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larisa86 [58]
3 years ago
7

The length of the window is 2m longer than its width and the area is 32m^

Mathematics
1 answer:
eimsori [14]3 years ago
4 0

Answer:

X¹= -2 + 2√33

X²= -2 - 2√33

Step-by-step explanation:

X × (X+2) = 32

X² + 2X = 32

X² + 2X - 32= 0

Δ=132

X= -2 ± 2√33

X¹= -2 + 2√33

X²= -2 - 2√33

(You can change the 2√33 to 11,5 if you want to)

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3 years ago
Find the area of the rhombus
fenix001 [56]

Check the picture below.

since in a rhombus the diagonals bisect each other, thus EC = EA.

now, the rhombus is simply 4 congruent triangles, we know the base and height of one of them, thus

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7 0
3 years ago
here are 1515 people in an office with 55 different phone lines. If all the lines begin to ring at once, how many groups of 55 p
Mashcka [7]

Answer:

360,360 groups of 5 people.

Step-by-step explanation:

We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.

We will use fundamental principle of counting to solve our given problem.

There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.

Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.

There are 11 people to answer 5th call.

So 5 lines can be answered in 15\times 14\times 13\times 12\times 11=360,360 ways.

Therefore, 360,360 groups of 5 people can answer these lines.

6 0
3 years ago
Ali hops on his 3 wheeler and heads off at 12 mph. Two hours later, Fatimah chases after him on a moped at 18 mph. How far will
mash [69]

Answer: 72 miles.

Step-by-step explanation:

We know the relationship:

Distance = speed*time.

Then we can write the equation for distance as a function of time for Ali as:

A(t) = 12mph*t

where t is time in hours.

Fatimah's equation will be:

F(t) = 18mph*(t - 2h)

where the -2h appears because she starts two hours after Ali.

Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)

Then we need to solve:

12mph*t = 18mph*(t - 2h)

12mph*t = 18mph*t - 18mph*2h

12mph*t = 18mph*t - 36 mi

36 mi = (18mph - 12mph)*t

36mi = 6mph*t

36mi/6mph = t

6h = t

So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:

A(6h) = 12mph*6h = 72 mi

3 0
2 years ago
4x+1 ,3x find the value of x
In-s [12.5K]
I'm assuming that you meant 4x+1=3x?

Subtracting 4x, we get 1=-x.  Multiplying by -1, we get x=-1 as the solution.
6 0
3 years ago
Read 2 more answers
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