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Sloan [31]
3 years ago
14

Triangle DEF is on a coordinate plane with its

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

21\ \text{square units}

Step-by-step explanation:

The points are D(-3,5), E(-3,-2) and F(3,0).

Area of a triangle is given by

A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}

\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}

\Rightarrow A=21\ \text{square units}

The area of the given triangle is 21\ \text{square units}.

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2.861 and 7.476 and 9.817 rounded to the nearest hundredth
andrey2020 [161]

Answer:

2.86 7.48 and 9.82 hope this is right!

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3 years ago
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Find the exact value of cos (1140)°.
slamgirl [31]

now let's recall that a full circle has 360°, so then 1140 = 360 + 360 + 360 + 60.

namely, 1140 is 3 full-go-around the circle and then it lands on the I Quadrant at 60°.  Thus cos(1140°) = cos(60°).

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8 0
3 years ago
Find an equation for the line that passes through the points (5, 2) and (-3,6).
RUDIKE [14]

Answer:

y = -1/2x + 6

Step-by-step explanation:

Find the slope

( 5 , 2) ( -3 , 6)

m =( y2 - y1 )/ ( x2 - x1)

x1 = 5

y1 = 2

x2 = -3

y2 = 6

m = ( 6 -2)/(-3 - 5)

m = 4/-8

m = - 1/2

Substitute m into the equation of a line

y = mx + c.

y = -1/2x + c

Substitute any of the two points given into the equation

Let's pick (2 ,5)

x = 2

y = 5

y = -1/2x + c

5 = -1/2(2) + c

5 = -1*2/2 + c

5 = -2/2 + c

5 = -1 + c

c = 5 + 1

c = 6

y = -1/2x + 6

The equation of the line is

y = -1/2x + 6

4 0
4 years ago
The digit 5 appears twice in the number 255,120. How does the total value of the 5 on the right compare to the total value of th
maksim [4K]

Answer:

The value of the first "5" in the number 255,\!120 is ten times that of the second "5\!" in this number.

Step-by-step explanation:

What gives the number "255,\!120" its value? Of course, each of its six digits has contributed. However, their significance are not exactly the same. For example, changing the first \verb!5! to \verb!6! would give 2\mathbf{6}5,\!120 and increase the value of this number by 10,\!000. On the other hand, changing the second \verb!5!\! to \verb!6!\! would give 25\mathbf{6},\!120, which is an increase of only 1,\!000 compared to the original number.

The order of these two digits matter because the number "255,\!120" is written using positional notation. In this notation, the position of each digits gives the digit a unique weight. For example, in 255,\!120\!:

\begin{array}{|r||c|c|c|c|c|c|}\cline{1-7}\verb!Digit!& \verb!2! & \verb!5! & \verb!5! & \verb!1! & \verb!2! & \verb!0!\\\cline{1-7}\textsf{Index} & 5 & 4 & 3 & 2 & 1& 0 \\ \cline{1-7} \textsf{Weight} & 10^{5} & 10^{4} & 10^{3} & 10^{2} & 10^{1} & 10^{0}\\\cline{1-7}\end{array}.

(Note that the index starts at 0 from the right-hand side.)

Using these weights, the value 255,\!120 can be written as the sum:

\begin{aligned}& 255,\!120\\ &= 2 \times 10^{5} + 5 \times 10^{4} + 5 \times 10^{3} + 1 \times 10^{2} + 2 \times 10^{1} + 0 \times 10^{0} \\&=200,\!000 + 50,\!000 + 5,\!000 + 100 + 20 + 0 \end{aligned}.

As seen in this sum, the first "5" contributed 50,\!000 to the total value, while the second "5\!" contributed only 5,\!000.

Hence: The value of the first "5" in the number 255,\!120 is ten times that of the second "5\!" in this number.  

7 0
4 years ago
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8 minutes after midnight please write this in Analog format ​
tia_tia [17]

Answer:

00h08

Step-by-step explanation:

eight minutes passed twelve

4 0
3 years ago
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