Answer:
x = -12
Step-by-step explanation:
The x coordinate is the same so it is a vertical line with equation x = -12
The figure is made up of two cones and a cylinder. Both cones and the cylinder have a 10 mm diameter. What is the exact volume of this figure? What is the volume of this figure? 250πmm³ 400πmm³ 625πmm³ 2500πmm³ Two 15 millimeter high cones with 10 millimeter diameters are connected to each other at their vertices. A 15 millimeter high cylinder with a diameter of 10 millimeters is connected to the cone on the right.
Answer:
625πmm³
Step-by-step explanation:
The exact volume of the figure will be the sum total of volume of the two comes and one cylinder.
Volume of a cone = 1/3πr²h
r is the radius of the cone
h is the height of the cone
Since the cone are 15mm high, their individual height = 15mm
Diameter = 10mm, radius = 5mm
Volume of a cone = 1/3× π × 5²×15
Volume of a cone = 1/3 × π × 25 × 15
Volume of a cone = 125πmm³
Volume of both cones = 2(125π) = 250πmm³
Volume of a cylinder = πr²h
Height of the cylinder = 15mm
Radius of the cylinder = 5mm
Volume of the cylinder = π(5)²×15
Volume of the cylinder = 375πmm³
Volume of the composite solid = volume of the two cones + volume of cylinder.
= 250πmm³+375πmm³
= 625πmm³
Answer: 625pimm^3
Step-by-step explanation:
-14 -8 = -2 (-3x + 7)
Please answer
Answer:
-4/3
Step-by-step explanation:
-14 -8 = -2 (-3x + 7)-22= 6x-146x=14-226x=-8x= -8/6x= -4/3The first term in a Geometric series is 3 and the third term is 27. What is the second term
Answer:
9
3 x 3 = 9
9 x 3 = 27
Hope this helps
Step-by-step explanation:
Answer:
9 is the second term
Step-by-step explanation:
1st question I want to solve
Answer:
34.64
Step-by-step explanation:
take tan value and solve the triangle
-18/-32/41/8/-11 from least to greatest
Answer:
The answer is -32, -18, -11, 8, 41.
Step-by-step explanation:
For negative number, the greater the number the smaller it is. For example, -2 is smaller than -1. ( -2 < -1 )
For positive number, the greater the number the larger it is. For example, 1 is smaller than 2. ( 1 < 2 )
Answer:
-32, -18, -11, 8, 41
Step-by-step explanation:
The diagram shows a semi circle inside a rectangle of length 150m. Calculate the perimeter
Answer:
Approximately 268m
Step-by-step explanation:
In this diagram a semi circle is drawn inside a rectangle of length 150m.
Length of diameter of a semicircle = 150 m
So radius of the semicircle = 150/ 2 = 75m
We have to find the perimeter of the shaded region.
Perimeter of the shaded region = length of tangents drawn on the circle at A and B + m(arc AB)
Length of tangents = radius of the semi circle = 75 m
and m(arc AB) = Perimeter of a circle/ 4 = (2 x pi x r) / 4
= 2 x pi x 75 / 4
= 471 / 4
= 117.75 m
Now Perimeter of the shaded region = 75 + 75 + 117.75
P = 267.75 ≈ 268 m
A rectangular prism has a top face with an area of 20 ft2 and a height of 5 ft. What is the volume of this rectangular prism? This is a 5th grade Question
Answer:
the volume of the rectangular prism is 100 ft³
Step-by-step explanation:
Given;
area of top face of a rectangular prism, A = 20 ft²
height of the rectangular prism, h = 5 ft
Volume of the rectangular prism = Area of top face x height of the rectangular prism
Volume of the rectangular prism = A x h
Volume of the rectangular prism = 20 ft² x 5 ft
= 100 ft³
Therefore, the volume of the rectangular prism is 100 ft³
If ladders are difficult to use for high floors, what are some other options? What is the level of safety of each of your options? Explain using mathematical facts.
Answer:
Stairs, escalators, elevators, ramps...
Step-by-step explanation:
If ladders are difficult to use for high floors another very common options are stairs. you see them pretty much everywhere. Escalators and elevators are also used, elevators more often that escalators.
