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Lera25 [3.4K]
3 years ago
12

Solve for x. im pretty confused on how to do this i thought it was 60 but i was wrong​

Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer: x = 12

Step-by-step explanation:

You're on the right track! You're right in saying that each angle has to be 60 degrees since they're supposed to add up to 180. However, the question is asking what x equals, so we set up the equation:

5x = 60

x = 12

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A plane flies 452 miles north and then 767 miles west. What is the magnitude and direction of the plane's resultant vector?
pshichka [43]

<u>Answer:</u>

The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north.

<u>Step-by-step explanation:</u>

• To find the magnitude of the resultant vector, we have to use Pythagoras's theorem:

\boxed{a^2 = b^2 + c^2}

where:

a ⇒ hypotenuse (= resultant vector = ? mi)

b, c ⇒ the two other sides of the right-angled triangle (= 452 mil North, 767 mi West).

Using the formula:

resultant² = 452^2 + 767^2

⇒ resultant =  \sqrt{452^2 + 767^2}

⇒ resultant = 890.3 mi

• To find the direction, we can find the angle (labeled <em>x</em> in diagram) that the resultant makes with the north direction:

tan (x) =\frac{767}{452}

⇒ x = tan^{-1} (\frac{767}{452} )

⇒ x = \bf{59.5 \textdegree}

∴ The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north .

6 0
2 years ago
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PLEASE HELP!!
den301095 [7]

Answer:

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5 0
3 years ago
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it takes 20 pounds of fertilizer to treat a lawn of 7000 square ft., how many pounds of fertilizer are needed to treat a lawn of
frez [133]

It will take 48.5714285714  pounds of fertilizer to treat a lawn of 17,000 Square Ft.

6 0
4 years ago
What does the graph sayyy
lorasvet [3.4K]

Answer:

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3 years ago
Gina is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 12 inches by 14 1/4 inc
Fittoniya [83]

Answer:

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Step-by-step explanation:

Gina needs to cut two types of rectangles.

Dimensions of one rectangle is given as,

Width = 12 inches

Length = 14\frac{1}{4} = \frac{57}{4} inches

So, the area of this rectangular paper will be

Area = width × length = 12\times \frac{57}{4} = 171 inches²

Dimensions of the other rectangular paper has been given as

Width = 10\frac{1}{4} = \frac{41}{4} inches

Length = 10\frac{1}{2} = \frac{21}{2} inches

So, the area of this rectangle will be

Area = width × length = \frac{41}{4} \times \frac{21}{2} = 107.63 inches²

Thus the total area she need to cut = 171 + 107.63 = 278.63 square inches.

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3 years ago
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