All categories

3 years ago

The base of an isosceles triangle is 7 cm longer than the legs. Find the legs if the perimeter of the triangle is 43 cm.

2 answers:

8 0

An isosceles triangle is a triangle that has one pair of equal sides. The Formula in finding the perimeter of a triangle is PΔ=S₁+S₂+S₃. Since two legs are missing, and the given are the base and perimeter, we will use the formula : S₁+S₂ = PΔ-S₃, where: S₁+S₂ are the legs and S₃ is the base.
Substitute values:
S₁+S₂ = 43cm - 7 cm
 = 36 cm
since S₁ and S₂ are equal, divide 36cm by 2. Therefore S₁ and S₂ measures 18cm.
Check: PΔ=S₁+S₂+S₃
 = 18cm + 18 cm + 7cm
= 43cm

Nataly_w [17]3 years ago

5 0

Answer:

121

Step-by-step explanation:

legs are x but base is x+7

x+x+x+7 is perimeter = 43

3x+7=43

3x=36

x=12

You might be interested in

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify

irina [24]

Answer:

x-coordinates of relative extrema = $\frac{-1}{2}$

x-coordinates of the inflexion points are 0, 1

Step-by-step explanation:

$f(x)=6x^{\frac{1}{3}}+3x^{\frac{4}{3}}$

Differentiate with respect to x

$f'(x)=6\left ( \frac{1}{3} \right )x^{\frac{-2}{3}}+3\left ( \frac{4}{3} \right )x^{\frac{1}{3}}=\frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}$

$f'(x)=0\Rightarrow \frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}=0\Rightarrow x=\frac{-1}{2}$

Differentiate f'(x) with respect to x

$f''(x)=2\left ( \frac{-2}{3} \right )x^{\frac{-5}{3}}+\frac{4}{3}x^{\frac{-2}{3}}=\frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}\\f''(x)=0\Rightarrow \frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}=0\Rightarrow x=1$

At x = $\frac{-1}{2}$ ,

$f''\left ( \frac{-1}{2} \right )=\frac{4\left ( -1+4\left ( \frac{-1}{2} \right ) \right )}{3\left ( \frac{-1}{2} \right )^{\frac{5}{3}}}>0$

We know that if $f''(a)>0$ then x = a is a point of minima.

So, $x=\frac{-1}{2}$ is a point of minima.

For inflexion points:

Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.

So, x-coordinates of the inflexion points are 0, 1

7 0

3 years ago

I give up.. please don’t just answer for points PLEASEE HELP MEEE if u get it right then i swear i owe you a brainliest :P

Ipatiy [6.2K]

Answer:

B. or C.

Step-by-step explanation:

- hope this helps

5 0

3 years ago

Read 2 more answers

I have 2 fewer sides than a polygon

grin007 [14]

Answer:

You are most likely a right triangle.

Step-by-step explanation: A polygon with 5 sides is the pentagon. A square has 4 angles, so with this, I can already tell that it is a triangle if it has 3 angles, (one less than a square). Then it says that it has 1 right angle. This would make the triangle a right. I hope this helps.

3 0

3 years ago

I need help with a Box method problem I don't know how to do them

horrorfan [7]

Sure where is the problem

6 0

2 years ago

Read 2 more answers

Write an equation for the line With a slope of -3 and a y-intercept of 1 ________

pashok25 [27]

y=-3x+1 is the equation

3 0

2 years ago