Answer:
radius r = 12 m
height h = 5 m
slant height s = 13 m
volume V = 753.982237 m ³
lateral surface area L = 490.088454 m²
base surface area B = 452.389342 m²
total surface area A = 942.477796 m²
The total surface area of cone is 942 cm².
What is Total surface area of Cone?Total surface area is the sum of the area of the circular base and the area of the curved part of the cone.
The total surface area of a cone is the sum of the area of the base and the lateral area:
SA = πr² + πrl
where, r is radius
l is slant height
Now, for finding the slant height of the given cone is
l² = r² + h²
l² = 12² + 5²
l² = 144 + 25
l² = 169
l = 13 cm
Now, SA = π X 12² + π X 12 X 13
= 144π + 156π
= 300π
= 300 X 3.14
= 942 cm²
Thus, the total surface area of cone is 942 cm².
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Determine and state an equation of the line perpendicular to the lines 5x-4y=10 and passing through the point (5,12). in point-slope form.
Please help I will mark branilest!!! and give 100 points
The equation of the line in point-slope form is: y - 12 = -4/5(x - 5).
What is the Equation of a Line in Point-slope Form?It is given as, y - b = m(x - a), where (a, b) is a point on the line and m is the slope of the line.
Rewrite 5x-4y=10 in slope-intercept form:
-4y= - 5x + 10
y= -5x/-4 + (10/-4)
y = 5/4x - 5/2
The slope is 5/4
The line that is perpendicular to 5x-4y=10 will have a slope which is the negative reciprocal of 5/4, which is -4/5.
Substitute (5, 12) and -4/5 into y - b = m(x - a):
y - 12 = -4/5(x - 5) [point-slope form]
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What type of association is shown by the data? Explain how you know.
Answer:
Positive association Hope this helps
Help! I will give brainliest!!!!
Answer:
35.53 meters = circumf
Step-by-step explanation:
76 degrees out of 360 degrees = 7.5 m
76 / 360 * x = 7.5
x = 35.53 m
A die is rolled eight times. What is the
probability of getting exactly three 6's?
Answer:
0.1042, 10.42%
Please helkp me my math is going to make me cry. I can't math.
graph the quadratic function f(x)=2x^3-18x
Graph the cubic using its end behavior and a few selected points.
Falls to the left and rises to the right
x y
-2 20
-1 16
0 0
1 -16
2 -20
Pleaseeeee helpppp meee :)))
A. 51
Step-by-step explanation:
Virtical angles are congruent
What is the remainder when (x4 36) is divided by (x2 – 8)?
Answer:
(x4 36) I didn't that is . or + so I solved it on +
Hope that what you looking for :)
Step-by-step explanation:
BY Using the long divison method, x⁴ + 36 is divided by x² - 8 is 100
Dividend = x⁴ + 36
Divisor = x² - 8
_____x²+8
x² - 8 | x⁴ + 36
| x⁴ - 8x²
-8x² + 36
8x² - 64
_100
The remainder is calculated as (36 - (-64)) = (36 + 64) = 100
Therefore, the remainder is 100
My dog weights 22lbs how many kg is that?
Answer:
Your dog weighs 9.97903kg.
Step-by-step explanation:
[tex]1lb = 0.453592kg[/tex]
[tex]22lbs * 0.453592kg/lbs = 9.97903kg[/tex]
How to find x and y? We didn’t study much about the rhombus at all
Answer:
answer can be any numbers but I will choose
x = 50° and y =130°
Step-by-step explanation:
We know all the inner degree of rhombus =360°
Then, x+y+x+y = 360°
or,2x + 2y = 360°
or, 2(x + y) = 360°
or, x + y = 360°/2
or,x + y = 180°
Let x = 50° then
50° + y = 180°
or, y = 180° - 50°
or, y = 130°
Klaudia can swim five laps in the city pool every two and a half minutes If she swims for half an hour every day, how many laps does she swim every four days?
Answer:
240
Step-by-step explanation:
30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps
PLS HELP ME ILL GIVE YOU BRAINIEST!!!
The total surface area of the three figures are 702 square feet.
How to estimate the amount of metal needed to produce a given amount of figures
According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.
In this case, we need to estimate the total surface area ([tex]A_{T}[/tex]), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (n), no unit, and the surface area of each piece (A).
Now we proceed to calculate the total surface area:
[tex]A_{T} = n\cdot A[/tex]
[tex]A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\[/tex]
[tex]+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ][/tex]
[tex]A_{T} = 702\,ft^{2}[/tex]
The total surface area of the three figures are 702 square feet. [tex]\blacksquare[/tex]
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The radius of a circle is 4 yards. What is the circle's circumference?
r=4 yd
Use 3.14 for .
