Answer:
240 in²
Step-by-step explanation:
The surface area of the pyramid is the sum of the areas of the parts of the composite figure comprising the net. That is, it is the sum of the areas of four triangles and a square.
__
FaceThe area of a triangle is ...
A = 1/2bh
For the given triangles, this is ...
A = 1/2(8 in)(11 in) = 44 in²
__
BaseThe area of the square base is ...
A = s²
For the given dimensions, this is ...
A = (8 in)² = 64 in²
__
Total Surface AreaThe sum of the areas of the four faces and the base is ...
total area = 4(44 in²) +64 in² = 240 in²
The surface area of the square pyramid is 240 in².
Help please calculus
Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.
The box has a fixed volume of 252 cm³, so
xyz = 252
The surface area of the box is
2xy + 2xz + 2yz
and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by
C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)
or, omitting units and simplifying,
C (x, y, z) = 7xy + 6 (x + y) z
In the volume constraint, solve for any one variable; I'll do z.
z = 252/(xy)
Substitute this into the cost function:
C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)
Since this is now a function of 2 variables, I'll rewrite this as
C* (x, y) = 7xy + 1512 (1/y + 1/x)
Compute the partial derivatives of C and find the critical points:
∂C/∂x = 7y - 1512/x² = 0 ⇒ x² y = 216
∂C/∂y = 7x - 1512/y² = 0 ⇒ x y² = 216
It follows that
x² y = x y² ⇒ x = y
Just like before, we can think about C* as yet another function but only of 1 variable,
C** (x) = 7x² + 3024/x
Now find the critical points of C** :
dC**/dx = 14x - 3024/x² = 0 ⇒ x = 6
All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.
Select the correct answer
Answer:
B.
Step-by-step explanation:
it's B because if you put it as a mixed number it would be 21/2 ÷ 9/4 and then the rest is easy
Answer:
B
Step-by-step explanation:
4 2/3
Fill in the blanks of the sentence.
Answer:
Step-by-step explanation:
Two angles that are vertical are supplements of the same angle which means the two angles are congruent to each other.
Use the model to write the equation that represents the problem. I have one-half of a square and I want to divide it by three-fourths. How many pieces would I have? A) 1 2 ÷ 3 4 = 2 B) 1 2 ÷ 3 4 = 3 C) 1 2 ÷ 3 4 = 2 3 D) 1 2 ÷ 3 4 = 3 2
Answer:
my oppositions C) 1 2÷3 4=2 3
There are 600 dishes that need to be rinsed. Eric can rinse them in 60 minutes by himself. It will take his friend Reuben 120 minutes to rinse these dishes. How long will it take them if they rinse these 600 dishes together?
1. Find the sum.
Use tiles to find 29 + 28.
Answer:
57?
Step-by-step explanation:
What is the simple interest rate on a $520
investment that was left in an account for Z
years and earned $83.72 in interest?
Is 1/8 x 20 greater than or less than 20? Please explain!
Answer:
1/8x20 is less than 20
Step-by-step explanation:
Since we know that 1x20 is equal to 20, and 1/8 is 8 times smaller than 1, we know that 1/8x20 is 20 divided by 8 which is smaller than 20
Doug would like to construct a fence
along his property borders. The scale
on his property map is 1 inch to 3 feet.
If the perimeter of his property on the
map is 10 inches, how many feet of
fencing will he need?
[?] feet
He would need 30 feet of fencing.
Pls help what is the ratio and how do you find it
1:1
Step-by-step explanation:
AM= a and MB= b
But M is the midpoint,
Therefore,
a= b (AM= MB)
AM + MB = AB
2AM = AB
AM= AB/2
RATIO OF AM to MB
=
AB/2 : AB/2
= 1:1
The room is a cube with edge length 11 feet including the ceiling in the floor how much surface area must be painted
Find x if USR is supplementary to RST.
Answer: 8
Step-by-step explanation:
How much should John get back after paying for purchases totaling $5.45
when he pays $10.00
what is 26.4 ÷ 4.8 i need help
Answer:
Step-by-step explanation:
Answer: 5.5
Expand 26.4/4.8 by multiplying both numerator and the denominator by 10.
264/48
Reduce the fraction 264/48 to lowest terms by extracting and canceling out 24.
11/2
Factor
11/2=5 1/2=5.5
hope this helps.
Mark me brainliest as well please.
