Answer:
lateral surface area is 160.14 square cm.
Total surface area is 273.16 square cm
Step-by-step explanation:
Lateral surface area of cone is given by [tex]\pi rl[/tex]
where r is radius of cone
and l is slant height of cone.
l = 85 millimetres
we know that 10 millimetres is equal to 1 cm
Thus 85 millimetres is equal to 8.5 cm
Thus slant height(l) in cm is 8.5[tex]\pi rl\\=>\pi 6*8.5\\=> 3.14*51\\=>160.14[/tex]
we will use value of [tex]\pi[/tex] as 3.14
Diameter of cone = 12 cm
we know that radius is equal to half of Diameter
radius of given cone = 1/2 *Diameter = 1/2 * 12 = 6 cm.
Thus lateral surface area of cone is given by
[tex]\pi rl\\=>3.14*6*8.5\\=>153[/tex]
Thus, lateral surface area is 160.14 square cm.
Area of base of cone will be area of circular base
area of circle is given by [tex]\pi r^2[/tex]
Thus area of base is given below
[tex]\pi r^2\\=>3.14*6^2\\=>113.04[/tex]
area of base is 113.04 square cm
Total surface area of cone is sum of area of base and lateral surface area
Total surface area = 160.14+113.04 = 273.16 square cm.
You ask 200 randomly chosen students to name their favorite ice cream flavor. There are 1800 students in the school. Based on the results of the survey, predict the number of students in the school whose favorite ice cream flavor is chocolate.
Answer:
351
Step-by-step explanation:
Complete question :
Vanilla= 36
Chocolate=21
Strawberry=24
Chocolate Chip=39
SOLUTION:
39 chocolate chip to 200 students = x chocolate chip to 1800 students
39/200 = x / 1800
Solving for 'x'
(200)(x) = (39)(1800)
200x = 70200
x = 70200/200
x = 351
OR
39 out of 200 picked chocolate chip
therefore, 39/200 = 0.195 = 19.5% ( 32.5% chose chocolate chip)
19.5% of 1800 = 0.195(1800) = 351 students
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply.
A. 25
B. -18
C. -4
D. 0
Answer:
Step-by-step explanation:
Your answers are -18 and -4
Predict: How do you think the formula for area of a triangle will relate to the formula for area of a rectangle? Do you
think it is the same area formula?
Answer:
I think is the same formula area .A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.
Step-by-step explanation:
The area of a rectangle is given by the relation length* width. The area of a triangle is given by the relation (1/2)*base* height. Now we know that the two have the same area equal to 150 cm^2. Also, when placed on the same level the tip of the triangle touches the upper edge of the rectangle.
For the years between 1980 and 2012, the function c(x)=0.006x^3−0.48x^2+12.8x+85 approximates the number of countries that attended the summer Olympics x years after 1980. Use the polynomial remainder theorem to approximate the number of countries that attended the Olympics in 2004.
Enter the answer in the box.
Answer:
199
Step-by-step explanation:
2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:
c(x) = ((0.006x -0.48)x +12.8)x +85
c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85
= 4.736(24) +85 = 198.664
c(24) ≈ 199
The approximate number of countries attending the 2004 Olympics was 199.
A trailer truck carries 11,430 bottles, each weighing 14 ounces.To the nearest ton, how much weight does the truck carry
Answer:
10
Step-by-step explanation:
[tex]11430\cdot 14 = 160020[/tex] ounces
[tex]160020\div 16=10001.25\approx 10[/tex] tons.
Hope this helps!
The required weight that the truck carried in ton is 5.
What is Unitary Rule?In the counting or finding data problem we first calculate the value of unity element then further add or multiply the next ones
How to calculate unitary method?Here we have given truck carry
11,430 bottles
If each bottle weight = 14 ounce
Therefore total weight of 11,430 bottles is = 11,430x14 = 160020 ounce
Also we have
1 ton = 32000 ounce
Or 1 ounce = [tex]\frac{1}{32000}[/tex] ton
Therefore the required weight in ton of total weight 160020 ounce is
= [tex]\frac{160020}{32000}[/tex]
= 5
This is the conclusion to the answer.
