The surface area of a rectangular-prism-shaped skyscraper is 1,115,000 m2. What is the surface area of a similar model that has a scale factor of 1/800? Round your answer to the nearest tenth.
The surface area of a similar rectangular-prism-shaped skyscraper that has a scale factor of 1/800 would be equal to 1.7 meter.
The surface area of a rectangular prism.Mathematically, the surface area of a rectangular-prism is given by this formula:
A = 2(wl + hl + hw)
Where:
A is the surface area.l is the length.w is the width.h is the height.Given the following data:
Surface area of rectangular prism = 1,115,000 m²
Scale factor = 1/800
The length, height and width of the similar model would be 1/800 the original rectangular-prism-shaped skyscraper.
Substituting the given parameters into the formula, we have;
Surface area = 1,115,000 × 1/800 × 1/800
Surface area = 1.7 meter.
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Circle the true statement: 46.8 < 46.08 35.30 > 35.3 17.2 > 17.19
Answer:
17.2 > 17.19 True
Step-by-step explanation:
46.8 < 46.08 Not True, sign should be the other way around
35.30 > 35.3 Not True, they are equal
17.2 > 17.19 True
Answer: 17.2 >17.19 Is true
Step-by-step explanation: First one is greater than, second one is equal to.
Which simplified ratio correctly compares 12 yards to 20 feet?
Answer:
3:5
Step-by-step explanation:
Divide both numbers by 2
Keep dividing by 2 until you can't anymore.
12/2=6
20/2=10
6/2=3
10/2=5
Write the polynomial in standard form.
( look at photo )
Answer:
[tex]b^{2} -2b+5[/tex]
Step-by-step explanation:
Please help first correct answer gets brainleist and 100 points please I'll answer your questions
Answer:
a) AE and BC are parallel (as shown by the markings)
b) ED and CD are equal in length (as shown by the markings)
c) 3: AE is perpendicular AB, AB is perpendicular to AE/AC, AC is perpendicular to AB
how do I find the volume of an upright rectangle?
Answer:
v=l×h×w
Step-by-step explanation:
that the furmula
The linear model y=−1.25x+9.5 represents the average height of a candle, y, in inches, made with the new brand of wax x hours after the candle has been lit. What is the meaning of the slope in this linear model?
The interpretation of the slope in the equation y = 1.25x + 9.5 is that 1.25 inches of candles are made per hour
How to interpret the slope?The linear model is given as:
y = 1.25x + 9.5
A linear model is represented as:
y = mx + b
Where;
m = slope
So, we have:
m = 1.25
This means that the interpretation of the slope is that 1.25 inches of candles are made per hour
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The table below represents which equation?
х
0
2.
-1
1
1
-5
2
-8
у
-2
A
y = -x
B
y = 3x + 6
y=-3x - 2
D
y = x + 2
Answer:
C
Step-by-step explanation:
The slope of the equation is
1- (-2)/-1-0 = 3/-1 = -3
the slope of y= -3x-2 is -3
50- select C
{ find the slope of the equation }
Use the information provided to answer Part A and Part B for question 11.
Three congruent figures are shown in the coordinate plane.
8
-7
-5
9-3-7 65
A
N
-4
-5
-6
-7
-8
3
11. Part A
Which statement describes a possible sequence of transformations that
transforms figure 1 into figure 2?
A. a reflection across the x-axis, followed by a translation 2 units to the left
B. a reflection across the x-axis, followed by a translation 3 units to the right
C. a rotation 180° clockwise about the origin, followed by a translation
2 units to the left
D. a rotation 180° clockwise about the origin, followed by a translation
3 units to the right
The correct statement about the congruent figures is,
⇒ a reflection across the x-axis, followed by a translation 3 units to the right.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
Three congruent figures are shown in the coordinate plane.
Now, From figure A and figure B,
Figure B is reflection across the x-axis, followed by a translation 3 units to the right across the figure A.
Thus, The correct statement about the congruent figures is,
⇒ a reflection across the x-axis, followed by a translation 3 units to the right.
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the variable x represents a value in the set {4,6,7,8}. which value of x makes 2(x-4)+3=7
Answer:
The value of x is 6
Step-by-step explanation:
Solving for x :
=> 2(x-4)+3=7
=> 2x-8+3 = 7
=> 2x-5 = 7
=> 2x = 7+5
=> 2x = 12
=> x = 12/2
=> x = 6
Which equation illustrates the identity property of multiplication? (a bi) × c = (ac bci) (a bi) × 0 = 0 (a bi) × (c di) = (c di) × (a bi) (a bi) × 1 = (a bi)
The equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The identity property of multiplication states that when a factor is multiplied by 1 the result is the factor itself. Therefore, the equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).
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Answer:
D
Step-by-step explanation:
duh
The diameter of a circle is 18 in. Find its area in terms of
π
π.
Answer: 81 π.
Step-by-step explanation: To find the area of a circle, you need to multiply the circle's radius squared by pi. However, this problem is in terms of pi, so we're just going to find the radius squared. We're given the diameter, but we can simply cut it in half since the radius is half the diameter. The diameter for this circle is 18, so divide 18 by 2, and 9 is your radius. 9^2 is 81, so 81 π is your answer in terms of pi because when you find the radius squared, you put pi next to it.
