Answers
Answer: Formula used for pyramid is (V= 1/3 Bh SA: 1/2 P*l+B) Final answer is SA=110.4 V=64
Step-by-step explanation:
P= Perimeter
l= length
B= Base
To find the perimeter you add all the sides of the base. (4+4+4+4)=16
To find the length you can use Pythagorean Theorem which is a(squared) + b(squared) = c(squared) where c is the hypotenuse. [tex]2^{2}[/tex] + [tex]12^{2}[/tex]= [tex]x^{2}[/tex]
4+144=[tex]x^{2}[/tex]
164=[tex]x^{2}[/tex]
[tex]\sqrt{164}[/tex]=x
x=12.8
To find the base it will be l*w (4*4)=16
Then you plug it in the formula for SA which will be
SA=1/2 16*12.8+16
SA=110.4
For Volume, it will be
V=1/3 Bh
V= 1/3 16(12)
V= 64
Related Questions
an island has three towns located at points with the coordinates a (15,3) b (25,10) and c (0,20) where the coordinates have units of Km the government wants to locate a toxic waste dump at a position as far as possible away from each town you may assume that this location is not on the edge of the island find the coordinates at the point where the toxic waste dump should be located
Answers
9514 1404 393
Answer:
(13.06, 16.41)
Step-by-step explanation:
Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.
The midpoint of AB is ...
(A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)
The midpoint of AC is ...
(A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)
__
The differences between points are ...
B -A = (25, 10) -(15, 3) = (10, 7)
C -A = (0, 20) -(15, 3) = (-15, 17)
Then the perpendicular bisector equations can be written as ...
bisector of AB ⇒ 10(x -20) +7(y -6.5) = 0
10x +7x -245.5 = 0
bisector of AC ⇒ -15(x -7.5) +17(y -11.5) = 0
-15x +17y -83 = 0
These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...
x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06
y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41
The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).
_____
Further detail regarding the solution
Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...
R -S = (∆x, ∆y)
The midpoint of segment RS can be called ...
(R +S)/2 = (h, k)
Then the line that is a perpendicular bisector of RS can be written as ...
∆x(x -h) +∆y(y -k) = 0
This is the form that is used above.
__
The "cross multiplication method" for solving a pair of general-form linear equations ...
ax +by +c = 0
dx +ey +g = 0
will give the solution as ...
1/(ae -db) = x/(bg -ec) = y/(cd -ga)
If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.
[tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]
There were 225 tickets sold for the ballgame. Children's' tickets were $1 and adults' tickets were $2. If
the total amount of tickets sold was $400, how many of each type were sold?
Answers
Answer: 175 adult and 50 children
Step-by-step explanation:
1x+2y=400
x+y=225
subtract x
y=225-x
substitute for y in first set
1x+2(225-x)=400
1x+450-2x=400
450-x=400
-x=-50
x=50
substitute for second set
50+y=225
y=175
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.
On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.
On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).
Which equation represents f(x)?
f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1
Answers
The translation of the parent function is:
g(x) = ∛(x + 6) + 1
How do translations work?There are two types of translations, these are:
Horizontal translation:
For a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the translation is to the left.If N is negative, the translation is to the right.Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive the translation is upwards.If N is negative the translation is downwards.Here we start with the parent function:
f(x) = ∛x
And we apply two translations such that:
g(x) = ∛(x + a) + b
Such that:
g(-7) = 0
g(2) = 3
Then we have the system of equations:
∛(-7 + a) + b = 0
∛(2 + a) + b = 3
From the options, the only ones that make the first option true are:
g(x) = ∛(x + 6) + 1
Such that when evaluated in x = -7 we get:
g(-7) = ∛(-7 + 6) + 1 = ∛(-1) + 1 = 0
When evaluated in x = 2 it gives:
∛(2 + 6) + 1 = ∛(8) + 1 = 2+ 1 = 3
So the only option that meets these conditions is:
g(x) = ∛(x + 6) + 1
Which is a translation to the left of 6 units and up 1 unit.
If you want to learn more about translations, you can read:
https://brainly.com/question/17586310
Answer:
A) f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
Step-by-step explanation:
I Just take the test
HELP!!!! WILL MARK BRAINLIEST!!!!
Answers
Answer:
j
Step-by-step explanation:
please write in y=mx+b format
Answers
Answer:
y=2x-1
Step-by-step explanation:
Plz help 50 points
Help on number 2 and 3 please. What if you can’t read number 3’s answer it is;
A.8
B. 1/8
C.2/9
D. 9/2
Plz help on number 2 and 3
Answers
Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!
Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!!
Answers
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Write as a decimal. Use bar notation if necessary.
