Alright let's solve this step by step:
Question 1: Find the perimeter of the baseDefinition of Perimeter: is all the side length of the shapes added up⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km
Question 2: Height of PrismDefinition of height: is the distance from the base of the figure to the top base of the figure
⇒ Height = 4.3km
Question 3: Lateral AreaDefinition of Lateral Area: area of nonbase face only
⇒ area of the two rectangles on the narrower side of the figure
⇒ plus the area of the pentagon on the wider side of the figure
Area of Pentagon= [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]
Area of Rectangle = 6 * 5 = 30 km^2Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2
Question 4: Find the area of the base
Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2
Question 5: Find the surface area of the figureDefinition of the Surface Area: it is a measure of the total area that the surface of the object occupies
⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2
Hope that helps!
A spinner and 4 cards are shown below:
A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.
Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?
1 over 20
1 over 5
1 over 4
9 over 20
Answer:
1 over 20
Step-by-step explanation:
Given that:
a spinner and 4 cards
A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green
Arrow point at purple
Four cards ⇒ Color : Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find - Probability spinner stops at purple & select pink card.
Solve:
Multiply 4 (the number of cards) with 5 (The number of equal sectors)
[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex] {1 × 1 = 1} {5×4=20}
~lenvy~
Answer:
1 over 20
Step-by-step explanation:
Given the following:
1 spinner and 4 cards
A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.
{Arrow point at purple}
Four cards ⇒ which color are Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find → Probability spinner stops at purple & select pink card.
Since, purple and pink only has one in each of Spinner/card
Thus,
Spinner (5 equal sectors - 1/5}
Card {4 cards - 1/4}
1/4 × 1/5 = 1/20
Hence, probability spinner stops at purple & select pink card is [A] 1/20
[RevyBreeze]
If the given is DEFG is a kite how do I prove that triangle EFH is congruent to triangle GFH
Answer:
They both have H hoel
Step-by-step explanation:
\
Answer number 6 please. Bots don’t answer I’m just trying to get help
Answer:
B
Step-by-step explanation:
20 × 2/5 = 8
15 × 2/5 = 6
5 × 2/5 = 2
p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...
yeah, your welcome :)
I need help I really don't get this ?
Answer:
466,207,795.2 cm^3
Step-by-step explanation:
The equation to find both, the volume of the sphere and cube, are given.
The sphere:
V = [tex]\frac{4}{3}[/tex]πr^3
the radius is 7 ft therefore
V = [tex]\frac{4}{3}[/tex]π7^3
The problem says to use 3 for pie therefore
V = [tex]\frac{4}{3}[/tex](3)7^3
7 to the power of three is
V = [tex]\frac{4}{3}[/tex](3)343
[tex]\frac{4}{3}[/tex] and 3 cancel each other out to equal 4
V = 4 × 343
V = 1,372 ------> volume of sphere
______________________________________________
The cube:
V = Legth × width × height
V = 12 × 12 × 12
V = 1,728 ------> volume of cube
_______________________________________________
Total volume:
1,372 + 1,728 = 3,100 ft^3
But the question asks for the mesurement in centimeters so convert feet to centimeters using a calculator :)
3,100 ft^3 = 87,782,080 cm^3
Select the two expressions that equivalent to 4 + w + 12w
A. 4+13w
B. 13w2 + 4
C. 2(2+6w)+w
D. 16 + 2w
W. 2(2+6w2)
Answer:
A and C :)
Have an amazing day!!
Please rate and mark brainliest!!
answer this easy please help
Answer:
1320
Step-by-step explanation:
The sample ad 600 chips. They wanted to test 36000 chips. 600*60=36000
If 22 out of 600 chips were defective, and 600*60=36000
Then 1320 chips were defective out of the 36000 because 22*60=1320.
