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Reptile [31]
2 years ago
9

Find all possible values of x if these represent side of a triangle 2x,5-x,4

Mathematics
1 answer:
3241004551 [841]2 years ago
7 0

Answer:

  • -1/3 < x < 3 or x = (-1/3, 3)

Step-by-step explanation:

<u>Given sides of a triangle:</u>

  • 2x, 5 - x, 4

<u>Triangle inequality theorem:</u>

  • Any side is smaller than the some of the other two.

<u>Apply to the given triangle:</u>

  • 2x + 5 - x > 4 ⇒ x > -1
  • 2x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/3
  • 5 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3

<u>Combine all the inequalities:</u>

  • -1/3 < x < 3
  • x = (-1/3, 3)
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Eva8 [605]
5 cups & 4 teaspoons
? cups & 6 teaspoons


2.5 cups is half of 5
2 is half of 4

you increased the recipe by 1/2

so for 6 teaspoons you will need 7.5 or 7 1/2 cups of flour b/c 5 + 2.5 = 7.5

ANSWER: 7 1/2
4 0
2 years ago
If hoan was asked to drow a right angke how miny right agnkes are in a right angle
krek1111 [17]

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3 years ago
1. Determine the measure of the unknown angles indicated by letters. Justify your answers with
Maurinko [17]

Answer:

hello,

Step-by-step explanation:

a)

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42+2a=180

2a=180-42

a=69(°)

b)

in a triangle, an external angle has for measure the sum of the angles not adjacents.

55+b=132

b=77 (°)

c)

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7 0
2 years ago
Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g
eimsori [14]

If the given differential equation is

\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1

then multiply both sides by \frac1{\cos^2(x)} :

\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)

The left side is the derivative of a product,

\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)

Integrate both sides with respect to x, recalling that \frac{d}{dx}\tan(x) = \sec^2(x) :

\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx

\sin(x) y = \tan(x) + C

Solve for y :

\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}.

7 0
2 years ago
Please help me with this question I’m so confused
zavuch27 [327]

s = ut +  \frac{1}{2} a {t}^{2}  \\ s = 10( \frac{1}{2} ) +  \frac{1}{2} ( - 2) {( \frac{1}{2}) }^{2}  \\ s = 10( \frac{1}{2} ) +  \frac{1}{2} ( - 2)(  \frac{1}{4} ) \\ s = 5 + ( - 1)( \frac{1}{4} ) \\ s = 5 + ( -  \frac{1}{4} ) \\ s = 5 -  \frac{1}{4}  \\ s =  \frac{20}{4}  -  \frac{1}{4}  \\ s =  \frac{19}{4}

Hope it helps

Please give brainliest

4 0
2 years ago
Read 2 more answers
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