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Y_Kistochka [10]
3 years ago
6

The diagonals of a square are 4 meters long. The side of this square is equal to the diagonal of a second square. Find the side

of the second square.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0
Check the picture below.

since the second figure is also a square, then the sides touching the diagonals have to be all equal, and that'd only happen if those sides bisects the larger square's diagonal.

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4(-4x - 3) > 36 with the steps
Sergeu [11.5K]

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

​Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3

5 0
3 years ago
Read 2 more answers
Solve the equation -25+4y=35
borishaifa [10]
-25+4y=35
*Subtract 35*
-25+4y-35=0
*add 25 (to cancel out)*
4y-35=25
*add 35 (to cancel out)*
4y=60
*Divide by 4 to get y on its own*
y=15
Hope this helps :)
6 0
3 years ago
Read 2 more answers
The sum of two numbers is -6. The difference is 16. Find the two numbers.
Bess [88]

Answer:

-5\:\mathrm{and}\: 11

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}x+y=6\\x-y=16\\\end{cases}

Adding both equations together, we isolate x and get:

2x=22,\: x=11

Plugging x=11 in any of the equations, we can solve for y:

11+y=6,\: y=-5

Verify that the solution pair (11, -5) works \checkmark

Therefore, the two numbers are \fbox{$-5\:\mathrm{and}\: 11$}.

7 0
3 years ago
Craig’s school has 4 lessons in the morning lessons 1 starts at 8:35 each lesson is 60 minutes long there is a break between les
jasenka [17]

Answer:

12:50 PM.

Step-by-step explanation:

We have been given that Craig’s school has 4 lessons in the morning and lesson 1 starts at 8:35. Each lesson is 60 minutes long. There is a break of 15 minutes between lesson 2 and 3.

We can see that lesson 1 will end at 9:35 AM and second lesson will end at 10:35 AM.

We have been also given that there is a break for 15 minutes between lesson 2 and 3. So third lesson will start at 10:50 AM as lunch break will end at 10:50 AM.

Third lesson will end 60 minutes after 10:50 AM that is 11:50 AM and fourth lesson will end 60 minutes after 11:50 AM that is 12:50 PM.

Therefore, 4th lesson will end at 12:50 PM.    

6 0
3 years ago
A chemist recorded the change in temperature of a cooling liquid as −25.5°f over a 1.5 minute period. the temperature fell at a
sineoko [7]
Rate of change <span>a </span>rate<span> that describes how one quantity </span>changes<span> in relation to another quantity. It is also called the slope. To calculate the rate of change in temperature, we use the expression:

Rate of change = change in temperature / change in time
</span>Rate of change = -25.5 / 1.5
Rate of change = -17 °C / min

The negative sign signifies a drop in temperature per minute.
4 0
3 years ago
Read 2 more answers
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