Please help!!!!! I will give brainliest (As soon as i figure out how) LOL Im new here
Answer:
H= 8 k = 11
Step-by-step explanation:
H= 8 k = 11
sqrt ( x^8 k^11) = x^4 k^5 sqrt k
Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning. running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours. how much energy did marco waste, in terms of hours which a 60-watt light bulb would remain on? a. 7.9 hours b. 61.6 hours c. 56.0 hours d. 264.0 hours
The amount of energy waste, in terms of hours which a 60-watt light bulb would remain on, is 61.6 hours then the correct option is B.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning.
Running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours.
Then we have
[tex]\begin{aligned} \dfrac{5\ minutes}{14 \ hours } &=\dfrac{1\ minute }{x \ hours}\\\\x &= 2.8 \ hours \end{aligned}[/tex]
So, the rate is 2.8 hours per minute.
Since macro leaves the bathroom faucet running for 22 minutes. Then the waste of energy is leaving a 60-watt light bulb will be
→22 minutes × 2.8 hours/minute = 61.6 hours.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
Please help! Will mark brainliest!!
Answer:
x=2+\sqrt{6}, :x=2-\sqrt{6}
Step-by-step explanation:
those are the 2 awnsers
Step-by-step explanation:
[tex](x - |2| ){}^{2} = 2 + {2}^{2} [/tex]
[tex]x - 2 = \sqrt{6} \\ x = + - \sqrt{6} + 2 \\ x = - \sqrt{6} + 2 \\ x = \sqrt{6} + 2[/tex]
a number is divisible by 11 if
Answer:
Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.
Step-by-step explanation:
Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.
The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered
paintings, what is the probability that Tim's and Abby's paintings are in the 6th and 7th positions?
The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.
Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be
[tex]P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
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What’s is the right answer choice to the picture.
Q has coordinates
(2,-4)P is 6units left
P(2-6,-4)=(-4,-4)R is 7units up
R(2,-4+7)R(2,3)Option B
Answer:
B) P (-4, 4) and R (2, 3)
Step-by-step explanation:
Q = (2, -4)
If ΔPQR is a right triangle, then
Missing point 1 will be on the x = 2 lineMissing point 2 will be on the y = -4 lineIf PQ is 6 units, then
P = (2-6, -4) = (-4, -4) or
P = (2, -4+6) = (2, 2)
If QR is 7 units, then
R = (2-7, -4) = (-5, -4) or
R = (2, -4+7) = (2, 3)
Therefore, P (-4, 4) and R (2, 3)
A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.
We can find the bat's wholesale cost by working backwards -
Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.
Therefore, the wholesale cost of the bat is $8.
Happy to help!
Answer:
The bat's wholesale cost is $8
Step-by-step explanation:
You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.
Find x:
A)3
B)2.5
C)4
D)7.5
Answer:
D
Step-by-step explanation:
Because I said so ho3
Paul is moving to Australia. The total weight of his 4 suitcases is shown
on the scale to the right. On a number line, round the total weight to the
nearest 100 kilograms.
(this is 3rd grade math btw)
Answer:
100
Step-by-step explanation:
Because 127 rounded is to 100, as if it goes over 150 then round it to 200 , but if it goes lower than 150 then it's 100.
Mike, Roy, and Leen are eating sweets. • Mike eats 2 less than Roy. • Leen eats three times more than Mike and Roy combined. • Altogether they ate 24 sweets. How many sweets did Roy eat?
Answer:
Roy eat 4 sweets
Step-by-step explanation:
Roy =R
Mike= (R-2)
Leen= 3(R+ R-2)
R + (R-2) + 6R-6 = 24
8R-8=24
8R=32
R=4
Mike 4-2 = 2
Leen 3(4+2) = 18
4+2+18=24
Determine the oreadred pair for (-10,3) when it has been reflected over the y-axis
Answer:
(10 , 3)
Step-by-step explanation:
When you reflect over the y-axis, you are flipping the sign of the x-coordinate.
Likewise, when you reflect over the x-axis, you are flipping the sign of the y-coordinate.
In this case, you are reflecting over the y-axis, and the pair given to you is (-10, 3). When you reflect over the y-axis, you must flip the sign of the x-coordinate.
(-10 , 3) reflected over the y-axis is (10 , 3).