I don't know how to make it sound "mathy" but..
Ladders are super straight and so for high floors, the slope of the ladder will be too steep for anyone to climb without gravity interfering.
The level of safety with stairs is higher because instead of going straight up, The steps provide a flat surface for someone to stand on while climbing the stairs and there is a much more stable foundation. Stairs can have protection like a guard rail and even go in a spiral motion upwards because they are more stable and safe. It is still possible to fall if one is not careful because of pesky gravity.
Escalators are pretty much moving stairs and the level of safety is greater because of the strong foundation and flat surface to stand on. Of course falling can happen, lowering the safety, but this is not likely because of the slowly enough moving steps. There is a rail as well and as long as people are careful, there aren't usually any casualties.
Elevators take up way less space than stairs and escalators because they can go straight up and down. The level of safety is fairly high because an elevator is a pulley system and people don't involve all that much moving around. Just go in the mechanical box, the doors close for safety, click a button, and then go up or down.
I don't know how to incorporate mathematical facts into this question because this is literally logic not math in my opinion. Honestly, ladders aren't even used that much, I don't think, except for building and house work.
I hope this helps you with whatever you are doing!
<3
A two digit number less than 30 is written down at random. What is the probability that it Will be a prime number?
Answer:
there are 20 2 digit numbers less than 30.
out of all of them 6 are prime
then there is only a 6/20 chance that it will be a prime number, or a 30% chance.
the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.
To determine the probability that a randomly chosen two-digit number less than 30 is a prime number, we first need to identify the prime numbers within this range.
The prime numbers less than 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
Out of these ten prime numbers, we need to count how many are two-digit numbers less than 30. There are five such prime numbers: 11, 13, 17, 19, and 23.
Since we are considering all possible two-digit numbers less than 30, which is a total of 29 numbers, the probability of randomly selecting a prime number is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 5 / 29
Hence, the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.
Learn more about probability here
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Find the measure of angle x in the figure below:
Answer:
70 degrees
Step-by-step explanation:
The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:
x+55+55=180
x+110=180
x=180-110=70
Hope this helps!
Can someone help me :(
Answer:
The answer is B. Two Foci, hope this helps! :)
Answer:
center of focus
Step-by-step explanation:
i hope this help "whole lotta love" NUNU
De uma carga de areia, 5 caminhões carregam 203 de areia cada um. Quantos caminhões serão necessários para carregar essa carga sendo que cada caminhão carregará 253 de areia?
Answer:
4 trucks
Step-by-step explanation:
Here, we are told that 5 trucks carry a load of 20 m^3 each
This means that the total amount of load is 5 * 20 = 100 m^3
Now, we are having this load carried by a number of trucks with each carrying 25 m^3
The number of trucks that would carry the load would be 100 m^3/25 m^3 = 4
Can someone please help me with this?
Answer:
First option is the correct answer
Second option is the correct answer
Step-by-step explanation:
Five added to a number, then divides by two equals eight
[tex] \frac{x+5}{2} = 8[/tex]
Three added to one fourth of a number gives seven.
[tex] \frac{1}{4} x+3= 7[/tex]
Answer:
Step-by-step explanation:
1) option A
Let the number be x
Five added to a number = x +5
Then divided by 2 : [tex]\frac{x+5}{2}[/tex]
Equation:
[tex]\frac{x+5}{2}=8[/tex]
2) option B
one fourth of a number: (1/4)x
Three added to one fourth of a number : [tex]\frac{1}{4}x+3[/tex]
Equation:
[tex]\frac{1}{4}x+3=7[/tex]
one tennis club charges $30 per session to play tennis.another tennis club charges an annual fee of $48 plus $22
Answer: Dear Stella, I love you
Step-by-step explanation:
I've loved you ever since the first time I saw you but I was too much of a coward to express this love. and if you report this i understand... because it means you dont love me back and that will be okay because I will just jerc off to you changing in your bedroom. thats right i watch you cause I love you.
A student had taken 7 tests and received scores of 88, 73, 81, 83, 79, 73, and 97.
what is the mean of the test scores?
