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2 years ago

WORTH 100 POINTS!!!

Mathematics

1 answer:

Ulleksa [173]2 years ago

6 0

1) Identify the statement you want to prove is true

2) Assume temporarily that the statement is false; assume the opposite is true

3) Obtain statements that logically follow from your assumption.

4) Reason logically until you reach a contradiction of a known fact.

5) Point out that your assumption must be false, and the statement must then be true.

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This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters

I am Lyosha [343]

Answer:

Scale factor for the drawing from actual park = $\frac{1}{20}$

Area of the actual park = 1200 cm²

Step-by-step explanation:

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = $\frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}$

$\frac{5}{\text{Actual length of park}}=\frac{1}{20}$

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

= 100 × 120

= 1200 square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

7 0

3 years ago

Compare |-0.658| and |-0.653|

Andre45 [30]

Answer:

|−0.658| < |−0.653|.

Step-by-step explanation:

4 0

3 years ago

Suppose that, for a set of (x,y) pairs, we know only that the correlation coefficient is r=0.97 but do not know anything else. A

lutik1710 [3]

Answer:

carnea estral esto (e,) d=17 =n estalio perana con tina!

Step-by-step explanation:

7 0

3 years ago

Enter an inequality that represents the graph in the box.<br><br>PLEASE HELP ME!

a_sh-v [17]

The line is solid so we have either ≤ or ≥

find the equation of the line

ok, a y intercept if -1
sllope=rise/run=3/1=3

y=mx+b
m=slope
b=y intercept

y=3x-1 is the equaton

now find if it's y≥3x-1 or y≤3x-1

test a point
we see (0,0) Is not in in it
test it in y≥3x-1
0≥3(0)-1
0≥-1
false,
so this is the equation because (0,0) is not a valid solution for this equation

answer is y≥3x-1

7 0

3 years ago

Read 2 more answers

What is the derivative of 2sinx and 2cos2x? i need to find the rules in finding derivative of such functions.

sertanlavr [38]

One must use the chain rule to solve such problems:

$\frac { dy }{ du } \cdot \frac { du }{ dx } =\frac { dy }{ dx }$

One must also know that:

$If\quad y=\sin { x } ,\quad \frac { dy }{ dx } =\cos { x } \\ \\ If\quad y=\cos { x } ,\quad \frac { dy }{ dx } =-\sin { x }$

This means that:

$y=2\sin { x } =2u\\ \\ \frac { dy }{ du } =2\\ \\ u=\sin { x } \\ \\ \frac { du }{ dx } =\cos { x } \\ \\ \therefore \quad \frac { dy }{ du } \cdot \frac { du }{ dx } =2\cos { x } =\frac { dy }{ dx }$

And also:

$y=2\cos { 2x } =2u\\ \\ \frac { dy }{ du } =2\\ \\ u=\cos { 2x } =\cos { p } \\ \\ \frac { du }{ dp } =-\sin { p=-\sin { 2x } } \\ \\ p=2x\\ \\ \frac { dp }{ dx } =2\\ \\ \frac { dp }{ dx } \cdot \frac { du }{ dp } =-2\sin { 2x } =\frac { du }{ dx } \\ \\ \therefore \quad \frac { dy }{ du } \cdot \frac { du }{ dx } =-4\sin { 2x } =\frac { dy }{ dx } \\$

3 0

3 years ago