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3 years ago

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If 5 people take up approximately 3 square feet, estimate the size of a crowd at a concert in the park in a space that is half a

mile long and 30 feet deep. Draw pictures as needed and THOROUGHLY show all steps of your work. Remember: 1 mile = 5280 feet.

1 answer:

sertanlavr [38]3 years ago

8 0

Answer:

So 1/2 a mile is 2640 feet and then it would be 30 feet deep. Wouldn't the final answer be 84?

Step-by-step explanation:

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Dilate the the triangle, scale factor = 3 (positive 3, ignore the

HACTEHA [7]

Answer:

The rule of dilation is $P'(x,y) = 3\cdot P(x,y)$ .

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

$P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0,0)$ , $k = 3$ , $A(x,y) = (-7,-6)$ , $B(x,y) = (-5,-2)$ and $C(x,y) =(-1,-5)$ , then dilated points of triangle ABC are, respectively:

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]$

$A'(x,y) = (-21, -18)$

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]$

$B'(x,y) = (-15,-10)$

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$ (4)

$C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]$

$C'(x,y) = (-3,-15)$

The rule of dilation is:

$P'(x,y) = 3\cdot P(x,y)$ (5)

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

7 0

3 years ago

Is 105/2 equivalent to 210/4

jarptica [38.1K]

Yes.

$\dfrac{210}{4}=\dfrac{105\cdot\not2}{2\cdot \not2}=\dfrac{105}{2}$

7 0

3 years ago

F(x) = x² + 10 <br>What is the average rate of change of f over the interval [ -2,-1?

KIM [24]

Answer:

-3

Step-by-step explanation:

f(-2) = (-2)^2 + 10 = 14 -> (-2, 14)

f(-1) = (-1)^2 + 10 = 11 -> (-1, 11)

(11-14)/(-1-(-2)) = -3/1 = -3

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3 years ago

Find the 57th term of the sequence 74n-29, where n represents the position of a term in sequence.

zhannawk [14.2K]

Answer:

4189

Step-by-step explanation:

Given sequence is:

$a_n=74n-29$

Plugging n = 57 in the given sequence, we find:

$a_{57}=74(57)-29$

$a_{57}=4218-29$

$\huge \red{a_{57}= \boxed{4189}}$

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3 years ago

20 + 3 (7 + 4) + 5 + 2 (7 + 9)

Lunna [17]

Answer:

90

Step-by-step explanation:

i did the math hope this helps you out

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3 years ago