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Nina [5.8K]
4 years ago
10

Make a conjecture about the relationship between a and b if ab=1

Mathematics
1 answer:
Tju [1.3M]4 years ago
7 0
Conjecture that a and b are reciprocals
Also conjecture that a and b have the same sign
Conjecture that  if a > 1 then b < 1

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A 10-ft-long slide is attached to a deck that is 5 ft high. Find the distance from the bottom of the deck to the bottom of the s
drek231 [11]
Using Pythagorean theorem, the answer should be 8.7ft
6 0
4 years ago
Need some help with these problems!
LekaFEV [45]

Answer:

<em>h=12, w=24, t=8</em>

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being  

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

\displaystyle w=2h

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

\displaystyle t=h-4

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

\displaystyle 3w+2h+5t=136

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

\displaystyle 3(2h)+2h+5(h-4)=136

Operating

\displaystyle 6h+2h+5h-20=136

\displaystyle 13h=156

Solving for h

\displaystyle h=12

The other two variables are

\displaystyle w=2h=24

\displaystyle t=12-4=8

4 0
4 years ago
The LCD of 2/5, 3/2, and 1/2 is
soldier1979 [14.2K]

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10

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the lowest number that 5 and 2 go into is 10 a quick way to find LCD is just to multiply the denominators and that just see if there is any smaller numbers

7 0
3 years ago
In ΔABC, which trigonometric ratio equals 32?
Nezavi [6.7K]
The given answer should be "3/2", its because "32" is not possible in anyway.. 

tan C = sin C / cos C

Where sin C = 3 / 3.61

And

cos C = 2 / 3.61

Now

tan C = (3 / 3.61) / (2 / 3.61) = (3 / 3.61) x (3.61 / 2) = 3 / 2

<span>Thus tan C is the correct choice.   </span>

6 0
3 years ago
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