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Llana [10]
3 years ago
8

7 x n =42+7 A.6 B.7 C.42 D.56 E.294

Mathematics
1 answer:
ra1l [238]3 years ago
8 0

Answer:

B 7

Step-by-step explanation:

7 x n = 42 +7

42+7=49

7xn=49

49÷7 = 7

n=7

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An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane f
Sphinxa [80]

Answer:

Distance between plane and airport is 134.4 miles.

Step-by-step explanation:

Given : An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W.

To find : How far is the plane from the airport.

Solution : Distance from airport to west is 150 miles and then 170 miles in the direction south  and angle form is S 49.17° W

Refer the attached picture for clearance.

Applying law of cosines

c^2=a^2+b^2-2ab Cos(C)

c=\sqrt{a^2+b^2-2ab Cos(C)}

where a= 150 miles

b=170 miles

C=   49.17° angle in degree

c = distance between plane from the airport

Put values in the formula,

c=\sqrt{a^2+b^2-2ab Cos(C)}

c=\sqrt{150^2+170^2-2(150)(170) Cos(49.17^{\circ})}

c=\sqrt{22500+28900-51000(0.653)}

c=\sqrt{51400-33303}

c=\sqrt{18057}

c=134.37

Therefore, Distance between plane and airport is 134.4 miles.

5 0
3 years ago
Read 2 more answers
Which relation is a function? (look at image below)
Dimas [21]

Answer:

Bottom Right Graph (Absolute Value)

General Formulas and Concepts:

  • Vertical Line Test

Step-by-step explanation:

When we apply the VLT to the 4 different graphs, we see that the only graph that actually passes the VLT is the absolute value graph. Therefore, that is our answer (none of the other graphs pass the VLT).

5 0
3 years ago
The length of a rectangular garden is 5 m longer than it's breadth. If it's perimeter is 150 m, find the area of the garden.​
jonny [76]

Answer:

Step-by-step explanation:

L = B + 5

2L + 2B = 150

Substituting gives 2B + 2(B+5) = 150

4B = 140

B=35; L = 40

Area = B x L = 35 x 40 = 1400 m2

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3 years ago
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SSSSS [86.1K]

Answer:

-4

Step-by-step explanation:


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3 years ago
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Suppose U= {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P= {1, 2, 3, 4}. What is P?
Digiron [165]
Did you mean P' ? The letter P with a tick mark after it. If so, then start with set U and erase any number you find in set P

We start with 
{1,2,3,4,5,6,7,8}
and we erase the following: 1,2,3,4
since those numbers are in set P

P = {1,2,3,4}
P ' = {5, 6, 7, 8}

<span>The set P' is the complement of set P. It is, in a sense, the opposite of set P. It contains everything that P doesn't have.</span>
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3 years ago
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