Answer:
D.
Step-by-step explanation:
area of a square = side^2
area of a cube = 6 x side^2
let the side be a .
6a^2 = 600
=> a^2 = 600/6
=> a^2 = 100
Hence the area of one of its faces is 100 square inches.
or in plain terms without using those formulas,
6 faces of the cube have 600 square inches
=> 1 face of the cube has 600/6 = 100 square inches
Sophie is making a rectangular pen for her rabbit. The pen is 4 feet wide and 6 feet long. What is the area of the pen?
Answer:
The area of the pen would be 24 feet.
Step-by-step explanation:
6 multiplied by 4 is 24.
Answer:
24 feet squared
Step-by-step explanation:
the area of a rectangle = l x w
length = 6
width = 4
therefore, 4x6=24
Give the explicit form
Answer:
[tex]a_{n}[/tex] = 100n - 112
Step-by-step explanation:
Given the recursive formula
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 100 with a₁ = - 12
This tells us that any term is found by adding 100 to the previous term
That is common difference d = 100 and a₁ = - 12
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d , thus
[tex]a_{n}[/tex] = - 12 + 100(n - 1) = - 12 + 100n - 100 = 100n - 112
Answer:
100 = 100n - 112
Step-by-step explanation:
i need help this is due in 20 minutes!!!!!! PLZ!!!!!
Answer:if the answer your looking for is the area, then it’s 16.15
Step-by-step explanation:
Luke is going to reflect point R(6, 10) over the y-axis. What are the coordinates for R'?
Answer: (-6,10)
Step-by-step explanation:
Since you are reflecting over the y-axis, the x value becomes the negative
The coordinates for R' the reflected point are (-6,10).
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Thus, if you're reflecting a point (x,y) along x axis, then its
f=x
abscissa will stay same but
f=y
ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
We are given that;
The point R(6, 10)
Now,
When reflecting a point over the y-axis, we simply negate the x-coordinate while keeping the y-coordinate the same.
So, to reflect point R(6,10) over the y-axis, we flip its x-coordinate to get R'(-6,10).
Therefore, by reflection answer will be (-6,10).
Learn more about reflection here;
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A package of 12 pencils costs
$2.04. Based on the cost of this
package, what is the cost of 1 pencil?
Answer:
$0.17
Step-by-step explanation:
2.04/12=0.17
Please mark as Brainliest! :)
Have a nice day.
Answer: 0.17 for 1 pencil
Step-by-step explanation:
Attached the work.
Which of the following is true
Answer:
I think its I,II,III
because first r+q = 90 as we'll as z= 90
second s and z are vertically opposite angles and so are equal
third x+s+r= 180 degrees because they are on a straight line
find the value of x
thank you in advance for your help!
Answer:
52
Step-by-step explanation:
Answer:
x= 12
Step-by-step explanation:
Please see attached picture for full solution.
Feel free to ask if you have any queries :)
what is the measure of angle a in degrees?
180
130
65
260
Angle a = 1/2 of the given central angle.
Angle a = 130/2= 65
The answer is 65
Write a quadratic function whose zeros ƒ are -4 and -5 .
Answer:
Step-by-step explanation:
Zeros mean basically the values of x which make y = 0.
(x + 4)(x - 1) = y
x^2 + 3x - 4 would be a quadratic function whose zeros are -4 and 1
Given: m∠3=x, m∠8=5x Find: m∠3, m∠8
Answer: m∠3 = 30° and m∠8= 150° .
Step-by-step explanation:
From the given figure it can be seen that a and b are two parallel lines, where t is transversal intersecting them.
Also, m∠3=x, m∠8=5x
To find : m∠3, m∠8
Since ∠3=∠5 [Interior alternate angles]
So, m∠5 =m∠3= x
Also, ∠5+∠8=180° [Linear pair]
⇒ x + 5x = 180° [Substituted the value of ∠5 and ∠8 in terms of x ]
⇒ 6x = 180°
⇒ x = 30° [Divide both sides by 6]
That means,
m∠3 = 30°
and m∠8= 5(30° ) = 150°
Hence, m∠3 = 30° and m∠8= 150° .
