The slant height of the cone is approximately 29.29 cm to the nearest tenth of a centimeter.
To solve the problem, we must first understand what the lateral area of a cone is. The lateral area of a cone is the curved surface area of the cone, which does not include the area of the base. It can be calculated by multiplying the slant height of the cone by the circumference of the base.
Using the formula for the lateral area of a cone, we can write:
Lateral area = πrℓ
where r is the radius of the base, and ℓ is the slant height.
Substituting the given values of lateral area and radius, we get:
574π = π(19.6)ℓ
Simplifying the equation, we get:
574 = 19.6ℓ
ℓ = 574/19.6
ℓ ≈ 29.29 cm
In conclusion, we can find the slant height of a cone with a given lateral area and radius by using the formula for lateral area and solving for the slant height. In this case, the slant height was found to be approximately 29.29 cm.
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5/8 - 1/4 simplest form
Answer:
3/8
Step-by-step explanation:
5/8 - 1/4
L.C.M =8
5-2=3
=3/8
A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teacher schedule in a night?
Answer:
3 lessons
Step-by-step explanation:
available hours: 4 hrs 30 min
time per lesson: 1 hr 30 min
2 lessons is 3 hrs
which leaves even time for one more lesson after 2 lessons
So, she can schedule 3 lessons in 4 hrs in 30 min
Round to the nearest tenth
Answer:
7.0
Step-by-step explanation:
Tangents form right angles, so AOB is a right triangle.
Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.
5^2 + B^2 = 8.6^2
25 + B^2 = 73.96
B^2 = 48.96
B = squareroot 48.96
B = 6.997 --> 7.0
Answer: r is 7
Step-by-step explanation:
ABO is a right triangle
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]
rectangle pqrs will be translated to the point Q will be located at 8,3 .
what will be the.coordinates of point R
The coordinates of point R' are given as follows:
(8,1).
What are the translation rules?The four translation rules are defined as follows:
Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.The coordinates of points Q and Q' are given as follows:
Q(6,3), Q'(8,3).
Hence the translation rule is given as follows:
(x,y) -> (x + 2, y).
The coordinates of point R are given as follows:
R(6,1).
Hence the coordinates of point R' are given as follows:
(6 + 2, 1) = (8,1).
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Name the marked angle in 2 different ways.
Answer:
Angle QOP
Angle QON
Note : O is the vertex
So it should be placed in the middle when you write .
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to. Each sample contains 65 responses, and the standard error of the mean is 44.8.
Use this information to complete the statement. Round your answer to the nearest hundredth.
The standard deviation is approximately(blank) .
Answer:
361.09
Step-by-step explanation:
Explanation:
Calculate the standard error of the mean, SE, using this formula, where is the standard deviation and n is the sample size.
For this situation, the sample size is 65, and the standard error of the mean is 44.8. Substitute these values into the formula, and solve for .
So the standard deviation is approximately 361.09.
The standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to each sample contains 65 responses, and the standard error of the mean is 44.8.
As we know,
The standard error is given by:
SE = σ/√n
SE = 44.8
n = 65
44.8 = σ/√65
44.8√65 = σ
σ = 361.09
Thus, the standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
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couch Emanuel is trying to lose weight. he starts 2017 weighing 296 pounds. If he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Coach Emanuel is at most 251 pounds
Will give brainlist for once in my life
Answer:
15 weeks
Step-by-step explanation:
I just answered this one not too long ago
It will take 15 weeks for Emanuel to lose at most 251 pounds.
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.
If he plans to burn enough calories to lose 3 pounds per week,
We need to find that how many weeks will pass before Emanuel is at most 251 pounds,
So, let the number of weeks be x,
We will use here the concept of equations solving,
So, establishing the equations,
296 - 3x = 251
296 - 251 = 3x
45 = 3x
x = 15
Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.
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In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,025 and a standard deviation of $230. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 60 one-bedroom apartments and finding the mean to be at least $1,955 per month
Answer:
The probability is "0.9908". The further explanation is provided below.
Step-by-step explanation:
The given values are:
Mean,
[tex]\mu=2025[/tex]
Standard deviation,
[tex]\sigma =230[/tex]
Sample,
[tex]n=60[/tex]
According to the question,
The probability of selecting a sample of 60 one-bedroom apartments will be:
= [tex]P(\frac{\bar{x}- \mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{1955-2025}{\sqrt{\frac{230}{\sqrt{60} } } } )[/tex]
= [tex]P(Z\geq -2.36)[/tex]
= [tex]1-P(Z \leq -2.36)[/tex]
After placing the values, we get
= [tex]0.0092[/tex]
or
= [tex]09908[/tex]
adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°
Answer:
i. 82°
ii. 14°
iii. 28°
iv. 47°
v. 58°
Step-by-step explanation:
The trigonometric functions are given as:
Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Thus,
i. adjacent leg / hypotenuse = 0.139 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.139
= 82°
ii. opposite leg / adjacent leg = 0.249 = Tan θ
θ = [tex]Tan^{-1}[/tex] 0.249
= 14°
iii. opposite leg / hypotenuse = 0.469 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.469
= 28°
iv. adjacent leg / hypotenuse = 0.682 = Cos θ
θ = [tex]Cos^{-1}[/tex] 0.682
= 47°
v. opposite leg / hypotenuse 0.848 = Sin θ
θ = [tex]Sin^{-1}[/tex] 0.848
= 58°
Corbin can shoot 24 baskets In 3 minutes. Which table best
represents this relationship?
Answer:
Table CStep-by-step explanation:
This is the proportional relationship:
y = kxWe have x = 3, y = 24, then k is:
24 = 3k k = 8The table will look as:
x = 1 ⇒ y = 1*8 = 8x = 2 ⇒ y = 2*8 = 16x = 5 ⇒ y = 5*8 = 40Correct choice is C
Answer:
c
Step-by-step explanation:
You want to put a 5 inch thick layer of topsoil for a new 26 ft by 27 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:
Step-by-step explanation:
he volume of the topsoil is
28 ft by 21 ft by 5/15 ft = 245 cubic feet
There are 27 cubic feet in one cubic yard.
245/27 = 9.074074074.... = 9.074
Need 9.25 = 9 and 1/4 cubic yards
functions A and B are shown in the equation and graph. select the true statement.
Missing length..Area 90mm to the second power with base at 10mm. What is the millimeters
Answer:
5
Step-by-step explanation:
Pls help me complete this
Answer: The number of times a yellow cube will be drawn is 390 times.
Step-by-step explanation: Like the last question with the blue cubes, set up a ratio.
Since it is still 240 times drawn and we need to figure out how many times a yellow cube will be drawn from 1200 times, the top number only changes.
78/240 = x/1200
Multiply 78 and 1200, which is 93,600.
Divide that by 93,600, which is 390.
What is the solution of the equation?
Answer:
+8 and -8, 2nd answer from the right.
The following dot plots compare the height of the members of the basketball team and the swimming team.
Determine the mean, median, mode and range for the dot plot. Show your work.
(2pts) Mean:
(2pts) Median:
(1pt) Mode:
(2pts) Range/Spread:
I'm not confident with the Mean but the rest should be correct.
Mean - 709.6 ( All numbers added up then, divided by the numbers there are)
Median - 65 ( Number in the middle)
Mode - 65 ( Most repeated number)
Range - 8 ( Greatest number - Smallest number)
-5x+5y=10
3x-3y= -10
Answer:
ummmm math?
Step-by-step explanation:
please help me with this :D
someone please help me answer this!!
Answer:
a = 18 ft is the answer.
Step-by-step explanation:
a = ?
b = 24 ft
c = 30 ft
According to the Pythagoras theorem,
a² + b² = c²
a² + 576 = 900
a² = 900 - 576
a² = 324
a = 18 ft
∴ a = 18 ft is the length of the missing leg.