~
what are the numbers for pie I need to know
Answer:
Pi is exactly [tex]3.1415926535897932384626433832795[/tex]
Pi is often used in mathematical expressions, calculating measurements, and finding circumference as well as volume.
A small movie theater sells children's tickets for $4 each and adult tickets for $10 each for an animated
movie. The theater sells a total of $388 in ticket sales.
(a) If c represents the number of children's (b) Show that c= 52 and a =18 is a solution to
tickets sold and a represents the number of
this equation (not system).
adult tickets sold, write an equation that
models the information shown above.
C) Show that after multiplying both sides of the
equation in (a) by 2, c=52 and a=18 is
still a solution to this equation.
(d) How can you interpret multiplying both sides
of the equation by 2 in letter (a) in terms of
ticket prices and total ticket sales?
Answer:
b) Show that c= 52 and a =18 is a solution to
tickets sold and a represents the number of
this equation (not system).
Linear equation that models the given equation is 4c + 10a = 388 where c is the number of children ticket sold and a is the number of adult ticket sold. c = 52 and a = 18 is a solution to the linear equation. Multiplying a constant on both sides of the equation won't affect its solutions.
What is linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
Let number of children ticket sold be c.
Let number of adult ticket sold be a.
Cost of one children ticket = $4.
Cost of one adult ticket = $10.
Total sales = $388
Linear equation that models the above equation: 4c + 10a = 388
Checking if a = 18 and c = 52 is a solution of the equation. It can be done by substituting the values.
LHS: 4c + 10a = 4*52 + 10*18 = 388
RHS: 388
Hence, c = 52 and a = 18 is a solution to the linear equation.
Multiplying 2 to both sides of the equation:
2(4c + 10a) = 2(388)
8c + 20a = 776
Substituting c = 52 and a = 18.
8(52) + 20(18) = 776
c = 52 and a = 18 is still a solution to the linear equation.
Learn more about linear equation here
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Expand and simplify (2x−12) ^2
Answer:
[tex]\boxed{4x^{2} - 48x + 144}[/tex]
Step-by-step explanation:
Given expression:
(2x - 12)²To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².
[Where "a and b" are the first and second term in (a - b)²]
[tex]\rightarrowtail (2x - 12)^{2}[/tex]
In this case, the first term of (2x - 12)² is "2x" and the second term is "12".
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}[/tex]
Now, simplify the expression.
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}[/tex]
[tex]\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)[/tex]
[tex]\rightarrowtail \boxed{4x^{2} - 48x + 144}[/tex]
Zahra plans to draw a triangle with angles measuring 50 degrees, 60 degrees, and 70 degrees. Which is true about Zahra’s plan?
Zahra cannot make a triangle with these angle measures.
Zahra can only draw one unique triangle with these angle measures.
Zahra can make exactly two triangles with these angle measures.
Zahra can make more than one triangle with these angle measures.
Answer:
Zahra cannot make a triangle with these angle measures.
Step-by-step explanation:
The function f(x) = x2 6x 3 is transformed such that g(x) = f(x − 2). find the vertex of g(x). (−1, −8) (−3, −4) (−1, −6) (−5, −6)
Answer: (-1,-6)
Step-by-step explanation:
x^2+6x+3
g(x) = f(x-2)
replace all value of x in the f(x) function to (x-2)
(x-2)^2 + 6(x-2) + 34
(x-2)(x-2) + 6(x-2) + 34
expand through FOIL and distribution
x^2-4x+4+6x-12+3
combine like terms
x^2+2x-5
-b/2a = x value of vertex
-2/2(1) = x value
x value = -1
plug in -1 for all values of x in the g(x) equation to solve for y value
(-1)^2+2(-1)-5
1-2-5 = -6
y = -6
x = -1
(x,y) = (-1,-6)
The vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
How to convert the given equation to vertex form?We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.
So, we're given that:
[tex]f(x) = x^2 + 6x + 3[/tex][tex]g(x) = f(x-2)[/tex]Thus, we get:
[tex]g(x) = f(x-2) \\g(x) = (x-2)^2 + 6(x-2) + 3 \\g(x) = x^2 -4x + 4 + 6x - 12+3\\ g(x) = x^2 + 2x -5[/tex]
Converting g(x) to vertex form:
[tex]g(x) = x^2 + 2x - 5\\g(x) = x^2 + 2x + 1 - 1 -5\\g(x) = (x+1)^2 -9\\g(x) = (x - (-1) )^2 -6\\g(x) = (x-(-1))^2 + (-6)[/tex]
Comparing this with [tex]a(x-h)^2 + k[/tex], we get (h,k) = (-1,-6) as the coordinate of the vertex of the graph of g(x), as shown below.
Thus, the vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)
Learn more about vertex form of a quadratic equation here:
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pls help me with this i will make you brainiest
1. - 3p^3 + 7p^2 - 3
2. 5a^3 - 5a^2
3. 6 + 7n^3
4. - 6n^3
5. a^2 + 2r^4
6. 9r^3 + 2r^4
7. 1
8. 6x^4 - 6x
9. - 7k^4 - 11k^2 + 6
10. 2n^5 - 2n^4 + 3n + 3
11. 14a^5 + 14a^4 - 10a^3 - 16a
12. - 14n^4 - 7n^2 + 8n + 7
13. 18x^5 + 6x^4 + 12x^3
14. 7r^3 - 3r^2 + 20r
15. 8n - 8n^4
16. - 2x^5 + 10x^4 + 5x + 14
17. 4x^5 - 15x^3 - 11x - 1
18. 5a^5 + 23a^2 - 11a
19. 15v^5 + 4v^3 - 24v^2
20. 2b^4 + 15b^3 - 3
Please Help there are 3 questions.
Answer:
1) There are 15 in it, which means we need to find the 8th. The 8th is 6, which means the median is 6. We then need to find the other quartiles.
8/2=4, which means we need to look at the 4th,5th and 12th,13th.
The first one is FIVE, and the second is SEVEN. Therefore, the FIRST ONE.
2)113
3)37
The length, breadth and height of a rectangular room are in the ratio of 3:2:1. If the room contains 3072 cubic meter of air, find the length, breadth and height of the room.
Answer:
length: 24 mbreadth: 16 mheight: 8 mStep-by-step explanation:
Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...
V = LBH
V = (3k)(2k)(k) = 6k³
3072 m³ = 6k³ . . . . . use known volume
512 m³ = k³ . . . . . . . divide by 6
8 m = k . . . . . . . . . take the cube root
The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
Length, breadth, and height in the ratio 3 : 2 : 1Room contains 3072 cubic meter of air [refers to volume]Solving :
Let the length, breadth, and height be 3x, 2x, and x respectivelyMultiply them and equate to the volume(3x)(2x)(x) = 30726x³ = 3072x³ = 512x = 8Solution :
Length = 3x = 24 mBreadth = 2x = 12 mHeight = x = 8 mYou are curious about the amount of coffee that the giant fountain cup could
actually hold.
The dimensions of the fountain cup are as follows:
• Height is 8 feet.
• Diameter of the top is 6 feet.
• Diameter of the base is 4 feet.
Use this formula with height, h, radius of the base, base, and radius of the
top, "top, to determine the volume of the cup:
V =
(an) ((base)? + (Pbase) (Ftop) + (rtop) 3).
There are 7. 5 gallons of liquid per cubic foot.
Enter the volume, in gallons, of the fountain cup.
Assuming there are 7. 5 gallons of liquid per cubic foot. The volume of the cup is: 1,193.8 gallons.
Volume of the cupUsing this formula
V =πh/3 [(r base)²+ ( r base) (r top) + (r top) ²]
Where:
height of cup (h)= 8 feet
radius of base of cup (r base)= 4 feet/2=2 feet
radius of top of cup (r top)= 6 feet/2=3 feet
Let plug in the formula
V =πh/3 [(8)²+ (2) (3) + (3) ²]
V =πh/3×8×19
V=152 π/3
Hence:
Volume of the cup in gallons=152 π/3 ×7.5
Volume of the cup in gallons=477.52208334564/3×7.5
Volume of the cup in gallons=1,193.8gallons
Therefore the volume of the cup is: 1,193.8 gallons.
