Answers
22-15 = 7 floors
76.4 -54 = 22.4 meters
22.4 / 7 = 3.2 meters ( each residential floor )
now find height of ground floor:
floor 8 - 1 = 7 floors
7 floors x 3.2 meters = 22.4 meters total
31.6 meters - 22.4 meters = 9.2 meters
the ground floor = 9.2 meters
Therefore, the height of the ground floor is 9.2 meters above the ground.
The pattern observed in the data is that the difference in height between consecutive floors remains constant. To find this constant difference, we can subtract the height of one floor from the height of the next floor.
For example:
Height of floor 1 (15th floor) - Height of ground floor (8th floor) = 54 m - 31.6 m = 22.4 m
Height of floor 2 (22nd floor) - Height of floor 1 (15th floor) = 76.4 m - 54 m = 22.4 m
The constant difference is 22.4 meters. This represents the height between each residential floor. To find the height of the ground floor (floor 0), we can subtract this constant difference from the height of the first residential floor.
Ground floor height = Height of floor 1 - Constant difference
Ground floor height = 31.6 m - 22.4 m = 9.2 meters.
Related Questions
This image shows a square pyramid. What is the surface area of this square pyramid? 36 ft² 72 ft² 78 ft² 84 ft² Note: Image not drawn to scale. The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge. The length of the base edge is 6 feet. The lateral edge makes a 45 degree angle with the base edge.
Answers
we know that
In a square pyramid we have five faces, 4 triangles and 1 square. So to determine surface area we need to take the areas of the triangles and square and add them all up
The square's area is relatively simple:
A=b²
A=6²=36 ft²
But now let's observe the triangles, a triangle's area is:
A=(1/2)*b*h
the base is equal to 6 ft
b=6 ft
AC=BC----------> because the angle is 45°
AC=6 ft/2----> 3 ft
so
BC=3 ft
A=(1/2)*6*3----> 9 ft²
Multiply the triangle's area by four to account for all four triangular faces and add the squares area for your answer
Surface area=36 +4*9-----> 72 ft²
the answer is
72 ft²
Answer:
72
Step-by-step explanation:
just took quiz
What is the equation of the quadratic graph with a focus of 4,0 and a directrix of y=10
Answers
1. Let's call (x0, y0) to any point of the parabola.
2. Then, you have:
√(x0-a)^2+(y0-b)^[2=|y0-10|
3. When you susbtitute values and simplify it, you obtain:
(√(x0-4)^2+(y0-0)^2)^2=(y0-10)^2
(x0-4)^2+y0^2=(y0-10)^2
4. Now, you must clear y, and you will have:
y=(-x^2/20)+(2x/5)+(21/5)
what is the slant height of the cone
Answers
does the lateral area in a prism include the base?
Answers
There are 10 red and blue marbles, among which r are red. How many are blue? Denote blue marbles as b
Answers
Answer:
equation=r+b=10
answer=10-r
Its common sense y'all! IF you don't have enough information,just make up a equation! And use the variables as your numbers!
There are 10 - r blue marbles
How to determine the number of blue marbles?The distribution of the marbles are given as:
Red = r
Blue = b
Total = 10
This means that:
b + r = 10
Solve for b
b = 10 - r
Hence, there are 10 - r blue marbles
Read more about equations at:
https://brainly.com/question/2972832
#SPJ6
If Jane has 3 3/4 dozen boxes of envelopes, and she ordered 11 1/2 dozen more, how many dozen boxes will she have in all?
Answers
Final answer:
Jane has a total of 61/4 dozen boxes of envelopes after adding the original 3 3/4 dozen with the additional 11 1/2 dozen she ordered.
Explanation:
If Jane has 3 3/4 dozen boxes of envelopes, and she orders 11 1/2 dozen more, we must add these two amounts together to find out how many dozen boxes she will have in all. First, we convert 3 3/4 to an improper fraction: 3 x 4 + 3 = 12 + 3 = 15, so 3 3/4 dozen becomes 15/4 dozen. Similarly, we convert 11 1/2 to an improper fraction: 11 x 2 + 1 = 22 + 1 = 23, so 11 1/2 dozen becomes 23/2 dozen.
Next, we add the two amounts of dozens of boxes together:
(15/4) dozen + (23/2) dozen
To add these fractions, we need a common denominator, which is 4, so we convert 23/2 to 46/4.
(15/4) dozen + (46/4) dozen = (61/4) dozen
So, in total, Jane will have (61/4) dozen boxes of envelopes.
Two campers leave their campsite at point A to go on a hike. Camper one heads east for 2 miles, then heads north 1 mile to point B. Camper two heads north for 4 miles, then east for 3 miles to point C. Referencing the triangle formed by A, B, and C, m
A.
27°
B.
36°
C.
45°
D.
53°
Answers
Answer:
its not C. It's A. 27
I just did it with my math teacher
A sporting goods store sells 2 fishing reels and 5 fishing rods for $195. Later, they sell 4 fishing reels and 3 fishing rods for $131. Find the price of each item.
Answers
Fishing reel = x
Fishing rods = y
Therefore,
2x + 5y = 195 ---- 1
4x + 3y = 131 ---- 2
Solving 1 and 2 above;
Multiply expression 1 by 2 and subtract 2 from the results;
4x + 10y = 390
4x + 3y = 131
-------------------
0x + 7y = 259 => y = 259/7 = 37
Using the value of y in expression 1;
2x + 5(37) = 195
2x + 185 = 195
2x = 10
x = 10/2 = 5
Therefore, the price of fishing reels is $5 and fishing rods is $37.
Why does it take more centimeters than inches to measure the same distance?
Answers
Aaron is rolling the fair number cubes. What is the probability both cubes show a 5
Answers
Brainly please
For a propular Broadway musical the theater box office sold 356 tickets at $80 apiece,275 tickets for $60 apiece and 369 tickes $45 apiece. How much money did the box office take in
Answers
$80 apiece × 356 tickets = ?
$60 apiece × 275 tickets = ?
$45 apiece × 369 tickets = ?
Now we must solve our equations.
$80 apiece × 356 tickets = $28,480
$60 apiece × 275 tickets = $16,500
$45 apiece × 369 tickets = $16,605
The next step would be to add up all the total costs of each apiece.
$28,480 + $16,500 + $16,605 = $61,585
So our answer is...
The box office took in a total of $61,585
The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 130 feet per second. Which equation correctly models the ball's height as a function of time?
Answers
We have then:
h (t) = - 16t ^ 2 + Vt + h
Where,
V: initial speed
h: height
For the tennis ball we have:
h (t) = - 16t ^ 2 + 130t + 2
Answer:
An equation that correctly models the ball's height as a function of time is:
h (t) = - 16t ^ 2 + 130t + 2
The maximum height at the moment is 266.0625 ft.
Projectile's heightThe equation for a projectile's height versus time is
[tex]&h(t)=-16 t^{2}+V t+h \\[/tex]
h = 2
V = 130
Substitute these values into the function
[tex]$h(t)=-16 t^{2}+130 t+2$[/tex]
Take the first derivative
[tex]$h^{\prime}(t)=-16* 2 t+130[/tex]
[tex]=-32 t+130$[/tex]
Equate the derivative with zero [tex]$h^{\prime}(t)=0$[/tex].
Solve the equation -32 t + 130=0
32 t = -130
t = -130 /(-32)
= 4.0625(s) .
Find the maximum height at the moment
t = 4.0625 (s)
h(4.0625) [tex]= -16(4.0625)^{2}+130 * 4.0625+2[/tex]
= - 264.0625+528.125+2
= 266.0625 ft.
Therefore, the maximum height at the moment is 266.0625 ft.
To learn more about projectile's height
https://brainly.com/question/27750474
#SPJ2
Karla and her dad were nailing up plywood, they started at 10:00. Karla drove 30 nails in 10 minutes, the time it took her dad to drive 50 nails. At that rate for each, when did they finish driving 392 nails in all ?
Answers
Help me with this algebra problem. Thank you :)
Answers
1. You must make a system of equations, as below:
2. Let's call:
x: the number of first class tickets bought.
y: the number of coach tickets bought.
3. Then, you have:
x+y=7 (First equation)
970x+370y=3790 (Second equation)
x=7-y
4. By substitution, you have:
970x+370y=3790
970(7-y)+370=3790
y=5
x=7-y
x=7-5
x=2
Therefore, the answer is:
- Number of first class tickets bought=2
- Number of coach tickets bought=5
What are angle a and the 60-degree angle to one another?
Answers
A professional golfer gets a hole-in-one 0.003% of the time they try on a hole. If the golfer plays 32,000 holes over the course of their professional career, about how many hole-in-ones should they expect over their career?
Answers
96 holes I think is the correct answer
A standard number cube is tossed. Find P (3 or odd)
A. 1/2
B. 2/3
C. 1/3
D. 1/6
Answers
Total number of outcomes with 3 or odd = 3
They are : 1, 3, 5
P(3 or odd) = 3/6 = 1/2
Answer: 1/2
E = set of numbers that are either 3 or odd
E = {1, 3, 5}
S = sample space = set of all possible outcomes
S = set of all the values on the standard number cube (aka dice)
S = {1, 2, 3, 4, 5, 6}
There are 3 items in the event space out of 6 total in the sample space
Using math notation, we can say n(E) = 3 and n(S) = 6. The small n means "number". So writing "n(E)" means "number of items in the event space".
