finally surface area of the solid. use 3.14 for π. write your answer as a decimal.
Answers
To find the total surface area of this cone, we have that the total lateral area is given by the formula:
[tex]A_{\text{lateral}}=s\cdot\pi\cdot r[/tex]Where
s is the slant height of the cone, s = 12 inches.
r is the radius of the base of the cone, r = 7 inches.
To that area, we need to add the area of the base of the cone:
[tex]A_{\text{base}}=\pi\cdot r^2[/tex]That is, this is the area of a circle with this radius. Then, the total surface area is:
[tex]A_{\text{total}=}s\cdot\pi\cdot r+\pi\cdot r^2[/tex]Substituting the values in this formula, we have:
[tex]A_{\text{total}}=12in\cdot3.14\cdot7in+\pi\cdot(7in)^2=263.76in^2_{}+153.86in^2[/tex]Then
[tex]A_{\text{total}}=417.62in^2[/tex]Hence, the total area is equal to 417.62 square inches.
Related Questions
Rebecca was comparing various sizes of canned applesauce. A 16-oz can of one brand costs $7.78 and a 12-oz can of the same brand costs $6.85. Find the savings to thenearest cent on buying 96 ounces of applesauce in 16-oz. cans compared to 12-oz. cans.$6.98$7.87$8.12$9.06None of these choices are correct.
Answers
To do the comparison, we need to calculate the cost of buying 96 ounces using both options.
For 16-oz can
The number of cans required to get 96 ounces will be
[tex]\begin{gathered} \frac{96}{16} \\ =6\text{ cans} \end{gathered}[/tex]The cost will be
[tex]\begin{gathered} 6\times7.78 \\ =46.68 \end{gathered}[/tex]The cost of 96 ounces of applesauce in 16-oz cans is $46.68.
For 12-oz can
The number of cans required to get 96 ounces will be
[tex]\begin{gathered} \frac{96}{12} \\ =8\text{ cans} \end{gathered}[/tex]The cost will be
[tex]\begin{gathered} 8\times6.85 \\ =54.80 \end{gathered}[/tex]The cost of 96 ounces of applesauce in 16-oz cans is $54.80.
The savings on buying in 16-oz cans will be
[tex]\begin{gathered} 54.80-46.68 \\ =8.12 \end{gathered}[/tex]The savings will be $8.12.
Solve for x. x - 4= -12 A. -8 B. -16C. 16 D. 8
Answers
Given that;
[tex]x-4=-12[/tex]STEP 1: Add 4 to both sides of the equation;
[tex]x-4+4=-12+4[/tex]STEP 2: Simplify further;
[tex]x=-8[/tex]CORRECT OPTION: A
what is the distance between points (5,2) and (1,-3) on a coordinate plane?A 3B 4.1C 8.5D 6.4
Answers
We are asked to find the distance between the following two points
[tex](5,2)\: and\: (1,-3)[/tex]Recall that the distance formula is given by
[tex]d=\sqrt[]{\mleft({x_2-x_1}\mright)^2+\mleft({y_2-y_1}\mright)^2}[/tex][tex]\begin{gathered} \mleft(x_1,y_1\mright)=\mleft(5,2\mright) \\ (x_2,y_2_{})=(1,-3) \end{gathered}[/tex]Let us substitute the given points into the above distance formula
[tex]\begin{gathered} d=\sqrt[]{({x_2-x_1})^2+({y_2-y_1})^2} \\ d=\sqrt[]{({1_{}-5_{}})^2+({-3_{}-2})^2} \\ d=\sqrt[]{({-4})^2+({-5})^2} \\ d=\sqrt[]{16^{}+25^{}} \\ d=\sqrt[]{41} \\ d=6.4 \end{gathered}[/tex]Therefore, the distance between the given two points is 6.4
Option D is the correct answer.
-9(10-6r) help please
Answers
Given the expression :
[tex]-9\mleft(10-6r\mright)[/tex]using the distributive property to simplify the expression :
[tex]\begin{gathered} -9\mleft(10-6r\mright) \\ =-9\cdot10-9\cdot-6r \\ =-90+54r \end{gathered}[/tex]So, the result will be = -90 + 54r
Part of the proceeds from a garage sale was $305 worth of $5 bills if there were ) more bills than $20 bills find the number of each denomination
Answers
We are asked how many $20 bills and $5 bills can make up $305. To do that we will first divide 305 and 20, like this:
Now, we need to find a number that when multiplied by 20 is the closest to 305, that number is 15, since:
[tex](15)(20)=300[/tex]Therefore:
Now, subtract 300 from 305 and we get:
find the slopes of the line that goes thru the following points
Answers
Given:
Find-: Slope of the line.
