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Anestetic [448]

3 years ago

7

a man on the fifth floor of a building shouts down to a person on the street. if the angle of elevation from the street to the m

an in the building is 35 and the man in the building is 40 feet up, about how far away from the building is the person in the street

2 answers:

algol [13]3 years ago

3 0

25 feet hope this help :)

Maslowich3 years ago

3 0

I think the correct answer is 57 feet.

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Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1

WINSTONCH [101]

Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation ( $\sigma$ ) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

$n=(\dfrac{z^*\sigma}{E})^2$ , z* = Two-tailed critical value for the given confidence interval.

For 95% confidence level , z* = 1.96

As, $\sigma$ = 8.265, E = 1

So, $n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]$

Hence, the number of first-year residents she must survey to be 95% confident= 263

7 0

3 years ago

45 mi<br> 28 mi<br> What is the length of the hypotenuse?

solniwko [45]

Answer:

c = 53 miles

Step-by-step explanation:

6 0

3 years ago

A rate of deposit of dust from unpolluted air is 10.0 tons per square mile per month (30 days). what is this dust fall, in milli

valina [46]

The rate of dust deposition is
$Rate= \frac{10 \,tons}{mi^{2}-30\,days} = \frac{1}{3} \, \frac{tons}{mi^{2}-day}$

Note that
1 ton = 9.07185 x 10⁵ g = 9.07185 x 10⁸ mg
1 mi = 1609.34 m = 1.60934 x 10³ m
1 day = 24 h

Therefore
$Rate=( \frac{1}{3}\, \frac{tons}{mi^{2}-day} )*( \frac{1}{24} \, \frac{day}{h} )*( \frac{1}{1.60934\times10^{3}}\, \frac{mi}{m} )^{2}*(9.07185\times10^{8}\, \frac{mg}{ton})\\= 4.865\, \frac{mg}{m^{2}-h}$

Answer: $4.865\, \frac{mg}{m^{2}-h}$

3 0

3 years ago

Use the Distributive Property to expand<br> the expression:<br> 2 (y + 5x - 3)

ankoles [38]

2y+10x-6, just distribute the 2!

8 0

3 years ago

You decide to purchase 30 toys, Your first few customers each buy 3 toys, and

grigory [225]

Answer:

30- 3x $\leq$ 14

Step-by-step explanation:

Let say that Y is the number of toys you have now and X is the number of the customer. Every customer (X) buy 3 toys, and you have 30 toys at the start. So you can put this equation

30- 3x = Y

Now you have at least 14 toys, in other words, it is more than or equal to 14 ( $\leq$ 14). The equation will be:

30- 3x $\leq$ 14

6 0

3 years ago