Learn more about unitary method here-
https://brainly.com/question/8083231
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A cookie jar contains 9 chocolate chip, 5 oatmeal, and 6 sugar cookies. What is the probability that a cookie selected at random will be a chocolate chip cookie? Group of answer choices
Answer:
0.45 or 45% or 9/20
Step-by-step explanation:
Altogether you have 20 cookies, and you have 9 chocolate chip cookies.
PLEASE HELP URGENT!!!!!
WILL MARK U AS BRAINLIEST!!!!!
Answer:
B.
Step-by-step explanation:
Well in a secant - secant angle, the measure of E is equal to half the measure of CD - AB. You can calculate CD by subtracting 325 from 360.
CD = 35
E = 1 / 2(85 - 35)
E = 25
Answer:
B.
Step-by-step explanation:
Which of the following describes the parabola with the equation y = 4x2 - 12x + 9?
A) The axis of symmetry is x = 0 and the vertex is (0,9).
B)The axis of symmetry is x= 1.5 and the vertex is (1.5, 0).
C)The axis of symmetry is x = 4 and the vertex is (4, -12).
D)The axis of symmetry is x = -1.5 and the vertex is (-1.5, 36).
Answer:
Step-by-step explanation:
To find the vertex of this parabola, "complete the square:" Rewrite y = 4x2 - 12x + 9 in the form y = 4(x - h)^2 + k:
y = 4x^2 - 12x + 9 => y = 4(x^2 - 3x) + 9.
Now complete the square of x^2 - 3x: Take half of -3 and square the result, obtaining (-3/2)^2, or 9/4. Add 9/4 to x^2 - 3x and then subtract 9/4 from the result: We get x^2 - 3x + 9/4 - 9/4. Substitute this result back into
y = 4(x^2 - 3x) + 9: y = 4(x^2 - 3x + 9/4 - 9/4) + 9
and then rewrite the perfect square x^2 - 3 + 9/4 as the square of a binomial:
y = 4(x - 3/2)^2 - 9/4) + 9. This simplifies to:
y = 4(x - 3/2)^2 + 0.
Thus, the vertex is at (3/2, 0) and the axis of symmetry is x = 3/2. This agrees with Answer B.
2 Points
Multiply the polynomials.
(x + 3)(3x2 + 8x + 9)
A. 3x3 + x2 + 33x+ 213
B. 3x3 + 17x2 - 15x+27
C. 3x3 + 17x2 + 33x-27
D. 3x3 + 17x2 + 33x + 27
Answer:
3x³ + 17x² + 33x + 27
Explanation:
(x + 3)(3x² + 8x + 9)
= (x + 3)(3x² + 8x + 9)
= (x)(3x²) + (x)(8x) + (x)(9) + (3)(3x²) + (3)(8x) + (3)(9)
= 3x³ + 8x² + 9x + 9x² + 24x + 27
= 3x³ + 17x² + 33x + 27
Use a graphing calculator to find the value of f(x) when x = 2 for the function f(x)=x2-5.
Answer:
-1
f(2)= 2* 2 - 5 = -1
but if you meant f(x)=x²-5
its
f(2)=2²-5 = 4-5 = -1
it's indeed not the same for all other values of x, for example x=3!
(would really appreciate the brainliest)
4(2x - 1) + 2x + 2 = 28
Answer:
x=3
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variable
Step-by-step explanation:
8x-4+2x+2=28
10x-2=28
10x=28+2
10x=30
x=3
1 (4x – 8) + 3x = 36
A pine is 35 and one half feet tall, and grows 3 and one half feet each year. A redwood is 43 feet tall, and grows 3 and one half feet each year. How tall will each tree be after 21 years?
Answer:
Pine would be 108.5 Redwood would be 116.5.
Step-by-step explanation:
Since they both grow the same amount, we just add their original number by 73.5.
In the 2014\,\text{-}\,20152014-20152014, start text, negative, end text, 2015 season of the English Premier League, there were 202020 soccer teams, and each team played a total of 383838 matches. The scatter plot below shows the average number of goals each team scored per match, and how many total matches each team won. Each dot on the scatter plot represents a team. A line was fit to the data to model the relationship between scoring goals and winning games.
Answer:
Option B. y = 14x - 3.5
Number of wins for the team will be 24.5
Step-by-step explanation:
Since line of best fit passes through two points (0.25, 0) and (0.75, 7)
Let the equation of the line of best fit is, y - y' = m(x - x') + c
Here 'm' = Slope of the line
= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{7-0}{0.75-0.25}[/tex]
= [tex]\frac{7}{0.5}[/tex]
m = 14
Equation of the line of best fit passing through a point (0.25, 0) will be
y - 0 = 14(x - 0.25)
y = 14x - 3.5 [Option B]
Now number of wins for a team that scores 2 goals per match will be,
For x = 2
y = 14x - 3.5
y = 14×2 - 3.5
= 28 - 3.5
= 24.5 wins
Therefore, number of wins for the team will be 24.5
Answer:
B on khan and 24.5
Step-by-step explanation:
Frank I puts £5000 in a bank account for 6 years with an interest rate of 7.5% . what is the Amount at the end of that time?
Answer:
£2250
Step-by-step explanation:
Interest= p×r×t÷100
Interest= 5000×7.5×6÷100
Interest= 225000÷100
Interest= £2250
The roots of the function f(x) = x2 - 2x - 3 are shown. What is the missing number
x= -1 and x =
Answer:
3
Step-by-step explanation:
edge 2022
David and Mark are marking exam papers. Each set takes David 61 minutes and Mark 1 hour. Express the times David and Mark take as a ratio in its simplest form.
i'm not sure how to do it
Answer:
61 : 60
Step-by-step explanation:
Well to make a ratio, you just have to have David time : Mark time
So if you convert Mark's time into minutes, it is 60 minutes
61 : 60
That's the simplest form.
Answer:
ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60
Step-by-step explanation:
A ratio is a way of comparing numbers by dividing one number by the other. In order to write a ratio, both numbers have to be in the same units.
David takes 61 minutes to do a task.
Mark 1 hour to do the same task. 1 hour = 60 minutes.
You are comparing David's time to Mark's time.
The ratio of David's time to Mark's time is 61 minutes to 60 minutes.
ratio of David's time to Mark's time = 61/60 = 61:60 = 61 to 60
What is the third side of 5 and 7 phyagorean theorem
Look at the attached picture
Hope it will help you...
Good luck on your assignment
What is the multiplicative inverse of the number 7?
Answer:
1/7
Step-by-step explanation:
Another word for multiplicative inverse is reciprocal
It is the number that when multiplied by the original number gives you one
7 * x = 1
Divide by 7
7x/7 = 1/7
x = 1/7
The multiplicative inverse of 7 is 1/7
Answer:
The multiplicative inverse of 7 is 1/7
Step-by-step explanation:
A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if you have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1.
Brain made a tasty burger. The diameter was 5 cm. What is the radius of the circle?
Answer: 2.5 cm
Step-by-step explanation:
5/2=2.5
The radius is half the diameter to just divide the diameter by 2 to find the radius.
how to know the difference between, irrational, rational, whole, ext
Answer:
Here is how
Step-by-step explanation:
Whole is just a number.
rational is a number that can be expressed a fraction
irrational is a number that can not be expressed as a fraction
Use the drawing tool(s) to form the correct answers on the provided graph.
Consider the given function.
h( x ) = ( x + 1 )^2 - 4
Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.
Will be giving 30 pts, Brainliest, and thanks to anyone who answers plz help quick!!!!!!!!