Answer:
Average is 82
Step-by-step explanation:
88 + 73 + 81 + 83 + 79 + 73 + 97 = 574
Count of numbers = 7
574/7 = 82
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled for the flowers to last the longest. Her cylinder vase has a radius of 3 in and a height of 8 in. Using the equation below, how much water should Mary pour into the vase?
The volume of a cylinder with height h and radius r is given by the formula:
V=πr2h
Answer:
72π
Step-by-step explanation:
To solve this, we just have to find the volume of the cylinder.
We know the formula for the volume of a cylinder is V=πr^2h as given.
That said, we can plug our values in.
V=π3^2(8)
Simplify.
V=π9*8
V=72π
It needs 72π cubic inches of water.
This is also equivalent to around 226.19 cubic inches of water.
what is (2x + 1)(3x + 7) simplified
Answer:
6x^2+14x+3x+7=6x^2+17x+7
Answer:
[tex]6x^{2}[/tex]+17x+7 and zeros are -7/3 and -1/2
Step-by-step explanation:
You multiply every property by every variable not in their own parentheses.
2x*3x=6x^2
2x*7=14x
3x*1=3x
7*1=7
6x^2+3x+14x+7
add like variables together 3x+14x
6x^2+17x+7
( To get the zeros just make each equation in the parentheses equal to zero and solve for x.) ex 2x+1=0 x=-1/2
Please answer this question immediately ...I need help pls
Answer:
39/46
Step-by-step explanation:
Now, the key to answer this first is knowing the value of cos θ
Mathematically, when we have sin θ
What we have is the ratio of the opposite to the hypotenuse side
Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13
Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem
This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides
So let’s say the adjacent or the third side is d
This means that;
13^2 = 5^2 + d^2
d^2 = 13^2 - 5^2
d^2 = 169-25
d^2 = 144
d = √(144)
d = 12
The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse
and that is 12/13
Hence Cos θ = 12/13
What we need last to answer the question is cos2 θ
Using trigonometric identity;
Cos2θ = cos^2 θ - sin^2 θ
Inputing the values of sine and cos of the angle theta, we have;
cos2θ = (12/13)^2 - (5/13)^2
cos2θ = 144/169 - 25/169 = 119/169
Thus;
cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)
= 12/13/(184/169)
= 12/13÷ 184/169
= 12/13 * 169/184
= (13 * 3)/46 = 39/46
Find the midpoint of the segment between the points (1, 1) and (4, -16)
Answer:
The midpoint is (5/2, -15/2)
Step-by-step explanation:
The x coordinate of the midpoint is the average of the x coordinates
(1+4)/2 = 5/2
The y coordinate of the midpoint is the average of the x coordinates
(1+-16)/2 = -15/2
The midpoint is (5/2, -15/2)
A monk crossbred plants which can have purple or white flowers and obtained 511 plants with white flowers and 337 plants with purple flowers find the empirical Probability that a plant had each type of flower
Answer:
For purple;
P(p) = 337/848 = 0.40
For white;
P(w) = 511/848 = 0.60
Step-by-step explanation:
Given;
Number of plants with purple flowers P = 337
Number of plants with white flowers W = 511
Total T = 337 + 511 = 848
For purple;
the empirical Probability that a plant had purple flowers P(p) is
P(p) = Number of plants with purple flowers/total number of plants
P(p) = P/T
Substituting the values, we have;
P(p) = 337/848 = 0.40
For white;
the empirical Probability that a plant had white flowers P(w) is
P(w) = Number of plants with white flowers/total number of plants
P(w) = W/T
Substituting the values, we have;
P(w) = 511/848 = 0.60
The maximum point on the graph of the equation
y = f(x) is (2,-3). What is the maximum point on
the graph of the equation y=f(x-4)?
Answer:
(6, - 3 )
Step-by-step explanation:
Given f(x) then f( x + c) represents a horizontal translation of f(x)
• If c > 0 then a shift to the left of c units
• If c < 0 then a shift to the right of c units, thus
y = f(x - 4) represents a shift to the right of 4 units, so
(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )
The maximum point on the graph after translation y = f( x -4) is (6 , -3)
What is translation of a graph?Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .
Horizontal translation to the left is given by f (x+ c) ,c >0
: (x, y) → (x- c , y)
Horizontal translation to the right is given by f (x- c) ,c >0
: (x, y) → (x+ c , y)
Given that the maximum point on the graph of the equation
y = f(x) is (2,-3)
To find the maximum point on the graph of the equation y = f(x-4)
f(x -4) is Horizontal Translation to the right with 4 units , c= 4
then (x, y) → (x+ c , y)
Thus the maximum point (2,-3) is moved to ( 2 +c , -3)
⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)
Therefore, the maximum point of the graph of the equation y = f(x-4) becomes (6,-3)
Also, Learn more abut translation of graphs from the link below:
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b) Work out the probability that a player
will select a red ball.
Answer:
The probability is equal to the number of times you chose the red ball out of the total balls.
Evaluate b^2c^1 for b=-4 and c= 2.
Answer:
32
Step-by-step explanation:
b^2c^1
Let b=-4 and c= 2
(-4)^2 ( 2)^1
16 * 2
32
Answer:
The correct answer is
-32
Step-by-step explanation:
All you need to do is plug in -4 and 2 into the equation to get:
4^2 times 2^1
This equals ...
-32
Hope this helps!
- xoxo Quinnisa
find the area for the figure (square and circle)
Answer:
257 square m
Step-by-step explanation:
Area of the figure
= Area of square + Area of semicircle
[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]
Answer:
257 square meters
Step-by-step explanation:
i just took the test
Which is the surface are of the right cylinder below?
A. 176 pi units^2
B. 144 pi units^2
C. 192 pi units^2
D. 72 pi units^2
Answer:
=176 pi units^2
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2 pi r^2 + 2 pi rh where r is the radius and h is the height
= 2 * pi * 8^2 + 2 pi *8*3
= 128pi + 48 pi
=176 pi units^2
With this diagram, what could be the values of c and d?
Math item stem image
CLEAR CHECK
c=4.2,d=−12
c=−5,d=−84
c=−15,d=11
c=7,d=−54
The values of c and d are c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11
How to determine the values of c and d?The complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
d = integers
c = rational numbers
Integers are numbers without decimal and rational numbers can be expressed as fractions
Using the above as a guide, we have the following possible values
c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11
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Quien me ayuda
(((2) ³) ²) ⁰
((((-3) ²) ²) ³) ⁰
Answer:
la respuesta a ambos es 1 porque si elevas cualquier numero a un exponente de 0 este queda en 1
what's meep + meep + meep + meep ? i'm having a hard time with this
Answer:
Duh MeepMeepMeepMeep
Step-by-step explanation:
bc I said
Answer:
Meepmeepmeepmeep or Meeeeeeeep.
Step-by-step explanation:
Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.
A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her starting point in 1 hour. What was her average rate of speed, in miles per hour, for the entire trip?
Answer:
3.33 miles per hour
Step-by-step explanation:
The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.
So, to find the average speed of the entire trip, we can use the formula:
distance = speed * time
With distance = 10 and time = 3, we have:
10 = speed * 3
speed = 10/3 = 3.33 miles per hour.
Find the 7th term of the geometric progression which begins -6250, 1250, -250
Answer:
[tex]-\frac{2}{5}[/tex]
Step-by-step explanation:
The geometric progression given is:
-6250, 1250, -250...
The first term (a) is -6250, and the common ratio (r) can be gotten by dividing the second term by the first term:
r = 1250/-6250 = [tex]-\frac{1}{5}[/tex]
A geometric progression is generally given as:
[tex]a_n = ar^{n - 1}[/tex]
where [tex]a_n[/tex] = nth term
The 7th term of the progression above is therefore:
[tex]a_7 = -6250 * (-\frac{1}{5} )^6\\\\a_7 = -\frac{2}{5}[/tex]
The 7th term of the geometric progression is;
a_7 = -2/5
The formula for the nth term of a geometric progression is;
a_n = ar^(n - 1)
Where;
a is first term
r is common ratio
n is the position of the term in the series
We are given the series;
-6250, 1250, -250...
Thus;
First term; a = -6250
Common ratio; r = 1250/-6250
r = -1/5
Thus;
a_7 = -6250(-1/5)^(7 - 1)
a_7 = -2/5
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