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3 years ago

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A Math Coach took 15% of the scholars to the competition in manhattan. 12 scholars went to the competition.

1 answer:

valentinak56 [21]3 years ago

8 0

The math coach took 12 out of 80 scholars to the competition

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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

a group of five people can do a piece of work in 6 hours calculate the time a group of 8 people will take to complete the same w

frosja888 [35]

Answer:

3.75 hours

Step-by-step explanation:

Total time needed

5 * 6 = 30 hours

with 8 people

30/8 = 3.75 hours

5 0

3 years ago

Read 2 more answers

A jet plane can carry up to 200,000 liters of fuel. It used to 130,000 liters of fuel during a flights. What percentage of the f

LekaFEV [45]

65%
Step-by-step explanation:
Given: Full capacity= 200000 litres
Amount of fuel used during flight= 130000 litres
Now, finding percentage of fuel used on the flight.
∴ Percentage of fuel used=
Solving it, we will get
∴ 65% of fuel capacity been used in this flight.

7 0

3 years ago

Write all that apply plz

Taya2010 [7]

the answers that apply are B, D, and F

6 0

3 years ago

Riley drink 4/5 quart of iced tea and her friend drink 0 3/10 quart how much more of a quart of iced tea did Riley drink than he

Arada [10]

Answer:

$\frac{1}{2}$ quart

Step-by-step explanation:

Given:

Riley drink 4/5 quart of iced tea

And her friend drink 0 3/10 quart of iced tea

Question asked:

how much more of a quart of iced tea did Riley drink than her friend = ?

Solution:

Riley drank of iced tea = $\frac{4}{5}$

Her friend drank of iced tea = $0\frac{3}{10}$

= $\frac{3}{10}$

We will subtract the share of her friend from Riley's share

Riley drank more than her friend = $\frac{4}{5} - \frac{3}{10}$

= $\frac{5}{10}$

= $\frac{1}{2}$

Thus, Riley drank $\frac{1}{2}$ quart more than her friend.

3 0

4 years ago