860.55 mm
Explanation:
The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):
S= 6*b*(a+h)
where b = is the side of the base, a is the apothem length, and h = the height
S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm
Could have also have used another formula without the apothem:
S =3 * √3 * b² + 6 * b * h
S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55 + 528 = 860.55 sq mm
Solve the equation for the y–value and choose whether it is a direct variation or inverse variation
-4x + y = 0
Answer: Choice C
y = 4x
Direct variation
=====================================================
Explanation:
We add 4x to both sides to isolate y. That leads to y = 4x
This is a direct variation equation because it's in the form y = kx, for some constant k.
Calculate the area of the shaded part to 1dp
Answer:
To find the area of the shaded region
A = Area of circle - Area of square
12cm is the diagonal of the square and diameter of the circle.
To find the side of the square,
d = √2 * s
12cm = √2 * s
s = 8.49cm
Area of square = L²
As = (8.49)²
As = 72.1cm²
Area of circle = πr²
r = 6cm
Ac = (π*36)cm²
Ac = 113.1cm²
A = Ac - As
A = 113.1cm² - 72.1cm²
A = 41cm²
The area of the shaded region is 41cm².
Answer: I can't tell from the photo which is the shaded part. I'll answer on the assumption it is either the square in the circle, or the 4 areas defined by the semicircles outside the square, but inside the circle.
Step-by-step explanation: Note the caveat above.
Circle Area = pi*r^2 or (3.14)*(6cm)^2 = 113.1 cm^2
Area of the square: The 12cm line forms an hypotenuse with either side. The sides are all equal, so if x is 1 side, we can say the area is x^2. We also know tha x^2 + x^2 = 12
x^2 = 6 cm^2 (the area of the square)
The two possible answers:
1) Shaded portion is the square: 6 cm^2
2) Shaded area means the 4 semicircles outside the square but within the circle: 113.1 cm^2 - 6 cm^2 = 107.1 cm^2
Express the ratio of 300 miles to 25 gallons of gasoline as a untie rate
Answers:
12 miles per gallon
1.2 miles per gallon
50 miles per gallon
32 miles per gallon
Answer:
12 miles per gallon (answer A)
Step-by-step explanation:
300:25
Divide each side by 25:
12:1
12 is your answer
Hope that helps
Identify the figure that illustrates "a reflection in line k."
Max is conducting a study on the most used phone applications among a group of 500 students at Fairmont High School. 150 students reported using Snapshot most, while 200 students reported favoring Instapic. The rest of the students reported using Photobooth. What is the ratio of the number of students using Photobooth to those students using Instapic?
Answer:200:150
Step-by-step explanation:
Answer: 3:4
Step-by-step explanation:
Choice B is the correct answer. The number of students using Photobooth is equal to
500 - (150+200) = 150
people. To find the ratio of students using Photobooth to those using Instapic:
150/200 = 3/4
This fraction can be converted to a ratio, of 3:4
The function f(x)= 3x + x2 + 2x rises as x grows very small. As x goes to negative
infinity, f(x) goes to infinity.
True
False
Answer:
.
Step-by-step explanation:
3x + x^2 + 2x
= x^2 + 5x
As x goes to negative infinity,
x^2 is always positive and will be higher than 5x as x increases so
f(x) goes to infinity
Pls help me with this question!!!
Answer: $2/child and $4/adult
Step-by-step explanation:
The total fare is $14 for 2 adults and 3 children
x is the child's fare
y is the adults fare
We can say:
1) 3x + 2y = $14
2) We are told that x = (1/2)y [each child's fare is 1/2 each adult's fare]
3) use (2) in (1)
3x + 2y = $14
3(1/2)y + 2y = $14
(3/2)y + 2y = $14
(7/2)y = $14
y = ($14)*(2/7)
y = $4/adult
x = (1/2)y; x = (1/2)(4)
x = $2/child
Check: Does 3x + 2y = $14 when x = $2/child and y = $4/adult?
