Answer:
a) The ratio of height is 2:15
b) The ratio of surface area is 4:225
c) The ratio of volume is 8:3375
Step-by-step explanation:
The scale factor of model to original is 2 :15
Please remember the concept, when scale factor is a:b
Then ratio of sides would be same a:b
The ratio of surface area is [tex]a^{2} :b^{2}[/tex]
The volume is [tex]a^{3} :b^{3}[/tex]
According to the concept,
The ratio of height is 2:15
The ratio of surface area is [tex]2^{2} :15^{2}[/tex] =4:225
The ratio of volume is [tex]2^{3} :15^{3}[/tex] =8 :3375.
In the year 2006, a person bought a new car for $24000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2010, to the nearest hundred dollars?
Answer:
$15,746.400
Step-by-step explanation:
The computation of the car value in the year 2010 is shown below:
Since the new car brought in the year of 2006 at $24,000
And, it would be depreciation by 10%
So, in the year 2010 the car value would be
= $24,000 × (1 - 0.10)^4
= $24,000 × 0.9^4
= $15,746.400
A box has a volume of 20 cubic inches. If the base has dimensions of 2 inches by 4 inches, what is the height of the box?
Answer:
h = 2.5 in
Step-by-step explanation:
v = bwh
20 = 2x4xh
h = 2.5 in
what is the value of 8 to the 4th power
Answer:
8 x 8 x 8 x 8 = 4096
Step-by-step explanation:
Its an exponent which means you multiply 8 by itself 4 times to get 4096.
In AVWX, v = 21 cm, w = 64 cm and X=23°. Find the length of x, to the nearest
centimeter.
Answer:45cm
Step-by-step explanation:delta
solve for x
a) -11
b) -10
c) 11
d) 10
find the value of given expression
[tex] \sqrt{66 + 15} [/tex]
Answer:
9
Step-by-step explanation:
Hope this helps, let me know if im correct
Answer:
√{66+15}=√81=√9²=±9 is your answer
Evaluate 18 + 2y, when y= 7
Answer:
32
Step-by-step explanation:
18 +2(7).
2 x 7 = 14
18 + 14 = 32.
Marks books has an area of 48 in.². The perimeter of the book is 52 inches. what are the dimensions of the book
Answer:
dimensions of the book are 2 in. by 24 in.
Step-by-step explanation:
I assume the book is a rectangle
Let w = the width
l = the length
A = lw = 48 P = 2w + 2l = 52
w + l = 26
l = 26 - w
w(26-w) =48
26w - [tex]w^{2}[/tex] = 48
[tex]w^{2} - 26 w + 48 = 0[/tex]
(w-2)(w -24) = 0
w = 2 or w = 24
if w = 2, then l = 26 - 2 = 24
if w = 24, then l = 26 - 24 = 2
So, the dimensions of the book are 2 in. by 24 in.
Evaluate the expression when y = 6 and x = 9
x+8y
Answer:
57
Step-by-step explanation:
9+8(6)
9+48
57
Answer:
57
Step-by-step explanation:
8*6=48
9+48=57
Find 5 less than 17.
fleas have six legs are five fleas on the dog in 3 fleas on the cat how many legs are there altogether
Answer: 90
Step-by-step explanation:
Answer:
48 legs
Step-by-step explanation:
5 times 6 equals 30
3 times 6 equals 18
Question
Type the forest answer in the box
A pack of 12 sedas costs $5,04 What is the unit rate in dollars per soda/
The unit rate in dollars per soda is
steps for gcf of 40x, 60x
Answer:
20x
Step-by-step explanation:
1) Identify commonalities in the numbers at hand (x + 40 divisible by 1, 2, 4, 5, 8, 10, 20, 40 and 60 divisible by 1,2,3,4,5,6,10,12,15,20,30,60) overlap is x and 1,2,4,5,10,20) 20 is the highest factor and x is the only factor.
2) put them together GCF: 20x
The length of a guys wire supporting a cell tower is 120 meters. The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower . To the nearest hundredth of a meter , how tall is the tower ?
Answer: 89.4427
Step-by-step explanation: I apologize if I am wrong; I used Pythagorean Thyreom, and I used the formula a=√c^2-b^2 since we are solving for side a.
a=√120^2−80^2
a=√14400−6400
a=√8000
a=89.4427
I hope this is what you are looking for :)
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the height of the tower is 89.44 m.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The length of a guy's wire supporting a cell tower is 120 meters.
The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower.
We know that the Pythagoras theorem.
