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Vikentia [17]
3 years ago
12

If you place a 65-foot ladder against the top a 16-foot building ,how many feet will the bottom of ladder be from the bottom of

the building?
Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

You can use the Pythagoren Theorem:

Ladder distance ² = hypotenuse ² - height ²

Ladder distance ² = 65 ² - 16 ²

Ladder distance ² = 4,225 -256

Ladder distance ² = 3,969

Ladder distance = 63 feet

Step-by-step explanation:

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Q and r are independent events. if p(q) = 1/4 and p(r)=1/5, find p(q and r)
klasskru [66]

Answer:

(b) \frac{7}{30}

Step-by-step explanation:

When two p and q events are independent then, by definition:

P (p and q) = P (p) * P (q)

Then, if q and r are independent events then:

P(q and r) = P(q)*P(r) = 1/4*1/5

P(q and r) = 1/20

P(q and r) = 0.05


In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.


In the first ballot box there are 9 balls, 3 white and 6 yellow.

Then the probability of obtaining a white ball from the first ballot box is:

P (W_{u_1}) = \frac{3}{9} = \frac{1}{3}

In the second ballot box there are 10 balls, 7 white and 3 yellow.

Then the probability of obtaining a white ball from the second ballot box is:

P (W_{u_2}) = \frac{7}{10}

We want to know the probability of obtaining a white ball in both urns. This is: P(W_{u_1} and W_{u_2})  

As the events are independent:

P(W_{u_1} and W_{u_2})  = P (W_{u_1}) * P (W_{u_2})

P(W_{u_1} and W_{u_2})  = \frac{1}{3}* \frac{7}{10}

P(W_{u_1} and W_{u_2})  = \frac{7}{30}

Finally the correct option is (b) \frac{7}{30}

3 0
3 years ago
Write an expression for number 26 if x is an unknown number
hram777 [196]
1.3 bc 8 miss 3 equals 24
5 0
3 years ago
Read 2 more answers
If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t
xenn [34]

Answer:

\frac{3}{5}

Step-by-step explanation:

  • Let the denominator be x
  • So, numerator = x - 2
  • According to the given condition: when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is \frac{1}{2}

  • \implies \frac{x-2-1}{x-1}=\frac{1}{2}

  • \implies \frac{x-3}{x-1}=\frac{1}{2}

  • \implies 2(x-3)=x -1

  • \implies 2x-6=x -1

  • \implies 2x-x=6-1

  • \implies x=5

  • \implies x-2=-5-2= 3

  • Required \: rational\: number = \frac{3}{5}
6 0
2 years ago
H=−4.9t2+25t
lina2011 [118]

ANSWER

5

EXPLANATION

The equation that expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground is

h(t) =  - 4.9 {t}^{2}  + 25t

To find the time when the ball hit the ground,we equate the function to zero.

- 4.9 {t}^{2}  + 25t = 0

Factor to obtain;

t( - 4.9t + 25) = 0

Apply the zero product property to obtain,

t = 0 \: or \:  \:  - 4.9t + 25 = 0

t = 0 \:  \: or \:  \: t =  \frac{ - 25}{ - 4.9}

t=0 or t=5.1 to the nearest tenth.

Therefore the ball hits the ground after approximately 5 seconds.

4 0
3 years ago
Read 2 more answers
Please help!!
postnew [5]

2  \frac{5}{8}  \div 2  \frac{1}{2}
Change the mixed fractions to improper fractions.
To do this, multiply the whole number part by the denominator. Add that to the numerator. Then write the result on top of the denominator.

You would now have:
\frac{21}{8}  \div  \frac{5}{2}
Change the division sign to a multiplication sign by turning the second fraction upside down.
That is,
\frac{21}{8}  \times  \frac{2}{5}

The answer is:
\frac{42}{40}

This can be simplified to:
\frac{21}{20}



8 0
3 years ago
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