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qwelly [4]
3 years ago
13

What is the value of x, if the area of ΔABC is 12√3 square cm.

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

What is the value of x, if the area of ΔABC is 12√3 square cm ...

Step-by-step explanation:

maybe this link  helps you

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qwelly [4]

Answer:

1st: -3    -5

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Step-by-step explanation:

4 0
3 years ago
A man is driving in a city that is built on a grid his car is at point S(66,17), and he needs to get to a parking lot at point T
Marysya12 [62]

Answer:

Step-by-step explanation:

Hmm ndndnn

6 0
3 years ago
Help there are five people at the carnival they are 15 people at the other carnival how many people are there
faltersainse [42]
I think there are 20 people
7 0
3 years ago
Let $f(x) = x^2$ and $g(x) = \sqrt{x}$. Find the area bounded by $f(x)$ and $g(x).$
Anna [14]

Answer:

\large\boxed{1\dfrac{1}{3}\ u^2}

Step-by-step explanation:

Let's sketch graphs of functions f(x) and g(x) on one coordinate system (attachment).

Let's calculate the common points:

x^2=\sqrt{x}\qquad\text{square of both sides}\\\\(x^2)^2=\left(\sqrt{x}\right)^2\\\\x^4=x\qquad\text{subtract}\ x\ \text{from both sides}\\\\x^4-x=0\qquad\text{distribute}\\\\x(x^3-1)=0\iff x=0\ \vee\ x^3-1=0\\\\x^3-1=0\qquad\text{add 1 to both sides}\\\\x^3=1\to x=\sqrt[3]1\to x=1

The area to be calculated is the area in the interval [0, 1] bounded by the graph g(x) and the axis x minus the area bounded by the graph f(x) and the axis x.

We have integrals:

\int\limits_{0}^1(\sqrt{x})dx-\int\limits_{0}^1(x^2)dx=(*)\\\\\int(\sqrt{x})dx=\int\left(x^\frac{1}{2}\right)dx=\dfrac{2}{3}x^\frac{3}{2}=\dfrac{2x\sqrt{x}}{3}\\\\\int(x^2)dx=\dfrac{1}{3}x^3\\\\(*)=\left(\dfrac{2x\sqrt{x}}{2}\right]^1_0-\left(\dfrac{1}{3}x^3\right]^1_0=\dfrac{2(1)\sqrt{1}}{2}-\dfrac{2(0)\sqrt{0}}{2}-\left(\dfrac{1}{3}(1)^3-\dfrac{1}{3}(0)^3\right)\\\\=\dfrac{2(1)(1)}{2}-\dfrac{2(0)(0)}{2}-\dfrac{1}{3}(1)}+\dfrac{1}{3}(0)=2-0-\dfrac{1}{3}+0=1\dfrac{1}{3}

6 0
3 years ago
The price of rail tickets increased by 5%
Arte-miy333 [17]
5% = 2.30pounds
2.30 ÷  0.05 = 46 pounds 
7 0
3 years ago
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