[tex]\rm H^2 = P^2 + B^2[/tex]
We have
H = 120 m
B = 80 m
Then by the Pythagoras theorem, we have
[tex]\rm P = \sqrt{H^2 - B^2}\\\\P = \sqrt{120^2 - 80^2}\\\\P = \sqrt{14400 - 6400}\\\\P = \sqrt{8000} = 89.44[/tex]
Thus, the height of the tower is 89.44 m.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
solve for 65+5x and please show work :)
Answer:
If it were supposed to be a factor, 15 ( 3 + x )
Step-by-step explanation:
5 ( 13 + x )
5 x 13 = 65
5 times x = 5x
So you'd add them both,
65 + 5x
I don't think you can get an exact answer for it.
Also in order for me to solve for x, if that's what you are trying to find. You need to give me a (y) to make it into a slope intercept form.
A certain bacteria can double in 6 hours. How long will it
take the bacteria to increase from 20 to 140? (Hint: First find
the constant k)
Answer:
it can go to 160 on in 18 hours so the the answer could be 26 hours
what's the answer ?
[tex] \frac{ \sqrt{225} }{ \sqrt{} 25} [/tex]
Answer:
Hello.....
15/5
Step-by-step explanation:
thanks
Answer:
3
Step-by-step explanation:
here's your solution
=>. first u have to find out the root of 225
which is 15
=> and also root of 15 which is 5
=> now,we have to divide 15 by 5
=> hence, answer is 3
hope it helps
Round 0.731 to the nearest hundredth.
Answer: 0.73
Step-by-step explanation:
Answer:0.73
Step-by-step explanation: none the answer is right
I’ll give Brainliest I need help please & thanks
plss. pa answers ?
thanks po
Answer:
Graph 3Line starting at x = -2
Domain: x ≥ -2Range: y ≥ 0Graph 4Vertical line
Domain: x = 3Range: y = any real numberGraph 5Quadratic function with negative leading coefficient and max value of 3
Domain: x = any real numberRange: y ≤ 3Graph 6Curve with non-negative domain and min value of -2
Domain: x ≥ 0Range: y ≥ -2Graph 7Line with no restriction
Domain: x = any real numberRange: y = any real numberGraph 8Quadratic function with positive leading coefficient and min value of 4
Domain: x = any real numberRange: y ≥ 4Graph 9Parabola with restriction at x = -4
Domain: x = any real number except -4Range: y = any real numberGraph 10Square root function with star point (2, 0)
Domain: x ≥ 2Range: y ≥ 0Question 6
An environmental group volunteers to pick up trash along a road that is
Brady's claim correct?
milelong. The volunteers divide the road to 4 sections adams that each section of the roads
5
4
Yes How
Answer:
23
Step-by-step explanation:
is the answer to the problem
here is another math thingy
Answer:
17 mi
Step-by-step explanation:
170/10=17
Answer:
17
Step-by-step explanation:
170 divided by 10 = 17
Double check: 17 x 10 = 170 (area).
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
Which trinomials are perfect square trinomials?
Select each correct answer.
O y2 + 18y + 81
O y2 + 20y + 100
O y2 + 25y + 200
Oy + 6y + 36
Apply the Pythagorean Theorem to find the distance between points A and C
A: 29 units
B: 40 units
C: 58 units
D: 116 units
Answer:
c 116
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
Can someone please help me !!
Answer:
(3a + 2)(a + 3)
Step-by-step explanation:
what is the perimeter?
Answer:
40 yards
Step-by-step explanation:
I think this is correct
Answer:
perimeter is the length of the outside shape
A pond contains 3,000,000 liters of water. How is this number written in scientific notations?
So bassically I have to write this as it is too short, but the answer is = 3 x 10^7
The given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].
Given that, a pond contains 3,000,000 liters of water.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.57×10³.
The given number written in scientific notations is
3,000,000 = [tex]3\times10^6[/tex]
Therefore, the given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].
To learn more about the Scientific notation visit:
https://brainly.com/question/18073768.
#SPJ2
The sum of two numbers is 68. Their difference is 15. Write a system of equations you could use to solve this problem.
Answer:
x+y=68
x-y=15
Step-by-step explanation:
A "sum" means that we will be using addition, while a "difference" indicates subtraction. Anytime we have two unknown numbers we generally use "x" and "y".
What is the area of the polygon in square units?
Answer:
(d) 80 square units
Step-by-step explanation:
As with many composite area problems, this can be worked any of several ways. The attached shows trapezoid ABCE, from which triangle CDE can be removed to get the desired area.
The relevant formulas are ...
A = (1/2)(b1 +b2)h . . . . . . area of a trapezoid
A= (1/2)bh . . . . . . . . . . . . area of a triangle
__
Here, the trapezoid has bases 12 and 2, and height 12, so its area is ...
A = (1/2)(12 +2)(12) = 84 . . . . square units
The triangle has a base of 4 and a height of 2, so its area is ...
A = (1/2)(4)(2) = 4 . . . . square units
Then the area of the desired figure is ...
84 - 4 = 80 . . . . square units
What is the perimeter of the triangle below?
O 30
015
0 42
O 35