Sol:
The slope of line is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where,
[tex]\begin{gathered} (x_1,y_1)\text{ = First point} \\ \\ (x_2,y_2)=\text{ Second point} \end{gathered}[/tex]Choose any point:
[tex]\begin{gathered} (x_1,y_1)=(-1,-4) \\ \\ (x_2,y_2)=(0,-1) \end{gathered}[/tex]So, the slope of the line is:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{-1-(-4)}{0-(-1)} \\ \\ m=\frac{-1+4}{0+1} \\ \\ m=\frac{3}{1} \\ \\ m=3 \end{gathered}[/tex]Slope of line is 3.
These data are the number of on campus burglaries reported in a given year for nine western Pennsylvania universities.15 11 4 15 9 7 12 5 15For the data find the mean median mid range in the mall round to one decimal place if necessary.
Answers
Recall how to find the mean, the median, the midrange and the mode of a data set.
To find the mean, add all the values and divide the result over the amount of values:
[tex]\frac{15+11+4+15+9+7+12+5+15}{9}=\frac{93}{9}=10.333...\approx10.3[/tex]To find the median, list the data from smallest to largest and identify the number that is placed at the middle of the list. If the number of data points is even, the median is the average of the two middle data points in the list:
[tex]4,5,7,9,11,12,15,15,15[/tex]In this case, the median is 11 because there are 4 numbers before it and 4 numbers after it.
To find the midrange, calculate the mean between the minimum and maximum numbers of the data set:
[tex]\frac{4+15}{2}=9.5[/tex]The mode is the value that appears most frequently in the data set. In this case, the number 15 appears three times and the rest just 1. Then, the mode is 15.
Therefore, the answers are:
Mean: 10.3
Median: 11
Midrange: 9.5
Mode: 15
Round .00000572. Using single digit and power of 10
Answers
Given that
There is a number and we have to round it using the single digit and in powers of 10.
Explanation -
Whenever we convert a decimal number into powers of 10.
The power of 10 is always equal to the negative number of digits after the decimal.
Then, the number 0.00000572 can be written as0
[tex]0.00000572=5.72\times10^{-6}[/tex]Now we have to round off it to a single digit.
Then,
[tex]5.72\times10^{-6}\approx6\times10^{-6}[/tex]Final answer -
Therefore the final answer is 6 x 10^(-6)Ron made a scale drawing of a hotel the scale of the drawing was 7 inches and 5 feet the actual length of a room in the hotel is 20 ft how long is the room in inches
Answers
Given data:
The given lengthof room is R=20 ft.
Th
Find mzi. 1 5 H 9 J Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answers
Given
[tex]\begin{gathered} IH=5 \\ IJ=9 \end{gathered}[/tex]We can find the measure of I below.
Explanation
[tex]\begin{gathered} CosI=\frac{Adjacent\text{ }side}{Hypotenuse\text{ side}}=\frac{IH}{IJ}=\frac{5}{9} \\ I=Cos^{-1}\frac{5}{9} \\ I=Cos^{-1}0.98176 \\ I=56.3^{\circ\:} \end{gathered}[/tex]Answer:
[tex]I=56.3^0[/tex]Which expressions simplify to a rational answer?Select each correct answer. 3√⋅2√52⋅−√2√9√⋅16−−√11−−√⋅5√
Answers
Among the given options, [tex]5\sqrt{2}.\sqrt{2}[/tex] and [tex]\sqrt{9}.\sqrt{16}[/tex] gives us a rational number.
The given options are -
1. [tex]\sqrt{3}. \sqrt{2}[/tex]
2. [tex]5\sqrt{2}.\sqrt{2}[/tex]
3. [tex]\sqrt{9}.\sqrt{16}[/tex]
4. [tex]\sqrt{11} .\sqrt{5}[/tex]
Now, Considering the 1st option, that is, [tex]\sqrt{3}. \sqrt{2}[/tex]
3 and 2, both are nonperfect squares,
[tex]\sqrt{3}. \sqrt{2} =\sqrt{6}[/tex] which is an irrational number.
Now, Considering the 2nd option, that is, [tex]5\sqrt{2}.\sqrt{2}[/tex]
[tex]5\sqrt{2}.\sqrt{2} = 5*2 = 10[/tex] which is a rational number.
Now, Considering the 3rd option, that is, [tex]\sqrt{9}.\sqrt{16}[/tex]
9 and 16, both are perfect squares,
So, [tex]\sqrt{9}.\sqrt{16} = 3*4 = 12[/tex] which is a rational number.