Answers
Please help its math...I will give brainliest!
For a holiday sale, all items at Marty’s Electronics are discounted by 25%. Paula bought a laptop that had an original list price of $1,700. If 8% tax was applied to the sale after the discount was taken off, how much did Paula pay for her new computer? SHOW YOUR WORK! Thank you
Answers
Answer:
$1,377
Step-by-step explanation:
the way that I did it-
100-25=75
1700x0.75=1275
8%=0.08, just add a 1 to the sales tax whenever you are calculating that.
1275x1.08=1377
therefore it is $1,377
brainliest would be appreciated :)
What ratios are equivalent to 4:3?
7:2
12/42
28:21
42:12
Answers
because the same number has to multiply both sides of the ratio. so number = 7 and:
4x 7 = 28
3 x 7 = 21
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
The percent decrease was approximately 25%.
The percent decrease was approximately 33%.
The percent decrease was approximately 50%.
The percent decrease was approximately 66%
Answers
Answer:
66%
Step-by-step explanation:
IT'S D = THE PERCENT DECREASE WAS APPROXIMATELY 66%
Select the correct answer.
Which expression represents a difference of squares?
A.
81 − 49y2
B.
t2 + 100
C.
4x2 − 16x
D.
25k − 64
Answers
Answer:
The answer is A I'm not 100 percent sure
Answer:
A.
81 − 49y2
Step-by-step explanation:
edmentum answer---
A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes
Answers
Answer:
49.6 minutes to create 308 bolts
Step-by-step explanation:
hope this helps :)
The vertices of a polygon are shown below.
P(1, 3), Q(–2, 3), R(–4, 1),S(–4, –3), T(–2, –5), U(1, –5), V(3, –3),W(3, 1)
Which polygon has these vertices?
On a coordinate plane, 6 points are plotted and labeled hexagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 6 points are plotted and labeled octagon. The points are at (negative 4, negative 3), (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), and (3, negative 3).
On a coordinate plane, 8 points are plotted and labeled hexagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
On a coordinate plane, 8 points are plotted and labeled octagon. The points are (negative 4, 1), (negative 2, 3), (1, 3), (3, 1), (3, negative 3), (1, negative 5), (negative 2, negative 5), (negative 4, negative 3).
Answers
Answer:
The Answer is C
Step-by-step explanation:
This applies to your exam.
please hurry! brainliest if right!
Answers
Answer:
D. 5cm
Step-by-step explanation:
Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?
Answers
Answer:
C
Step-by-step explanation:
used a calc and took test
Find the missing angle in the triangle below
Answers
Answer:
120
Step-by-step explanation:
Exterior angle theorem
50 + 70 = 120
Answer:
120
Step-by-step explanation:
the insides of a triangle add up to 180 degrees. You're given 70 and 50 degrees which add to 120 and that means the other angle is 60 degrees. Since you're trying to find an outside angle, you need to do subtract the 60 degrees we just found from 180 (because its a supplementary angle). 180-60 is 120 and thats the answer
Which category do all of these shapes belong to?
Help
Answers
Answer:
rectangles
Step-by-step explanation:
All of these shapes belong to rectangles category.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
Three shapes in the form of quadrilateral are given.
From the diagrams,
the shapes have the opposite sides equal and parallel.
That means, the shapes are rectangles.
Therefore, the shapes are rectangles.
To learn more about the rectangular;
brainly.com/question/21416050
#SPJ5
2. Suppose you are making some soup. You have 7 types vegetables in front of you (one serving of each) and you want to include 4 of them in your soup (each being different). How many ways are there to do this?
Answers
3 different ways to do it.
Using the combination formula, it is found that there are 35 ways to do this.
The order in which the vegetables are included is not important, thus, the combination formula is used to solve this question.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given as follows:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 vegetables from a set of 7, thus:
[tex]C_{7,4} = \frac{7!}{4!(7-4)!} = 35[/tex]
There are 35 ways to do this.
A similar problem is given at https://brainly.com/question/24278448
Help! I’m awful at graphs and stuff
Answers
Answer: for b: function one has a greater rate of change
Step-by-step explanation: sorry i don't know the first one
Answer:
a) -2 and 4, b) function 2
Step-by-step explanation:
Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plug the points in:
[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]
(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)
So the slope of function 1 is -2.
We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.
[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]
And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.
Function 2 has a greater rate of change, since 4>-2.
Hope this helps!
