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Tasya [4]
4 years ago
5

al made a treehouse last summer. He started by making a model. the model included a window with height 1/3 inch. and width 1/6 i

nch. the actual tree house window had height of 1/2 yd. and width 1/4 yd. al incorrectly said that the ratio of the height of the window in the model to the height of the window in the tree house was 3/2. what was the correct ratio?
Mathematics
1 answer:
IrinaK [193]4 years ago
4 0

Answer:

27

Step-by-step explanation:

You might be interested in
Not sure how to work this
dalvyx [7]

Answer:

First ordered pair: (-4,-3)

Second ordered pair: (8,3)

Step-by-step explanation:

To find the missing coordinate, all we have to do is to plug it into the corresponding variable and solve.

First Ordered Pair

x-2(-3)=2                                   [multiply -2 and -3]

x+6=2                                       [subtract 6 on both sides]

x=-4

(-4,-3)

Second Ordered Pair

8-2y=2                                      [subtract 8 on both sides]

-2y=-6                                       [divide both sides by -2]

y=3

(8,3)

5 0
4 years ago
A camera shop stocks eight different types of batteries, one of which is type A76. Assume there are at least 31 batteries of eac
Sauron [17]

Answer: 12,620,256

Step-by-step explanation:

Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.

Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is ^{n+r-1}C_r=\ ^{31+8-1}C_{31}

=^{38}C_{31}=\dfrac{38!}{31!(38-31)!}\\\\=\dfrac{38!}{31!7!}\\\\=\dfrac{38\times37\times36\times35\times34\times33\times32\times31!}{31!\times5040}\\\\=12620256

Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256

3 0
3 years ago
Write the following ratio in their simplest form (a)150minutes:1 1/2 hours (b) 150cm:1060mm ​
spayn [35]

Answer:

a) 5:3

b) 7.5:5.3

Step-by-step explanation:

150min : 90min (1 and a half hour)

10 : 6

5 : 3

150 × 10 mm : 1060 mm

1500 : 1060

750 : 530

7.5 : 5.3

7 0
2 years ago
Write a number that is greater than 8.604 but less than 8.643
Aliun [14]
8.605
This number is bigger than 6.604 and it is smaller than 8.643
:)
6 0
4 years ago
Read 2 more answers
Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k
Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

7 0
3 years ago
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