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Airida [17]
2 years ago
14

Sally is an architect who creates a blueprint of a rectangular dining room. The area of the actual dining room is 1600 times lar

ger than the area of the dining room on the blueprint. The length of the dining room on the blueprint is 3 inches. What is the length of the actual dining room in inches?
Mathematics
1 answer:
Levart [38]2 years ago
6 0

Answer:

3 times 1600 = 4800

Step-by-step explanation:

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A blue boat and a red boat are on the same side of a lake and are 18 miles apart. The blue boat is 30 miles from a lighthouse on
rewona [7]

9514 1404 393

Answer:

  • red boat distance: 42 miles
  • angle at lighthouse: 22°

Step-by-step explanation:

The Law of Cosines can be used to find the distance from the red boat to the lighthouse.

  b² = l² +r² -2lr·cos(B)

  b² = 18² +30² +2·18·30·cos(120°) = 1764

  b = √1764 = 42

The distance from the red boat to the lighthouse is 42 miles.

__

The angle at the lighthouse can be found using the law of sines.

  sin(L)/l = sin(B)/b

  L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°

The angle between the boats measured at the lighthouse is about 22°.

8 0
3 years ago
5y + 3= 14<br><br>pleaseeeee help ​
MrRa [10]

Answer:

5y + 3= 14

subtract 3 from each side

5y=11

divide each side by 5

5y/5=11/5

y=11/5 or 2.2 or 2 1/5

Hope This Helps!!!

3 0
2 years ago
Read 2 more answers
What is the positive root of the equation x 2 + 5x = 150?
Artyom0805 [142]
X2+5x-150=       <span><span> x = 10 </span><span> x = -15
</span></span>
5 0
3 years ago
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