3x + 2y = $14
3($2/child) + 2($4/adult) = $14
$6 + $8 = $14 YES
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Combine like terms. What is a simpler form of the expression?
−3(−4y+3)+7y
help pls
Answer:
19y - 9
Step-by-step explanation:
- 3(- 4y + 3) + 7y ← multiply each term in the parenthesis by - 3
= 12y - 9 + 7y ← collect like terms
= 19y - 9
8 T and 733 lbs = ? lb
HELP ME PLEASEEEEE
Answer:
16,733 lbs
Step-by-step explanation:
1 ton= 2,000 lbs. Hope this helps!
PLEASE HELPPPPPPPPPPPP!
Answer:
10
Step-by-step explanation:
[tex]2^{2} +10^{2} =c^{2}[/tex]
4+100=[tex]c^{2}[/tex]
c=[tex]\sqrt{104}[/tex]
c=10.198
Round to nearest thousandth
c=10
Hope this helps :)
Comment if you need more help :) :)
Show that 0.616 = 37/60
Answer:
77/125 = 37/60?
If this is a true or false problem it would be marked false.
What is the difference between 4 and -5?
Answer:
l-5l+l4l=9
l . l means total value from zero.
A local school is conducting a fundraiser. The relationship between the number of raffle tickets sold, X, and the total amount of money raised in dollars, Y, is shown in this table.
X Y
5 $25
15 $75
25 $125
100 ?
How much money is raised when 100 tickets are sold?
$175
$175
$225
$225
$400
$400
$500
Which of the following is an example of a set of like terms? *
17y, 17, y
15x, -x, 33x
18, 21g, 24
-5x, -5xy, -5y
You add a number to (–3) and the sum is negative. List four possible numbers you
might have added and four you could not have added.
Answer:
Four possible numbers
-4
-32
-2
-10
Four numbers that are not possible
100
120
20
10
Step-by-step explanation:
I choose the 4 possible numbers because if you add a negative to a negative, the answer will always be a negative. However if you added a positive like 100 to -3, the answer wouldn't be negative so that's why I chose those numbers.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Please solve.. I will mark you brainliest
Step-by-step explanation:
6y=3y+6(congruent triangles)
6y-3y=6
3y = 6
y=2
ST =6(2) =12
TU = 3(2) + 6 =12
Find the value of x in the triangle shown below.
a)=5
b)x=\/7
c)x = 7
d)x = 25
A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases than bottles paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?
Answer:
She is buying 7 bottles and 15 canvases of paint
Step-by-step explanation:
Answer:
7 bottles of paint and 15 canvases
Step-by-step explanation:
I'm letting x stand for the number of bottles of paint and y stand for the number of canvases
1.29x+1.89y=37.38
and y=x+8
Since the y value is isolated I can just substitute the right side of the y= equation into the original like so
1.29x+1.89(x+8)=37.38
I then distributed the 1.89 to each of the terms in the parentheses
1.29x+1.89x+15.12=37.38
I then combined like terms to get
3.18x+15.12=37.38
Then you subtract 15.12 from both sides to get
3.18x=22.26
and last we divide both sides by 3.18 to get
x=7
Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get
y=7+8
y=15
Don't forget the labels you gave each variable earlier in the problem when answering!
create a bar diagram to show 3 plus 5
Answer:
Can't answer
Step-by-step explanation:
I need more information to help you...
Could you please add a pic or screenshot for me to help?
Isabella and her brother, Santiago, want to make their grandma's famous fruit salad, but they can't remember how to make the honey-lime dressing. They decide to make two versions with different amounts of sweet honey and tangy lime, then compare them. Isabella mixes 4 tablespoons of honey and 2 tablespoons of lime juice. Santiago mixes 5 tablespoons of honey and 4 tablespoons of lime juice. Whose dressing is sweeter?
Answer:
Isabella
Step-by-step explanation:
4:2, is Isabella's ratio of honey:lime.
5:4, is Santiagio's ratio of honey:lime.
Therefore, Isabella has 6 equal parts over all and 4/6 of those parts are honey.
Santiago, has 9 equal parts, so he has 5/9 parts of honey.
Next is to make the denominators the same:
That would make the denominators 54 and then you just multiply the opposite denominator to the numerator:
5/9=36/54
4/6=30/54.
This means that Isabella's dressing is sweeter.
40 Points! I'm counting on you TT
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Let's find the slope of the line using the points (0 , 4) and (-8 , 0) from the given graph :
Slope (m) :
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{4 - 0}{0 - ( - 8)} [/tex][tex] \dfrac{4}{8} [/tex][tex] \dfrac{1}{2} [/tex]hence, the correct choice is C
1/4÷3/8 i need helpp tyy
8/12 is your answer hope i could help
Plssssssssssssssssssssssss
Answer:
16/5[tex]\sqrt{5\\}[/tex] 6/7-3Answer:
Greatest:
16/5
/5
-3
6/7
I think, I am no t sure
Using the slope formula, find the slope of the line through the given points.
(1,6) and (3,4)
(2,4) is perpendicular to y:2x
Answer:
is a Step-by-step explanation:
combination
A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:
2
+
2
=
4
.equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
ordered pair
Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates
(
x
,
y
)
, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.
solution
1. The value of a variable that makes an equation true.
2. In chemistry, a solution is a homogeneous mixture composed of only one phase.
A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds?
Rates of change are the change of a quantity over another.
The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
The given parameters are:
[tex]\mathbf{A = |5|}[/tex] -- the amplitude
[tex]\mathbf{T = \frac 13}[/tex] --- the period
The position of the mass is modeled by:
[tex]\mathbf{y= Acos(wt)}[/tex]
Where:
[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]
So, we have:
[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]
[tex]\mathbf{w = 6\pi }[/tex]
[tex]\mathbf{y= Acos(wt)}[/tex] becomes
[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]
[tex]\mathbf{y = 5cos(6\pi t)}[/tex]
Differentiate
[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]
[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]
When t = 2.1, we have:
[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]
[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]
[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]
[tex]\mathbf{y' = -89.6296}[/tex]
Approximate
[tex]\mathbf{y' = -89.6}[/tex]
Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
Read more about rates at:
https://brainly.com/question/15579510
Giving right answer branleist
For every 10 tickets to a horror movie that a popular movie theater sells, they sell 9 tickets to a comedy movie. If they sold 5 more horror movie tickets in one night, how many tickets to both movies did they sell altogether?
When would the tail of a comet appear to become longer?(1 point)
as it gets farther from Earth
as it gets closer to Earth
as it gets closer to the sun
as it gets farther from the sun
Answer:
As it gets closer to the sun
Step-by-step explanation:
just trust me
The tail of comet will appear to become longer : (c) as it gets closer to sun.
The tail of a comet becomes longer and more pronounced as it gets closer to sun. Comets are made up of ice, dust, and volatile gases. As a comet approaches the sun, the sun's heat causes the ices within the comet to vaporize, creating a glowing coma (a cloud of gas and dust) around the nucleus.
The solar wind and radiation pressure then push the gas and dust particles away from the coma, forming the tail that points away from the sun due to the solar wind's influence. This tail becomes more visible and elongated as the comet gets closer to the sun, making it a sight in night sky.
Therefore, the correct option is (c).
Learn more about Comet here
https://brainly.com/question/29913698
#SPJ3
The given question is incomplete, the complete question is
When would the tail of a comet appear to become longer?
(a) as it gets farther from Earth
(b) as it gets closer to Earth
(c) as it gets closer to the sun
(d) as it gets farther from the sun
PLEASE HELP ME!!!
I need this ASAP please
8 and 6
20:8 and x:6
ask urself: what is the scale factor?
[tex]20:8 = \frac{20}{8} = 2.5\\so, multiply 6 by 2.5, which is 15\\therefore, x = 15[/tex]