Considering the 4th option, that is,
3 and 2, both are nonperfect squares, [tex]\sqrt{11} .\sqrt{5}[/tex]
[tex]\sqrt{11} .\sqrt{5} = \sqrt{55}[/tex] which is an irrational number.
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There are 8 roses in a vase of 11 flowers. The rest are daisies.(a) What is the ratio of roses to daisies?0(b) What is the ratio of daisies to all flowers in the vase?0$ P
Answers
Let
x -----> number of roses
y-----> number of daisies
we have that
x=8
y=11-8=3
so
Part A
What is the ratio of roses to daisies?
ratio=x/y --------> ratio=8/3 or 8:3
Part B
What is the ratio of daisies to all flowers in the vase?
ratio=y/(x+y) -------> ratio=3/11 or 3:11
Answer correctly and I will give Brainly
Answers
Answer:
y= 5/6x+4
Step-by-step explanation:
you go up 5
over 6
so 5/6
then its already on positive 4 so its +4
Slope-intercept form is the form of a line where y equals the product of the slope and the input plus the y-intercept, or:
y = mx + b
[tex]m = \frac{y_2 - y_1}{x_2-x_1}\\m = \frac{9 - 4}{6-0}\\m = \frac{5}{6}[/tex]
b = 4
The final equation of the line is:
y = 5/6x + 4
Write the equation for the given parent function and listed transformations, please.x^2, right 1, reflect across the x-axis, vertical shrink by 1/3
Answers
given the function
[tex]f(x)=x^2[/tex]right 1
[tex]f(x-1)=(x-1)^2[/tex]reflect accros x axis
[tex]-f(x-1)=-(x-1)^2[/tex]vertical shrink by 1/3
since it says a shrink
vertical compressions a<1
[tex]-\frac{1}{3}f(x-1)=-\frac{1}{3}(x-1)^2[/tex]then the equation is
[tex]-\frac{1}{3}\left(x-1\right)^{2}[/tex]Parts of a CircleFor this assignment, you will draw and label the parts of a circle. Follow the directions below to construct your circle. When you are finished, you may scan your drawing and upload it. If you do not have a scanner, you may take a picture with a digital camera or cell phone and then embed the image into a Word document.Draw circle A.Draw radius AB.Draw diameter CD.Draw chord EF.Draw central angle GAH.
Answers
It's important to consider that a radius is a segment from the center of the circle to the circumference, diameter is a segment that crosses the center of the circle and divides the circle into two equal parts, a chord is a segment that goes from one point on the circumference to another without intersecting the center of the circle, at last, a central angle is an angle formed by two radii and it has the center as the vertex.
First, let's draw circle A.
Second, let's draw radius AB.
Third, let's draw diameter CD.
Fourth, let's draw chord EF.
At last, let's draw angle GAH.
Helppppppppppp test helppppp for today plssss help 6 and 7
Answers
7)
The triangles ABC and JGH are similar figures.
For two figures to be simmilar, the coresponding angles must be congruent and the corresponding sides must be proportional.
For these triangles:
The corresponding sides of the simimilar figures are proportional, you can express this as:
[tex]\frac{JH}{AC}=\frac{JG}{AB}=\frac{GH}{BC}[/tex]This expression indicates that the proportion between the corresponding sides is the same for all three pairs of sides. Using this information, we can determine the value of side GH
The proportion between the corresponding sides of the triangles is:
[tex]\frac{JH}{AC}=\frac{5.8}{11.6}=\frac{1}{2}[/tex]Now calculate GH as:
[tex]\begin{gathered} \frac{GH}{BC}=\frac{1}{2} \\ \frac{x}{6}=\frac{1}{2} \\ x=(\frac{1}{2})\cdot6 \\ x=3 \end{gathered}[/tex]Now the corresponding angles of the similar figures must be congruent, i.e. have the same measure so that:
[tex]\begin{gathered} \angle A=\angle J=31º \\ \angle C=\angle H=59º \end{gathered}[/tex]So a and y are
x=3
y=59º
What rule describes a dilation with a scale factor of 1/2 and the center of dilation at orgin.
Answers
Explanation:
When we dilate a point by a scale factor "a" and the center of the dilation is the origin, the original point (x,y) changes as follows:
[tex](x,y)\rightarrow(ax,by)[/tex]Each coordinate value is multiplied by the scale factor.
In this case, the scale factor is 1/2:
[tex]a=\frac{1}{2}[/tex]Therefore, the transformation rule is:
[tex](x,y)\rightarrow(\frac{1}{2}x,\frac{1}{2}y)[/tex]This rule is shown in option C.
Answer:
C.
[tex](x,y)\operatorname{\rightarrow}(\frac{1}{2}x,\frac{1}{2}y)[/tex]the radius of a circle is 1 what is the length of an arc that subtends an angle of 10pi/9 radians
Answers
To convert from radians to degrees, you have to know that 180 degrees is equal to one pi
[tex]\frac{10\text{ pi}}{9}\text{ = }\frac{10X180^{\circ}}{9}=200^{\circ}[/tex]Angle 360 -200 = 160
[tex]\begin{gathered} lengthofarc=\frac{\emptyset}{360}X\frac{2\pi\text{ r}}{1} \\ =\text{ }\frac{160}{360}X\frac{2\pi\text{ X 1 }}{1} \end{gathered}[/tex]length of arc =2.7925
The length of the arc is approximately 2.8
The dancer at (4,1) needs hair gel. She moved to the right on a slope of 8. Where can you deliver her hair gel? Will you please provide a graph and a written detailed explanation? Thank you!
Answers
It is given that the dancer is at the point (4,1), and then moved to the right on a slope of 8.
It is required to find the point she can be located by showing a graph with a detailed explanation.
Recall that the slope is the measure of the steepness of a line calculated by dividing the vertical change by the horizontal change.
Since the slope is given as 8, and this can be written as 8/1. It follows that the vertical change is 8 and the horizontal change is 1.
To find the new point add 1 to the x-coordinate (which represents the horizontal) and 8 to the y-coordinate (which represents the vertical):
[tex](4,1)\rightarrow(4+1,1+8)=(5,9)[/tex]Hence, the new position is at the point (5,9).
This is illustrated in the graph below:
The gel can be delivered at (5,9) as shown above.
The graph shown is the solution set for which of the following
Answers
Given the graph of an inequality, you can identify that the boundary has the form of a "V". Therefore, you can identify that it is an Absolute Value Inequality.
By definition, an Absolute Value Equation written in Vertex Form is:
[tex]y=a|x-h|+k[/tex]Where "h" is the x-coordinate of the Vertex, and "k" is the y-coordinate of the Vertex. If "a" is negative, the graph opens down and if it is positive, the graph opens up.
In this case, the graph opens up, and you can identify in the graph that the Vertex is:
[tex]\mleft(-1,0\mright)[/tex]You can also identify that the boundary is formed by solid lines and the shaded region is below the boundary. This indicates that the inequality has this form:
[tex]\begin{gathered} y\leq a|x-(-1)| \\ \\ y\leq a|x+1| \end{gathered}[/tex]Notice that this inequality is given in the Answer choices:
[tex]y\le\mleft|x+1\mright|[/tex]In order to check it, let's choose two points on the shaded region:
[tex]\mleft(-2,-1\mright),(2,-2)[/tex]Substitute the coordinates into the inequality and evaluate. If they satisfy the inequality, then the are solutions to it:
- For the first point:
[tex]\begin{gathered} -1\le|-2+1| \\ \\ -1\le1\text{ (True)} \end{gathered}[/tex]- For the second point:
[tex]\begin{gathered} -2\le|2+1| \\ \\ -2\le3\text{ (True)} \end{gathered}[/tex]Hence, the answer is: Second option.
Which equation represents a line which is parallel to y=0?A. x=1B. y=x+3C. y=xD. y=6
Answers
ANSWER
D. y = 6
EXPLANATION
Parallel lines have the same slope.
In this problem, the given line is y = 0, which is a horizontal line at y = 0. Because it is a horizontal line, its slope is 0. From the options, we have to find which line has a slope of 0.
• Option A: x = 1 is a vertical line passing through x = 1. Its slope is undefined → ,not parallel,.
,• Option B: the slope of this line is 1 → ,not parallel.
,• Option C: the slope of this line is also 1 → ,not parallel.
,• Option D:, y = 6 is also a horizontal line, so its slope is 0 → ,this line is parallel ,to the given line.
The mean mark of 10 boys is 58.If the mean mark of 7 of them is 61, what is the mean mark of the remaining 3 boys
Answers
As for the 10 boys altogether,
[tex]\begin{gathered} \operatorname{mean}=58 \\ \text{and} \\ \operatorname{mean}=\frac{1}{10}\sum ^{10}_{i=1}\text{mark}_i \end{gathered}[/tex]Thus,
[tex]\Rightarrow580=\sum ^{10}_{i=1}\text{mark}_i[/tex]On the other hand, as for seven of the boys
[tex]\begin{gathered} \operatorname{mean}=61=\frac{1}{7}\sum ^7_{j=1}\text{mark}_j \\ \Rightarrow427=\sum ^7_{j=1}\text{mark}_j \end{gathered}[/tex]Thus, regarding the remaining three boys,
[tex]\Rightarrow\sum ^3_{k=1}mark_k=580-427=153[/tex]Finally, the mean of those remaining three kids is
[tex]\begin{gathered} \text{MEAN}=\frac{1}{3}\sum ^3_{k=1}mark_k=\frac{1}{3}\cdot153=51 \\ \Rightarrow\text{MEAN}=51 \end{gathered}[/tex]Thus, the mean mark of the remaining 3 boys is 51
Which value is equivalent to -7?A. -(-7)B. |-71C. 171D.-|-71
Answers
Check Option A.
