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2 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics

1 answer:

anzhelika [568]2 years ago

7 0

Answer:

x= 3sqrt2 y=3

Step-by-step explanation:

The triangle is isosceles triangle, which means 2 sides are congruent. Therefore, y =3

using the pythagorean theorem,

3^2+3^2=x^2

9+9=x^2

18=x^2

x=18 sqrt

3sqrt2

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A) Rationalise the denominator of 20/root 10 Give your answer in its simplest form.

denis-greek [22]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\bigstar \boxed{\large\bf{\leadsto 2\sqrt{10}}}$

__________________________________________

$\large\bf{Here,}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{⟹\frac{20}{\sqrt {10}}}$

❒ Multiply the numerator and denominator by $\bf{\sqrt{10}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{⟼\frac{20}{\sqrt{10}}\times\frac{\sqrt{10}}{\sqrt{10}}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{⟼\frac{20\sqrt{10}}{(\sqrt{10})^2}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{⟼\frac{20\sqrt{10}}{10}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large\bf{⟼2\sqrt{10}}$

5 0

2 years ago

Read 2 more answers

A 22-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 19 fe

-BARSIC- [3]

Answer:

3 Feet

Step-by-step explanation:

The reason why it is 3 Feet is that 22 - 19 = 3. (Another anwser is 19 + 3 = 22)

5 0

2 years ago

. How many solutions does this system of equations have? y = 4x - 2. y = 4x +5 *

defon

Answer:

No solutions

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

3 0

2 years ago

4. Ashley claims that if she triples the side length of a square (s), the area of the square will also be tripled. Do you agree?

stepladder [879]

Answer :-

Let the side of the square measure a cm, thus, according to the question,

New length = 3(a cm)

We know that,

➭ Area ( Square ) = a²

Thus, the area of the square with normal length i.e. a cm, will be,

⤳ Area = a x a

⤳ Area = a²

Now, by taking the new length, the area will become,

⤳Area = 3a x 3a

⤳ Area = 9a²

Now,

We observe that, if we divide these, we get,

➤ 9a²/a²

( a² will get canceled since its common )

Thus, the ratio becomes,

➭ 9 : 1 = Area square with tripled length : Area of square

Thus, the area will increase by 9 times, and not 3.

Hence, Ashley's assumptions are wrong.

5 0

2 years ago

What is the slope of the line that passes through the points (-9, -3) and (1, -3)?

anastassius [24]

Answer:

The slope is 0.

Step-by-step explanation:

m= (y2-y1)/(x2-x1).

y2 is -3, y1 is -3.

x2 is 1 and x1 is -9.

m= -3 -(-3)/ 1- (-9)

m= 0/10

m=0

8 0

3 years ago