in standard form
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Solutions are x = - 3, x = 2
------------------------------------------------------------
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take the square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
Solutions are x = - 5, x = 5
please help :( best explanation i give brainliest :)
Answers
Answer:
Chopped tomatoes
= 3/4 x 800 = 600g
Stock
= 3/4 x 600 = 450 ml
Red wine
= 3/4 x 300 = 225 ml
Answer: See below
Step-by-step explanation:
For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.
Chopped tomatoes
[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex] [cross multiply]
[tex]400x=240000[/tex] [divide both sides by 400]
[tex]x=600g[/tex]
We will need 600 g chopped tomatoes.
------------------------------------------------------------------------------------------
Stock
[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex] [cross multiply]
[tex]400x=180000[/tex] [divide both sides by 400]
[tex]x=450[/tex]
We will need 450 ml of stock.
------------------------------------------------------------------------------------------
Red wine
[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex] [cross multiply]
[tex]400x=90000[/tex] [divide both sides by 400]
[tex]x=225[/tex]
We will need 225 ml of red wine.
A tent in the shape of a triangle prism is made using the following piece of fabric.
Find the surface area of the fabric. Explain your reasoning
Answers
Answer:
85.84 ft²
Step-by-step explanation:
The surface area of the fabric would be the total net area of the shape of the tent covered.
Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces
From the diagram given, the 3 rectangular faces have the same dimensions as follows:
L = 6ft
W = 4ft
Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²
The 2 triangular faces have the same dimensions as follows:
B = 4f
H = 3.46ft
Area of the 2 triangular faces = 2(½*B*H)
= 2(½*4*3.46)
= 2(2*3.46)
= 2(6.92)
= 13.84 ft²
Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²
Answer:
85.84
Step-by-step explanation:
1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here
Answers
Answer:
933+x < 1500
Step-by-step explanation:
Let x be the next purchase
The first charge of 933 and the next purchase is less than 1500 dollars
933+x < 1500
Answer:
1500>933+c
Step-by-step explanation:
,............
square root of 0.925 by long division method
Answers
0.96176920308
Hope it Helps you :)which function is graphed below
Answers
Answer:
y = tan(x) - 2
Step-by-step explanation:
Answer:
y=tan(x)-2
Step-by-step explanation:
5-star rating for right answer
Answers
Answer:
B(3, 8 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
let the coordinates of B = (x, y )
Then apply the formula and equate coordinates to midpoint coordinates, that is
x = [tex]\frac{1}{2}[/tex] (x + 1) = 2 ( multiply both sides by 2 )
x + 1 = 4 ( subtract 1 from both sides )
x = 3
-----------
y = [tex]\frac{1}{2}[/tex] (y + 2 ) = 5 ( multiply both sides by 2 )
y + 2 = 10 ( subtract 2 from both sides )
y = 8
----------
Thus B = (3, 8 )
If you start with 2 and count by 3s until you reach 449, you will get the sequence: 2, 5, 8, 11, …, 449. If 449 is the Nth number, what is the value of N?
Answers
Answer:
150
Step-by-step explanation:
The terms in the sequence form an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
2 + 3(n - 1) = 449
2 + 3n - 3 = 449
3n - 1 = 449 ( add 1 to both sides )
3n = 450 ( divide both sides by 3 )
n = 150
What is the minimum number of triangles needed to construct a hexagon?
Answers
Answer:
Please the answer is option d.
Hope this helps.
Answer:
the minimum number of triangle needed to construct a hexagon is 6
I need help appreciate it
Answers
Answer:
B. 1/25
Step-by-step explanation:
This question asks us to find (-2), or f(x) when x is equal to -2.
We know that f(x)=5^x. We also know that we are trying to find f(-2). Therefore, we must substitute -2 in for x.
f(x)=5^x
x= -2
f(-2)= 5^-2
Negative exponents follow the rule:
x^-b= 1/x^b
Rewrite the exponent according to this rule.
5^-2=1/5^2
f(-2)= 1/5^2
Evaluate the exponent in the denominator.
5^2=5*5=25
f(-2)=1/25
f(-2) is equal to 1/25, therefore B is the correct answer.
Answer:
Ok,you just need to replace the x for -2
F(x)=5^x
[tex]f(-2)=5^{-2}[/tex]
[tex]f(-2)=\frac{1}{25}[/tex]
So, the correct answer is B
I hope this help you :)
find the surface area of a cuboid
Answers
Answer:
143.52 cm^2Solution,
Length(l)=7.2 cm
Breadth(b)=3.1 cm
Height(h)=4.8 cm
Now,
[tex]surface \: area \: of \: cuboid \\ = 2(l \times b + b \times h + h \times l) \\ = 2(7.2 \times 3.1 + 3.1 \times 4.8 + 4.8 \times 7.2) \\ = 2(22.32 + 14.88 + 34.56) \\ = 2(71.76) \\ = 143.52 \: {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment..
The surface area of cuboid is 143.52 square centimeters whose length is 7.2cm, width is 3.1 cm and height is 4.8 cm.
The formula for surface area of cuboid:
Surface area = 2(l×w + w×h + h×l).
Where l is length,
w is width,
h is height,
l=7.2 cm, w = 3.1cm and h=4.8 cm.
