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Nookie1986 [14]

3 years ago

14

Similar shapes are always congruent true or false?

1 answer:

ValentinkaMS [17]3 years ago

4 0

Answer:

FALSE

Step-by-step explanation:

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In equilateral triangle RST, R has coordinates (0, 0) and T has coordinates of (2a, 0). Find the coordinates of S in terms of a.

FromTheMoon [43]

The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a

so S is (a , sqrt3a)

4 0

3 years ago

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A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line

anzhelika [568]

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

$V_L= 100 m^3/h * 3h=300\ m^3$

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

$V_R= 280 m^3/h * 3h=840\ m^3$

To get the best estimate of the total volume, let us find the average of the two values, hence:

$Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3$

3 0

3 years ago

What is the square root of 36?

Ket [755]

6 is the answer noob

5 0

3 years ago

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A rectangle has a perimeter 66 cm and length 24 cm what is its width

Elenna [48]

I think the answer is 2.75. I divided 66 and 24.
Hope this helps! Let me know if I'm right but um bad at math lol...

4 0

3 years ago

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first <u>202</u> chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

<em>As, the farmer had twice as many chickens as ducks on his farm.</em>

So, $x=2y$ ......(1)

<em>As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.</em>

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

<em>By cross multiplying we get:</em>

$4y-332=y-29$

<em>Adding both sides 332 we get:</em>

$4y=y+303$

<em>Subtracting both sides by </em> $y$ <em> we get:</em>

$3y=303$

<em>Dividing both sides by 3 we get:</em>

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago