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wariber [46]
3 years ago
12

There’s a cat stuck in a 12-foot-tall tree near the Art Museum! Jae has a 13-foot ladder. How far should the ladder be from the

tree to make sure that the cat can be saved?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

5 ft

Step-by-step explanation:

When we draw out our triangle, we should see that we have a right triangle and we need to solve for a leg:

Pythagorean Theorem: a² + b² = c²

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

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The speed of a stream is 4km/h. A boat travels 6 km upstream in the time it takes to travel 12 km downstream. What is the speed
Usimov [2.4K]
<span>6 km × 1 hour/(b-4 km) = 12 km × (1 hour/(b+4 km) 

6/(b-4) hours = 12/(b+4) hours

6(b+4) = 12(b-4)

6b + 24 = 12b - 48
72 = 6b
b = 12 
The boat's speed in still water is 12 km/hour.</span>
4 0
4 years ago
5. If D is the midpoint of CE, CD = 9x - 7, and DE = 3x + 17, find CE.​
swat32

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
Need help I need to turn this in by tomorrow
MatroZZZ [7]

Answer:

A: 6 boxes right, 9 boxes down, 9 boxes left, connect back to start.

B: 3 boxes right, 9 boxes up, (diagonal 6 right, 12 down), 9 boxes up, 6 boxes right.

C: 1 box right, 2 boxes down, 1.5 boxes right, 1 box up, .5 box right, 2.5 boxes down, 3 boxes left, 3.5 boxes up to connect.

D: (diagonal 1 up, 1 right), 1 box right, (diagonal 1 down, 1 right), 1 box down, (diagonal 3 down, 3 left), 3 boxes left

Step-by-step explanation:

6 0
3 years ago
A Washington-based nonprofit research group recently released a report indicating that 60% of government workers acknowledge wit
Alla [95]

Answer:

<em>The probability  that a randomly selected government worker witnessed a violation of ethical standards, policies or laws in the past year but did not report it is </em><em>0.3</em>

Step-by-step explanation:

The outcome of the Washington- based nonprofit research group are that -

  • P (60)  -60% of government workers acknowledge witnessing violations of ethical standards, policies, or laws in the past year;
  • P (40%) - of which went unreported.
  • P (10) - An additional 10% of government workers acknowledged making false reports of violations of ethical standards, policies or laws when they did not actually occur.

∴ P(60%) + P(10%) =  P(70) which is Probability of those that are involved in one form of violations or the other.

Therefore, P(100%) - P(70%) = 30%

P( Not committed and withnessed any violations of ethical standards, policie or law) = 30%/100%

<em>= 0.3</em>

7 0
3 years ago
The perimeter of a rectangular city park is 1,428 feet. The length is 78 feet more than twice the width. Find the length and wid
bogdanovich [222]

Answer:

Length =  502 ft

Width = 212 ft

Step-by-step explanation:

Recall the formula for the perimeter of a rectangle of length "L" and width "W":

Perimeter = 2 L + 2 W = 1428  ft

Now, since the length is 78 ft more than twice the width, then we can write this in mathematical form as:

L = 2 W +78

so, 2 W = L -7 8

and now replace "2 W" with it equivalent  "L - 78"  in the first perimeter equation and solve for "L":

2 L + L - 78 = 1428

3 L = 1428 + 78

3 L = 1506

L = 1506/3

L = 502 ft

Then the width W can be obtained via:

2 W = L - 78

2 w = 502 -78

2 W = 424

w = 212 ft

6 0
3 years ago
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