Learn more about volume here:https://brainly.com/question/23648151
identify the equation of the graph.
2x+3y=6
2x-3y=6
2x-3y=-6
2x+3y=-6
PLEASE HELPPP!!!!
1. ) The points (-2, 6), (-1, 3), (0, 2), and (1, 3) are on the graph of my function. What is the equation?
2. ) My parabola intersects the x-axis at points (-2, 0) and (2, 0) and the y-axis at point (0, -4). What is the equation?
3.) The table of values below describe the relationship for my function.
x values: -2, -1, 0 , 1
y values: 4, 1, 0, 1
What is the equation?
4.) To find my equation, shift f(x) = x2 + 5 left 3.
What is the equation?
Answer:
1) [tex]y=x^2+2[/tex]
2) [tex]y=x^2-4[/tex]
3) [tex]y=x^2[/tex]
4) [tex]y=x^2+6x+14[/tex]
Step-by-step explanation:
Question 1
Given points: (-2, 6) (-1, 3) (0, 2) (1, 3)
This is likely to be a quadratic equation with a vertex of (0, 2) since the points (-1, 3) and (1, 3) are symmetrical about x = 0
Vertex form of quadratic equation: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
[tex]\implies y=a(x-0)^2+2[/tex]
[tex]\implies y=ax^2+2[/tex]
To find a, input one of the points into the equation:
[tex](1, 3)\implies a(1)^2+2=3\implies a=1[/tex]
Therefore, the equation of the graph is [tex]y=x^2+2[/tex]
Question 2
If the parabola intersects the x-axis at (-2, 0) and (2, 0) then
[tex]y=a(x+2)(x-2)[/tex]
We are told that the y-intercepts if (0, -4). Input this into the equation to find a:
[tex]\implies a(0+2)(0-2)=-4[/tex]
[tex]\implies -4a=-4[/tex]
[tex]\implies a=1[/tex]
Therefore,
[tex]\implies y=(x+2)(x-2)[/tex]
[tex]\implies y=x^2-4[/tex]
Question 3
Given points: (-2, 4) (-1, 1) (0, 0) (1, 1)
This is likely to be a quadratic equation with a vertex of (0, 0) since the points (-1, 1) and (1, 1) are symmetrical about x = 0
Vertex form of quadratic equation: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
[tex]\implies y=a(x-0)^2+0[/tex]
[tex]\implies y=ax^2[/tex]
To find a, input one of the points into the equation:
[tex](-2,4)\implies a(-2)^2=4\implies a=1[/tex]
Therefore, the equation of the graph is [tex]y=x^2[/tex]
Question 4
[tex]f(x) = x^2 + 5[/tex]
If we wish to move the function to the left by 3 units, we substitute x for [tex]x+3[/tex]:
[tex]\begin{aligned}\implies f(x+3) & =(x+3)^2+5\\ & = x^2+6x+9+5\\ & = x^2+6x+14\end{aligned}[/tex]
[tex]\implies y=(x+3)^2+5[/tex]
What's 19 to the power of 63? Brain fart-
Answer:
2.5782963e+29
Step-by-step explanation:
basically 19 times itself 63 times
Answer:
19^63 , 3.6431483821774E+80
Step-by-step explanation:
find the surface area of a cube with a side length of 1/9
To find the surface area, we must define what is the surface area
Definition of Surface Area: is all the areas of the sides of the 3D shapes added upIn this case, we have a cube
⇒ which means all the sides have equal areas since all the side lengths
are equal
That means the surface area
⇒ is equal to ⇒ 6 * (Area of One Side)
'6' comes from the # of sides on a cube
Surface Area = [tex]6 *\frac{1}{9} *\frac{1}{9} = \frac{6}{9 *9} =\frac{2*3}{3*3*3*3} =[/tex] 2/27
Hoped that helped!