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2 years ago

HELP PLEASSEEE IT REALLY URGENT!!!! PLEASE ONLY ANSWER IF YOU ARE CONFIDENT!

Mathematics

1 answer:

Dmitry [639]2 years ago

6 0

Answer:

B. 12.5 feet below the surface of the water

Step-by-step explanation:

-20 + (-32.5) + 40

40 - 52.5

= -12.5 feet

= 12.5 feet below the water

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The vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). what is the perimeter and area in square units

ad-work [718]

Check the picture below.

the triangle has that base and that height, recall that A = 1/2 bh.

now as for the perimeter, you can pretty much count the units off the grid for the segment CB, so let's just find the lengths of AC and AB,

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&C&(~ 6 &,& 2~)
\end{array}~~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{(6-2)^2+(2-8)^2}\implies AC=\sqrt{4^2+(-6)^2}
\\\\\\
AC=\sqrt{16+36}\implies AC=\sqrt{52}\implies AC=\sqrt{4\cdot 13}
\\\\\\
AC=\sqrt{2^2\cdot 13}\implies AC=2\sqrt{13}$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&B&(~ 16 &,& 2~)
\end{array}\\\\\\
AB=\sqrt{(16-2)^2+(2-8)^2}\implies AB=\sqrt{14^2+(-6)^2}
\\\\\\
AB=\sqrt{196+36}\implies AB=\sqrt{232}\implies AB=\sqrt{4\cdot 58}
\\\\\\
AB=\sqrt{2^2\cdot 58}\implies AB=2\sqrt{58}$

so, add AC + AB + CB, and that's the perimeter of the triangle.

8 0

3 years ago

Write the word sentence as an equation. Then solve the equation. A number multiplied by 2/3 is 3/20.

vaieri [72.5K]

Answer:

Equation = X*(2/3) = 3/20

Solve for X = 0.23

Step-by-step explanation:

Let, the number be "X"

According to the question,

X*(2/3) = 3/20..........(i)

From equation (i), we can get,

X = (3/20)/(2/3)

or, X = 0.15/0.66

or, X = 0.23

Alternative way,

Let, the number be "X"

According to the question,

X*(2/3) = 3/20..........(i)

From equation (i), we can get,

X = (3/20)/(2/3)

or, X = (3/20)*(3/2)

or, X = 9/40

or, X = 0.23

7 0

3 years ago

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Vladimir79 [104]

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2 years ago

A roller coaster car starts at the loading platform, rises 30.4 meters, and then takes a steep dive of 50.4 meters into a valley

tigry1 [53]

The answer is 2.5 meters long

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2 years ago

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