Answer:
h( x ) = ( x + 1 )^2 - 4 x(h)×(÷×1)^2-4
Answer:
Step-by-step explanation:
Recognize from examining this function h( x ) = ( x + 1 )^2 - 4 that it is a quadratic function whose graph is a parabola that opens up. The vertex is at (h, k): (-1, -4). The axis of symmetry is the vertical line passing through the vertex: x = -1.
To find the y-intercept, let x = 0 and solve for y: h(0) = (0 + 1)^2 - 4 = -3. Thus, the y-intercept is (-3, 0).
To find the x-intercepts, set y = 0 and solve for x: 0 = h(x) = (x + 1)^2 - 4, or
(x + 1)^2 = 4. Taking the square root of both sides, we get x + 1 = ±2, whose roots are x = 1 and x = -3: (1, 0) and (-3, 0).
Graph all of these points and the axis of symmetry. Sketch the parabola that goes through these points.
NEED HELP ASAP - 45 Pts. + BRAINLIEST for the best answer!!! (Please show your work)
Question:
When an 8kg mass is hung from a vertical spring, it stretches 12 cm. Calculate the spring constant “k”.
Answer:
the spring constant is 34 degrees going left down
Step-by-step explanation:
A football team gains 8 yards in one play, then loses 5 yards in the next. What is the team’s total yardage for the two plays?
Answer:
+8yds - 5yds = +3yds
Step-by-step explanation:
A shoe dealer purchased net Birr 8,000 worth of shoes from a shoe company.A Find the amount it is to pay the company including VAT.BIf the dealer sold the shoes for Birr 12,000, find the amount of VAT liable tothe dealer.
Answer:
A) Total amount to be paid = Birr 8,560
B) Amount of VAT liable to the dealer = Birr 520
Step-by-step explanation:
The tax on bought commodity and the tax on sold commodity isn't provided but in some places, these values are 7% and 9% respectively. So, these are the values that will be used for this question.
Note that these values vary from country to country and the value missing from this question will not change how the question is solved; the question will still be solved in a similar manner, only the parameters will vary.
A) The dealer bought Birr 8000 at 7% tax.
Total amount to be paid = cost price (1 + r%)
r = 7% = 0.07
Total amount to be paid = 8000 × 1.07 = Birr 8,560
B) To find the VAT, it is the difference between the tax paid when the good was bought and the tax put on it after it was sold.
Tax paid when the shoes were bought = 7% of cost price = 7% × 8,000 = Birr 560
Tax paid when the shoes were sold = 9% of selling price = 9% × 12,000 = Birr 1,080
VAT = tax recovered on sale - Tax paid on purchase
VAT = 1080 - 560 = Birr 520
Hope this Helps!!!
4/7 - -3/5 pls answer
Answer:
Step-by-step explanation:
when operating with two negative signs, the signs change to positive. so, the question becomes;
4/7 + 3/5
find LCM of the denominators then calculate, or just use a calculator.
the answer is 41/35 or in mixed fraction = 1 and 6/35
what is the slope of the line that passes through the points (6, -3) and (1, 7)
Answer:
-2
Step-by-step explanation:
There area of a wall is 600 square feet.
How much paint is needed if there is 8 liters per square feet?
Answer: i think about 4800 liters
Step-by-step explanation:
600 feet/ by 8 liters of sq ft is 4800
A painting is 2 inches tall and 3 inch wide if it is enlarge to a width of 15 in then how tall will it be
Answer:
30 inches
Step-by-step explanation:
You would have to multiply 2×15 to get 30inches, which is how tall the painting would be. Hope this helped!
Please help me. I been stuck for over an hour
Answer:
Step-by-step explanation:
P(a|b)= this mean the probability that a happens given that you already know b has occurred.
So for this P(work|senior) is the probability you will pick someone who works give you know they work. So you look for the over lap between seniors and work in the table and divide it by the number of seniors.
In this case:
P(Work | senior)= 5/(25+5+5) = 5/35 = 1/7
Answer:
14
Step-by-step explanation: