Answer:
[tex]x = 6.99in[/tex]
Step-by-step explanation:
Given
[tex]l =2in[/tex]
[tex]Volume = 72.66in^3[/tex]
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
[tex]Base\ Area= \frac{3\sqrt 3}{2}l^2[/tex]
This gives:
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 2^2[/tex]
[tex]Base\ Area= \frac{3\sqrt 3}{2} * 4[/tex]
[tex]Base\ Area= 3\sqrt 3 * 2[/tex]
[tex]Base\ Area= 6\sqrt 3[/tex]
Side x represents the height.
So, we have:
[tex]Volume = Base\ Area*x[/tex]
Make x the subject
[tex]x = \frac{Volume }{ Base\ Area}[/tex]
[tex]x = \frac{72.66in^3}{6\sqrt 3 in^2}[/tex]
[tex]x = \frac{72.66}{6\sqrt 3}in[/tex]
[tex]x = \frac{12.11}{\sqrt 3}in[/tex]
[tex]x = 6.99in[/tex] --- approximated
Instructions: Find the equation of the line through point (3, 4) and perpendicular to y = –2x – 4
Answer:
y=1/2x+5/2
Step-by-step explanation:
y=ax+b
vuông góc với y = –2x - 4 ⇒a.(-2) =-1⇒a=1/2
phương trình của đường thẳng đi qua điểm (3, 4) ⇒4=3.1/2+b⇒b=5/2
⇒y=1/2x+5/2
Does anyone know the answer to this?
Answer:
3
Step-by-step explanation:
Answer:
The answer is number 2
Step-by-step explanation:
Since the price of a quarter is 25 cents we put the .25 it next to the Q and since dimes are worth 10 cents we put the .10 next to the D. D + Q should equal 30 since that is the total number of coins and the other should equal 4.80
Can someone please help me get surface area and lateral surface area
Answer:
Step-by-step explanation:
suface area of base=1/2×9×7.8=9×3.9=35.1 yd²
lateral surface area=3×1/2×9×10=135 yd²
total surface area=135+35.1=170.1 yd²
i assumed it is an equilateral triangular base.
as √(7.8²+4.5²)=9.0049≈9
Mike needs to replace the carpet in his living room. The carpet he likes costs $7.50 per square foot to purchase and install. His living room measures 263.5 square feet. How much will it cost to replace the carpet?
Answer:
$1,976.25
Step-by-step explanation:
Since one square foot cost $ 7.50 we simply multiply that by 263.5.
263.5 × 7.50= $1,976.25
I don’t understand help
You can see that the MNO triangle is similar to MKL then [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex] [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]
Joanne is playing a game with her friends. She is
not doing very well. Currently Joanne is in debt 420
points. On her next turn she loses another 30
points. What is Joanne's score now?
Answer:
390 points
Step-by-step explanation:
Previous points = 420 pointsPoints she lost = 30 points⇒ New score = (420 - 30) points
⇒ New score = 390 points
Joanne's score is now 390 points.
The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.
Answer:
C. Salaried pay. Salaried employees make more per week than hourly employees.
Step-by-step explanation:
edge 2021
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Given:
The image of a lens crosses the x-axis at –2 and 3.
The point (–1, 2) is also on the parabola.
To find:
The equation that can be used to model the image of the lens.
Solution:
If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.
It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.
So, the equation of the parabola is:
[tex]y=k(x+2)(x-3)[/tex] ...(i)
Where, k is a constant.
It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).
Putting [tex]x=-1, y=2[/tex] in (i), we get
[tex]2=k(-1+2)(-1-3)[/tex]
[tex]2=k(1)(-4)[/tex]
[tex]2=-4k[/tex]
Divide both sides by -4.
[tex]\dfrac{2}{-4}=k[/tex]
[tex]-\dfrac{1}{2}=k[/tex]
Putting [tex]k=-\dfrac{1}{2}[/tex] in (i), we get
[tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex]
Therefore, the required equation of the parabola is [tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex].
Note: All options are incorrect.
Ranking brainliest if correct :)) thanksss
Answer:
Y=40 X=75
Step-by-step explanation:
i think im not 100% on that, been a long time since i did stuff with triangles
Answer:
gdjksbdifkfnfuwiaksujdbf
Please help me, Please
Answer:
7th graders in the school
Step-by-step explanation:
if she wants to know what 7th graders like, ask 7th graders since no one els would know as good as 7th graders themselves
Answer:
A.7th graders in the school
Step-by-step explanation:
Because she specifically wants to find the favorite activity of 7th grade students she should sample only 7th grade students to get the best and most accurate results.
PLS HELP! I WILL GIVE BRAINLIEST!! AND THE REST OF MY POINTS!
Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
(2.75 x 10⁵ ) / (2.25 x 10² )
= (2.75 / 2.25) x 10⁵⁻²
= 1.2 x 10³ times .
(That's 1,200 times as many.)
I hope this helps!
Answer:
1221.2 times more
Step-by-step explanation:
number of bacteria last week = [tex]2.25*10^2[/tex]
= [tex]2.25*100[/tex]
= [tex]225[/tex]
number of bacteria this week = [tex]2.75*10^5[/tex]
= [tex]2.75*100000[/tex]
= [tex]275000[/tex]
[tex]275000 - 225 = 274775[/tex]
[tex]274775 / 225 = 1221.2[/tex]
What is the amount of the average rate of change?
Maria needs to be at the airport terminal at 15:20. It will take
2 1/3
hours to drive to the airport from her home, and a further 30 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answer:
12:30
Step-by-step explanation:
The graph represents the piecewise function:
100 POINTS !!!
HELP ASAP PLS I NEED HELP
Answer:
B
Step-by-step explanation:
r^2 is 0.9997, and after 10 years it'll be 95660
what is the measure of angle 3? Sorryyyy the question got cut off
Answer:
142
Step-by-step explanation:
angle <3 is supplementary to 5x + 3
5x + 3 + 21x - 5 = 180 (because two angles are supplementary as well)
26x - 2 = 180 add 2 to both sides
26x = 182 divide both sides by 26
x = 7
<3 + 5x + 3 = 180 replace x with 7 and rewrite equation
<3 + 38 = 180 subtract 38 from both sides
<3 = 142
PLEASE PLEASE PLEASE HELP ME WITH THIS ASAP
You can transform ⨀V to ⨀V' by translating it and then performing a dilation centered at V'. Find the translation rule and the scale factor of the dilation.
You can transform ⨀V to ⨀V' by translating it and then performing a dilation centered at V'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Translation: (x,y)↦ ( _____, _____)
Scale factor: ______
Answer:
scale factor: 2
translation: (x+2, y+7)
Step-by-step explanation:
simplify :
26-10/2x5+3
Answer:
16/13 is the answer.
26-10 is 16 and 2x5+3 is 13
Answer:
4
Step-by-step explanation:
26 - 25 + 3
In one city, 24% of adult smoke. In groups of size 130 of adults , what is the variance of the number that smoke ?
Answer:
[tex]X=24[/tex]
Step-by-step explanation:
From the question we are told that:
Probability of having a smoker [tex]P(s)=0.24[/tex]
Sample size [tex]n=130[/tex]
Generally the equation for Variance X is mathematically given by
[tex]X= np(1-p) =[/tex]
[tex]X= (130)(0.24)(1-0.24)[/tex]
[tex]X = 23.712[/tex]
[tex]X=24[/tex]
What Did You Understand In The Picture
PLZ HURYY
THANK YOUU
y = -19
I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other
Thank you to whoever helps :)
(-5, -1)
Hope this helps! :)
What is the value of f(3) in the function below?
F(x) = 2^x
A. 8
B. 4
C. 16
D. 6
Answer:
A. 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2ˣ
Step 2: Evaluate
Substitute in x [Function f(x)]: f(3) = 2³Evaluate: f(3) = 8Answer:
it's 8
Reason:
substitute x=3 into the function....it'd be 2³, which is 8
I Need help with thistle...
Answer:
Anthony
Step-by-step explanation:
Mehod I - Common denominator
Use common denominator of 5 * 8 = 40
Cody
3/5 = 24/40
Anthony
5/8 = 25/40
-----------------------------
Method II - convert to decimal
Cody
3/5 = 0.6
Anthony
5/8 = 0.625
------------------------
Either way
Anthony read a greater fraction
what is the slope of this line? y=-3x+1
Answer:
The slope is -3, also written as -3/1.
Answer:
-3
Step-by-step explanation:
it is simply the (m) in y = mx + b
m is the slope
and b is the y intercept
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is all numbers that equal to 4 in Multiplication
Answer:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …
Please answer it all this is very important
Answer:
6.)
The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.
7.)
This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)
8.)
We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean
the mean of student A is: (68+72+73+67)/4= 70
The mean of student B is: (74+73+73+74)/4=73.5
We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise
The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96
Answer:
(c) 84
hope this helps!!!!
what is the answer to -2/3x + 9 = 4/3x - 3?
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{-2}{3}x+9=\frac{4}{3} x-3[/tex]
-2x = -12
x = 6
Answer:
x = 6
Step-by-step explanation:
Just need some help please
Answer:
It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.