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Mashcka [7]
3 years ago
9

PRACTICE

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

Answer:

k = 20

Step-by-step explanation:

Expressing 18, 36 and 54 as a product of their prime factors

18 = 2 × 3 × 3 = 2 × 3²

36 = 2 × 2 × 3 × 3 = 2² × 3²

54 = 2 × 3 × 3 × 3 = 2 × 3³

The common prime factors are 2 and 3²

HCF = 2 × 3² = 2 × 9 = 18

Thus

k - 2 = 18 ( add 2 to both sides )

k = 20

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A ship leaves port on a bearing of 34.0 and travels 10.4 mi. the ship then turns due east and travels 4.6mi. how far is the ship
Natasha2012 [34]
A bearing of 34° corresponds to corresponding angle of θ=90-34=56°
The (x,y) values for the position of the ship after completing its first heading are:
x=(10.4cos 56)
y=(10.4sin56)

The trigonometric angle for θ=90-90=0
The (x,y) values for the postion of the ship after completing the second bearing is:
x=(10.4 cos56)+(4.6cos0)≈10.4 mi
y=(10.4sin56)+(4.6sin0)≈8.6mi

the distance from the port will therefore be:
d=√(10.4²+8.6²)≈13.5 miles

It trigonometric angles is:
θ=arctan(y/x)
θ=arctan(8.6/10.4)
θ≈39.6°
Thus the bearing angle is:
90-39.6=50.4°
6 0
3 years ago
Please help will give brainliest
garri49 [273]

Answer:

b = 17

Step-by-step explanation:

For this triangle we have to

a=18.2\\B=62\°\\C=48\°

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

So

A + 62 +48=180\\\\A=180-62-48\\\\A=70\°

Now we use the sine theorem to find the length of b:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then:

\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17

5 0
3 years ago
I have 2 triangle faces. i have 3 rectanglar faces. i have 6 vertices. i have 9 edges. what am i?
MissTica

Answer:

You are a rectangular prism.

Step-by-step explanation:

Rectangular prisms fill the criteria you described: two triangular faces, three rectangular faces, 6 vertices, and 9 edges. Thus, the answer is correct.

________________________________________________

Hoped that helped! If so, mark me Brainliest!

8 0
3 years ago
Need help with this math. 13 points
densk [106]

Answer:The triangle is dilated by a factor of 1/2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
40 x 125% step it out
AlladinOne [14]

Answer:

0.50 or 50%

Step-by-step explanation:

40 x 125 = X

1.25 as a decimal or 125%

40 x 1.25 = 0.50

0.50 --->50%

40 x 125% = 50%

3 0
2 years ago
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