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3 years ago

9

John an architect, used a scale factor of 1 inch = 20 feet to design a site plan. the actual park has been designed to be 18 fee

t long determine the length of the car park as depicted in the blueprint

1 answer:

lina2011 [118]3 years ago

3 0

Answer:12

Step-by-step explanation:

You might be interested in

Solve quadratic inequality x^2+4x≥0

klemol [59]

Answer:

Step-by-step explanation:

y = x² + 4x is an up-opening parabola with x-intercepts 0 and -4.

y ≥ 0 when x≤-4 or x≥0

range: (-∞,-4)∪[0,+∞)

7 0

3 years ago

The temperature fell by 15 degrees Fahrenheit today.

katrin2010 [14]

<h3>Answer is -15</h3>

We read this out as "negative 15" or you could write "negative fifteen".

The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.

For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.

8 0

3 years ago

Figure B is a scaled copy of Figure A.Select all of the statements that must be true:

KatRina [158]

Answer:

B) Figure B has the same number of edges as Figure A

D) Figure B has the same number of angles as Figure A

E) Figure B has angles with the same measures as Figure A

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

If Figure B is a scaled copy of Figure A

then

Figure A and Figure B are similar

therefore

<u><em>The statements that must be true are</em></u>

B) Figure B has the same number of edges as Figure A

D) Figure B has the same number of angles as Figure A

E) Figure B has angles with the same measures as Figure A

6 0

3 years ago

A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y

jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / $\sqrt{p*(1-p) / n}$

x = 0.1235 - 0.10 / $\sqrt{0.10 * 0.90 / 527}$

x = 0.0235 / $\sqrt{0.09 / 527}$

x = 0.0235 / $\sqrt{0.00017077798}$

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0

3 years ago

A ball is thrown from a height of 38 meters with an initial downward velocity of 3 m/s

ANTONII [103]

<h2>Hello!</h2>

The answer is:

The ball will hit the ground after $t=2.47s$

<h2>Why?</h2>

Since we are given a quadratic function, we can calculate the roots (zeroes) using the quadratic formula. We must take into consideration that we are talking about time, it means that we should only consider positive values.

So,

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$

We are given the function:

$h=-5t^{2}-3t+38$

Where,

$a=-5\\b=-3\\c=38$

Then, substituting it into the quadratic equation, we have:

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}=\frac{-(-3)+-\sqrt{(-3)^{2} -4*-5*38} }{2*-5}\\\\\frac{-(-3)+-\sqrt{(-3)^{2} -4*-5*38} }{2*-5}=\frac{3+-\sqrt{9+760} }{-10}\\\\\frac{3+-\sqrt{9+760} }{-10}=\frac{3+-\sqrt{769} }{-10}=\frac{3+-27.731}{-10}\\\\t1=\frac{3+27.731}{-10}=-3.073s\\\\t2=\frac{3-27.731}{-10}=2.473s$

Since negative time does not exists, the ball will hit the ground after:

$t=2.473s=2.47s$

Have a nice day!

4 0

3 years ago

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