Answer:
25.12 yd
Step-by-step explanation:
Radius (r) = 4 yd
π = 3.14
Circumference of the circle
= 2πr
= 2 × (3.14) × (4)
= 25.12 yd
_________
Hope it helps ⚜
Answer:
25.12 yards
Step-by-step explanation:
Circumference formula : 2πr
r = radiusSolving
C = 2πrC = 2 x 3.14 x 4 [given π = 3.14 and r = 4]C = 3.14 x 8C = 25.12 yards100 POINT!!!!!
A boating company has the following notice at the gate:
"Children under the age of 13 are not allowed to operate a boat".
Part A- Write an inequality to show the age of children who are allowed to operate a boat.
Part B- Describe in words how you can show the solution to this inequality of a number line.
Answer:
Part A:
x > 13
Part B:
How to show this inequality on a number line is a closed circle on 13, going left of 13.
Step-by-step explanation:
Part A:
x represents the age of children who are allowed to operate the boat.
Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,
the inequality x > 13 reads x (the age of children) is greater than or equal to 13
Part B:
How to describe inequalities on a number line;
Closed circle: less than or equal to - or - greater than or equal to ( < , > )
Open circle: less than - or - greater than ( < , > )
To the right of the number on the number line: greater than
To the left of the number on the number line: less than
Answer:
Part A
Let x = age of child (in years)
Given:
"Children under the age of 13 are not allowed to operate a boat"
Therefore, children should be 13 or older:
⇒ x ≥ 13
Part B
Place a closed circle at 13.
Shade to the right of the closed circle.
16.) a) A group of college students are volunteering for Help the Homeless during their
spring break. They are putting the finishing touches on a house they built. Working
alone, Irina can paint a certain room in 5 hours. Paul can paint the same room in 10
hours. How many hours will it take them to paint the room?
bl Raul
Answer:
[tex]3\frac{1}{3}[/tex] or [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
We could use the combined rate equation to find the combined rate of work.
Combined rate of work formula: [tex]\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }[/tex], where [tex]t_{1}[/tex] is the individual time for object A, [tex]t_{2}[/tex] the individual time for object B and [tex]t_{b}[/tex] is the time for A and B together.
The time it takes Irina to paint the room alone, [tex]t_{1}[/tex] = 5 hours
The time it takes Paulo to paint the room, [tex]t_{2}[/tex] = 10 hours
1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change [tex]t_{b}[/tex] into an [tex]x[/tex].
[tex]\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }[/tex]
2) Add the fractions.
[tex]\frac{1}{x} = \frac{3}{10}[/tex]
3) Solve for the [tex]x[/tex].
[tex]x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\[/tex]
4) Change them into a mixed fraction.
[tex]3\frac{1}{3}[/tex]
Note: [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{3}[/tex] are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose [tex]3\frac{1}{3}[/tex].
25 points to anybody who can solve this pls!
Answer:
Q' (2,4)
R' (3,1)
S' (5,3)
Step-by-step explanation:
When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.
Answer:
Q=(2,4)
R=(3,1)
S=(5,3)
Step-by-step explanation:
The x value stays the same when reflecting in the x axis
And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.
Please give brainliest :)
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the
CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have
been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a
possible investment.
What is the annual interest you would earn on each bond?
Answer:
$3172.50
Step-by-step explanation:
Answer:
Step-by-step explanation:
C
Using the distributive property, marta multiplied the binomial (2x 3) by the trinomial (x2 x – 2) and got the expression below. (2x)(x2) (2x)(x) (2x)(–2) (3)(x2) (3)(x) (3)(–2) which is the simplified product? 2x3 6x2 – x – 6 2x3 x2 – x – 6 2x3 5x2 – x – 6 2x3 – x2 – 7x – 6
An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,
[tex](2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6[/tex]
Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).
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352,345,338,... Find the 43rd term
Step-by-step explanation:
it seems we are dealing with subtraction, as the differences between the 1st and second, and between the 2nd and 3rd numbers are equal : -7
so, we can assume that the sequence is created by always subtracting 7.
a1 = 352
a2 = a1 - 7 = 352 - 7 = 345
a3 = a2 - 7 = a1 - 7 - 7 = 352 - 7 - 7 = 338
an = an-1 - 7 = a1 - 7(n-1) = 352 - 7(n-1)
a43 = 352 - 7(43-1) = 352 - 7×42 = 352 - 294 = 58
Which of the following sets of ordered pairs represents a function ?
A. (-1, 15), (0,10), (0,5), (2,5), (5,-5)
B. (-7, -1), (-7,0), (-7,1), (-7,2), (-7,3)
C. (-5,10), (-3,6), (0,0) (5,10)
D. (-8,3), (-4,3), (0,3), (0,5), (4,5)
Answer:
Letter C
Step-by-step explanation:
A function has to have no repeating x-intercepts.
which unit would be best to measure the length of a whale
3x=1/2y
circle the ratio x:y
Answer:
1:6 is the answer
Step-by-step explanation:
If X is equal to 1, Y would equal 6...
Because X is /3 of half of Y
so if Y is 6 then divide by 2 then divide by 3 to get 1
the reverse... (X x 3) x 2 = Y
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Alda's allowance follows the equation
y = 10(1. 2)
where t is time in weeks. Which equation represents the the
approximate daily interest rate?
Please help. The question that I need help on is on the Picture.
Answer:
V = 104 in³
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = lbh ( l is length, b is breadth, h is height )
here l = 13 , b = 2, h = 4 , then
V = 13 × 2 × 4 = 26 × 4 = 104 in³
Solve and graph
3/4 n + 12 ≥ -36
[tex]\huge\fcolorbox{blue}{yellow}{Answer:}[/tex]
══════════════════════
Answer:
[tex] = n\geq -64 [/tex]
Solution:
[tex]\frac{ 3 }{ 4 } n+12 \geq -36[/tex]
[tex]\frac{3}{4}n\geq -36-12 [/tex]
[tex]\frac{3}{4}n\geq -48 [/tex]
[tex]n\geq -48\times \left(\frac{4}{3}\right) [/tex]
[tex]n\geq \frac{-48\times 4}{3} [/tex]
[tex]n\geq \frac{-192}{3} [/tex]
=[tex]n\geq -64 [/tex]
═════════════════════
Explanation:
#Carry on learning
Solve for x, then find the measure of the angle given
Answer:
The value of x is 55⁰.
Step-by-step explanation:
Let n be X,
(n+7)⁰+(3n-47)⁰=180⁰
or,n+7+3n-47=180
or,4n-40=180
or,4n=180+40
or,4n=220
or,n=220/4
.:n=55⁰##
Find the measurement for angle x.
If the average of 8, 11, 25, and p is 15, then 8 + 11+ 25 + p =
1)16
2)44
3)56
4)60
5)64
Answer:
44,15,29
Step-by-step explanation:
8 + 11 + 25 + p=
simplify
44 + p
8 + 11 + 25 + p = 15
p=29
but your real answer for p is p= 44
Write an explicit formula for a,, the nth
term of the sequence 39, 45, 51, ....
Answer:
[tex]a_n=33+6n[/tex]
Step-by-step explanation:
General form of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
Given terms:
[tex]a_1=39[/tex][tex]a_2=45[/tex][tex]a_3=51[/tex]To find the common difference, subtract a term from the next:
[tex]d=a_3-a_2=51-45=6[/tex]
Substitute [tex]a=39[/tex] and [tex]d=6[/tex] into the formula:
[tex]\implies a_n=39+6(n-1)[/tex]
[tex]\implies a_n=39+6n-6[/tex]
[tex]\implies a_n=33+6n[/tex]
A sum of amount Rs. 720 is divided into 2 parts in the ratio of 3:5.How much will be the amount in the second part?
Answer:
3x + 5x = 720
8x = 720
x = 90
1st) 3x = 3 x 90
270
2nd) 5x = 5 x 90
450
The length of a rectangular frame is represented by the expression 2x + 10, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square Inches.
A: 4x^2+32x-80=0
B: 4x^2+32x+60=0
C: 2x^2+32x-80=0
D: x^2+16x+60=0
Answer:
A
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
= (2x + 10)(2x + 6) ← expand using FOIL and equate to 140
= 4x² + 12x + 20x + 60 = 140
= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )
4x² + 32x - 80 = 0
Answer:
A: 4x² + 32x - 80 = 0
Step-by-step explanation:
Length = 2x + 10 inWidth = 2x + 6 inArea = 140 in²Formula
Area (rectangle) = Length x WidthSolving :
140 = (2x + 10)(2x + 6)2x(2x) + 10(2x) + 2x(6) + 10(6) = 1404x² + 20x + 12x + 60 = 1404x² + 32x - 80 = 0The correct option is A