So,
P(3 or odd) = n(E)/n(S)
P(3 or odd) = 3/6
P(3 or odd) = 1/2
The probability as a fraction is 1/2, which is 0.5 in decimal form. This represents a chance of 50%. Note: since 3 is an odd number, saying "P(3 or odd)" is the same as just saying "P(odd)"
Answer: Choice A. 1/2
A and b are independent events. the probability that a will happen is 1/4 and the probability that b will happen is also 1/4. what is the probability they will both happen?
Answers
1/4*1/4=1/16
For independent events A and B, the probability of both happening is the product of their individual probabilities. In this case, the probability of both A and B happening is 1/16.
Explanation:In the field of probability in mathematics, when dealing with independent events like A and B in your question, the probability of both A and B happening (denoted as P(A AND B)) is calculated by multiplying the probability of A happening (P(A)) by the probability of B happening (P(B)) This is known as the multiplication rule for independent events.
So, if the probability that A will happen (P(A)) is 1/4, and the probability that B will happen (P(B)) is also 1/4, then the probability that both A and B will happen (P(A AND B)) is (1/4) * (1/4) = 1/16.
Learn more about Probability of Independent Events here:https://brainly.com/question/30635387
#SPJ3
Anybody know the answer to this question?
Answers
15 min left! Anyone know this geometry question?
Answers
A test was marked out of 80. A boy scored 60% of the marks on the test. How many marks did he score?
Answers
This can be found by simply multiplying 80 by 60% (0.6). This will give you your rinal answer of 48.
I hope this helps!
a ice cream shop offers 5 different flavors of ice cream and 12 different toppings how many choices are possible for a single serving of ice cream with one topping
a. 18
b. 22
c. 46
d. 60
PLZ HELP
Answers
Answer:
D)60
Step-by-step explanation:
All you do is multiply 5 by 12.
5x12=60
The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.
When the large prism was reduced, the surface area changed by a factor of
A.64/125
B.16/25
C.4/5
D.10/8
Answers
Answer: B. [tex]\frac{16}{25}[/tex]
Step-by-step explanation:
We know that if a figure or solid shape is dilated to create a new shape then the new shape is similar to the original shape.
Also, the scale factor of dilation is the ratio of the sides of new shape to the corresponding sides of the original shape .
Let k be the scale factor of dilation, then
Given : Original shape - larger prism
New shape - smaller prism
Surface area of prism with all sides equal (a)=[tex]4a^2[/tex]
Surface area of original prism =[tex]4(10)^2=400[/tex]
Surface area of new prism =[tex]4(8)^2=256[/tex]
[tex]\Rightarrow k=\frac{256}{400}=\frac{16}{25}[/tex]
Hence, the scale factor = [tex]\frac{16}{25}[/tex]
Using differentiation from first principles, prove that the gradient of the line y=mx + c is m
Answers
[tex] \frac{dy}{dx} = m[/tex]
because when you differentiate, only the constant of the x remains (which is m in this case), and c being another constant independent of x, is 0 when differentiated. hence, since dy/dx is the gradient of the line, m is therefore the gradient
Write an equation of the direct variation that includes the point (6, –2). y = –3x
Answers
Answer:
-1/3x is the answer
Step-by-step explanation:
Do the problem.
An equation of the direct variation that includes the point (6, –2) is y = -1/3(x).
What is a direct variation?In Mathematics, a direct variation is also referred to as direct proportion and it can be modeled by using the following mathematical expression or function:
y = kx
Where:
y represents the y-variable or dependent variable.x represents the x-variable or independent variable.k represents the constant of proportionality.Under direct variation, the value of x represent an independent variable while the value of y represents the dependent variable. Therefore, the constant of proportionality (variation) can be calculated as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = -2/6
Constant of proportionality (k) = -1/3
Therefore, the required equation is given by;
y = kx
y = -1/3(x)
Read more on direct variation here: brainly.com/question/15785278
#SPJ3
What is the value of x
Answers
x = 16.
Someone please help me?
Answers
(4 + ED) * 4 = (4+5) *5
(4 + ED) * 4 = 45
4ED +16 = 45
4ED = 29
ED = 29/4 = 7.25
AD = AE + ED
AD = 4 + 7.25
AD = 11.25
Answer is A
Food costs are expected to rise 6% each month for the next year. which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month? $150.00 + $159.00 + $168.00 $150.00 + $159.00 + $168.54 $159.00 + $168.00 + $177.00 $159.00 + $168.54 + $178.65
Answers
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n
Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54
The second option is correct.
D. $159.00 + $168.54 + $178.65
what does –x2 – 6x – 8 look like on a graph
The 2 is a power
Answers
I hope this helps!
what is the 14 letter word with the definition of an example showing a statement is not true. it is c--n-e-t--m-l-
Answers
Your second t is incorrect.
It should be an e.