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3 years ago

If θ is in Quadrant III and sinθ = -3/5, then cosθ = _____.

1 answer:

4 0

Because the angle omega is in QIII, the adjacent side lies to the left of the origin and thus is represented by a negative value. Since sin omega = -3/5, the opposite side is also negative. Use the Pythagorean Theorem to obtain the length of the adjacent side: 5^2 = (-3)^2 + x^2, or 25 = 9 + x^2, or x^2 = 16.

Solving for x: x = plus or minus 4. Since we are in QIII, let x = -4.

Then cos omega is opp / hyp, or -4/5.

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Definitions given.

Yuki888 [10]

The pitch of the roof is given by the ratio of the rise to the run of the roof, which is the slope of the rafter

$The \ pitch \ of \ the \ roof \ is \ \mathbf {\dfrac{6}{13}}$

Please find attached the simple <u>diagram of the house</u> with all measurements labeled

The reason the above value for the pitch and the diagram are correct are as follows:

The given parameters are;

Width of the section of the house on which the gable of the roof is to be placed = 50 feet

Length of the over hang on the sides of the roof = 1 foot each

Total span of the roof = 52 feet

Horizontal length of each rafter, the run = 26 feet

The height of the ridge above the top of the frame, the rise = 12 feet

Required:

To find the pitch of the roof

To draw a diagram of the house showing measurements

Solution:

$Pitch = \dfrac{Rise}{Run}$

$Pitch \ (slope) \ of \ roof = \dfrac{12}{26} =\dfrac{6}{13}$

Please find attached the <u>diagram</u> of the house showing the measurements for the roof parameters and the section of the house where the gable roof is to be placed

Learn more about finding the slope of a line here:

brainly.com/question/18990889

brainly.com/question/17105217

brainly.com/question/20987659

8 0

2 years ago

Bored so question? Fav Bruno Mars song, Fav Meg the stallion song, Fav Michael Jackson song, Fav Arianna Grande song? You don't

icang [17]

Answer:

Versace on the Floor. Captain Hook. Rock with You. Break up with Your Girlfriend.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I have a LCM and GCF homework can someone help i dont understand??

Sindrei [870]

Alright,

So LCM stands for "least common multiple"
While GCF is "greatest common factor"

Let's look at your number 1 (3&6)

3,6,9,12
6,12,18,24

Both times table has 6 in them making 6 the LCM

To find the GCF we need to know what can go into 3 equally. Since 3 is prime the greatest factor for 3 is....3. 6 goes into 3 two times so 3 is the GCF.

LCM:6
GCF:3

Lets do number 10 (40&4)

For LCM you see whats the smallest number that is in both times tables

4,8,12,16,20,24,28.......40
40,80, 160....

40 is the LCM because 40 is what's the smallest number between the two

GCF?

4 times 1 equals 4. Nothing bigger than 4 can make 4 (if your multiplying). That makes 4 automatically the GCF. :)

6 0

3 years ago

Find the perimeter of a triangle with side lengths of (3c + 4), (5c - 2), and (4c + 7)

igor_vitrenko [27]

Answer:

12c +9 = Perimeter

Step-by-step explanation:

The perimeter of a triangle is found by adding all the sides

3c+4 + 5c-2 + 4c +7 = Perimeter

Combine like terms

12c +9 = Perimeter

5 0

3 years ago

For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers

Gemiola [76]

Answer:

smaller number - 7

greater number - 8

Step-by-step explanation:

let a = smaller number

a + 1 = greater number

the following equation can be derived from the question

(5 x a) = 3 + 4(a + 1)

5a = 3 + 4a + 4

5a = 7 + 4a

5a - 4a = 7

a = 7 = smaller number

a + 1 = 7 + 1 = 8 = greater number

5 0

2 years ago