Suppose a sector of a circle with radius r has a central angle of θ. Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the BLANK to the measure of a full rotation of the circle. A full rotation of a circle is 2π radians. This proportion can be written as Aπr2=BLANK. Multiply both sides by πr2 and simplify to get BLANK, where θ is the measure of the central angle of the sector and r is the radius of the circle.
Answer:
Central angle of θ
[tex]\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}[/tex]
[tex]A=\dfrac{\theta r^2}{2}, (\theta$ in radians)[/tex]
Step-by-step explanation:
Suppose a sector of a circle with radius r has a central angle of θ.
Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the central angle of θ to the measure of a full rotation of the circle.
A full rotation of a circle is 2π radians.
This proportion can be written as: [tex]\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}[/tex]
Multiply both sides by [tex]\pi r^2[/tex]
[tex]\dfrac{A}{\pi r^2} *\pi r^2=\dfrac{\theta}{2\pi}*\pi r^2[/tex]
Simplify to get:
[tex]A=\dfrac{\theta r^2}{2}[/tex]
Where θ is the measure of the central angle of the sector and r is the radius of the circle.
Answer:
Suppose a sector of a circle with radius r has a central angle of θ. Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the CENTRAL ANGLE to the measure of a full rotation of the circle. A full rotation of a circle is 2π radians. This proportion can be written as A/πr^2 =θ2π. Multiply both sides by πr2 and simplify to get A= θ/2 r^2 , where θ is the measure of the central angle of the sector and r is the radius of the circle.
Step-by-step explanation:
i hope this helps a bit
The population of two different villages is modeled by the equations shown
Suppose y represents the population and x represents the number of years
since 1980. What year(s) were the populations of both villages the same?
What was the population of both villages in the year(s) they were the same
Montville: y = x2 – 30x + 540
Havertown: y = 20x + 15
Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
[tex]y=x^2-30x+540[/tex]
[tex]y=20x+15[/tex]
The population of both villages are same after x years after 1980 if
[tex]x^2-30x+540=20x+15[/tex]
[tex]x^2-30x+540-20x-15=0[/tex]
[tex]x^2-50x+525=0[/tex]
Splitting the middle term, we get
[tex]x^2-15x-35x+525=0[/tex]
[tex]x(x-15)-35(x-15)=0[/tex]
[tex](x-15)(x-35)=0[/tex]
[tex]x=15,35[/tex]
It means, after 15 or 35 years, the population will same.
For x=15, years is [tex]1980+15=1995[/tex] and population is
[tex]y=20(15)+15=315[/tex]
For x=35, years is [tex]1980+35=2015[/tex] and population is
[tex]y=20(35)+15=715[/tex].
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.
Year = 1995 and population = 315
Year = 2015 and population = 715
Calculation:The equation is
[tex]y = x^2 - 30x + 540\\\\y = 20x + 15[/tex]
Now
[tex]x^2 - 30x + 540 = 20x + 15\\x^2 - 30x + 540 - 20x - 15=0\\\\x^2 - 50x + 525 = 0\\\\x^2 - 35x - 15x + 525=0\\\\x(x - 15) -35(x-15) = 0\\\\(x-15) (x-35) = 0[/tex]
x = 15,35
so,
When x is 15 , the population is = 20(15 ) +15 = 300 + 15 = 315
And, x is 35 , the population is = 20(35 ) +15 = 700 + 15 = 715
Learn more about the population here: https://brainly.com/question/905400?referrer=searchResults
Ellen saved $2000 and she spent 10% of it to buy a bike. Kim saved 8% more than that of Ellen's left savings. If Lisa saved 60% as much as Kim, how much money did Lisa save?
Answer: Lis saved $1166.4 .
Step-by-step explanation:
Given , Ellen saved $2000 and she spent 10% of it to buy a bike.
Then, Ellen's left saving = saved amount - 10% of (saved amount)
= $2000 - 0.10 x $2000 [We convert perecntage to decimal by diving it by 100]
= $2000 - $200
= $1800
So, Ellen's left saving= $1800
Also, Kim saved 8% more than that of Ellen's left savings.
Kim's Saving = Ellen's left saving + 8% of (Ellen's left saving)
= $1800 + (0.08) x ($1800) [We convert perecntage to decimal by diving it by 100]
= $1800 + $144
i.e. Kim's Saving= $1944
If Lisa saved 60% as much as Kim, then Lisa's saving = 60% of (Kim's Saving)
= (0.60) x ($1944) [We convert perecntage to decimal by diving it by 100]
i.e. Lisa's saving = $1166.4
Answer:
1166.40
Step-by-step explanation:
i got it right on my test.
Reflect the triangle in the mirror line
Answer:
image attached
Step-by-step explanation:
see attached
Please help and give correct answer
If AB=3 cm, AC=5 cm, CD=3 cm, and CE=5 cm, what additional information is needed to prove △ABC≅△DEF?
BC=3 cm and AB=3 cm
BC=4 cm and DE=4 cm
BC=5 cm and CE=5 cm
DE=3 cm and CD=3 cm
Answer:
The correct option is;
BC = 4 cm and DE = 4 cm
Step-by-step explanation:
The given sides parameters are;
In ΔABC
AB = 3 cm
AC = 5 cm
In ΔDEF
CD = 3 cm
CE = 5 cm
We note that the point F on ΔDEF is the same as point C on ΔABC
For the two triangles to be congruent, the third side must be equal hence e have;
Where ∠B = ∠D = 90°
Hence, AC² = AB² + BC²
∴ BC = √(5² - 3²) = 4
Similarly,
CE² = CD² + DE²
∴ DE = √(5² - 3²) = 4
Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.
WILL MARK BRAINLIEST WHOEVER GETS IT RIGHT!
How do I solve number 12?
Find the volume of the pyramid. Write your answer as a fraction or mixed number.
Answer:
1.33 or 133/100
Step-by-step explanation:
formula=area of base x height x 1/3
A=2 x 2 x 1/3 or
A=2 x 2 / 3
A=4 / 3
A=1.33 or 133/100
Answer:
The answer is 4/3 ft^3
Step-by-step explanation:
The formula to find a pyramid is length times width times height divided by 3
The scatter plot shows the number of pigs and cows on various farms.
Which farmers had more cows than pigs?
Connie, Josie, Patrick, Mimi, Emma
Connie, Josie, Jackson, Jose'
Mimi, Yosef, Jacob, Emiel, Jaylan, Harold
Emiel, Jackson, Jacob, Harold, Yosef
Answer:
Connie, Josie, Patrick, Mimi, Emma
I took the test, I hope this helps! Its okay, but I tried the answer above, and it wasn't correct
Connie, Josie, Patrick, Mimi, and Emma are the farmers that had more cows than other farmers.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We know that the number of cows is shown on the graph on the y-axis.
The number of pigs is shown on the x-axis of the graph.
we can conclude from the graph that Connie, Josie, Patrick, Mimi, and Emma had more cows than the other farmers.
If we add all of them that would become greater than others.
Learn more about addition;
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what is 25 percent of 1000
Answer:
250
Step-by-step explanation:
1000 divided by 4 is 250
once again help please
Answer:
B.
Step-by-step explanation:
Using Pythagoras theorem
c² = a²+b²
Where c = hypotenuse, a = base and b = perpendicular
So putting the givens
c² = (2√5)² + (6)²
c² = 20+36
c² = 56
Taking square root on both sides, we get
c = √2×2×14
c = 2√14
Find the surface area of the cylinder. Round your answer to the nearest tenth. radius is 6 ft height is 7 ft
Answer:
490.1
Step-by-step explanation:
A=2πrh+2πr2=2·π·6·7+2·π·62≈490.08845
factorise 9y^2-66yz+121z^2 plss answer with steps plss
Answer:
(3y - 11z)2
Step-by-step explanation:
hahaha hello again
Step-by-step explanation:
(3y - 11z)(3y - 11z)
9y^2: 3y 3y
121z^2: 11z 11z
(3y - 11z)(3y - 11z)
9y^2 - 33yz - 33yz + 121z^2
9y^2 - 66yz + 121z^2
For what values of x does
25^x = 5^(x2-3?)
Answer:
x = 3 or x = -1
Step-by-step explanation:
25^x = 5^(x^2 - 3)
<=> (5^2)^x = 5^(x^2 - 3)
<=> 5^(2x) = 5^(x^2 - 3)
<=> 2x = x^2 - 3
<=> x^2 - 2x - 3 = 0
<=> x^2 + x - 3x - 3 = 0
<=> x(x + 1) - 3(x + 1) = 0
<=> (x - 3)(x + 1) = 0
<=> x = 3 or x = -1
I hope this helps!
pls help me I will give u 100 points and mark you as brainiest pls help. 1,2,3,4,5
Answer:
See explaination
Step-by-step explanation:
All these questions can be solved remembering that the area of a triangle is the base*height/2
1) 9.8*3.6/2 = 17.64
2) 14*35/2 = 245
3) 8.4*6.9/2 = 28.98
4) For this one, it is important to realize that if a triangle contains 2 perpendicular lines, it is a right triangle, and therefore, those two lines must be the base and the height. So the answer is just 1.8*2.5/2 = 2.25
5)3.2*9.6/2 = 15.36
Answer:
first is 17.64cm second is 245m third is 28.98cm fourth is 15.36
Match the rate - - .75 -- with corresponding time of year
A. Three Months, 1/4 =
B. Six Months, 6/12 =
C. Nine Months, 9/12 =
D. 1 Month, 1/12 =
Answer: C. Nine Months, 9/12 = 9÷12 = 0.75
Step-by-step explanation:
Hi, to answer this question we have to convert the fraction into decimals and compare:
A. Three Months, 1/4 = 1÷4 = 0.25
B. Six Months, 6/12 = 6÷12 =0.5
C. Nine Months, 9/12 = 9÷12 = 0.75
D. 1 Month, 1/12 =1÷12 = 0.083333
C. Nine Months, 9/12 = 9÷12 = 0.75
Feel free to ask for more if needed or if you did not understand something.
WILL GIVE BRAINLIEST
Given the expression: 4x10 − 64x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
2(20-64)
Step-by-step explanation:
4*10-64*2
40-128
2(20-64)
Please help ASAP, dhdbhehd
Answer:
42°
Step-by-step explanation:
all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42
Which of the following are solutions to the equation below?
Check all that apply.
x^2-2x-24=0 A. 6
B. 4
C.-6
D.-24
E. -4
Answer:
A. 6
E. -4
Step-by-step explanation:
x² - 2x - 24 = 0
x - 6
x 4
(x - 6)(x + 4) = 0
Set each parenthesis equal to 0:
(x - 6) = 0
Isolate the variable, x. Add 6 to both sides;
x - 6 (+6) = 0 (+6)
x = 0 + 6
x = 6
(x + 4) = 0
Isolate the variable, x. Subtract 4 from both sides:
x + 4 (-4) = 0 (-4)
x = 0 - 4
x = -4
x = -4, 6 are your solutions, or A. & E.
~
Answer:
[tex] \boxed{A. \: 6 \: \: \: and \: \: \: E. \: -4} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} - 2x - 24 = 0 \\ \\ = > {x}^{2} - (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} - 6x + 4x - 24 = 0 \\ \\ = > x(x - 6) + 4(x - 6) = 0 \\ \\ = > (x - 6)(x + 4) = 0 \\ \\ = > x - 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x + 4 = 0 \\ \\ = > x = 6 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x = - 4[/tex]
A runner can run 3 miles in 30 minutes. how long will it take to run 2.5
Answer:
25 minutes.
Step-by-step explanation:
We can set up an equation: 3/30=2.5/n. This situation is directly proportional, since the number of minutes increases as the runner runs more miles.
We can cross multiply: 3n=30*2.5
3n=75
n=25
Will give brainliest if correct.
Answer:
The answer would be, 81cm.
Step-by-step explanation:
36÷4=9
9×9=81
