What is the surface area of the ice cream
cone? (Hint: The top of the cone is open and
not included in the surface area.)
mm
Cone Surface Area =
Answers
Answer:
[tex]13194.7\ mm^2[/tex]
Step-by-step explanation:
The total surface area of a cone is given by:
Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]
where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]
Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:
[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]
Related Questions
There are 54 benches and 6 picnic tables in a park. What is the ratio
of the number of picnic tables to the number of benches in its
simplest form??????????????????????????????/
Answers
Answer:
1 picnic table : 9 benches
Step-by-step explanation:
You just simplify the equation down to its simplest form, so since they both have the gcf of 6, you divided both sides by 6, which results in the answer above.
There is a square field of side 45m. There is a well in this field of area of 5 sq. Metre. In the remaining part, we plant coconut trees at the rate of one plant per sq.Metre . How many trees can be planted in the field? If the cost of planting one tree is Rs. 75. What is the total cost of planting the trees?
Answers
Answer:
Numbner of plant in field = 2,020
Cost of planting trees = R.s 151,500
Step-by-step explanation:
GIven:
Side of square field = 45 m
Area of well = 5 square meter
1 plant = 1 squre meter
Cost per tree = R.s 75
Find:
Numbner of plant in field
Cost of planting trees
Computtaion:
Area of planting trees = Area of filed - Area of well
Area of planting trees = [45 x 45] - 5
Area of planting trees = 2,025 - 5
Area of planting trees = 2,020 squre field
Numbner of plant in field = Area of planting trees / 1 squre meter
Numbner of plant in field = 2,020
Cost of planting trees = 75 x Numbner of plant in field
Cost of planting trees = 75 x 2,020
Cost of planting trees = R.s 151,500
what will the remainder over the divisor?
Answers
Find the missing length of the triangle. 3.4 and 3.0
Answers
Answer:
4
Step-by-step explanation:
3 + 3.4 = 6.4
which is greater than 4
the sum of the 2 smallest sides have to be greater than the largest side
Perimetrul unui dreptunghi este de 400 m, iar latimea este de 3 ori mai mica decat lungimea acestuia. Cati metri are lungimea dreptunghiului?
Answers
Răspuns:
150 m
Explicație pas cu pas:
Reamintim:
Perimetrul unui dreptunghi, P
P = 2 (lungime + lățime)
P = 400
Lățime = x
Lungime = 3x
Astfel, avem:
400 = 2 (3x + x)
400 = 2 (4x)
400 = 8x
Împărțiți ambele părți la 8
50 = x
Lungime = 3x
Lungime = 3 * 50
Lungime = 150 m
Find the equation of the circle whose center and radius are given.
center ( 7, -3), radius = 7
Answers
Answer:
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Answer;
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
If a car can travel 250 miles on 10 gallons of fuel , how many gallons are requiered to travel 1325 miles
Answers
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{10}{250} = \frac{x}{1325}[/tex]
Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)
[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]1325 \times 0.04\\\\= 53[/tex]
Therefore, 53 is the amount of gallons of fuel needed.
if x + 1/x = 2. find the value of x³ + 1/x³.
Answers
Answer:
2
Step-by-step explanation:
x + 1/x = 2
x + 1 = 2x
x = 1
x³ + 1/x³
1³ + 1/1³.
1 + 1/1 = 1 + 1 = 2
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answers
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
Please help me on this problem
Answers
Answer:
The answer would be 20 mi
Step-by-step explanation:
a^2+b^2=c^2
a^2=144
b^2=256
C^2=400
Then you find the square root of ABC to find that C is 20
WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4
Answers
Answer: Choice A)
y = -4x+1
=======================================
Explanation:
The general format of a linear equation can be written as y = mx+b
m = slope
b = y intercept
The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.
Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.
Given triangle XYZ:
Angle X = 90°
Angle Y = 45°
Angle Z=
Answers
Answer:
Hello! answer: 45
Step-by-step explanation:
90 + 45 + 45 = 180 therefore z = 45 hope that helps!
Hi there!
»»————- ★ ————-««
I believe your answer is:
45°
»»————- ★ ————-««
Here’s why:
The three interior angles of a triangle will always have a sum of 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
please help me !! this diagram is not to scale.
Answers
Answers:
sin(A) = 7/25cos(A) = 24/25tan(A) = 7/24==============================================
Explanation:
We use these rules shown below
sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacentFor reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).
Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.
for Sin it is opp over hyp
Cos = adjacent side over hyp
Then for Tan it's opposite over adjacenct
Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4)
Answers
Answer:
(4,1);(1,4)
Step-by-step explanation:
The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be y = -x² + 4x + 1
Let the equation of line be y = -x + 5
Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.
Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:
-x² + 4x + 1 = -x + 5
Rearranging the equation, we get a quadratic equation in standard form:
-x² + 4x + x - 1 - 5 = 0
-x² + 5x - 6 = 0
Factoring the quadratic equation, we get:
-(x - 1)(x - 6) = 0
Setting each factor equal to zero and solving for x, we get two potential values for x:
x - 1 = 0 or x - 6 = 0
x = 1 or x = 6
Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:
For x = 1:
y = -1 + 5
y = 4
So, one point of intersection is (1, 4)
For x = 6:
y = -6 + 5
y = -1
So, the other point of intersection is (6, -1).
Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)
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If there are 3.28 feet in 1 meter, how many yards are in 8 meters? Round answer to the nearest tenth. (Hint: This problem requires two conversions.)
Answers
Answer:
8.7
Step-by-step explanation:
how much would you need to pay?
Answers
Answer:
a
Step-by-step explanation:
2 3/5 = 2x5+3/5
2 3/5 = 13/5
Cost of 13/5 pounds of stake = (13/5)x6.10
Cost of 13/5 pounds of steak =$ 15.86
Graph the equation y = x2 + 8x + 12 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex. Using the graph, determine the
vertex of the parabola.
Answers
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
y = x² + 8x + 12
Conver the equation into a vertex form. Then we have
y = x² + 8x + 12
y = x² + 8x + 16 - 16 + 12
y = (x + 4)² - 4
The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).
The graph is given below.
More about the equation of the parabola link is given below.
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10.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 – 38 gives the height of the object after t seconds.
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
C. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Answers
Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
The perimeter of this shape is 92cm.
Find the value of x.
(x + 7)
Answers
Step-by-step explanation:
x + 7 = 92
x = 92 - 7
x = 85
The value of x is 85
reflect C over the y axis
Answers
Answer:
C' (- 3, 2 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
C (3, 2 ) → C' (- 3, 2 )
find the missing side
Answers
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
Which value of x makes this equation true? -12x - 2(x+9) = 5(x+4)
Answers
x = -2
−12x−2(x+9)=5(x+4)
Use the distributive property to multiply −2 by x+9.
−12x−2x−18=5(x+4)
Combine −12x and −2x to get −14x.
−14x−18=5(x+4)
Use the distributive property to multiply 5 by x+4.
−14x−18=5x+20
Subtract 5x from both sides.
−14x−18−5x=20
Combine −14x and −5x to get −19x.
−19x−18=20
Add 18 to both sides.
−19x=20+18
Add 20 and 18 to get 38.
−19x=38
Divide both sides by −19.
x=
−19
38
Divide 38 by −19 to get −2.
x=−2
The required simplified value of x for the given equation is -2/19.
To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
-12x - 2(x + 9) = 5(x + 4)
-12x -2x - 18 = 5x + 20
-14x - 18 = 5x + 20
-14x - 5x = 20 - 18
-19x = 2
x = -2/19
Thus, the required simplified value of x for the given equations is -2/19.
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Please help I'll love you forever pleasdeeee
Answers
Answer:
[tex]30[/tex]; Obtuse, isosceles triangle OR "[tex]B[/tex]"
Step-by-step explanation:
If you replace the [tex]z^o[/tex] variable with [tex]30^o[/tex] on both angles.
The angles will be:
[tex]30^o[/tex]
[tex]120^o[/tex] ([tex]4(30)=120^o[/tex])
[tex]30^o[/tex]
This angle is isosceles (two sides are equal). It is obtuse (there is one angle that is greater than [tex]90^o[/tex]).
the coefficient in the term 7xy is
Answers
Answer:
The coefficient is 7
Step-by-step explanation:
The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.
What is the length of QR?
Answers
Answer:
B
Step-by-step explanation:
Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club will send him 12 new coins per month, and Jill's club will send her 8 new coins per month. After how many months will Jack and Jill have the same number of coins?
Answers
Answer:
So, after 6 months, they both have the same number of coins.
Step-by-step explanation:
Jack has 56 coins
Jill has 80 coins
Jack collect 12 coins per month
Jill collect 8 coins per month
Let after m months, they both have the same coin.
56 + 12 m = 80 + 8 m
12 m - 8 m = 80 - 56
4 m = 24
m = 6
So, after 6 months, they both have the same number of coins.
Trying to find the surface area and can not get the answer.
Answers
Answer:
Hi there user! I'll help you!
96 should be the correct answer!
Step-by-step explanation:
4 x 3 = 12
4 x 7 = 28
5 x 7 = 35
3 x 7 = 21
12 + 28 + 35 + 21 = 96
Triangle LMN is similar to triangle OPQ. Find the measure of side QO. Round your answer to the nearest tenth if necessary.
Answers
Answer:
90.8
Step-by-step explanation:
20/13 = x/59
13x = 1180
x=90.76
x=90.8
help help help help need to pass this
Answers
Answer:
0.25
Step-by-step explanation:
t/4+16=17
t=(17-16)/4
=0.25
Solve for x
|2x+1| + |3x-4| = 5
Answers
Answer:
X=0 or x=8/5
Step-by-step explanation: