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Igoryamba
2 years ago
5

How do I solve an inequality with fractions? Example:

Mathematics
2 answers:
Leni [432]2 years ago
5 0

Answer: elimanate, simplify, add or subtract

Step-by-step explanation: you first eliminate your fractions by multiplying all terms by the least common denominator of all fractions.

next you Simplify by combining like terms on each side of the inequality.

then you Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Yuki888 [10]2 years ago
3 0
Here you go have a nice day <3

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In triangle DEF. DF = 16 and m&lt;F = 45Find the length of a leg. Leave your answer in simplest radical form.
kotegsom [21]
I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle  = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
 hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
6 0
3 years ago
Can someone help me out?
stira [4]

Answer:

  40 degrees

Step-by-step explanation:

A triangle solver tool can find the angle easily. It is 39.8°, which rounds to 40°. Apps are available on some calculators, on the Internet, and for iOS and Android phones and tablets.

___

You may be expected to solve this using the Law of Cosines. If we name the sides ...

  • a = 1.75
  • b = 3.00
  • c = 2.00

the law of cosines tells us the relationship is ...

  c² = a² + b² -2ab·cos(θ)

Then the angle is ...

  θ = arccos((a² +b² -c²)/(2ab)) = arccos((3.0625 +9 -4)/(2·1.75·3))

  = arccos(8.0625/10.5) ≈ 39.838° ≈ 40°

4 0
2 years ago
In January, Jamie pays $2.00 for a tube of toothpaste.
mariarad [96]

Answer:

12% or 13% rounded

Step-by-step explanation:

.25 of 2.00 is .125 or 12% or 13% rounded

3 0
2 years ago
3. Find f[h(a+4)], given the functions below. *
mote1985 [20]

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8

h(a+4)

This function is:

h(a+4) = (a+4)^2 + 6(a + 4) + 8

h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8

h(a+4) = a^2 + 14a + 48

f[h(a+4)]

f(x) = 5x

Thus

f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240

The correct answer is given by option C.

8 0
2 years ago
Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 r
Delvig [45]

Answer:

  y – 3 = 2(x – 10)

Step-by-step explanation:

In point-slope form, the equation is written ...

  y -k = m(x -h) . . . . . . . for line with slope m through point (h, k)

If only the slope changes, only the value just outside parentheses changes. When the point is (10, 3) and the new slope is 2, the new equation is ...

  y -3 = 2(x -10)

6 0
3 years ago
Read 2 more answers
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