Plug in these values in above formula:
Surface area = 2(7.2×3.1 + 3.1×4.8 + 4.8×7.2)
=2(22.32 + 14.88 + 34.56)
=2(71.76)
=143.52
Hence, the surface area of cuboid is 143.52 square centimeters.
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Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answers
Answer:
4 * 10 ^-4
Step-by-step explanation:
2 * 10 ^- 6 * 2 * 10 ^2
Multiply the numbers
2*2 = 4
Add the exponents
10 ^ (-6+2) = 10 ^-4
4 * 10 ^-4
Name the line and plane shown in the diagram. I will make you a brainllest
Answers
Answer:
see below
Step-by-step explanation:
The line is AB with ↔ over it
The Plane requires 3 letters not all in a line
The plane name is ABD
The cost of endless chicken wings and sauce at resturant X is $10. The cost of chicken wings at Resturant Z is $0.50 per wings plus a one-time $1.50 charge for sauce. The total cost, c, of n chicken wings can be represented by a system of equations.
Answers
Answer:
10=.50n+1.50
Step-by-step explanation:
The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50
c = total cost
n = number of chicken wings
Therefore,
The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.
The system of equation that represent the system is as follows:
c = 0.50n + 1.50
The one time fee for sauce is just like a constant in the equation.
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A relação entre o tempo e a distância percorrida pelo ciclista é uma função? Justifica.
Answers
Answer: Yes, it is a function.
Step-by-step explanation:
This question is:
"A relation between time and distance traveled by a biker is a function?"
Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.
In this relation the domain is time and the range is the distance.
Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.
Which equation has a contant of proportionality equal to 1/2
Answers
Answer:
c
Step-by-step explanation:
1 = 3
2 6
Cross multiply:
1 * 6 = 2 * 3
Simplifying
1 * 6 = 2 * 3
Multiply 1 * 6
6 = 2 * 3
Multiply 2 * 3
6 = 6
Add '-6' to each side of the equation.
6 + -6 = 6 + -6
Combine like terms: 6 + -6 = 0
0 = 6 + -6
Combine like terms: 6 + -6 = 0
0 = 0
Solving
0 = 0
Find the equation of a
parabola with focus (6,0)
and vertex at the origin. Show all steps and explain please
Answers
Answer:
If your vertex is at the orgin you can't have a point on (6,0)
Step-by-step explanation:
Answer:
y^2=2/3x
Step-by-step explanation:
Since the vertex is at the orgin and the focus is on the right side of the x axis,
the parabola will open right!
(h,k)
it would be a y^2=4px equation
6/4 = 2/3
Just always divde four by the focus
Asap help like 911 help please
Answers
Answer:
Brainleist!
Step-by-step explanation:
See picture
find the amount at compound interest that #600 would be at 3% the end of the first year, 2% at the end of the second year
Answers
Step-by-step explanation:
First we find the interest at the end of the first year.
Principal = #600
Rate = 3%
Time = 1 year
Interest = [tex]\frac{600 * 3 * 1}{100}[/tex]
= #18
Amount = #618 at the end of the first year
Now at the end of the second year.
Principal now = #618
Rate now = 2%
Time = 1 year
Interest = [tex]\frac{618 * 2 * 1}{100}[/tex]
= #12.36
Amount = #630.36 at the end of the second year
There are 59 chips numbered from 1 to 59 placed in a barrel. One chip is randomly pulled from the barrel. What is the probability that the number on the chip is greater than or equal to 44? A. 16/17 B. 43/59 C. 43/44 D. 16/59
Answers
Answer:
D
Step-by-step explanation:
59 - 44 + 1 = 16.
16/59
Please mark as brainliest!
Answer:
D
Step-by-step explanation:
count 44,45,46... , then count how many numbers you counted
Find the area of a rectangle with the following dimensions
Length=×+3
Width=4
Answers
Answer:
4x+12
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = (x+3) *4
Distribute
A = 4x+12
f(x)=(3 x-1)(2 x + 1)
Answers
Answer:
[tex]f(x)=6x^2+x-1[/tex]
I hope this help you :)
Please help me b4 11:59 7-1-20
Answers
Answer : The length of QT is 19.
Step-by-step explanation :
As we are given:
Length of RT = 11
Length of RS = 8
As we are given that R is the mid-point of line QS. That means,
Length of RS = Length of QR = 8
Now we have to calculate the length of ST.
Length of ST = Length of RT - Length of RS
Length of ST = 11 - 8
Length of ST = 3
Now we have to calculate the length of QT.
Length of QT = Length of QR + Length of RS + Length of ST
Length of QT = 8 + 8 + 3
Length of QT = 19
Therefore, the length of QT is 19.
Maria measured a centipede that was 1 1/12inches long. Jerome measured a centipede that was 11/12 of an inch long. How much longer was Maria's centipede than Jerome?
Answers
Answer:
2/12
Step-by-step explanation:
The centipede that Maria measured was 1 1/12 inches long. If you convert this to an improper fraction it is equal to 13/12 inches. Now to find how much longer Maria's centipede was than Jeromes, you just take 11/12 and minus it from 13/12 which is equal to 2/12 of an inch.
If sin 25° =cos(y+50°),find y
Answers
Answer:
15 deg
Step-by-step explanation:
Sine and cosine are co-functions, so
sin x = cos(90 - x)
sin 25 = cos(90 - 25)
sin 25 = cos 65
y + 50 = 65
y = 15