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scoundrel [369]
2 years ago
5

A Number Divided by 4 less than 6

Mathematics
1 answer:
Ierofanga [76]2 years ago
5 0
A number that can be divided by 4 that is less than 6 is 4 itself. After dividing 4 by 4, you will end up with 1.
You might be interested in
The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side
snow_tiger [21]

Answer:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

Step-by-step explanation:

Represent:

  • The opposite with a
  • The adjacent with b
  • The hypotenuse with c

Given that:

c = 1 + a

c = 4 + 3b

Required

Solve for a, b and c

c = c

So, we have:

1 + a = 4 + 3b

Subtract 1 from both sides

a = 4 -1 + 3b

a = 3 + 3b

Apply Pythagoras Theorem

c^2 = a^2 + b^2

Substitute 3 + 3b for a and 4 + 3b for c

(4 + 3b)^2 = (3 + 3b)^2 + b^2

Open brackets

16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2

16 + 24b+9b^2 = 9 + 18b+10b^2

Collect Like Terms

10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0

b^2 - 6b -7 = 0

Expand

b^2 +b-7b-7=0

Factorize:

b(b+1)-7(b+1) =0

(b-7)(b+1) = 0

Split:

b - 7 = 0\ or\ b+1=0

b = 7\ or\ b=-1

But the adjacent of a triangle can't have a negative measurement.

So:

b = 7

Recall that:

c = 4 + 3b

a = 3 + 3b

Substitute 7 for b in the above expressions

c = 4 + 3 * 7

c = 4 + 21

c = 25

a = 3 + 3 * 7

a = 3 + 21

a = 24

Hence, the dimensions of the triangle are:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

5 0
3 years ago
Help please I will give you the brainliest
ioda

Answer:2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
How to solve a one step equation of R+3= -6 1/2 <br> please show all the work
IgorC [24]
Solve for R:
R + 3 = -(1/2 + 6)
Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = (2×6)/2 + 1/2:
R + 3 = -(2×6)/2 + 1/2
2×6 = 12:
R + 3 = -(12/2 + 1/2)
12/2 + 1/2 = (12 + 1)/2:
R + 3 = -(12 + 1)/2
12 + 1 = 13:
R + 3 = -13/2
Subtract 3 from both sides:
R + (3 - 3) = -13/2 - 3
3 - 3 = 0:
R = -13/2 - 3
Put -13/2 - 3 over the common denominator 2. -13/2 - 3 = (-13)/2 + (2 (-3))/2:
R = (-13)/2 - (3×2)/2
2 (-3) = -6:
R = (-6)/2 - 13/2
(-13)/2 - 6/2 = (-13 - 6)/2:
R = (-13 - 6)/2
-13 - 6 = -19:
Answer:  R = (-19)/2
6 0
3 years ago
The area of 5 centimeters long and 4 centimeters wide
slega [8]
Area= length * width

Area= 5*4

Area= 20

I hope this helps!
~cupcake
3 0
3 years ago
Read 2 more answers
At the beginning of mathematics class, Mrs. Reno gives a warm-up problem. She says, "I am think of a number such that 6 less tha
Eduardwww [97]
7x - 6 = 85
7x = 85 + 6
7x = 91
x = 91/7
x = 13......Mrs. Reno is thinking of 13...thats just creepy
5 0
2 years ago
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