Answer:
18 feet
Step-by-step explanation:
The Pythagorean theorem is a formula that can be used to find the unknown side length of a right triangle when given the length of the other two sides. The general formula for the Pythagorean theorem is the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or rather the sides adjacent to the right angle of the right triangle. Additionally, (c) is the hypotenuse or the side opposite the right angle of the right triangle.
Substitute in the given values and solve, let parameter (a) represent the unknown side of the triangle,
[tex]a^2 + b^2 = c^2\\[/tex]
Substitute,
[tex](24)^2 + a^2 = (30)^2\\[/tex]
Simplify,
[tex]576 + a^2 = 900[/tex]
Inverse operations,
[tex]576 + a^2 = 900\\-576\\\\a^2 = 324\\\sqrt{}\\\\a = 18[/tex]
If y’all could help on this one that would be great, no rush I have a week to turn in just make sure it’s correct and explains it I will give 50 points, thank you :)
ANSWER
-1,-1 is P
-4, -3 is R
-2, -3 is Q
I think this is the answer hope it helps :)
Yolanda painted 2/5 of a wall in 40 minutes. If she keeps painting at the same rate, how much longer will it take her to finish painting the wall
Answer:
60 minutes
Step-by-step explanation:
She painted 2/5 of the wall.
She still needs to paint 3/5 of the wall.
3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.
1.5 * 40 minutes = 60 minutes.
Answer: 60 minutes
pls help me answer number 2.
Answer: x=3, elimination method
Step-by-step explanation:
x=3
-7x-2y=-13 -> -7x-2y=-13
-(x-2y=11) -> -x+2y=-11
-----------------
-8x=-24
x = 3
elimination method
because you can easily eliminate one variable (y) using the elimination method
Tim played soccer for 55 minutes this afternoon. He started at 3:20. What time did he finish?
F(x)=-x^2 find f(3)……………………………
Answer:
- 9
Step-by-step explanation:
[tex]F(x)=-x^2 \\ \\ plug \: x = 3 \\ \\ F(3)=-(3)^2 \\ \\F(3) = - 9[/tex]
Kim and Courtney share a 16oz box of cereal. By the end of the week, Kim has eaten 3/8 of the box and Courtney has eaten 1/4 of the box of cereal. What fraction of the box is left?
Answer:
3/8 of the box is left.
Step-by-step explanation:
Answer:
3/8 is left over
Step-by-step explanation:
First we have to convert 1/4 to 3/8 to do this times 1/4 by two to get 2/8
Next add 3/8 and 2/8 which equals 5/8
Finally, we need to subtract 5/8 from 8/8 to get 3/8
Hope this helped!!
Write the number 8.7 x 10^-6 in standard form.
the length of a road is 1000 miles. if 1 inch represents 100 miles, what is the length of the road on the map?
Answer: 10 miles
Step-by-step explanation:
Given
The length of the road is 1000 miles
Solve
The length of the map to real=1 : 100Let x be the length on the map1 : 100 = x : 1000 ⇔ Proportion Set Up
100x = 1000 ⇔ Cross Multiply
100x/100 = 1000/100 ⇔ Divide both sides by 100
x=10 ⇔ Simplify
Hope this helps!! :)
Please let me know if you have any questions
mrs shalini asked her students to draw pictures of their home. 17/30 used color pencils and 11/30 used crayons for coloring. what fraction of the class used either color pencils or crayons?
Answer:
23/25 of the class used either color pencils or crayons
Step-by-step explanation:
56% used color pencils
36% used crayons
36% + 56% = 92%
turn 92% into a fraction = 92/100
simplify = 23/25
I need help solving the question?????????
Answer:
x.......y
-8...-2
-1....1
0....0
1....-1
8...2
Answer:
-2
-1
0
1
2
Step-by-step explanation:
in order to find the y values you need to plug in the x values in the table into the function
the cube root of -8 is -2 (since this is a cube root instead of a square root we can have negative values in it because when we cube negative values we get negative values i.e. -2³=-8 ; -3³=-27)
the cube root of -1 is -1
the cube root of 0 is 0
the cube root of 1 is 1
the cube root of 8 is 2
In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?
Answer:
12
Step-by-step explanation: