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lawyer [7]
3 years ago
8

I need help! I don't know how to get the answer or what it is. Can anyone help me it's for a test and I'm on my last attempt?

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

(4)

Using the sine ratio in  the right triangle

sinΘ = \frac{opposite}{hypotenuse} = \frac{7}{9}, thus

Θ = sin^{-1}(\frac{7}{9}) ≈ 51.1°

(5)

Using the tangent ratio in the right triangle

tanΘ = \frac{opposite}{adjacent} = \frac{4}{5}, thus

Θ = tan^{-1}(\frac{4}{5}) ≈ 38.7°

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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?
Delicious77 [7]

The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

=  (285 mi)j + (132 mi)i

=  (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi

Learn more about magnitude of resultant vector here:

brainly.com/question/28047791

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8 0
1 year ago
Can anyone please help me to find the area of this please
valentinak56 [21]

9514 1404 393

Answer:

  √35 +3√7 -6 . . . square units

Step-by-step explanation:

The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.

Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.

The overall width is the sum of the given partial widths:

  width = (√7 -2) + (2) = √7

Then the area of the bounding rectangle is ...

  A = LW = (√5 +3)(√7) = √35 +3√7

The area of the upper right empty-space is ...

  A = LW = (3)(2) = 6

Then The area of the shaded figure is ...

  √35 +3√7 -6

5 0
2 years ago
What is 377,060 written in expanded form using exponents
Zinaida [17]
3x10^5
+7x10^4
+7x10^3
+0x10^2
+6x10^1
+0x10^0
7 0
3 years ago
David has two jobs. He earns $8 per hour babysitting his neighbor’s children and he earns $11 per hour working at the coffee sho
denpristay [2]

Answer:

The answer is 5 hours.

Step-by-step explanation:

First you have to figure out how much money he already had by working at the coffee shop, so take the 15 hours and multiply it by 11$ he makes per hour and you get 165$, now you have to subtract the 200$ by 165$ to figure out how much he needs so 200 - 165 = 35 that is needed, then you keep going up an hour until your total comes above 35 so if he does 1 hour its 8, 2 hours is 16, 3 hours is 24, 4 hours is 32, and 5 hours is 40 which is finally enough to reach his goal.

5 0
3 years ago
Read 2 more answers
Please help I would love that!
Kazeer [188]

Answer:

Area= 7234.56

Step-by-step explanation:

area= πr²

diameter= 96

so that means radius is 48

48^{2} \pi= 7234.56

8 0
2 years ago
Read 2 more answers
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