Have a great day! :)
Answer: the area is 81π
Step-by-step explanation:
The formula is A=πr
^{2}
The raidius would be 9 (18/2)
A=π9^{2}
π x 9^{2} = 81π
Decimal form: 254.469004941
Drew dis its one of kmk charactersssss
Step-by-step explanation:
yo that's actually really sick
need help with this question
Answer:
f'(0)= -2/5
Step-by-step explanation:
Solve with picture PLEASE show all work
Answer:
40 in.^2
Step-by-step explanation:
Let's name the 2 shaded triangles: The left one is T1 and the right one is T2.
The area of a right triangle can be found using the equation (a*b)/2.
The 2 legs of T1 are 8 in. and 6 in. (from 10 - 4)
Area of T1 = [tex]\frac{8 * 6}{2}[/tex] = 24 in.^2
The 2 legs of T2 are 8 in. and 4 in.
Area of T2 = [tex]\frac{8 * 4}{2}[/tex] = 16 in.^2
Area of shaded region = 16 + 24 = 40 in.^2
Factor out and show the step by step explanation of the answer for x^2+24x+5
Answer:
x =(24-√596)/2=12-√ 149 = -0.207
x =(24+√596)/2=12+√ 149 = 24.207
Step-by-step explanation:
Factoring x2-24x-5
The first term is, x2 its coefficient is 1 .
The middle term is, -24x its coefficient is -24 .
The last term, "the constant", is -5
Multiply the coefficient of the first term by the constant 1 • -5 = -5
Find two factors of -5 whose sum equals the coefficient of the middle term, which is -24 .
-5 + 1 = -4
-1 + 5 = 4
Two solutions were found :
x =(24-√596)/2=12-√ 149 = -0.207
x =(24+√596)/2=12+√ 149 = 24.207
What are prime numbers used for?
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.
On Tuesday, the temperature was 21°C and on Wednesday, it was 17°C. If the
temperature dropped at the same rate, what would the temperature be on Thursday?
?
Lillian bought snacks for her team's practice. She bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48. How much was each bottle of juice?
Answer:
$1.030 ($1.03 rounded.)
Step-by-step explanation:
First, we need to start of making an equation.
$2.36 + x = 6.48.
We will use x as the variable for the amount of each bottle of juice, because it is unknown.
Then, we must put the variable on one side of the equation. To do this, we must subtract $2.36 from $6.48; and $2.36 - $2.36.
$2.36 - $2.36 crosses out; 0. $6.48 - $2.36 = $4.12.We get the result that x = $4.12. However, only 1 pack is $4.12, and we must find the cost of 4 juice bottles. Therefor, we divide 4.12 by 4.
4.12 / 4 = 1.030. Now, to round the answer, this would be $1.03 per bottle.If Lillian bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48 then each juice bottle costs $1.03.
Let's denote the cost of each juice bottle as "x".
Since Lillian bought a 4-pack of juice bottles, the total cost of the juice is 4x.
Given that the total cost before tax was $6.48, we can set up an equation:
Cost of apples + Cost of juice = Total cost
$2.36 + 4x = $6.48
Now, solve for "x":
4x = $6.48 - $2.36
4x = $4.12
x = $4.12 / 4
x = $1.03
Hence, Each bottle of juice costs $1.03.
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I need help with this question
Answer:
[tex]y=x+4[/tex]
Hope This Helps! :) Please give Brainliest!
Refer to attachment below;
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What is the area of parallelogram ABCD?
Will mark brainlyest!!!
What are the solutions to the equation x2−6x+8=0?
Jackie went to the movie theater where he bought drinks and popcorn bags for his group of friends. Each drink was $4 and a bag of popcorn was $6. He spent a total of $108. He bought a total of 22 items combined. Write a system of equations that could be used to determine the number of drinks and popcorn bags that Jackie bought at the movie theatre. Define the variables used.
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars. When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.
Here is a prism drawn on an isometric grid how many vertices
Answer:
C-12
Step-by-step explanation:
The definition of a Vertex of a 3D shape is 'Where 3 lines meet to form an angle' which in this case would be 12.
Answer:
it's c12 first do the edge face vertical nameing polygon and then you can get your answers
The two triangles are similar.
What is the value of x?
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides are in same proportion.
[tex]\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}[/tex]
Cross multiply,
4x*12 = 15*(3x + 1)
48x = 15*3x + 15*1
48x = 45x + 15
48x -45x = 15
3x = 15
x = 15/3
x = 5
what should ne The power of 5 so that ies value becomes 1÷25
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
Primd factorize 25
25 = 5*5 = 5²
[tex]\sf \dfrac{1}{25}=\dfrac{1}{5^{2}} \\\\= 5^{-2}[/tex]
HINT:
[tex]\dfrac{1}{a^{m}}=a^{-m}[/tex]
In ΔABC, AB=24.9, AC=15.8, and BC=24.4. What is m∠A?
Answer:
approximately 71.50215
Step-by-step explanation:
Does (3, 10) make the inequality y<2x + 4 true?
Answer:
no,
Step-by-step explanation:
because 3, and 10 are not even when multiplied in the equasion.
Answer:
That statement is true, if you set y to 3 and x to 10 in this problem.
[tex]y(3+1) = 4\\2 * x(10 + 4) = 24[/tex]
a=91 inches and b=60 inches what is the length of the hypotenuse
Hey there!
Formula: c = √a^2 + b^2
YOUR EQUATION:
c = √(91^2 + 60^2)
c = √(91 * 91 + 60 * 60)
c = √(8,281 + 3,600)
c = √(11,881)
c ≈ 109
Therefore, your answer should be: 109
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)