[tex]-(-7)=+7[/tex]Not equivalent to -7.
Check Option B.to -7.
[tex]|-7|=7[/tex]Not equivalent to -7.
Check Option C.
[tex]|7|=7[/tex]Not equivalent to 7.
Check Option D.
[tex]-|-7|=-7[/tex]Therefore, Option D is right.
Which of the following correctly shows the next two terms after -40 in the pattern?-10, 20, -40,...А.80, 160B-2.5,5С60, -80D80, -160
Answers
In the pattern -10,20,-40 every next term is obtained by multiplication of -2.
So terms next to -40 is,
[tex]-40\cdot(-2)=80[/tex]Term next to 80 is,
[tex]80\cdot(-2)=-160[/tex]Thus next two terms od -40 are 80 and -160.
Option D is correct option.
A work shift for an employee at restaurant count of 8 hours what fraction of the employees work shift is represented by 2 hours
Answers
Let:
T = Total number of hours = 8
n = Number of hours = 2
Therefore, the fraction is:
[tex]\frac{2}{8}=\frac{1}{4}[/tex]Answer:
[tex]\frac{1}{4}[/tex]Find the length of the arc in terms of pi. AB=
Answers
We will determine the arc length as follows:
*First: We transform the angle to radians:
[tex]\alpha=144\cdot\frac{\pi}{180}\Rightarrow\alpha=\frac{4}{5}\pi[/tex]*Second: We will determine the arc length:
[tex]s=(10)(\frac{4}{5}\pi)\Rightarrow s=8\pi[/tex]So, the arc length from A to B is 8*pi.
what is the dependent variable to the following equationy=3x+9
Answers
hello
to solve this question, let's identify the independent an dependent variable.
*independent variable: this is the variable that can stand alone on it own. It is usually equated with the rest of the equation.
in this question, the independent variable is y
*dependent variable: this is the variable that can't stand on it's own and also depends on the other side of the equation.
in this question, the dependent variable is x
4. Which of the following expressions will have the same value as the expression below? -7-(-5)A. -7+(-5)B. -7-5C. 7+(-5)D. -7+5
Answers
1) Let's operate this expression -7 -( -5)
-7 -( -5) The minus before the parentheses work as -1 x (-5)
-7 +5
-2
2) Examining each expression
a) -7+(-5) = -7 -5 = -12
b) -7-5= -12
c) 7-5 = 2
d) -7+5 = -2
3) So according to the options, the answer is D
is 53 prime or composite numberhow can I find the numbers for 58
Answers
Answer:
Factors of 58: 1,2,29 and 58
58 It is a composite number.
Step-by-step explanation:
The factors of 58 are the numbers that divide 58 leaving 0 as the remainder.
For example, 58/29=2, the remainder of 0.
Factors of 58: 1,2,29 and 58
58 It is a composite number.
A researcher wants to know if eating a mint affects whether people can distinguish between two popular orange juice brands. To conduct an experiment, the researcher places 50 participants in two groups. The treatment group will eat a mint before drinking a juice, while the control group will not eat a mint before drinking. Then the participants will guess the juice brand. To select the groups, the researcher labels each participant with a number and selects slips of paper labeled 1–50 from a bowl at random. The first 25 participants whose numbers are selected will be the treatment group, while the other 25 will be the control group.
The characteristics of the two groups
should be roughly equivalent because both groups will have 25 participants.
should be roughly equivalent because the participants were labeled and then randomly selected for the groups.
might not be roughly equivalent because one group may contain people that drink more juice than the other group.
might not be roughly equivalent because one group may contain more people that prefer a particular juice brand.
Answers
By the concept of probability D might not be roughly equivalent because one group may contain more people that prefer a particular juice brand.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty. A probability is a number that expresses the likelihood or chance that a specific event will take place. Probabilities can be stated as proportions between 0 and 1, or as percentages between 0% and 100%. The likelihood that something will happen is called the probability. the total number of conceivable outcomes. For instance, there is a 1 in 2 chance of tossing a coin and getting heads.
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