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MatroZZZ [7]
2 years ago
12

What is the answer to this question?

Mathematics
1 answer:
kenny6666 [7]2 years ago
8 0

Answer:

From the information we can conclude that the triangle is a isosceles triangle.

First, we can calculate the hypotenuse by using pythagorean theorem:

√(6² + 6²) = √(36 + 36) =√64 = 8 (cm)

To calculate the area of the triangle, we first need to know the height of it.

Since this is a isosceles triangle, the altitude (which is also the height) will also  be the median of that triangle.

Then we also have a 90° angle, this triangle is also a right triangle, and in right triangle, the median will equal half of the hypotenuse.

From the reasoning above, we can now calculate the height of the triangle:

8/2 = 4(cm)

The area of the triangle should be:

S = hb/2 = (4 . 6)/2 = 12 (cm²)

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Simplify the square root of 3 times the fifth root of 3.
bogdanovich [222]

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

\sqrt{3\sqrt[5]{3} }

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

\sqrt[n]{x^{m}}=x^{\frac{m}{n}}

Applying the property, we have:

\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}

Now, we multiply exponents:

(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}

Then, we sum exponents to get the simplest form:

3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}}  \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }

Therefore, the right answer is <em>three to the three fifths power.</em>

3 0
3 years ago
Read 2 more answers
Jacob's favorite movie is 1 5/6 hours long. He says he has watch the movie 5 and a half times. If that is true. How many hours h
34kurt
1\frac{5}{6}=\frac{11}{6}, and when you multiply it by 5 it turns into \frac{55}{6}, which is 9\frac{1}{6}

So in conclusion he watched 9 & 10 minutes watching the movie
3 0
3 years ago
In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.
yan [13]

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average <em>rate of change</em> is <em>slope</em>.

Step-by-step explanation:

The average rate of change of the cost of a pack (r), in monetary units per year, is equal to the change in the average cost of a pack (\Delta c), in monetary units, divided by the change in time (\Delta t), in years. Then, the average rate of change is:

r = \frac{\$\,5.31-\$\,0.88}{2000-1980}

r = \$\,0.22\,\frac{1}{yr}

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average <em>rate of change</em> is <em>slope</em>.

8 0
3 years ago
What number represents 125638 rounded to the nearest hundred
Evgen [1.6K]
The number is 127000...
6 0
3 years ago
Read 2 more answers
Determine whether the following statement is true or false.
fenix001 [56]

Answer:

Step-by-step explanation:

No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.

Correctly stated the equation should read f(x) = (x + 2)^2 + 4

As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation

x + 2 = 0

x = - 2

That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.

3 0
2 years ago
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