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tigry1 [53]
3 years ago
12

Solve for x. leave the answer in simplest radical form

Mathematics
1 answer:
WINSTONCH [101]3 years ago
8 0

Answer:

\sqrt{120}

Step-by-step explanation:

These are right triangles, remember<em> Pythagoras theorem?</em>

<em />

<em />a^{2}+ b^{2}= c^{2}<em />

<em />

"a" and "b" refer to the legs of the triangle, and "c" is the longest side, the one opposite to the right angle, the hypotenuse.

So, we need to find one leg, and we have a side and a hypotenuse.

Replace the values in the equation:

9^{2} +b^{2} =10^{2}

Simplify:

36+b^{2} =100

Take the 36 to the other side:

b^{2} =36+100

Simplify:

b^{2} = 136

To get rid of the square on the other side, put radicals on each side:

\sqrt{b^{2} }=\sqrt{136}

Simplify, the square and radical on the left cancel out:

b=\sqrt{136}

So that's the line in the center, not x, to find x, do the same.

x = \sqrt{120}

:)

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Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters
Solnce55 [7]

<u>Answer:</u>

The cost of one gallon of gas in Toronto, Canada is $3.458.

<u>Solution: </u>

Given, One gallon of gasoline in buffalo, New York costs $2.29.  

In Toronto, Canada, one liter of gas costs $0.91.  

There are 3.8 liters in one gallon.  

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

3 0
3 years ago
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matrenka [14]

A. tenths

B. ones

C. oneths

D. thousands

E. others

my answer is A. ones

5 0
3 years ago
In a group of 10 people, there are 4 people that have the flu virus. Suppose we pick 3 random persons to test in order to determ
Murljashka [212]

Answer:

Tests is 100% Accurate, so by using the formula of random variable probability.

Step-by-step explanation:

Total number of people = 10

Sample space = p(A) = 10

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Pick random 3 persons, the possibility that they have flue is n(A) = ?

Let X is the random variable, consisting of number of positive flu test,

Tests is 100% Accurate, so by using the formula of random variable probability, we get

  P(X) = n (A) / n(S)

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5 0
3 years ago
5) BRAINLIEST + 15 POINTS :)
MAXImum [283]

Answer:

The answer is D.

Step-by-step explanation:

As the question say x represents number of minutes and y represents total amoumt so $5 and $10 is a fixed amount that are needed to pay for each month. So the expression for each month that is needed to pay is :

y = 0.99x + 5

y = 0.79x + 10

4 0
3 years ago
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