Answer:
i know i said it in the text but it's 5.5
Step-by-step explanation:
Find the Value of X.
Solve for X
Answer: x=21
Step-by-step explanation:
50-90=40
40=2x-2
2*21=42
42-2=40
x=21
A right triangle is shown. What is the value of x? Round to the nearest tenth.
Step-by-step explanation:
B²=a²+c²
12²=4.2²+c²
144=16.4+c²
144-16.4=c²
127.6=c²
√127.6=√c²
11.3=c
Which of the following is the graph of y = negative (x minus 2) cubed minus 5?
Step-by-step explanation:
(x-2)^3 = x^3-6x^2+12x-8
-(x^3-6x^2+12x-8)=
-x^3+6x^2-12x+8
-x^3+6x^2-12x+8 -5=
y=-x^3+6x^2-12x+3
I attached the picture
Answer:
NOT D graph 4
Step-by-step explanation:
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answer: diameter
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
The diameter connects two points on the edge of a circle through it's centre.
35% of 40 is what?
55% of what number is 44?
Answer:
14
80
Step-by-step explanation:
Answer:
Step-by-step explanation:
35% of 40 is 14
55% of 80 is 44
if two angles in a triangle are 50 and 40, it must be a/an___________________triangle.
Answer:
right triangle
Step-by-step explanation:
Hey there!
A triangle has to have three vertices that add up to 180 degrees
The angle measurments 50 and 40 are already given and added up, they equal 90 degrees
Now out of 180 degrees, 90 degrees is already shown
What you need to do now is try to find how much more degrees you need to get 180 degrees
As you know 180-90=90
So this means that the missing angle is 90 degrees
Now that we know this, we can find out what type of triangle this is
Since the triangle has an angle that is equal to 90 degrees, or it has a right angle, the triangle can be called a right triangle
A right triangle is a triangle that has an angle that is equal to 90 degrees
So this triangle is a right triangle
what statement best describes the relationship between the side lengths and angle measures of teo triangles
Answer:
Figure RST is congruent to figure R’S’T’.
Step-by-step explanation:
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices - a, b, c, d, e-
and only one correct answer. What is the probability that he answered neither of the problems correctly?
Do not round your answer.
0
X
?
Answer: The student answerd the problems wrong because he guessed instead of taking his time to correctly get the right answer.
Step-by-step explanation:
calculate the shaded area
Answer:
42 cm²
Step-by-step explanation:
the length of the shaded area is the length of the white rectangle, that is
length = 7 cm
the width of the blue area is the length of the white rectangle subtract twice the width of the white rectangle, that is
width = 7 - (2 × 0.5) = 7 - 1 = 6 cm
shaded area = length × width = 7 × 6 = 42 cm²
I'm not sure how to find a Wrighteasyrement so how do I find it.
Response
I'm assuming that by 'wrighteasyrement' you meant weight measurement? If you need a conversion tool you can just look up ___ to ___ on (g-search engine). If you need the initial one, use a scale??? or a formular, you can also look those up, sorry, i'm not really sure what you're asking.
Add This Equation: In Photo...
Answer:
see below
Step-by-step explanation:
= (5+7) / ( z+1) = 12 / (z+1)
A series of transformations on quadrilateral Y
resulted in quadrilateral Z. The angle measures of
quadrilateral Y are congruent to those of
quadrilateral Z. The side lengths of quadrilateral
Z are twice as long as those of quadrilateral Y.
Which transformation on quadrilateral Y must be
included to result in quadrilateral Z?
Answer:
reflections Couse it keeps repeating y and z bit not sure
Step-by-step explanation:
I am sorry if it is the wrong answer
Please Help!!! . . . . .
If y=x+4 then what is (x-y)^3
Answer:
64
Step-by-step explanation:
y = x + 4
y - x = 4
4^3 = 64
you have -$124 in your checking account. you wrote a $75 dollar check how much money do you have in your account now
Answer:
There will be 49 dollars in your account
A ring-shaped region is shown below.
Its inner diameter is 14 yd., and its outer diameter is 20 yd.
Answer:
160.14yd²
Step-by-step explanation:
first we find both of their areas then we subtract the small one f4om the big one
A=πr²
step 1 find area of large circle
A=3.14×(10²)
A=3.14×100
A=314
step 2 find are of small circle
A=3.14×(7²)
A=3.14×49
A=153.86
step 3 subtract small area from big area
314-153.86=160.14