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answers
Answer:
The equation of the line in slope-intercept form is:
[tex]y\:=\:\frac{-10}{7}x-\frac{45}{7}[/tex]Step-by-step explanation:
Given the points
(-8, 5)(-1, -5)Finding the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)[/tex]
[tex]m=\frac{-5-5}{-1-\left(-8\right)}[/tex]
[tex]m=-\frac{10}{7}[/tex]
We know the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept
[tex]5\:=\:\frac{-10}{7}\left(-8\right)+b[/tex]
[tex]\frac{80}{7}+b=5[/tex]
[tex]b=-\frac{45}{7}[/tex]
now substituting m = -10/7 and b = -45/7 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)[/tex]
[tex]y\:=\:\frac{-10}{7}x-\frac{45}{7}[/tex]
Thus, the equation of the line in slope-intercept form is:
[tex]y\:=\:\frac{-10}{7}x-\frac{45}{7}[/tex]Dina can run 4 miles in 30 minutes. If she maintains this pace, how many miles can she run in 90 minutes?
Answer choices
A. 12
B. 16
C. 8
D. 15
Answers
Answer:
15minutes / 2miles = 7.5 minutes to run a single mile.
7.5minutes * 5miles = 37.5minutes
37.5minutes to run 5 miles
Step-by-step explanation:
Answer:
A. 12
Step-by-step explanation:
Set up a proportion: [tex]\frac{4}{30} = \frac{x}{90}[/tex] Cross multiply, then divide: 4 × 90 = 360, 360 ÷ 30 = 12So, Dina can run 12 miles in 90 minutesI hope this helps!
Help me with question 3
Answers
The input x = 1 leads to multiple outputs y = 1 and y = 2 simultaneously, which is why choice D isn't a function.
A function is only possible if any input leads to exactly one output only. Choices A,B and C are all functions for this reason.
Answer:
I believe it would be C.
Which is the solution to the equation below? 8x=56
Answers
Answer:
7
Step-by-step explanation:
8x=56
x=56/8
x=7
What is the equation for the
following table:
X Y
1 -5
2 -7
3 -9
4 -11
Answers
y= mx+b
-5= -2(1) + b
-5 = -2 + b
b = -3
equation: y= -2x-3
8 cm
15 cm
20 cm
What is the surface area of the cuboid?
Answers
Answer:
Step-by-step explanation:
remember that the surface area is
S=2lw+2lh+2hw
S=2(15*20)+2(15*8)+2(8*20)=600+240+320=1160 cm^2
The surface area of the cuboid is 1160 square cm whose dimensions are
l= 20cm, w= 8 cm and h = 15 cm.
Given:
Length = 20 cm
width = 8 cm
Height = 15 cm
So, the formula for Surface area of Cuboid is
= 2(lw+ wh + lh)
Substituting the values l= 20cm, w= 8 cm and h = 15 cm into the formula as
= 2(lw+ wh + lh)
= 2 (20 x 15 + 8 x 15 + 8 x 20)
= 2 (300 + 120 + 160)
= 2 (580)
= 1160 square cm
Learn more about Surface area here:
https://brainly.com/question/29298005
#SPJ4
Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?
Answers
Answer:
The price of each CD before tax is $15.70
Step-by-step explanation:
Given that:
Number of CDs bought by Reuben = 5
Cost of five CDs = $81.50
Sales tax on each CD = $0.60
Sales tax on 5 CDs = 0.60*5 = $3.00
Price of CDs without tax = 81.50 - 3.00 = $78.50
Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]
Price of each CD = [tex]\frac{78.50}{5}[/tex]
Price of each CD = $15.70
Hence,
The price of each CD before sales tax is $15.70
please help me asap!!!!
Answers
Answer:
i think it means to just plot j at -6 on the x axis and 1 up on y axis
Answer:
Step-by-step explanation:
J has coordinates ( 6, 1) when reflected over the x-axis
(x, y) reflected over x-axis becomes ( x, -y)
J' has the coordinates ( 6, -1)
(picture included) brainliest
Answers
Answer:
A. y = -1/4x + 1 1/2
B. The rate of change is losing/decreasing -1/4 (y axis unit) per (x axis unit)
Step-by-step explanation:
A. Your equation is 2x + 8y = 12
so solve this for y like any other other question. Start by subtracting 2x from both sides: 8y = -2x + 12
then divide both sides by 8 to isolate y: y = -2/8x + 12/8
simplify your equation: y = -1/4x + 3/2
turn 3/2 into a mixed fraction: y = -1/4x + 1 1/2
B. The rate of change is the same thing as the slope but you say it with units. I cant see a scenario but you can say something like:
The rate of change is losing/decreasing -1/4 (y axis unit) per (x axis unit)
Multiply. Write answer in box below.
(3x - 4)(x+4)
Answers
Answer:3x^2+8x-16
Step-by-step explanation: