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Monica [59]
3 years ago
15

HELP RIGHT NOW AND ILL GIVE BRAINLY IF CORRECT

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

-9

Step-by-step explanation:

3^{-36}= 27^{-12}

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On a coordinate plane, triangle A B C is shown. Point A is at (0, 0), point B is at (3, 4), and point C is at (3, 2). What is th
Elena L [17]

Answer:

The area of triangle for the given coordinates is  1.5\sqrt{4.6}

Step-by-step explanation:

Given coordinates of triangles as

A = (0,0)

B = (3,4)

C = (3,2)

So, The measure of length AB = a = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, a = \sqrt{(3-0)^{2}+(4-0)^{2}}

Or, a =  \sqrt{9+16}

Or, a =   \sqrt{25}

∴ a = 5 unit

Similarly

The measure of length BC = b = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, b = \sqrt{(3-3)^{2}+(2-4)^{2}}

Or, a =  \sqrt{0+4}

Or, b =   \sqrt{4}

∴ b = 2 unit

And

So, The measure of length CA = c = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Or, c = \sqrt{(3-0)^{2}+(2-0)^{2}}

Or, c =  \sqrt{9+4}

Or, c =   \sqrt{13}

∴ c = \sqrt{13} unit

Now, area of Triangle written as , from Heron's formula

A = \sqrt{s\times (s-a)\times (s-b)\times (s-c)}

and s = \frac{a+b+c}{2}

I.e  s = \frac{5+2+\sqrt{13}}{2}

Or. s =  \frac{7+\sqrt{13}}{2}

So, A = \sqrt{(\frac{(7+\sqrt{13})}{2})\times ((\frac{(7+\sqrt{13})}{2})-5)\times (\frac{7+\sqrt{13}}{2}-2)\times (\frac{7+\sqrt{13}}{2}-\sqrt{13})}

Or, A = \sqrt{(\frac{(7+\sqrt{13})}{2})\times (\frac{(\sqrt{13}-3)}{2})\times (\frac{4+\sqrt{13}}{2})\times (\frac{7-\sqrt{13}}{2})}

Or, A = \frac{3}{2} × \sqrt{1+\sqrt{13} }

∴  Area of triangle = 1.5\sqrt{4.6}

Hence The area of triangle for the given coordinates is  1.5\sqrt{4.6}  Answer

7 0
3 years ago
Read 2 more answers
Simplify the expression 9k(8k+7)
Sholpan [36]

Answer:

<em>135k</em>

Step-by-step explanation:

<em>9k*8k=72k</em>

<em>9k*7=63k</em>

<em>72k+63k=135k</em>

4 0
3 years ago
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Need help asap mathematics
labwork [276]

Answer:

Step-by-step explanation:

Domain={-3,-2,1,2}

Range={3,5}

Yes the relation is a function.

7 0
3 years ago
Can you prove these similar triangle step by step?
RUDIKE [14]

Answer:

If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. the remaining sets of angles will be congruent and the remaining corresponding sides will be in proportion.

hopes this helps

Step-by-step explanation:

4 0
3 years ago
HELPPP PLSSS!!!!!!!!!!! Find the volume of the cone.
Katen [24]

Answer:

The volume of cone is \boxed{\tt{167.47}} unit³.

Step-by-step explanation:

<u>Solution</u> :

As per given question we have provided :

  • ➝ Radius of cone = 4 units
  • ➝ Height of cone = 10 units

Here's the required formula to find the volume of cone :

{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}

  • V = Volume
  • π = 3.14
  • r = radius
  • h = height

Substituting all the given values in the formula to find the volume of cone :

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(4)}^{2}10}}}

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(4 \times 4)}10}}}

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14{(16)}10}}}

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 16 \times 10}}}

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 160}}}

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{1\times 3.14 \times 160}{3}}}}

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{3.14 \times 160}{3}}}}

{\longrightarrow{\sf{Volume_{(Cone)} = \dfrac{502.4}{3}}}}

{\longrightarrow{\sf{Volume_{(Cone)}  \approx 167.47}}}

\star{\underline{\boxed{\sf{\purple{Volume_{(Cone)} \approx 167.47\:  {unit}^{3}}}}}}

Hence, the volume of cone is 167.47 unit³.

\rule{300}{2.5}

5 0
2 years ago
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